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1. Shard Calculation

Query:

Response:

Calculated Shard: 51 (from laksa123)

2. Crawled Status Check

Query:

curl -X POST \
  'http://laksa051.int.ahrefs:8124/' \
  -H 'Content-Type: text/plain' \
  -H 'X-ClickHouse-Database: crawler3' \
  -H 'Authorization: Basic YXBpOg==' \
  -d 'SELECT getAhrefsURLFromUnparsed(src_unparsed) AS found_url, ifNull(toUnixTimestamp(download_stamp), 0) AS crawl_time, ifNull(toUnixTimestamp(props_url_first_seen), 0) AS first_indexed_time, download_http_code AS http_code, src_unparsed AS src_unparsed, src_root_hash AS src_root_hash, history_drop_reason AS history_drop_reason, meta_title AS meta_title, meta_descriptions AS meta_descriptions, attrs_boilerpipe_text AS attrs_boilerpipe_text, attrs_markdown AS attrs_markdown, attrs_readable_markdown AS attrs_readable_markdown, meta_canonical AS meta_canonical FROM crawler3.page_info_local FINAL PREWHERE (src_root_hash, src_unparsed) IN ((getAhrefsRootHashFromUnparsed(getAhrefsUnparsedNoserviceFromURL(\'https://www.youtube.com/c/drtreforbazett\')), getAhrefsUnparsedNoserviceFromURL(\'https://www.youtube.com/c/drtreforbazett\'))) FORMAT JSONEachRow'

Response:

{"found_url":"https:\/\/www.youtube.com\/c\/drtreforbazett","crawl_time":1771048769,"first_indexed_time":0,"http_code":200,"src_unparsed":"com,youtube!www,\/c\/drtreforbazett s443","src_root_hash":"3907445400264388851","history_drop_reason":null,"meta_title":"Dr. Trefor Bazett - YouTube","meta_descriptions":["This channel is about helping you learn math. I've got full playlists for Discrete Math, Linear Algebra, Calculus I-IV and Differential equations, as well a..."],"attrs_boilerpipe_text":"What are the big ideas of Multivariable Calculus??   Full Course Intro\n0:02\n\/\n16:49\n•\nWatch full video\nWhat are the big ideas of Multivariable Calculus??   Full Course Intro\n595,599 views\n5 years ago\nWelcome to Calculus III: Multivariable Calculus. This playlist covers a full one semester Calc III courses. In this introduction, I do a visual overview of the big ideas we will see in this course. \n\n►Full Multivariable Calculus Playlist:\nhttps:\/\/www.youtube.com\/playlist?list...\nTopics:\nVisualizing multivariable functions (both surfaces and curves)\nTangent lines to curves\nCurvature and the Frenet Frame\nMultivariable Limits\nPartial Derivatives, Directional Derivatives, and Tangent planes\nOptimization and Lagrange Multipliers\nVolume under a Surface\nSpherical Coordinates\nAnd much more!!\n\n♡♡♡SUPPORT THE CHANNEL♡♡♡\n►Support on PATREON:\nhttps:\/\/patreon.com\/DrTrefor\n►MATH BOOKS I LOVE (affiliate link):\nhttps:\/\/www.amazon.com\/shop\/treforbazett\n►CURIOSITY BOX:\nhttps:\/\/www.CuriosityBox.com\/DrTrefor\nuse CODE drtrefor for 25% off awesome STEM merch boxes\n\nCOURSE PLAYLISTS:\n►DISCRETE MATH:\nhttps:\/\/www.youtube.com\/playlist?list...\n►LINEAR ALGEBRA:\nhttps:\/\/www.youtube.com\/playlist?list...\n►CALCULUS I:\nhttps:\/\/www.youtube.com\/playlist?list...\n►CALCULUS II:\nhttps:\/\/www.youtube.com\/playlist?list...\n►MULTIVARIABLE CALCULUS (Calc III):\nhttps:\/\/www.youtube.com\/playlist?list...\n►VECTOR CALCULUS (Calc IV):\nhttps:\/\/www.youtube.com\/playlist?list...\n►DIFFERENTIAL EQUATIONS:\nhttps:\/\/www.youtube.com\/playlist?list...\n►LAPLACE TRANSFORM:\nhttps:\/\/www.youtube.com\/playlist?list...\n►GAME THEORY:\nhttps:\/\/www.youtube.com\/playlist?list...\nOTHER PLAYLISTS:\n►Cool Math Series:\nhttps:\/\/www.youtube.com\/playlist?list...\n►Learning Math Series:\nhttps:\/\/www.youtube.com\/watch?v=LPH2l...\n►LaTeX:\nhttps:\/\/www.youtube.com\/watch?v=-HvRv...\nSOCIALS:\n►X\/Twitter:\nhttp:\/\/X.com\/treforbazett\n►TikTok:\nhttp:\/\/tiktok.com\/@drtrefor\n►Instagram (photography based):\nhttp:\/\/instagram.com\/treforphotography\nRead more\nFull Calculus Courses: I, II, III, IV\nCalculus I (Limits, Derivative, Integrals)  **Full Course**\nDr. Trefor Bazett\nCourse\nView full course\nCalculus II (Integration Methods, Series, Parametric\/Polar, Vectors)  **Full Course**\nDr. Trefor Bazett\nCourse\nView full course\nCalculus III: Multivariable Calculus (Vectors, Curves, Partial Derivatives, Multiple Integrals, Optimization, etc)  **Full Course **\nDr. Trefor Bazett\nCourse\nView full course\nCalculus IV: Vector Calculus (Line Integrals, Surface Integrals, Vector Fields, Greens' Thm, Divergence Thm, Stokes Thm, etc) **Full Course**\nDr. Trefor Bazett\nCourse\nView full course\nDiscrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)\nPlay all\nA one-semester course on Discrete Math taught by Dr. Trefor Bazett\nCovers: Logical Statements,  Logical Operations, Truth Tables, Sets, Functions, Relations, Proof Methods such as Contrapositive, Contradiction and Induction, and Probability.\nIntro to Discrete Math - Welcome to the Course!\nDr. Trefor Bazett\n732K views\n8 years ago\nIntro to Sets | Examples, Notation & Properties\nDr. Trefor Bazett\n323K views\n8 years ago\nSet-Roster vs Set-Builder notation\nDr. Trefor Bazett\n180K views\n8 years ago\nThe Empty Set & Vacuous Truth\nDr. Trefor Bazett\n140K views\n7 years ago\nCartesian Product of Two Sets A x B\nDr. Trefor Bazett\n218K views\n8 years ago\nRelations between two sets | Definition + First Examples\nDr. Trefor Bazett\n146K views\n8 years ago\nLinear Algebra (Full Course)\nPlay all\nA one semester, introductory course in Linear Algebra. Emphasizes both conceptual understanding and procedural fluency in applying the techniques of Linear Algebra. Major topics are solving linear systems, linear transformations, linear independence, bases, dimension, eigenvalues and eigenvectors, diagonalization, orthogonality and Gram-Schmidt\nWhat's the big idea of Linear Algebra?    **Course Intro**\nDr. Trefor Bazett\n501K views\n7 years ago\nWhat is a Solution to a Linear System? **Intro**\nDr. Trefor Bazett\n121K views\n7 years ago\nVisualizing Solutions to Linear Systems - - 2D & 3D Cases Geometrically\nDr. Trefor Bazett\n92K views\n7 years ago\nRewriting a Linear System using Matrix Notation\nDr. Trefor Bazett\n87K views\n8 years ago\nUsing Elementary Row Operations to Solve Systems of Linear Equations\nDr. Trefor Bazett\n103K views\n8 years ago\nUsing Elementary Row Operations to simplify a linear system\nDr. Trefor Bazett\n65K views\n8 years ago\nDifferential Equations Playlists\nOrdinary Differential Equations (ODEs)\nDr. Trefor Bazett\nCourse\nView full course\nLaplace Transforms and Solving ODEs\nDr. Trefor Bazett\nCourse\nView full course\nFourier Series\nDr. Trefor Bazett\nCourse\nView full course\nOur members\nThank you, channel members!\nCool Math Series\nPlay all\nThis series is just  for fun, not for one of my courses! It contains cool bits of math that are accessible to a wide audience, not just those with lots of technical sophistication.\nWhat is cos( cos( cos( cos( cos( cos( cos( cos( cos( cos( cos( cos(…?? \/\/ Banach Fixed Point Theorem\nDr. Trefor Bazett\n726K views\n4 years ago\nUntangling the beautiful math of KNOTS\nDr. Trefor Bazett\n70K views\n3 years ago\nWeird notions of \"distance\" || Intro to Metric Spaces\nDr. Trefor Bazett\n105K views\n3 years ago\nThe Beautiful Story of Non-Euclidean Geometry\nDr. Trefor Bazett\n105K views\n3 years ago\nStirling's Incredible Approximation  \/\/ Gamma Functions, Gaussians, and Laplace's Method\nDr. Trefor Bazett\n145K views\n4 years ago\nThe MATH of Pandemics | Intro to the SIR Model\nDr. Trefor Bazett\n321K views\n5 years ago\nCC\nLaTeX Tutorials\nPlay all\nLearn to write beautiful mathematics documents with LaTeX. This playlist of tutorials takes you from a complete beginner all the way up to an elite LaTeX master:D An excellent platform to learn and author LaTeX is Overleaf.com which is the sponsor for all but the first videos in this series.\nIntro to LaTeX : Learn to write beautiful math equations || Part 1\nDr. Trefor Bazett\n1.4M views\n5 years ago\nIntro to LaTeX **Full Tutorial**  Part II (Equations, Tables, Figures, Theorems, Macros and more)\nDr. Trefor Bazett\n299K views\n4 years ago\nCC\nHow to write a thesis using LaTeX  **full tutorial**\nDr. Trefor Bazett\n894K views\n4 years ago\nCC\nHow to make your LaTeX documents BEAUTIFUL \/\/ LaTeX Tutorial\nDr. Trefor Bazett\n131K views\n2 years ago\nHow to make beautiful math graphics using Tikz & LaTeX\nDr. Trefor Bazett\n201K views\n3 years ago\nCC\nHow I make beautiful GRAPHS and PLOTS using LaTeX\nDr. Trefor Bazett\n567K views\n3 years ago\nCC\nLearning Math Advice\nPlay all\nLearning how to learn mathematics effectively is crucial for success. We can't just passively watch videos online and expect to get easy As. In this playlist, I share several tips and tricks on how to be effective in your mathematics learning.\nMy STUDY ROUTINE as a Math Prof  \/\/ My top study tips\nDr. Trefor Bazett\n96K views\n5 years ago\nHow to LEARN effectively | Five evidence-based tips\nDr. Trefor Bazett\n49K views\n6 years ago\nHow to Succeed in Online Courses\nDr. Trefor Bazett\n28K views\n7 years ago\n5 Tips To Make Math Practice Problems Actually Effective\nDr. Trefor Bazett\n22K views\n7 years ago\n9 tips to help you PROVE MATH THEOREMS\nDr. Trefor Bazett\n155K views\n5 years ago\nHow to watch math videos\nDr. Trefor Bazett\n23K views\n8 years ago\nGame Theory\nPlay all\nThis series is an introduction to Game Theory. This incredibly powerful field of math has applications everywhere in economics, biology, political science and so many other places. We will start at the beginning with the basics ideas and build up to a sophisticated understanding.\nTHE PRISONER'S DILEMMA  \/\/ Intro to Game Theory  \/\/  Episode 1\nDr. Trefor Bazett\n29K views\n4 years ago\nNormal Form Games \/\/ Intro to Game Theory \/\/ Episode 2\nDr. Trefor Bazett\n18K views\n4 years ago\nHow to find DOMINATING STRATEGIES  with Game Theory\nDr. Trefor Bazett\n22K views\n4 years ago\nThe Mathematics of Trust  \/\/ How Game Theory Explains Cooperation\nDr. Trefor Bazett\n17K views\n4 years ago\nNash Equilibriums  \/\/ How to use Game Theory to render your opponents indifferent\nDr. Trefor Bazett\n19K views\n4 years ago\nThe Evolution of Cooperation \/\/ Iterated Prisoner's Dilemma\nDr. Trefor Bazett\n16K views\n4 years ago\nShorts\nVisualizing a 4D Sphere\n40K views\nStrange Attractors\n279K views\nThe best way to stack blocks\n336K views\nAn infinite block overhang?\n6.3M views\nThis pattern appears everywhere in nature \/\/ Voronoi Cells\n597K views\nThe Mobius Strip Bubble\n246K views\nPosts\nDr. Trefor Bazett\n•\n11 months ago\nWhen learning something new like a math topic, do you tend to go to YouTube first or ChatGPT first? I'd love to hear your thoughts in the comments (I'm doing a talk on AI use in math education next week, wanting some context from you all). \n\nOf course I'm sampling from people currently on YouTube who presumably follow me for my math explainers so a highly biased sample!! Still, I'm curious.\n2.8K votes\nVote now\n2.8K votes\nWatching a video explainer on YouTube\nAsking ChatGPT or other LLM\nLike\n87\nDislike\n104\nComment\nDr. Trefor Bazett\n•\n1 year ago\nLet's answer this once and for all. Math is...\n6K votes\nVote now\n6K votes\nDiscovered\nInvented\nLike\n203\nDislike\n106\nComment\nDr. Trefor Bazett\n•\n1 year ago\nWhat is your favorite math equation???\n\nThere are so many beautiful equations in math, but I'm curious what you think the most beautiful ones are? Euler's formula is often cited, combining 5 special numbers e, pi, i, 1, 0, but my next video is about another equation due to Euler that I think I like even more (channel members can watch now!).\nLike\n298\nDislike\n62\nComment\nDr. Trefor Bazett\n•\n1 year ago (edited)\nHey all, update that the company I've been working with on merch is closing down. I started working with Beautiful Equations a couple years ago, and while there are lots of merch companies out there I liked that this one was trying to really focus on promoting mathematics and so I was happy to partner with them. Anyone who ordered merch is getting\/already gotten their merch, but there isn't new sales and there will be some dead links in my video description or a while until I get them all removed - thanks for your understanding:) \n\nTo anyone who ordered something over the years, thank you! You are amazing:) It was never a significant amount of money (and honestly I did a bad job promoting it, I almost never actually mentioned it in a video) so I'm not in any particular rush to do it again with a new company, but who knows, there might be new math merch in the future:D\nLike\n322\nDislike\n7\nComment\nDr. Trefor Bazett\n•\n2 years ago\nEvery year around this time my YouTube analytics goes nuts -  I can see you all studying like crazy for your exams! So for anyone writing in December, good luck:) You got this!\nLike\n751\nDislike\n32\nComment\nDr. Trefor Bazett\n•\n3 years ago (edited)\nHappy 2023 everyone! \n\r\nI want to take a minute to share my thoughts on where this little math channel went in 2022 and where I hope it goes in 2023!\n\n2022 was my biggest year yet in analytics. 10+ million views and 100k+ additional subscribers - you are amazing! But it was mostly a big year as I changed my content strategy a lot. I used to primarily make videos intended for my online and flipped courses as a math professor, and most people would watch videos by search for a topic like \"Laplace Transform\" or whatever. However, this last year I switched to making videos about cool math topics I wanted to make for a more general audience of people interested in math. This worked out great! A few videos went \"viral\" (by my standards), and I just had a lot of fun sharing more than the standard topics from the undergrad curriculum. I also had a baby which made my video schedule pretty low the first four months, so I'm proud of how the year turned out!\n\nOk so what's up for 2023? Well, mostly more of the same. I've set myself a new years resolution of releasing one high-quality math video I'm really proud of every two weeks, so hold me to that! I mostly intend these to be interesting one-off videos or mini-series that take us into a cool journey into a math topic, but will probably slip in some more standard course videos here and there as well. I have a lot of ideas I think are really interesting and am excited to share them all with you. \n\nTo everyone who has supported me in this journey thank you. First and foremost to the members of this channel - you are amazing, truly (link:\nhttps:\/\/www.youtube.com\/channel\/UC9rT...\n. I'm a professor first, this is what consumes most of my working life. I love YouTube, I'm unbelievably passionate about YouTube, but I will always be a professor first which means that YouTube has to be squeezed in between my professional and family life. So the support of all of you whether helping me buy some much needed coffees as a member or just subscribing or sharing with your friends, you really make all the difference at having this channel be possible so thank you so much! \n\nHope your 2023 is amazing!\r\n-Trefor\nLike\n351\nDislike\n21\nComment","attrs_markdown":"#\n#\n\nBack\n\n[![]()](https:\/\/www.youtube.com\/ \"YouTube Home\")\n\nGB\n\nSkip navigation\n\nSearch\n\n[Sign in](https:\/\/accounts.google.com\/ServiceLogin?service=youtube&uilel=3&passive=true&continue=https%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Ddesktop%26hl%3Den%26next%3Dhttps%253A%252F%252Fwww.youtube.com%252Fc%252Fdrtreforbazett&hl=en&ec=65620)\n\n[![]()](https:\/\/www.youtube.com\/ \"YouTube Home\")\n\nGB\n\n[Home Home](https:\/\/www.youtube.com\/ \"Home\")\n\n[Shorts Shorts](https:\/\/www.youtube.com\/shorts\/ \"Shorts\")\n\n[Subscriptions Subscriptions](https:\/\/www.youtube.com\/feed\/subscriptions \"Subscriptions\")\n\n[You You](https:\/\/www.youtube.com\/feed\/you \"You\")\n\n![](https:\/\/yt3.googleusercontent.com\/DZCDxrJ48uiICojdwkzsbVeDtKfpxWCioRii9G03prhNIfxPOCy_kzLO7OiNGYjzFZQusSzh0A=w1060-fcrop64=1,00005a57ffffa5a8-k-c0xffffffff-no-nd-rj)\n\n![](https:\/\/yt3.googleusercontent.com\/ytc\/AIdro_lAOi_1eAO-NKrsecIaYKpj05qQlLen6MFoxZv0kp-NWw=s160-c-k-c0x00ffffff-no-rj)\n\n# Dr. Trefor Bazett\n@DrTrefor\n\n•\n\n579K subscribers•614 videos\n\nThis channel is about helping you learn math. I've got full playlists for Discrete Math, Linear Algebra, Calculus I-IV and Differential equations, as well as many more videos on cool math topics or about learning effectively.\n\n...more\n\nThis channel is about helping you learn math. I've got full playlists for Discrete Math, Linear Algebra, Calculus I-IV and Differential equations, as well as many more videos on cool math topics or about learning effectively.\n\n...more\n\n...more\n\n[patreon.com\/DrTrefor](https:\/\/www.youtube.com\/redirect?event=channel_header&redir_token=QUFFLUhqbDRzYVNzYWlwSVpZa194R2M0Z1dCSGkxSGI2d3xBQ3Jtc0tsY21mTDRuUWFKT1V1WmZqZkFGOGtGa0FxNFRzcVFwTjR1aFp1Nk5iWkJCcnJrRWJFT0FxU0JKbG9LRUlzZV9IT0U3Qy0wV19FWkItQlVnck50bXN0cTZ2UjZRYXBKTjVrdnZaajNZM21xQnY4LWhKRQ&q=https%3A%2F%2Fpatreon.com%2FDrTrefor)[and 3 more links]()\n\nSubscribe\n\nJoin\n\n[Visit Community](https:\/\/www.youtube.com\/@DrTrefor\/community)\n\nHome\n\nVideos\n\nShorts\n\nCourses\n\nPlaylists\n\nPosts\n\n[What are the big ideas of Multivariable Calculus?? Full Course Intro](https:\/\/www.youtube.com\/watch?v=gsUgDpGWk-M)\n\nTap to unmute\n\n2x\n\n[![]()]()\n\nSearch\n\nInfo\n\nShopping\n\n![]()\n\n[![]()]()\n\nIf playback doesn't begin shortly, try restarting your device.\n\n•\n\nYou're signed out\n\nVideos you watch may be added to the TV's watch history and influence TV recommendations. To avoid this, cancel and sign in to YouTube on your computer.\n\nCancel\n\nConfirm\n\n![]()\n\nDr. Trefor Bazett\n\nSubscribe\n\nUnsubscribe\n\nShare\n\nInclude playlist\n\nAn error occurred while retrieving sharing information. Please try again later.\n\nWatch later\n\nShare\n\nCopy link\n\n![]()\n\n0:00\n\n0:02 \/ 16:49\n\nLive\n\n•Watch full video\n\n•\n\n•\n\n[What are the big ideas of Multivariable Calculus?? Full Course Intro](https:\/\/www.youtube.com\/watch?v=gsUgDpGWk-M&pp=0gcJCeoZAYcqIYzv)\n\n•\n\n•\n\n595,599 views 5 years ago\n\nWelcome to Calculus III: Multivariable Calculus. This playlist covers a full one semester Calc III courses. In this introduction, I do a visual overview of the big ideas we will see in this course. ►Full Multivariable Calculus Playlist: [https:\/\/www.youtube.com\/playlist?list...](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd) Topics: Visualizing multivariable functions (both surfaces and curves) Tangent lines to curves Curvature and the Frenet Frame Multivariable Limits Partial Derivatives, Directional Derivatives, and Tangent planes Optimization and Lagrange Multipliers Volume under a Surface Spherical Coordinates And much more!! ♡♡♡SUPPORT THE CHANNEL♡♡♡ ►Support on PATREON: [https:\/\/patreon.com\/DrTrefor](https:\/\/www.youtube.com\/redirect?event=video_description&redir_token=QUFFLUhqbTdYOTUxUVk3R25vTHZyLUtIRmk2dm11bndhd3xBQ3Jtc0trTnF1cDNpTjFJcDJJNWdVdUFLekZIeC05ZHNXREVmblZvRFRyTG5OUjBlWlAyQlhqejlOdHdzaWI4aGZ2R2hwTkMweWFLZEVDN0NvTU1CTjlSdkxSbUt4b1BYZ0pVcEU3MGl3cnA3SFNrZ0dpWXBPSQ&q=https%3A%2F%2Fpatreon.com%2FDrTrefor) ►MATH BOOKS I LOVE (affiliate link): [https:\/\/www.amazon.com\/shop\/treforbazett](https:\/\/www.youtube.com\/redirect?event=video_description&redir_token=QUFFLUhqbENKM2hrdUdPS25HM3Z4SVZxTnE4dTVjNmZUZ3xBQ3Jtc0ttMUw0MS1yNHpUU2RyVnY3b1U3aHVIaFgxV3V0ZFk1OThWRzNGc1JtSEI1SWh4aDZPQkZhcVNsdGdxNHhuaDRnU2duM2U3UHRUT3JldHBBaHRFT1cxNFFSVUs4OWNPNmgteU1GQWp2UEdOSXQ4ZHFXbw&q=https%3A%2F%2Fwww.amazon.com%2Fshop%2Ftreforbazett) ►CURIOSITY BOX: [https:\/\/www.CuriosityBox.com\/DrTrefor](https:\/\/www.youtube.com\/redirect?event=video_description&redir_token=QUFFLUhqblZISFlodHdkeVE4NTVDbmxETVFfUmpGOHdqd3xBQ3Jtc0trQzU0RDlPZENVVUs4d0ZpZWNlLU45N0tVRnIxQlNlYThFSTFzX3c0aEtfWDVnRUU1SDI0aXlfUWFTVDBCdlJLd09CUl9CQW0wck5NUHI0QUxKQWFKNXYwUVA3WlNyajEzTDNxSXBtck9hNWMzMzVqWQ&q=https%3A%2F%2Fwww.CuriosityBox.com%2FDrTrefor) use CODE drtrefor for 25% off awesome STEM merch boxes COURSE PLAYLISTS: ►DISCRETE MATH: [https:\/\/www.youtube.com\/playlist?list...](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS) ►LINEAR ALGEBRA: [https:\/\/www.youtube.com\/playlist?list...](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6) ►CALCULUS I: [https:\/\/www.youtube.com\/playlist?list...](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m) ►CALCULUS II: [https:\/\/www.youtube.com\/playlist?list...](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n) ►MULTIVARIABLE CALCULUS (Calc III): [https:\/\/www.youtube.com\/playlist?list...](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd) ►VECTOR CALCULUS (Calc IV): [https:\/\/www.youtube.com\/playlist?list...](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxfW0GMqeUE1bLKaYor6kbHa) ►DIFFERENTIAL EQUATIONS: [https:\/\/www.youtube.com\/playlist?list...](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw) ►LAPLACE TRANSFORM: [https:\/\/www.youtube.com\/playlist?list...](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1) ►GAME THEORY: [https:\/\/www.youtube.com\/playlist?list...](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxdzD8KpTHz6_gsw9pPxRFlX) OTHER PLAYLISTS: ►Cool Math Series: [https:\/\/www.youtube.com\/playlist?list...](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho) ►Learning Math Series: [https:\/\/www.youtube.com\/watch?v=LPH2l...](https:\/\/www.youtube.com\/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw&index=1) ►LaTeX: [https:\/\/www.youtube.com\/watch?v=-HvRv...](https:\/\/www.youtube.com\/watch?v=-HvRvBjBAvg&list=PLHXZ9OQGMqxcWWkx2DMnQmj5os2X5ZR73&index=2) SOCIALS: ►X\/Twitter: [http:\/\/X.com\/treforbazett](https:\/\/www.youtube.com\/redirect?event=video_description&redir_token=QUFFLUhqblJMSzVkQ3BuWDJXTDBPRUpvT1AzaXlMakJZd3xBQ3Jtc0tuNWlaYmp4NE9aOC1jNkduVXVNalVKQnFSUWE0c2YwWm0ybXI2SWRhM01PVXpZVEtWa2t5WTl1cDZxcjdfZVhncE8yVG9tcmt0anktMWtLbHpRM2s2UFZQMU5meG1HZmFWWTNyQTZuUWpXeXg5LWVjQQ&q=http%3A%2F%2FX.com%2Ftreforbazett) ►TikTok: 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Logic, Proofs, Probability, Graph Theory, etc)](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS)    [Play all](https:\/\/www.youtube.com\/watch?v=rdXw7Ps9vxc&list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS)\nA one-semester course on Discrete Math taught by Dr. Trefor Bazett Covers: Logical Statements, Logical Operations, Truth Tables, Sets, Functions, Relations, Proof Methods such as Contrapositive, Contradiction and Induction, and Probability.\n\n[![true](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 5:59 5:59 Now playing](https:\/\/www.youtube.com\/watch?v=rdXw7Ps9vxc)\n\n[![]()]()\n\n### [Intro to Discrete Math - Welcome to the Course\\!](https:\/\/www.youtube.com\/watch?v=rdXw7Ps9vxc \"Intro to Discrete Math - Welcome to the Course!\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\nDr. Trefor Bazett\n\n732K views8 years ago\n\n[![true](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 7:12 7:12 Now playing](https:\/\/www.youtube.com\/watch?v=B1v2-nGXNzs)\n\n[![]()]()\n\n### [Intro to Sets \\| Examples, Notation & Properties](https:\/\/www.youtube.com\/watch?v=B1v2-nGXNzs \"Intro to Sets | Examples, Notation & Properties\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\nDr. Trefor Bazett\n\n323K views8 years ago\n\n[![true](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 5:15 5:15 Now playing](https:\/\/www.youtube.com\/watch?v=aTlR03t1dTQ)\n\n[![]()]()\n\n### [Set-Roster vs Set-Builder notation](https:\/\/www.youtube.com\/watch?v=aTlR03t1dTQ \"Set-Roster vs Set-Builder notation\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\nDr. Trefor Bazett\n\n180K views8 years ago\n\n[![true](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 4:07 4:07 Now playing](https:\/\/www.youtube.com\/watch?v=GqvX4Fi0jbM)\n\n[![]()]()\n\n### [The Empty Set & Vacuous Truth](https:\/\/www.youtube.com\/watch?v=GqvX4Fi0jbM \"The Empty Set & Vacuous Truth\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\nDr. Trefor Bazett\n\n140K views7 years ago\n\n[![true](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 7:10 7:10 Now playing](https:\/\/www.youtube.com\/watch?v=ufjEv-5nmcA)\n\n[![]()]()\n\n### [Cartesian Product of Two Sets A x B](https:\/\/www.youtube.com\/watch?v=ufjEv-5nmcA \"Cartesian Product of Two Sets A x B\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\nDr. Trefor Bazett\n\n218K views8 years ago\n\n[![true]() 6:39 6:39 Now playing](https:\/\/www.youtube.com\/watch?v=0dzNlrNJYdc)\n\n[![]()]()\n\n### [Relations between two sets \\| Definition + First Examples](https:\/\/www.youtube.com\/watch?v=0dzNlrNJYdc \"Relations between two sets | Definition + First Examples\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\nDr. Trefor Bazett\n\n146K views8 years ago\n\n## [![]()](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6 \"Linear Algebra (Full Course)\") [Linear Algebra (Full Course)](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6)    [Play all](https:\/\/www.youtube.com\/watch?v=ZKUqtErZCiU&list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6)\nA one semester, introductory course in Linear Algebra. Emphasizes both conceptual understanding and procedural fluency in applying the techniques of Linear Algebra. Major topics are solving linear systems, linear transformations, linear independence, bases, dimension, eigenvalues and eigenvectors, diagonalization, orthogonality and Gram-Schmidt\n\n[![true](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 12:58 12:58 Now playing](https:\/\/www.youtube.com\/watch?v=ZKUqtErZCiU)\n\n[![]()]()\n\n### [What's the big idea of Linear Algebra? \\*\\*Course Intro\\*\\*](https:\/\/www.youtube.com\/watch?v=ZKUqtErZCiU \"What's the big idea of Linear Algebra?    **Course Intro**\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\nDr. Trefor Bazett\n\n501K views7 years ago\n\n[![true](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 5:28 5:28 Now playing](https:\/\/www.youtube.com\/watch?v=H8MiZMJr1kQ)\n\n[![]()]()\n\n### [What is a Solution to a Linear System? \\*\\*Intro\\*\\*](https:\/\/www.youtube.com\/watch?v=H8MiZMJr1kQ \"What is a Solution to a Linear System? **Intro**\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\nDr. Trefor Bazett\n\n121K views7 years ago\n\n[![true](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 8:19 8:19 Now playing](https:\/\/www.youtube.com\/watch?v=qKyturOAD60)\n\n[![]()]()\n\n### [Visualizing Solutions to Linear Systems - - 2D & 3D Cases Geometrically](https:\/\/www.youtube.com\/watch?v=qKyturOAD60 \"Visualizing Solutions to Linear Systems - - 2D & 3D Cases Geometrically\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\nDr. Trefor Bazett\n\n92K views7 years ago\n\n[![true](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 3:10 3:10 Now playing](https:\/\/www.youtube.com\/watch?v=ghSkNXB08ds)\n\n[![]()]()\n\n### [Rewriting a Linear System using Matrix Notation](https:\/\/www.youtube.com\/watch?v=ghSkNXB08ds \"Rewriting a Linear System using Matrix Notation\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\nDr. Trefor Bazett\n\n87K views8 years ago\n\n[![true](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 7:27 7:27 Now playing](https:\/\/www.youtube.com\/watch?v=MbmZk-x2FFs&pp=0gcJCYcKAYcqIYzv)\n\n[![]()]()\n\n### [Using Elementary Row Operations to Solve Systems of Linear Equations](https:\/\/www.youtube.com\/watch?v=MbmZk-x2FFs&pp=0gcJCYcKAYcqIYzv \"Using Elementary Row Operations to Solve Systems of Linear Equations\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\nDr. Trefor Bazett\n\n103K views8 years ago\n\n[![true]() 9:35 9:35 Now playing](https:\/\/www.youtube.com\/watch?v=B7XtnvNwEPA)\n\n[![]()]()\n\n### [Using Elementary Row Operations to simplify a linear system](https:\/\/www.youtube.com\/watch?v=B7XtnvNwEPA \"Using Elementary Row Operations to simplify a linear system\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\nDr. Trefor Bazett\n\n65K views8 years ago\n\n## [![]()](\"Differential Equations Playlists\") [Differential Equations Playlists](https:\/\/www.youtube.com\/c\/drtreforbazett)\n[![](https:\/\/i.ytimg.com\/vi\/B5IjsTONKkw\/hqdefault.jpg?sqp=-oaymwEXCOADEI4CSFryq4qpAwkIARUAAIhCGAE=&rs=AOn4CLB3yquL0GNMhtgbZcG-_AEmbwBQHA) 25 lessons](https:\/\/www.youtube.com\/watch?v=B5IjsTONKkw&list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw)\n\n### [Ordinary Differential Equations (ODEs)](https:\/\/www.youtube.com\/watch?v=B5IjsTONKkw&list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw)\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n• [Course](https:\/\/www.youtube.com\/@DrTrefor)\n\n[View full course](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw)\n\n[![](https:\/\/i.ytimg.com\/vi\/KqokoYr_h1A\/hqdefault.jpg?sqp=-oaymwEXCOADEI4CSFryq4qpAwkIARUAAIhCGAE=&rs=AOn4CLC6N9SRKjheeCfpIgqkrPT8G0zXhA) 12 lessons](https:\/\/www.youtube.com\/watch?v=KqokoYr_h1A&list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1)\n\n### [Laplace Transforms and Solving ODEs](https:\/\/www.youtube.com\/watch?v=KqokoYr_h1A&list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1)\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n• [Course](https:\/\/www.youtube.com\/@DrTrefor)\n\n[View full course](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1)\n\n[![](https:\/\/i.ytimg.com\/vi\/wmCIrpLBFds\/hqdefault.jpg?sqp=-oaymwEXCOADEI4CSFryq4qpAwkIARUAAIhCGAE=&rs=AOn4CLCz_CnAlcUE9zNjTGELkvdbVmOEag) 5 lessons](https:\/\/www.youtube.com\/watch?v=wmCIrpLBFds&list=PLHXZ9OQGMqxdhXcPyNciLdpvfmAjS82hR)\n\n### [Fourier Series](https:\/\/www.youtube.com\/watch?v=wmCIrpLBFds&list=PLHXZ9OQGMqxdhXcPyNciLdpvfmAjS82hR)\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n• [Course](https:\/\/www.youtube.com\/@DrTrefor)\n\n[View full course](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxdhXcPyNciLdpvfmAjS82hR)\n\nOur members\n\nThank you, channel members\\!\n\n![](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=)\n\n![](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=)\n\n![](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=)\n\n![](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=)\n\n![](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=)\n\n![](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=)\n\n![](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=)\n\n![](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=)\n\nJoin\n\n## [![]()](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho \"Cool Math Series\") [Cool Math Series](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho)    [Play all](https:\/\/www.youtube.com\/watch?v=qHnXE_h5c2M&list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho)\nThis series is just for fun, not for one of my courses! It contains cool bits of math that are accessible to a wide audience, not just those with lots of technical sophistication.\n\n[![true](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 9:11 9:11 Now playing](https:\/\/www.youtube.com\/watch?v=qHnXE_h5c2M)\n\n[![]()]()\n\n### [What is cos( cos( cos( cos( cos( cos( cos( cos( cos( cos( cos( cos(…?? \/\/ Banach Fixed Point Theorem](https:\/\/www.youtube.com\/watch?v=qHnXE_h5c2M \"What is cos( cos( cos( cos( cos( cos( cos( cos( cos( cos( cos( cos(…?? \/\/ Banach Fixed Point Theorem\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\nDr. Trefor Bazett\n\n726K views4 years ago\n\n[![true](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 17:09 17:09 Now playing](https:\/\/www.youtube.com\/watch?v=pSgf9mJXn9o)\n\n[![]()]()\n\n### [Untangling the beautiful math of KNOTS](https:\/\/www.youtube.com\/watch?v=pSgf9mJXn9o \"Untangling the beautiful math of KNOTS\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\nDr. Trefor Bazett\n\n70K views3 years ago\n\n[![true](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 12:31 12:31 Now playing](https:\/\/www.youtube.com\/watch?v=fl5fOAYY-1s)\n\n[![]()]()\n\n### [Weird notions of \"distance\" \\|\\| Intro to Metric Spaces](https:\/\/www.youtube.com\/watch?v=fl5fOAYY-1s \"Weird notions of \\\"distance\\\" || Intro to Metric Spaces\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\nDr. Trefor Bazett\n\n105K views3 years ago\n\n[![true](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 15:28 15:28 Now playing](https:\/\/www.youtube.com\/watch?v=yoGJKW2CjVA)\n\n[![]()]()\n\n### [The Beautiful Story of Non-Euclidean Geometry](https:\/\/www.youtube.com\/watch?v=yoGJKW2CjVA \"The Beautiful Story of Non-Euclidean Geometry\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\nDr. Trefor Bazett\n\n105K views3 years ago\n\n[![true](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 13:00 13:00 Now playing](https:\/\/www.youtube.com\/watch?v=JsUI40uSOTU)\n\n[![]()]()\n\n### [Stirling's Incredible Approximation \/\/ Gamma Functions, Gaussians, and Laplace's Method](https:\/\/www.youtube.com\/watch?v=JsUI40uSOTU \"Stirling's Incredible Approximation  \/\/ Gamma Functions, Gaussians, and Laplace's Method\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\nDr. Trefor Bazett\n\n145K views4 years ago\n\n[![true]() 15:35 15:35 Now playing](https:\/\/www.youtube.com\/watch?v=Qrp40ck3WpI)\n\n[![]()]()\n\n### [The MATH of Pandemics \\| Intro to the SIR Model](https:\/\/www.youtube.com\/watch?v=Qrp40ck3WpI \"The MATH of Pandemics | Intro to the SIR Model\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\nDr. Trefor Bazett\n\n321K views5 years ago\n\nCC\n\n## [![]()](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxcWWkx2DMnQmj5os2X5ZR73 \"LaTeX Tutorials\") [LaTeX Tutorials](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxcWWkx2DMnQmj5os2X5ZR73)    [Play all](https:\/\/www.youtube.com\/watch?v=Jp0lPj2-DQA&list=PLHXZ9OQGMqxcWWkx2DMnQmj5os2X5ZR73)\nLearn to write beautiful mathematics documents with LaTeX. This playlist of tutorials takes you from a complete beginner all the way up to an elite LaTeX master:D An excellent platform to learn and author LaTeX is Overleaf.com which is the sponsor for all but the first videos in this series.\n\n[![true](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 19:09 19:09 Now playing](https:\/\/www.youtube.com\/watch?v=Jp0lPj2-DQA)\n\n[![]()]()\n\n### [Intro to LaTeX : Learn to write beautiful math equations \\|\\| Part 1](https:\/\/www.youtube.com\/watch?v=Jp0lPj2-DQA \"Intro to LaTeX : Learn to write beautiful math equations || Part 1\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\nDr. Trefor Bazett\n\n1\\.4M views5 years ago\n\n[![true](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 30:35 30:35 Now playing](https:\/\/www.youtube.com\/watch?v=-HvRvBjBAvg)\n\n[![]()]()\n\n### [Intro to LaTeX \\*\\*Full Tutorial\\*\\* Part II (Equations, Tables, Figures, Theorems, Macros and more)](https:\/\/www.youtube.com\/watch?v=-HvRvBjBAvg \"Intro to LaTeX **Full Tutorial**  Part II (Equations, Tables, Figures, Theorems, Macros and more)\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\nDr. Trefor Bazett\n\n299K views4 years ago\n\nCC\n\n[![true](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 30:58 30:58 Now playing](https:\/\/www.youtube.com\/watch?v=zqQM66uAig0)\n\n[![]()]()\n\n### [How to write a thesis using LaTeX \\*\\*full tutorial\\*\\*](https:\/\/www.youtube.com\/watch?v=zqQM66uAig0 \"How to write a thesis using LaTeX  **full tutorial**\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\nDr. Trefor Bazett\n\n894K views4 years ago\n\nCC\n\n[![true](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 17:10 17:10 Now playing](https:\/\/www.youtube.com\/watch?v=7B7ytLrMTa0)\n\n[![]()]()\n\n### [How to make your LaTeX documents BEAUTIFUL \/\/ LaTeX Tutorial](https:\/\/www.youtube.com\/watch?v=7B7ytLrMTa0 \"How to make your LaTeX documents BEAUTIFUL \/\/ LaTeX Tutorial\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\nDr. Trefor Bazett\n\n131K views2 years ago\n\n[![true](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 24:16 24:16 Now playing](https:\/\/www.youtube.com\/watch?v=bQugbYq0BVA)\n\n[![]()]()\n\n### [How to make beautiful math graphics using Tikz & LaTeX](https:\/\/www.youtube.com\/watch?v=bQugbYq0BVA \"How to make beautiful math graphics using Tikz & LaTeX\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\nDr. Trefor Bazett\n\n201K views3 years ago\n\nCC\n\n[![true]() 28:46 28:46 Now playing](https:\/\/www.youtube.com\/watch?v=5jmIHOWpEg0&pp=0gcJCYcKAYcqIYzv)\n\n[![]()]()\n\n### [How I make beautiful GRAPHS and PLOTS using LaTeX](https:\/\/www.youtube.com\/watch?v=5jmIHOWpEg0&pp=0gcJCYcKAYcqIYzv \"How I make beautiful GRAPHS and PLOTS using LaTeX\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\nDr. Trefor Bazett\n\n567K views3 years ago\n\nCC\n\n## [![]()](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw \"Learning Math Advice\") [Learning Math Advice](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw)    [Play all](https:\/\/www.youtube.com\/watch?v=aLPhBVkhE6I&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw&pp=0gcJCS8EgXWwhyeT)\nLearning how to learn mathematics effectively is crucial for success. We can't just passively watch videos online and expect to get easy As. In this playlist, I share several tips and tricks on how to be effective in your mathematics learning.\n\n[![true](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 12:52 12:52 Now playing](https:\/\/www.youtube.com\/watch?v=aLPhBVkhE6I&pp=0gcJCYcKAYcqIYzv)\n\n[![]()]()\n\n### [My STUDY ROUTINE as a Math Prof \/\/ My top study tips](https:\/\/www.youtube.com\/watch?v=aLPhBVkhE6I&pp=0gcJCYcKAYcqIYzv \"My STUDY ROUTINE as a Math Prof  \/\/ My top study tips\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\nDr. Trefor Bazett\n\n96K views5 years ago\n\n[![true](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 12:57 12:57 Now playing](https:\/\/www.youtube.com\/watch?v=uytSwU3DJQY)\n\n[![]()]()\n\n### [How to LEARN effectively \\| Five evidence-based tips](https:\/\/www.youtube.com\/watch?v=uytSwU3DJQY \"How to LEARN effectively | Five evidence-based tips\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\nDr. Trefor Bazett\n\n49K views6 years ago\n\n[![true](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 8:03 8:03 Now playing](https:\/\/www.youtube.com\/watch?v=B5kJ2XH3V0M)\n\n[![]()]()\n\n### [How to Succeed in Online Courses](https:\/\/www.youtube.com\/watch?v=B5kJ2XH3V0M \"How to Succeed in Online Courses\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\nDr. Trefor Bazett\n\n28K views7 years ago\n\n[![true](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 6:36 6:36 Now playing](https:\/\/www.youtube.com\/watch?v=LPH2lqis3D0)\n\n[![]()]()\n\n### [5 Tips To Make Math Practice Problems Actually Effective](https:\/\/www.youtube.com\/watch?v=LPH2lqis3D0 \"5 Tips To Make Math Practice Problems Actually Effective\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\nDr. Trefor Bazett\n\n22K views7 years ago\n\n[![true](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 15:07 15:07 Now playing](https:\/\/www.youtube.com\/watch?v=-6b-tQEBUT8)\n\n[![]()]()\n\n### [9 tips to help you PROVE MATH THEOREMS](https:\/\/www.youtube.com\/watch?v=-6b-tQEBUT8 \"9 tips to help you PROVE MATH THEOREMS\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\nDr. Trefor Bazett\n\n155K views5 years ago\n\n[![true]() 9:10 9:10 Now playing](https:\/\/www.youtube.com\/watch?v=Ljq5y3ksk8o)\n\n[![]()]()\n\n### [How to watch math videos](https:\/\/www.youtube.com\/watch?v=Ljq5y3ksk8o \"How to watch math videos\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\nDr. Trefor Bazett\n\n23K views8 years ago\n\n## [![]()](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxdzD8KpTHz6_gsw9pPxRFlX \"Game Theory\") [Game Theory](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxdzD8KpTHz6_gsw9pPxRFlX)    [Play all](https:\/\/www.youtube.com\/watch?v=qSDyvqxGWGc&list=PLHXZ9OQGMqxdzD8KpTHz6_gsw9pPxRFlX)\nThis series is an introduction to Game Theory. This incredibly powerful field of math has applications everywhere in economics, biology, political science and so many other places. We will start at the beginning with the basics ideas and build up to a sophisticated understanding.\n\n[![true](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 10:45 10:45 Now playing](https:\/\/www.youtube.com\/watch?v=qSDyvqxGWGc)\n\n[![]()]()\n\n### [THE PRISONER'S DILEMMA \/\/ Intro to Game Theory \/\/ Episode 1](https:\/\/www.youtube.com\/watch?v=qSDyvqxGWGc \"THE PRISONER'S DILEMMA  \/\/ Intro to Game Theory  \/\/  Episode 1\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\nDr. Trefor Bazett\n\n29K views4 years ago\n\n[![true](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 13:07 13:07 Now playing](https:\/\/www.youtube.com\/watch?v=TVlf43FmuPY)\n\n[![]()]()\n\n### [Normal Form Games \/\/ Intro to Game Theory \/\/ Episode 2](https:\/\/www.youtube.com\/watch?v=TVlf43FmuPY \"Normal Form Games \/\/ Intro to Game Theory \/\/ Episode 2\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\nDr. Trefor Bazett\n\n18K views4 years ago\n\n[![true](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 14:19 14:19 Now playing](https:\/\/www.youtube.com\/watch?v=d7J8XLGFQyQ)\n\n[![]()]()\n\n### [How to find DOMINATING STRATEGIES with Game Theory](https:\/\/www.youtube.com\/watch?v=d7J8XLGFQyQ \"How to find DOMINATING STRATEGIES  with Game Theory\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\nDr. Trefor Bazett\n\n22K views4 years ago\n\n[![true](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 12:33 12:33 Now playing](https:\/\/www.youtube.com\/watch?v=u6-DdyN30cA)\n\n[![]()]()\n\n### [The Mathematics of Trust \/\/ How Game Theory Explains Cooperation](https:\/\/www.youtube.com\/watch?v=u6-DdyN30cA \"The Mathematics of Trust  \/\/ How Game Theory Explains Cooperation\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\nDr. Trefor Bazett\n\n17K views4 years ago\n\n[![true](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 16:35 16:35 Now playing](https:\/\/www.youtube.com\/watch?v=0AOLtbsJ-Go)\n\n[![]()]()\n\n### [Nash Equilibriums \/\/ How to use Game Theory to render your opponents indifferent](https:\/\/www.youtube.com\/watch?v=0AOLtbsJ-Go \"Nash Equilibriums  \/\/ How to use Game Theory to render your opponents indifferent\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\nDr. Trefor Bazett\n\n19K views4 years ago\n\n[![true]() 20:18 20:18 Now playing](https:\/\/www.youtube.com\/watch?v=Ur3Vf_ibHD0)\n\n[![]()]()\n\n### [The Evolution of Cooperation \/\/ Iterated Prisoner's Dilemma](https:\/\/www.youtube.com\/watch?v=Ur3Vf_ibHD0 \"The Evolution of Cooperation \/\/ Iterated Prisoner's Dilemma\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\nDr. Trefor Bazett\n\n16K views4 years ago\n\n![]()\n\n## Shorts\n\n[![](https:\/\/i.ytimg.com\/vi\/Exl1WQ8sGkg\/oar2.jpg?sqp=-oaymwEkCJUDENAFSFqQAgHyq4qpAxMIARUAAAAAJQAAyEI9AICiQ3gB&rs=AOn4CLCK7TrmQQ0sTF9WgKhGFCCQVumOog&usqp=CCk)](https:\/\/www.youtube.com\/shorts\/Exl1WQ8sGkg)\n\n### [Visualizing a 4D Sphere](https:\/\/www.youtube.com\/shorts\/Exl1WQ8sGkg \"Visualizing a 4D Sphere\")\n40K views\n\n[![](https:\/\/i.ytimg.com\/vi\/rPjPjKPnk1c\/oar2.jpg?sqp=-oaymwEkCJUDENAFSFqQAgHyq4qpAxMIARUAAAAAJQAAyEI9AICiQ3gB&rs=AOn4CLDmEyZaaAnkCBJU1_DflO2wBqIpkQ&usqp=CCk)](https:\/\/www.youtube.com\/shorts\/rPjPjKPnk1c)\n\n### [Strange Attractors](https:\/\/www.youtube.com\/shorts\/rPjPjKPnk1c \"Strange Attractors\")\n279K views\n\n[![](https:\/\/i.ytimg.com\/vi\/FYgrDtFyNt4\/oardefault.jpg?usqp=CCk)](https:\/\/www.youtube.com\/shorts\/FYgrDtFyNt4)\n\n### [The best way to stack blocks](https:\/\/www.youtube.com\/shorts\/FYgrDtFyNt4 \"The best way to stack blocks\")\n336K views\n\n[![](https:\/\/i.ytimg.com\/vi\/HlXM4cNJsxc\/oardefault.jpg?usqp=CCk)](https:\/\/www.youtube.com\/shorts\/HlXM4cNJsxc)\n\n### [An infinite block overhang?](https:\/\/www.youtube.com\/shorts\/HlXM4cNJsxc \"An infinite block overhang?\")\n6\\.3M views\n\n[![](https:\/\/i.ytimg.com\/vi\/RyVpm6DQJYc\/oardefault.jpg?usqp=CCk)](https:\/\/www.youtube.com\/shorts\/RyVpm6DQJYc)\n\n### [This pattern appears everywhere in nature \/\/ Voronoi Cells](https:\/\/www.youtube.com\/shorts\/RyVpm6DQJYc \"This pattern appears everywhere in nature \/\/ Voronoi Cells\")\n597K views\n\n[![]()](https:\/\/www.youtube.com\/shorts\/0pWW0maO3jA)\n\n### [The Mobius Strip Bubble](https:\/\/www.youtube.com\/shorts\/0pWW0maO3jA \"The Mobius Strip Bubble\")\n246K views\n\n## [![]()](https:\/\/www.youtube.com\/channel\/UC9rTsvTxJnx1DNrDA3Rqa6A\/posts \"Posts\") [Posts](https:\/\/www.youtube.com\/channel\/UC9rTsvTxJnx1DNrDA3Rqa6A\/posts)\n[![Dr. Trefor Bazett](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=)](https:\/\/www.youtube.com\/@DrTrefor)\n\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n•\n\n[11 months ago](https:\/\/www.youtube.com\/post\/UgkxICVPG8hdPxE9RyJOefQPfmRjH6kbxZHu)\n\nWhen learning something new like a math topic, do you tend to go to YouTube first or ChatGPT first? I'd love to hear your thoughts in the comments (I'm doing a talk on AI use in math education next week, wanting some context from you all). Of course I'm sampling from people currently on YouTube who presumably follow me for my math explainers so a highly biased sample!! Still, I'm curious.\n\nWhen learning something new like a math topic, do you tend to go to YouTube first or ChatGPT first? I'd love to hear your thoughts in the comments (I'm doing a talk on AI use in math education next week, wanting some context from you all). Of course I'm sampling from people currently on YouTube who presumably follow me for my math explainers so a highly biased sample!! Still, I'm curious.\n\n2\\.8K votes\n\n[Vote now](https:\/\/www.youtube.com\/post\/UgkxICVPG8hdPxE9RyJOefQPfmRjH6kbxZHu)\n\n2\\.8K votes\n\n[Watching a video explainer on YouTube](https:\/\/accounts.google.com\/ServiceLogin?service=youtube&uilel=3&passive=true&continue=https%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Ddesktop%26hl%3Den%26next%3D%252Fchannel%252FUC9rTsvTxJnx1DNrDA3Rqa6A%252Fposts&hl=en)\n\n[Asking ChatGPT or other LLM](https:\/\/accounts.google.com\/ServiceLogin?service=youtube&uilel=3&passive=true&continue=https%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Ddesktop%26hl%3Den%26next%3D%252Fchannel%252FUC9rTsvTxJnx1DNrDA3Rqa6A%252Fposts&hl=en)\n\n87\n\nLike\n\n87\n\nDislike\n\nShare\n\n[104](https:\/\/accounts.google.com\/ServiceLogin?service=youtube&uilel=3&passive=true&continue=https%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Ddesktop%26hl%3Den%26next%3D%252Fpost%252FUgkxICVPG8hdPxE9RyJOefQPfmRjH6kbxZHu&hl=en)\n\nComment\n\n[![Dr. Trefor Bazett](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=)](https:\/\/www.youtube.com\/@DrTrefor)\n\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n•\n\n[1 year ago](https:\/\/www.youtube.com\/post\/Ugkx4NJbcmZDbgMja2kgXSY3DHrDjQWRAPiL)\n\nLet's answer this once and for all. Math is...\n\nLet's answer this once and for all. Math is...\n\n6K votes\n\n[Vote now](https:\/\/www.youtube.com\/post\/Ugkx4NJbcmZDbgMja2kgXSY3DHrDjQWRAPiL)\n\n6K votes\n\n[Discovered](https:\/\/accounts.google.com\/ServiceLogin?service=youtube&uilel=3&passive=true&continue=https%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Ddesktop%26hl%3Den%26next%3D%252Fchannel%252FUC9rTsvTxJnx1DNrDA3Rqa6A%252Fposts&hl=en)\n\n[Invented](https:\/\/accounts.google.com\/ServiceLogin?service=youtube&uilel=3&passive=true&continue=https%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Ddesktop%26hl%3Den%26next%3D%252Fchannel%252FUC9rTsvTxJnx1DNrDA3Rqa6A%252Fposts&hl=en)\n\n203\n\nLike\n\n203\n\nDislike\n\nShare\n\n[106](https:\/\/accounts.google.com\/ServiceLogin?service=youtube&uilel=3&passive=true&continue=https%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Ddesktop%26hl%3Den%26next%3D%252Fpost%252FUgkx4NJbcmZDbgMja2kgXSY3DHrDjQWRAPiL&hl=en)\n\nComment\n\n[![]()](https:\/\/www.youtube.com\/@DrTrefor)\n\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n•\n\n[1 year ago](https:\/\/www.youtube.com\/post\/UgkxXrc6KWyOuGSKpfjyznld75wP-GeKtPJz)\n\nWhat is your favorite math equation??? There are so many beautiful equations in math, but I'm curious what you think the most beautiful ones are? Euler's formula is often cited, combining 5 special numbers e, pi, i, 1, 0, but my next video is about another equation due to Euler that I think I like even more (channel members can watch now!).\n\nWhat is your favorite math equation??? There are so many beautiful equations in math, but I'm curious what you think the most beautiful ones are? Euler's formula is often cited, combining 5 special numbers e, pi, i, 1, 0, but my next video is about another equation due to Euler that I think I like even more (channel members can watch now!).\n\n![]()\n\n298\n\nLike\n\n298\n\nDislike\n\nShare\n\n[62](https:\/\/accounts.google.com\/ServiceLogin?service=youtube&uilel=3&passive=true&continue=https%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Ddesktop%26hl%3Den%26next%3D%252Fpost%252FUgkxXrc6KWyOuGSKpfjyznld75wP-GeKtPJz&hl=en)\n\nComment\n\n[![]()](https:\/\/www.youtube.com\/@DrTrefor)\n\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n•\n\n[1 year ago (edited)](https:\/\/www.youtube.com\/post\/UgkxPGE40kanq2vLAjVeQF3NKYsrtbI_IkaO)\n\nHey all, update that the company I've been working with on merch is closing down. I started working with Beautiful Equations a couple years ago, and while there are lots of merch companies out there I liked that this one was trying to really focus on promoting mathematics and so I was happy to partner with them. Anyone who ordered merch is getting\/already gotten their merch, but there isn't new sales and there will be some dead links in my video description or a while until I get them all removed - thanks for your understanding:) To anyone who ordered something over the years, thank you! You are amazing:) It was never a significant amount of money (and honestly I did a bad job promoting it, I almost never actually mentioned it in a video) so I'm not in any particular rush to do it again with a new company, but who knows, there might be new math merch in the future:D\n\nHey all, update that the company I've been working with on merch is closing down. I started working with Beautiful Equations a couple years ago, and while there are lots of merch companies out there I liked that this one was trying to really focus on promoting mathematics and so I was happy to partner with them. Anyone who ordered merch is getting\/already gotten their merch, but there isn't new sales and there will be some dead links in my video description or a while until I get them all removed - thanks for your understanding:) To anyone who ordered something over the years, thank you! You are amazing:) It was never a significant amount of money (and honestly I did a bad job promoting it, I almost never actually mentioned it in a video) so I'm not in any particular rush to do it again with a new company, but who knows, there might be new math merch in the future:D\n\n322\n\nLike\n\n322\n\nDislike\n\nShare\n\n[7](https:\/\/accounts.google.com\/ServiceLogin?service=youtube&uilel=3&passive=true&continue=https%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Ddesktop%26hl%3Den%26next%3D%252Fpost%252FUgkxPGE40kanq2vLAjVeQF3NKYsrtbI_IkaO&hl=en)\n\nComment\n\n[![]()](https:\/\/www.youtube.com\/@DrTrefor)\n\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n•\n\n[2 years ago](https:\/\/www.youtube.com\/post\/Ugkx1utLKIwLm2akEaooJhNDb0zZVC_PHbPT)\n\nEvery year around this time my YouTube analytics goes nuts - I can see you all studying like crazy for your exams! So for anyone writing in December, good luck:) You got this\\!\n\nEvery year around this time my YouTube analytics goes nuts - I can see you all studying like crazy for your exams! So for anyone writing in December, good luck:) You got this\\!\n\n751\n\nLike\n\n751\n\nDislike\n\nShare\n\n[32](https:\/\/accounts.google.com\/ServiceLogin?service=youtube&uilel=3&passive=true&continue=https%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Ddesktop%26hl%3Den%26next%3D%252Fpost%252FUgkx1utLKIwLm2akEaooJhNDb0zZVC_PHbPT&hl=en)\n\nComment\n\n[![]()](https:\/\/www.youtube.com\/@DrTrefor)\n\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n•\n\n[3 years ago (edited)](https:\/\/www.youtube.com\/post\/UgkxBBJTW_SKXLFlYBijj1_6KX0Db1Hq7rMf)\n\nHappy 2023 everyone! I want to take a minute to share my thoughts on where this little math channel went in 2022 and where I hope it goes in 2023! 2022 was my biggest year yet in analytics. 10+ million views and 100k+ additional subscribers - you are amazing! But it was mostly a big year as I changed my content strategy a lot. I used to primarily make videos intended for my online and flipped courses as a math professor, and most people would watch videos by search for a topic like \"Laplace Transform\" or whatever. However, this last year I switched to making videos about cool math topics I wanted to make for a more general audience of people interested in math. This worked out great! A few videos went \"viral\" (by my standards), and I just had a lot of fun sharing more than the standard topics from the undergrad curriculum. I also had a baby which made my video schedule pretty low the first four months, so I'm proud of how the year turned out! Ok so what's up for 2023? Well, mostly more of the same. I've set myself a new years resolution of releasing one high-quality math video I'm really proud of every two weeks, so hold me to that! I mostly intend these to be interesting one-off videos or mini-series that take us into a cool journey into a math topic, but will probably slip in some more standard course videos here and there as well. I have a lot of ideas I think are really interesting and am excited to share them all with you. To everyone who has supported me in this journey thank you. First and foremost to the members of this channel - you are amazing, truly (link: [https:\/\/www.youtube.com\/channel\/UC9rT...](https:\/\/www.youtube.com\/channel\/UC9rTsvTxJnx1DNrDA3Rqa6A). I'm a professor first, this is what consumes most of my working life. I love YouTube, I'm unbelievably passionate about YouTube, but I will always be a professor first which means that YouTube has to be squeezed in between my professional and family life. So the support of all of you whether helping me buy some much needed coffees as a member or just subscribing or sharing with your friends, you really make all the difference at having this channel be possible so thank you so much! Hope your 2023 is amazing! -Trefor\n\nHappy 2023 everyone! I want to take a minute to share my thoughts on where this little math channel went in 2022 and where I hope it goes in 2023! 2022 was my biggest year yet in analytics. 10+ million views and 100k+ additional subscribers - you are amazing! But it was mostly a big year as I changed my content strategy a lot. I used to primarily make videos intended for my online and flipped courses as a math professor, and most people would watch videos by search for a topic like \"Laplace Transform\" or whatever. However, this last year I switched to making videos about cool math topics I wanted to make for a more general audience of people interested in math. This worked out great! A few videos went \"viral\" (by my standards), and I just had a lot of fun sharing more than the standard topics from the undergrad curriculum. I also had a baby which made my video schedule pretty low the first four months, so I'm proud of how the year turned out! Ok so what's up for 2023? Well, mostly more of the same. I've set myself a new years resolution of releasing one high-quality math video I'm really proud of every two weeks, so hold me to that! I mostly intend these to be interesting one-off videos or mini-series that take us into a cool journey into a math topic, but will probably slip in some more standard course videos here and there as well. I have a lot of ideas I think are really interesting and am excited to share them all with you. To everyone who has supported me in this journey thank you. First and foremost to the members of this channel - you are amazing, truly (link: [https:\/\/www.youtube.com\/channel\/UC9rT...](https:\/\/www.youtube.com\/channel\/UC9rTsvTxJnx1DNrDA3Rqa6A). I'm a professor first, this is what consumes most of my working life. I love YouTube, I'm unbelievably passionate about YouTube, but I will always be a professor first which means that YouTube has to be squeezed in between my professional and family life. So the support of all of you whether helping me buy some much needed coffees as a member or just subscribing or sharing with your friends, you really make all the difference at having this channel be possible so thank you so much! Hope your 2023 is amazing! -Trefor\n\n351\n\nLike\n\n351\n\nDislike\n\nShare\n\n[21](https:\/\/accounts.google.com\/ServiceLogin?service=youtube&uilel=3&passive=true&continue=https%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Ddesktop%26hl%3Den%26next%3D%252Fpost%252FUgkxBBJTW_SKXLFlYBijj1_6KX0Db1Hq7rMf&hl=en)\n\nComment\n\nTap to unmute\n\n2x\n\n[![]()]()\n\nYou're signed out\n\nVideos you watch may be added to the TV's watch history and influence TV recommendations. To avoid this, cancel and sign in to YouTube on your computer.\n\nCancel\n\nConfirm\n\nSearch\n\nInfo\n\nShopping\n\n![]()\n\n[![]()]()\n\nIf playback doesn't begin shortly, try restarting your device.\n\n•\n\nShare\n\nInclude playlist\n\nAn error occurred while retrieving sharing information. Please try again later.\n\nWatch later\n\nShare\n\nCopy link\n\n![]()\n\n0:00\n\n\/\n\nLive\n\n•Watch full video\n\n•\n\n•\n\n#\n#\n\n###\n###\nNaN \/ NaN","attrs_readable_markdown":"[What are the big ideas of Multivariable Calculus?? Full Course Intro](https:\/\/www.youtube.com\/watch?v=gsUgDpGWk-M)\n\n0:02 \/ 16:49\n\n•Watch full video\n\n[What are the big ideas of Multivariable Calculus?? Full Course Intro](https:\/\/www.youtube.com\/watch?v=gsUgDpGWk-M&pp=0gcJCeoZAYcqIYzv)\n\n595,599 views 5 years ago\n\nWelcome to Calculus III: Multivariable Calculus. This playlist covers a full one semester Calc III courses. In this introduction, I do a visual overview of the big ideas we will see in this course. ►Full Multivariable Calculus Playlist: [https:\/\/www.youtube.com\/playlist?list...](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd) Topics: Visualizing multivariable functions (both surfaces and curves) Tangent lines to curves Curvature and the Frenet Frame Multivariable Limits Partial Derivatives, Directional Derivatives, and Tangent planes Optimization and Lagrange Multipliers Volume under a Surface Spherical Coordinates And much more!! ♡♡♡SUPPORT THE CHANNEL♡♡♡ ►Support on PATREON: [https:\/\/patreon.com\/DrTrefor](https:\/\/www.youtube.com\/redirect?event=video_description&redir_token=QUFFLUhqbTdYOTUxUVk3R25vTHZyLUtIRmk2dm11bndhd3xBQ3Jtc0trTnF1cDNpTjFJcDJJNWdVdUFLekZIeC05ZHNXREVmblZvRFRyTG5OUjBlWlAyQlhqejlOdHdzaWI4aGZ2R2hwTkMweWFLZEVDN0NvTU1CTjlSdkxSbUt4b1BYZ0pVcEU3MGl3cnA3SFNrZ0dpWXBPSQ&q=https%3A%2F%2Fpatreon.com%2FDrTrefor) ►MATH BOOKS I LOVE (affiliate link): [https:\/\/www.amazon.com\/shop\/treforbazett](https:\/\/www.youtube.com\/redirect?event=video_description&redir_token=QUFFLUhqbENKM2hrdUdPS25HM3Z4SVZxTnE4dTVjNmZUZ3xBQ3Jtc0ttMUw0MS1yNHpUU2RyVnY3b1U3aHVIaFgxV3V0ZFk1OThWRzNGc1JtSEI1SWh4aDZPQkZhcVNsdGdxNHhuaDRnU2duM2U3UHRUT3JldHBBaHRFT1cxNFFSVUs4OWNPNmgteU1GQWp2UEdOSXQ4ZHFXbw&q=https%3A%2F%2Fwww.amazon.com%2Fshop%2Ftreforbazett) ►CURIOSITY BOX: [https:\/\/www.CuriosityBox.com\/DrTrefor](https:\/\/www.youtube.com\/redirect?event=video_description&redir_token=QUFFLUhqblZISFlodHdkeVE4NTVDbmxETVFfUmpGOHdqd3xBQ3Jtc0trQzU0RDlPZENVVUs4d0ZpZWNlLU45N0tVRnIxQlNlYThFSTFzX3c0aEtfWDVnRUU1SDI0aXlfUWFTVDBCdlJLd09CUl9CQW0wck5NUHI0QUxKQWFKNXYwUVA3WlNyajEzTDNxSXBtck9hNWMzMzVqWQ&q=https%3A%2F%2Fwww.CuriosityBox.com%2FDrTrefor) use CODE drtrefor for 25% off awesome STEM merch boxes COURSE PLAYLISTS: ►DISCRETE MATH: [https:\/\/www.youtube.com\/playlist?list...](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS) ►LINEAR ALGEBRA: [https:\/\/www.youtube.com\/playlist?list...](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6) ►CALCULUS I: [https:\/\/www.youtube.com\/playlist?list...](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m) ►CALCULUS II: [https:\/\/www.youtube.com\/playlist?list...](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n) ►MULTIVARIABLE CALCULUS (Calc III): [https:\/\/www.youtube.com\/playlist?list...](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd) ►VECTOR CALCULUS (Calc IV): [https:\/\/www.youtube.com\/playlist?list...](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxfW0GMqeUE1bLKaYor6kbHa) ►DIFFERENTIAL EQUATIONS: [https:\/\/www.youtube.com\/playlist?list...](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw) ►LAPLACE TRANSFORM: [https:\/\/www.youtube.com\/playlist?list...](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1) ►GAME THEORY: [https:\/\/www.youtube.com\/playlist?list...](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxdzD8KpTHz6_gsw9pPxRFlX) OTHER PLAYLISTS: ►Cool Math Series: [https:\/\/www.youtube.com\/playlist?list...](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho) ►Learning Math Series: [https:\/\/www.youtube.com\/watch?v=LPH2l...](https:\/\/www.youtube.com\/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw&index=1) ►LaTeX: [https:\/\/www.youtube.com\/watch?v=-HvRv...](https:\/\/www.youtube.com\/watch?v=-HvRvBjBAvg&list=PLHXZ9OQGMqxcWWkx2DMnQmj5os2X5ZR73&index=2) SOCIALS: ►X\/Twitter: [http:\/\/X.com\/treforbazett](https:\/\/www.youtube.com\/redirect?event=video_description&redir_token=QUFFLUhqblJMSzVkQ3BuWDJXTDBPRUpvT1AzaXlMakJZd3xBQ3Jtc0tuNWlaYmp4NE9aOC1jNkduVXVNalVKQnFSUWE0c2YwWm0ybXI2SWRhM01PVXpZVEtWa2t5WTl1cDZxcjdfZVhncE8yVG9tcmt0anktMWtLbHpRM2s2UFZQMU5meG1HZmFWWTNyQTZuUWpXeXg5LWVjQQ&q=http%3A%2F%2FX.com%2Ftreforbazett) ►TikTok: [http:\/\/tiktok.com\/@drtrefor](https:\/\/www.youtube.com\/redirect?event=video_description&redir_token=QUFFLUhqa250MHkzTGpzU0kxTXFPTl9NUk5YM2hDRHdsZ3xBQ3Jtc0trZ2R5QlBSVG4yRE1kYlZMb08zMF9QZ3UxUEl5aklCWkVRNDltU3NBY2R1YjFtYXVmdU9lQ0l0QTdLSV8zemJsM0otNjJNRXc5ZDdUZF9UMVJGcE1wbGJtXzFSUFRfSFBqS29CdDNpdnJaUU9pdm1NOA&q=http%3A%2F%2Ftiktok.com%2F%40drtrefor) ►Instagram (photography based): [http:\/\/instagram.com\/treforphotography](https:\/\/www.youtube.com\/redirect?event=video_description&redir_token=QUFFLUhqbi1UdmdCeUt6QW9pbm1aUDBLTXdvZHhSZ2c1Z3xBQ3Jtc0ttdFNFVUprdTVEa3BwQWNyWTVKWlhsRVlsbExZRDlZdzg5ek5qNTdDa3RxRzUzS1FMTWJranJyRDlPUE1UdUt3R2JORDZKUUJXTWVCbEpPUXBIeW9VLXgtVXhaY0lPYXpPSmZBVlBKcU1FM2JoUzBHWQ&q=http%3A%2F%2Finstagram.com%2Ftreforphotography)\n\n[Read more](https:\/\/www.youtube.com\/watch?v=gsUgDpGWk-M)\n\n## [Full Calculus Courses: I, II, III, IV](https:\/\/www.youtube.com\/c\/drtreforbazett)\n### [Calculus I (Limits, Derivative, Integrals) \\*\\*Full Course\\*\\*](https:\/\/www.youtube.com\/watch?v=LWPzHlSBlxI&list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m)\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)[Course](https:\/\/www.youtube.com\/@DrTrefor)\n\n[View full course](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m)\n\n### [Calculus II (Integration Methods, Series, Parametric\/Polar, Vectors) \\*\\*Full Course\\*\\*](https:\/\/www.youtube.com\/watch?v=i4c8n4S-Sp0&list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n)\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)[Course](https:\/\/www.youtube.com\/@DrTrefor)\n\n[View full course](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n)\n\n### [Calculus III: Multivariable Calculus (Vectors, Curves, Partial Derivatives, Multiple Integrals, Optimization, etc) \\*\\*Full Course \\*\\*](https:\/\/www.youtube.com\/watch?v=gsUgDpGWk-M&list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd)\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)[Course](https:\/\/www.youtube.com\/@DrTrefor)\n\n[View full course](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd)\n\n### [Calculus IV: Vector Calculus (Line Integrals, Surface Integrals, Vector Fields, Greens' Thm, Divergence Thm, Stokes Thm, etc) \\*\\*Full Course\\*\\*](https:\/\/www.youtube.com\/watch?v=AIxiYG-gZ00&list=PLHXZ9OQGMqxfW0GMqeUE1bLKaYor6kbHa)\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)[Course](https:\/\/www.youtube.com\/@DrTrefor)\n\n[View full course](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxfW0GMqeUE1bLKaYor6kbHa)\n\n## [Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS)    [Play all](https:\/\/www.youtube.com\/watch?v=rdXw7Ps9vxc&list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS)\nA one-semester course on Discrete Math taught by Dr. Trefor Bazett Covers: Logical Statements, Logical Operations, Truth Tables, Sets, Functions, Relations, Proof Methods such as Contrapositive, Contradiction and Induction, and Probability.\n\n### [Intro to Discrete Math - Welcome to the Course\\!](https:\/\/www.youtube.com\/watch?v=rdXw7Ps9vxc \"Intro to Discrete Math - Welcome to the Course!\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n732K views8 years ago\n\n### [Intro to Sets \\| Examples, Notation & Properties](https:\/\/www.youtube.com\/watch?v=B1v2-nGXNzs \"Intro to Sets | Examples, Notation & Properties\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n323K views8 years ago\n\n### [Set-Roster vs Set-Builder notation](https:\/\/www.youtube.com\/watch?v=aTlR03t1dTQ \"Set-Roster vs Set-Builder notation\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n180K views8 years ago\n\n### [The Empty Set & Vacuous Truth](https:\/\/www.youtube.com\/watch?v=GqvX4Fi0jbM \"The Empty Set & Vacuous Truth\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n140K views7 years ago\n\n### [Cartesian Product of Two Sets A x B](https:\/\/www.youtube.com\/watch?v=ufjEv-5nmcA \"Cartesian Product of Two Sets A x B\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n218K views8 years ago\n\n### [Relations between two sets \\| Definition + First Examples](https:\/\/www.youtube.com\/watch?v=0dzNlrNJYdc \"Relations between two sets | Definition + First Examples\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n146K views8 years ago\n\n## [Linear Algebra (Full Course)](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6)    [Play all](https:\/\/www.youtube.com\/watch?v=ZKUqtErZCiU&list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6)\nA one semester, introductory course in Linear Algebra. Emphasizes both conceptual understanding and procedural fluency in applying the techniques of Linear Algebra. Major topics are solving linear systems, linear transformations, linear independence, bases, dimension, eigenvalues and eigenvectors, diagonalization, orthogonality and Gram-Schmidt\n\n### [What's the big idea of Linear Algebra? \\*\\*Course Intro\\*\\*](https:\/\/www.youtube.com\/watch?v=ZKUqtErZCiU \"What's the big idea of Linear Algebra?    **Course Intro**\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n501K views7 years ago\n\n### [What is a Solution to a Linear System? \\*\\*Intro\\*\\*](https:\/\/www.youtube.com\/watch?v=H8MiZMJr1kQ \"What is a Solution to a Linear System? **Intro**\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n121K views7 years ago\n\n### [Visualizing Solutions to Linear Systems - - 2D & 3D Cases Geometrically](https:\/\/www.youtube.com\/watch?v=qKyturOAD60 \"Visualizing Solutions to Linear Systems - - 2D & 3D Cases Geometrically\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n92K views7 years ago\n\n### [Rewriting a Linear System using Matrix Notation](https:\/\/www.youtube.com\/watch?v=ghSkNXB08ds \"Rewriting a Linear System using Matrix Notation\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n87K views8 years ago\n\n### [Using Elementary Row Operations to Solve Systems of Linear Equations](https:\/\/www.youtube.com\/watch?v=MbmZk-x2FFs&pp=0gcJCYcKAYcqIYzv \"Using Elementary Row Operations to Solve Systems of Linear Equations\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n103K views8 years ago\n\n### [Using Elementary Row Operations to simplify a linear system](https:\/\/www.youtube.com\/watch?v=B7XtnvNwEPA \"Using Elementary Row Operations to simplify a linear system\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n65K views8 years ago\n\n## [Differential Equations Playlists](https:\/\/www.youtube.com\/c\/drtreforbazett)\n### [Ordinary Differential Equations (ODEs)](https:\/\/www.youtube.com\/watch?v=B5IjsTONKkw&list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw)\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)[Course](https:\/\/www.youtube.com\/@DrTrefor)\n\n[View full course](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw)\n\n### [Laplace Transforms and Solving ODEs](https:\/\/www.youtube.com\/watch?v=KqokoYr_h1A&list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1)\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)[Course](https:\/\/www.youtube.com\/@DrTrefor)\n\n[View full course](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1)\n\n### [Fourier Series](https:\/\/www.youtube.com\/watch?v=wmCIrpLBFds&list=PLHXZ9OQGMqxdhXcPyNciLdpvfmAjS82hR)\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)[Course](https:\/\/www.youtube.com\/@DrTrefor)\n\n[View full course](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxdhXcPyNciLdpvfmAjS82hR)\n\nOur membersThank you, channel members\\!\n\n![](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=)\n\n![](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=)\n\n![](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=)\n\n![](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=)\n\n![](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=)\n\n![](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=)\n\n![](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=)\n\n![](data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=)\n\n## [Cool Math Series](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho)    [Play all](https:\/\/www.youtube.com\/watch?v=qHnXE_h5c2M&list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho)\nThis series is just for fun, not for one of my courses! It contains cool bits of math that are accessible to a wide audience, not just those with lots of technical sophistication.\n\n### [What is cos( cos( cos( cos( cos( cos( cos( cos( cos( cos( cos( cos(…?? \/\/ Banach Fixed Point Theorem](https:\/\/www.youtube.com\/watch?v=qHnXE_h5c2M \"What is cos( cos( cos( cos( cos( cos( cos( cos( cos( cos( cos( cos(…?? \/\/ Banach Fixed Point Theorem\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n726K views4 years ago\n\n### [Untangling the beautiful math of KNOTS](https:\/\/www.youtube.com\/watch?v=pSgf9mJXn9o \"Untangling the beautiful math of KNOTS\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n70K views3 years ago\n\n### [Weird notions of \"distance\" \\|\\| Intro to Metric Spaces](https:\/\/www.youtube.com\/watch?v=fl5fOAYY-1s \"Weird notions of \\\"distance\\\" || Intro to Metric Spaces\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n105K views3 years ago\n\n### [The Beautiful Story of Non-Euclidean Geometry](https:\/\/www.youtube.com\/watch?v=yoGJKW2CjVA \"The Beautiful Story of Non-Euclidean Geometry\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n105K views3 years ago\n\n### [Stirling's Incredible Approximation \/\/ Gamma Functions, Gaussians, and Laplace's Method](https:\/\/www.youtube.com\/watch?v=JsUI40uSOTU \"Stirling's Incredible Approximation  \/\/ Gamma Functions, Gaussians, and Laplace's Method\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n145K views4 years ago\n\n### [The MATH of Pandemics \\| Intro to the SIR Model](https:\/\/www.youtube.com\/watch?v=Qrp40ck3WpI \"The MATH of Pandemics | Intro to the SIR Model\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n321K views5 years ago\n\nCC\n\n## [LaTeX Tutorials](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxcWWkx2DMnQmj5os2X5ZR73)    [Play all](https:\/\/www.youtube.com\/watch?v=Jp0lPj2-DQA&list=PLHXZ9OQGMqxcWWkx2DMnQmj5os2X5ZR73)\nLearn to write beautiful mathematics documents with LaTeX. This playlist of tutorials takes you from a complete beginner all the way up to an elite LaTeX master:D An excellent platform to learn and author LaTeX is Overleaf.com which is the sponsor for all but the first videos in this series.\n\n### [Intro to LaTeX : Learn to write beautiful math equations \\|\\| Part 1](https:\/\/www.youtube.com\/watch?v=Jp0lPj2-DQA \"Intro to LaTeX : Learn to write beautiful math equations || Part 1\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n1\\.4M views5 years ago\n\n### [Intro to LaTeX \\*\\*Full Tutorial\\*\\* Part II (Equations, Tables, Figures, Theorems, Macros and more)](https:\/\/www.youtube.com\/watch?v=-HvRvBjBAvg \"Intro to LaTeX **Full Tutorial**  Part II (Equations, Tables, Figures, Theorems, Macros and more)\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n299K views4 years ago\n\nCC\n\n### [How to write a thesis using LaTeX \\*\\*full tutorial\\*\\*](https:\/\/www.youtube.com\/watch?v=zqQM66uAig0 \"How to write a thesis using LaTeX  **full tutorial**\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n894K views4 years ago\n\nCC\n\n### [How to make your LaTeX documents BEAUTIFUL \/\/ LaTeX Tutorial](https:\/\/www.youtube.com\/watch?v=7B7ytLrMTa0 \"How to make your LaTeX documents BEAUTIFUL \/\/ LaTeX Tutorial\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n131K views2 years ago\n\n### [How to make beautiful math graphics using Tikz & LaTeX](https:\/\/www.youtube.com\/watch?v=bQugbYq0BVA \"How to make beautiful math graphics using Tikz & LaTeX\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n201K views3 years ago\n\nCC\n\n### [How I make beautiful GRAPHS and PLOTS using LaTeX](https:\/\/www.youtube.com\/watch?v=5jmIHOWpEg0&pp=0gcJCYcKAYcqIYzv \"How I make beautiful GRAPHS and PLOTS using LaTeX\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n567K views3 years ago\n\nCC\n\n## [Learning Math Advice](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw)    [Play all](https:\/\/www.youtube.com\/watch?v=aLPhBVkhE6I&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw&pp=0gcJCS8EgXWwhyeT)\nLearning how to learn mathematics effectively is crucial for success. We can't just passively watch videos online and expect to get easy As. In this playlist, I share several tips and tricks on how to be effective in your mathematics learning.\n\n### [My STUDY ROUTINE as a Math Prof \/\/ My top study tips](https:\/\/www.youtube.com\/watch?v=aLPhBVkhE6I&pp=0gcJCYcKAYcqIYzv \"My STUDY ROUTINE as a Math Prof  \/\/ My top study tips\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n96K views5 years ago\n\n### [How to LEARN effectively \\| Five evidence-based tips](https:\/\/www.youtube.com\/watch?v=uytSwU3DJQY \"How to LEARN effectively | Five evidence-based tips\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n49K views6 years ago\n\n### [How to Succeed in Online Courses](https:\/\/www.youtube.com\/watch?v=B5kJ2XH3V0M \"How to Succeed in Online Courses\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n28K views7 years ago\n\n### [5 Tips To Make Math Practice Problems Actually Effective](https:\/\/www.youtube.com\/watch?v=LPH2lqis3D0 \"5 Tips To Make Math Practice Problems Actually Effective\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n22K views7 years ago\n\n### [9 tips to help you PROVE MATH THEOREMS](https:\/\/www.youtube.com\/watch?v=-6b-tQEBUT8 \"9 tips to help you PROVE MATH THEOREMS\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n155K views5 years ago\n\n### [How to watch math videos](https:\/\/www.youtube.com\/watch?v=Ljq5y3ksk8o \"How to watch math videos\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n23K views8 years ago\n\n## [Game Theory](https:\/\/www.youtube.com\/playlist?list=PLHXZ9OQGMqxdzD8KpTHz6_gsw9pPxRFlX)    [Play all](https:\/\/www.youtube.com\/watch?v=qSDyvqxGWGc&list=PLHXZ9OQGMqxdzD8KpTHz6_gsw9pPxRFlX)\nThis series is an introduction to Game Theory. This incredibly powerful field of math has applications everywhere in economics, biology, political science and so many other places. We will start at the beginning with the basics ideas and build up to a sophisticated understanding.\n\n### [THE PRISONER'S DILEMMA \/\/ Intro to Game Theory \/\/ Episode 1](https:\/\/www.youtube.com\/watch?v=qSDyvqxGWGc \"THE PRISONER'S DILEMMA  \/\/ Intro to Game Theory  \/\/  Episode 1\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n29K views4 years ago\n\n### [Normal Form Games \/\/ Intro to Game Theory \/\/ Episode 2](https:\/\/www.youtube.com\/watch?v=TVlf43FmuPY \"Normal Form Games \/\/ Intro to Game Theory \/\/ Episode 2\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n18K views4 years ago\n\n### [How to find DOMINATING STRATEGIES with Game Theory](https:\/\/www.youtube.com\/watch?v=d7J8XLGFQyQ \"How to find DOMINATING STRATEGIES  with Game Theory\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n22K views4 years ago\n\n### [The Mathematics of Trust \/\/ How Game Theory Explains Cooperation](https:\/\/www.youtube.com\/watch?v=u6-DdyN30cA \"The Mathematics of Trust  \/\/ How Game Theory Explains Cooperation\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n17K views4 years ago\n\n### [Nash Equilibriums \/\/ How to use Game Theory to render your opponents indifferent](https:\/\/www.youtube.com\/watch?v=0AOLtbsJ-Go \"Nash Equilibriums  \/\/ How to use Game Theory to render your opponents indifferent\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n19K views4 years ago\n\n### [The Evolution of Cooperation \/\/ Iterated Prisoner's Dilemma](https:\/\/www.youtube.com\/watch?v=Ur3Vf_ibHD0 \"The Evolution of Cooperation \/\/ Iterated Prisoner's Dilemma\")\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n16K views4 years ago\n\n## Shorts\n### [Visualizing a 4D Sphere](https:\/\/www.youtube.com\/shorts\/Exl1WQ8sGkg \"Visualizing a 4D Sphere\")\n40K views\n\n### [Strange Attractors](https:\/\/www.youtube.com\/shorts\/rPjPjKPnk1c \"Strange Attractors\")\n279K views\n\n### [The best way to stack blocks](https:\/\/www.youtube.com\/shorts\/FYgrDtFyNt4 \"The best way to stack blocks\")\n336K views\n\n### [An infinite block overhang?](https:\/\/www.youtube.com\/shorts\/HlXM4cNJsxc \"An infinite block overhang?\")\n6\\.3M views\n\n### [This pattern appears everywhere in nature \/\/ Voronoi Cells](https:\/\/www.youtube.com\/shorts\/RyVpm6DQJYc \"This pattern appears everywhere in nature \/\/ Voronoi Cells\")\n597K views\n\n### [The Mobius Strip Bubble](https:\/\/www.youtube.com\/shorts\/0pWW0maO3jA \"The Mobius Strip Bubble\")\n246K views\n\n## [Posts](https:\/\/www.youtube.com\/channel\/UC9rTsvTxJnx1DNrDA3Rqa6A\/posts)\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n•\n\n[11 months ago](https:\/\/www.youtube.com\/post\/UgkxICVPG8hdPxE9RyJOefQPfmRjH6kbxZHu)\n\nWhen learning something new like a math topic, do you tend to go to YouTube first or ChatGPT first? I'd love to hear your thoughts in the comments (I'm doing a talk on AI use in math education next week, wanting some context from you all). Of course I'm sampling from people currently on YouTube who presumably follow me for my math explainers so a highly biased sample!! Still, I'm curious.\n\n2\\.8K votes\n\n[Vote now](https:\/\/www.youtube.com\/post\/UgkxICVPG8hdPxE9RyJOefQPfmRjH6kbxZHu)\n\n2\\.8K votes\n\n[Watching a video explainer on YouTube](https:\/\/accounts.google.com\/ServiceLogin?service=youtube&uilel=3&passive=true&continue=https%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Ddesktop%26hl%3Den%26next%3D%252Fchannel%252FUC9rTsvTxJnx1DNrDA3Rqa6A%252Fposts&hl=en)\n\n[Asking ChatGPT or other LLM](https:\/\/accounts.google.com\/ServiceLogin?service=youtube&uilel=3&passive=true&continue=https%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Ddesktop%26hl%3Den%26next%3D%252Fchannel%252FUC9rTsvTxJnx1DNrDA3Rqa6A%252Fposts&hl=en)\n\nLike\n\n87\n\nDislike\n\n[104](https:\/\/accounts.google.com\/ServiceLogin?service=youtube&uilel=3&passive=true&continue=https%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Ddesktop%26hl%3Den%26next%3D%252Fpost%252FUgkxICVPG8hdPxE9RyJOefQPfmRjH6kbxZHu&hl=en)\n\nComment\n\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n•\n\n[1 year ago](https:\/\/www.youtube.com\/post\/Ugkx4NJbcmZDbgMja2kgXSY3DHrDjQWRAPiL)\n\nLet's answer this once and for all. Math is...\n\n6K votes\n\n[Vote now](https:\/\/www.youtube.com\/post\/Ugkx4NJbcmZDbgMja2kgXSY3DHrDjQWRAPiL)\n\n6K votes\n\n[Discovered](https:\/\/accounts.google.com\/ServiceLogin?service=youtube&uilel=3&passive=true&continue=https%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Ddesktop%26hl%3Den%26next%3D%252Fchannel%252FUC9rTsvTxJnx1DNrDA3Rqa6A%252Fposts&hl=en)\n\n[Invented](https:\/\/accounts.google.com\/ServiceLogin?service=youtube&uilel=3&passive=true&continue=https%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Ddesktop%26hl%3Den%26next%3D%252Fchannel%252FUC9rTsvTxJnx1DNrDA3Rqa6A%252Fposts&hl=en)\n\nLike\n\n203\n\nDislike\n\n[106](https:\/\/accounts.google.com\/ServiceLogin?service=youtube&uilel=3&passive=true&continue=https%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Ddesktop%26hl%3Den%26next%3D%252Fpost%252FUgkx4NJbcmZDbgMja2kgXSY3DHrDjQWRAPiL&hl=en)\n\nComment\n\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n•\n\n[1 year ago](https:\/\/www.youtube.com\/post\/UgkxXrc6KWyOuGSKpfjyznld75wP-GeKtPJz)\n\nWhat is your favorite math equation??? There are so many beautiful equations in math, but I'm curious what you think the most beautiful ones are? Euler's formula is often cited, combining 5 special numbers e, pi, i, 1, 0, but my next video is about another equation due to Euler that I think I like even more (channel members can watch now!).\n\nLike\n\n298\n\nDislike\n\n[62](https:\/\/accounts.google.com\/ServiceLogin?service=youtube&uilel=3&passive=true&continue=https%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Ddesktop%26hl%3Den%26next%3D%252Fpost%252FUgkxXrc6KWyOuGSKpfjyznld75wP-GeKtPJz&hl=en)\n\nComment\n\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n•\n\n[1 year ago (edited)](https:\/\/www.youtube.com\/post\/UgkxPGE40kanq2vLAjVeQF3NKYsrtbI_IkaO)\n\nHey all, update that the company I've been working with on merch is closing down. I started working with Beautiful Equations a couple years ago, and while there are lots of merch companies out there I liked that this one was trying to really focus on promoting mathematics and so I was happy to partner with them. Anyone who ordered merch is getting\/already gotten their merch, but there isn't new sales and there will be some dead links in my video description or a while until I get them all removed - thanks for your understanding:) To anyone who ordered something over the years, thank you! You are amazing:) It was never a significant amount of money (and honestly I did a bad job promoting it, I almost never actually mentioned it in a video) so I'm not in any particular rush to do it again with a new company, but who knows, there might be new math merch in the future:D\n\nLike\n\n322\n\nDislike\n\n[7](https:\/\/accounts.google.com\/ServiceLogin?service=youtube&uilel=3&passive=true&continue=https%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Ddesktop%26hl%3Den%26next%3D%252Fpost%252FUgkxPGE40kanq2vLAjVeQF3NKYsrtbI_IkaO&hl=en)\n\nComment\n\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n•\n\n[2 years ago](https:\/\/www.youtube.com\/post\/Ugkx1utLKIwLm2akEaooJhNDb0zZVC_PHbPT)\n\nEvery year around this time my YouTube analytics goes nuts - I can see you all studying like crazy for your exams! So for anyone writing in December, good luck:) You got this\\!\n\nLike\n\n751\n\nDislike\n\n[32](https:\/\/accounts.google.com\/ServiceLogin?service=youtube&uilel=3&passive=true&continue=https%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Ddesktop%26hl%3Den%26next%3D%252Fpost%252FUgkx1utLKIwLm2akEaooJhNDb0zZVC_PHbPT&hl=en)\n\nComment\n\n[Dr. Trefor Bazett](https:\/\/www.youtube.com\/@DrTrefor)\n\n•\n\n[3 years ago (edited)](https:\/\/www.youtube.com\/post\/UgkxBBJTW_SKXLFlYBijj1_6KX0Db1Hq7rMf)\n\nHappy 2023 everyone! I want to take a minute to share my thoughts on where this little math channel went in 2022 and where I hope it goes in 2023! 2022 was my biggest year yet in analytics. 10+ million views and 100k+ additional subscribers - you are amazing! But it was mostly a big year as I changed my content strategy a lot. I used to primarily make videos intended for my online and flipped courses as a math professor, and most people would watch videos by search for a topic like \"Laplace Transform\" or whatever. However, this last year I switched to making videos about cool math topics I wanted to make for a more general audience of people interested in math. This worked out great! A few videos went \"viral\" (by my standards), and I just had a lot of fun sharing more than the standard topics from the undergrad curriculum. I also had a baby which made my video schedule pretty low the first four months, so I'm proud of how the year turned out! Ok so what's up for 2023? Well, mostly more of the same. I've set myself a new years resolution of releasing one high-quality math video I'm really proud of every two weeks, so hold me to that! I mostly intend these to be interesting one-off videos or mini-series that take us into a cool journey into a math topic, but will probably slip in some more standard course videos here and there as well. I have a lot of ideas I think are really interesting and am excited to share them all with you. To everyone who has supported me in this journey thank you. First and foremost to the members of this channel - you are amazing, truly (link: [https:\/\/www.youtube.com\/channel\/UC9rT...](https:\/\/www.youtube.com\/channel\/UC9rTsvTxJnx1DNrDA3Rqa6A). I'm a professor first, this is what consumes most of my working life. I love YouTube, I'm unbelievably passionate about YouTube, but I will always be a professor first which means that YouTube has to be squeezed in between my professional and family life. So the support of all of you whether helping me buy some much needed coffees as a member or just subscribing or sharing with your friends, you really make all the difference at having this channel be possible so thank you so much! Hope your 2023 is amazing! -Trefor\n\nLike\n\n351\n\nDislike\n\n[21](https:\/\/accounts.google.com\/ServiceLogin?service=youtube&uilel=3&passive=true&continue=https%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Ddesktop%26hl%3Den%26next%3D%252Fpost%252FUgkxBBJTW_SKXLFlYBijj1_6KX0Db1Hq7rMf&hl=en)\n\nComment","meta_canonical":"com,youtube!www,\/channel\/UC9rTsvTxJnx1DNrDA3Rqa6A s443"}

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Meta Description	This channel is about helping you learn math. I've got full playlists for Discrete Math, Linear Algebra, Calculus I-IV and Differential equations, as well a...
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Boilerpipe Text	What are the big ideas of Multivariable Calculus?? Full Course Intro 0:02 / 16:49 • Watch full video What are the big ideas of Multivariable Calculus?? Full Course Intro 595,599 views 5 years ago Welcome to Calculus III: Multivariable Calculus. This playlist covers a full one semester Calc III courses. In this introduction, I do a visual overview of the big ideas we will see in this course. ►Full Multivariable Calculus Playlist: https://www.youtube.com/playlist?list... Topics: Visualizing multivariable functions (both surfaces and curves) Tangent lines to curves Curvature and the Frenet Frame Multivariable Limits Partial Derivatives, Directional Derivatives, and Tangent planes Optimization and Lagrange Multipliers Volume under a Surface Spherical Coordinates And much more!! ♡♡♡SUPPORT THE CHANNEL♡♡♡ ►Support on PATREON: https://patreon.com/DrTrefor ►MATH BOOKS I LOVE (affiliate link): https://www.amazon.com/shop/treforbazett ►CURIOSITY BOX: https://www.CuriosityBox.com/DrTrefor use CODE drtrefor for 25% off awesome STEM merch boxes COURSE PLAYLISTS: ►DISCRETE MATH: https://www.youtube.com/playlist?list... ►LINEAR ALGEBRA: https://www.youtube.com/playlist?list... ►CALCULUS I: https://www.youtube.com/playlist?list... ►CALCULUS II: https://www.youtube.com/playlist?list... ►MULTIVARIABLE CALCULUS (Calc III): https://www.youtube.com/playlist?list... ►VECTOR CALCULUS (Calc IV): https://www.youtube.com/playlist?list... ►DIFFERENTIAL EQUATIONS: https://www.youtube.com/playlist?list... ►LAPLACE TRANSFORM: https://www.youtube.com/playlist?list... ►GAME THEORY: https://www.youtube.com/playlist?list... OTHER PLAYLISTS: ►Cool Math Series: https://www.youtube.com/playlist?list... ►Learning Math Series: https://www.youtube.com/watch?v=LPH2l... ►LaTeX: https://www.youtube.com/watch?v=-HvRv... SOCIALS: ►X/Twitter: http://X.com/treforbazett ►TikTok: http://tiktok.com/@drtrefor ►Instagram (photography based): http://instagram.com/treforphotography Read more Full Calculus Courses: I, II, III, IV Calculus I (Limits, Derivative, Integrals) Full Course Dr. Trefor Bazett Course View full course Calculus II (Integration Methods, Series, Parametric/Polar, Vectors) Full Course Dr. Trefor Bazett Course View full course Calculus III: Multivariable Calculus (Vectors, Curves, Partial Derivatives, Multiple Integrals, Optimization, etc) Full Course Dr. Trefor Bazett Course View full course Calculus IV: Vector Calculus (Line Integrals, Surface Integrals, Vector Fields, Greens' Thm, Divergence Thm, Stokes Thm, etc) Full Course Dr. Trefor Bazett Course View full course Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc) Play all A one-semester course on Discrete Math taught by Dr. Trefor Bazett Covers: Logical Statements, Logical Operations, Truth Tables, Sets, Functions, Relations, Proof Methods such as Contrapositive, Contradiction and Induction, and Probability. Intro to Discrete Math - Welcome to the Course! Dr. Trefor Bazett 732K views 8 years ago Intro to Sets \| Examples, Notation & Properties Dr. Trefor Bazett 323K views 8 years ago Set-Roster vs Set-Builder notation Dr. Trefor Bazett 180K views 8 years ago The Empty Set & Vacuous Truth Dr. Trefor Bazett 140K views 7 years ago Cartesian Product of Two Sets A x B Dr. Trefor Bazett 218K views 8 years ago Relations between two sets \| Definition + First Examples Dr. Trefor Bazett 146K views 8 years ago Linear Algebra (Full Course) Play all A one semester, introductory course in Linear Algebra. Emphasizes both conceptual understanding and procedural fluency in applying the techniques of Linear Algebra. Major topics are solving linear systems, linear transformations, linear independence, bases, dimension, eigenvalues and eigenvectors, diagonalization, orthogonality and Gram-Schmidt What's the big idea of Linear Algebra? Course Intro Dr. Trefor Bazett 501K views 7 years ago What is a Solution to a Linear System? Intro Dr. Trefor Bazett 121K views 7 years ago Visualizing Solutions to Linear Systems - - 2D & 3D Cases Geometrically Dr. Trefor Bazett 92K views 7 years ago Rewriting a Linear System using Matrix Notation Dr. Trefor Bazett 87K views 8 years ago Using Elementary Row Operations to Solve Systems of Linear Equations Dr. Trefor Bazett 103K views 8 years ago Using Elementary Row Operations to simplify a linear system Dr. Trefor Bazett 65K views 8 years ago Differential Equations Playlists Ordinary Differential Equations (ODEs) Dr. Trefor Bazett Course View full course Laplace Transforms and Solving ODEs Dr. Trefor Bazett Course View full course Fourier Series Dr. Trefor Bazett Course View full course Our members Thank you, channel members! Cool Math Series Play all This series is just for fun, not for one of my courses! It contains cool bits of math that are accessible to a wide audience, not just those with lots of technical sophistication. What is cos( cos( cos( cos( cos( cos( cos( cos( cos( cos( cos( cos(…?? // Banach Fixed Point Theorem Dr. Trefor Bazett 726K views 4 years ago Untangling the beautiful math of KNOTS Dr. Trefor Bazett 70K views 3 years ago Weird notions of "distance" \|\| Intro to Metric Spaces Dr. Trefor Bazett 105K views 3 years ago The Beautiful Story of Non-Euclidean Geometry Dr. Trefor Bazett 105K views 3 years ago Stirling's Incredible Approximation // Gamma Functions, Gaussians, and Laplace's Method Dr. Trefor Bazett 145K views 4 years ago The MATH of Pandemics \| Intro to the SIR Model Dr. Trefor Bazett 321K views 5 years ago CC LaTeX Tutorials Play all Learn to write beautiful mathematics documents with LaTeX. This playlist of tutorials takes you from a complete beginner all the way up to an elite LaTeX master:D An excellent platform to learn and author LaTeX is Overleaf.com which is the sponsor for all but the first videos in this series. Intro to LaTeX : Learn to write beautiful math equations \|\| Part 1 Dr. Trefor Bazett 1.4M views 5 years ago Intro to LaTeX Full Tutorial Part II (Equations, Tables, Figures, Theorems, Macros and more) Dr. Trefor Bazett 299K views 4 years ago CC How to write a thesis using LaTeX full tutorial Dr. Trefor Bazett 894K views 4 years ago CC How to make your LaTeX documents BEAUTIFUL // LaTeX Tutorial Dr. Trefor Bazett 131K views 2 years ago How to make beautiful math graphics using Tikz & LaTeX Dr. Trefor Bazett 201K views 3 years ago CC How I make beautiful GRAPHS and PLOTS using LaTeX Dr. Trefor Bazett 567K views 3 years ago CC Learning Math Advice Play all Learning how to learn mathematics effectively is crucial for success. We can't just passively watch videos online and expect to get easy As. In this playlist, I share several tips and tricks on how to be effective in your mathematics learning. My STUDY ROUTINE as a Math Prof // My top study tips Dr. Trefor Bazett 96K views 5 years ago How to LEARN effectively \| Five evidence-based tips Dr. Trefor Bazett 49K views 6 years ago How to Succeed in Online Courses Dr. Trefor Bazett 28K views 7 years ago 5 Tips To Make Math Practice Problems Actually Effective Dr. Trefor Bazett 22K views 7 years ago 9 tips to help you PROVE MATH THEOREMS Dr. Trefor Bazett 155K views 5 years ago How to watch math videos Dr. Trefor Bazett 23K views 8 years ago Game Theory Play all This series is an introduction to Game Theory. This incredibly powerful field of math has applications everywhere in economics, biology, political science and so many other places. We will start at the beginning with the basics ideas and build up to a sophisticated understanding. THE PRISONER'S DILEMMA // Intro to Game Theory // Episode 1 Dr. Trefor Bazett 29K views 4 years ago Normal Form Games // Intro to Game Theory // Episode 2 Dr. Trefor Bazett 18K views 4 years ago How to find DOMINATING STRATEGIES with Game Theory Dr. Trefor Bazett 22K views 4 years ago The Mathematics of Trust // How Game Theory Explains Cooperation Dr. Trefor Bazett 17K views 4 years ago Nash Equilibriums // How to use Game Theory to render your opponents indifferent Dr. Trefor Bazett 19K views 4 years ago The Evolution of Cooperation // Iterated Prisoner's Dilemma Dr. Trefor Bazett 16K views 4 years ago Shorts Visualizing a 4D Sphere 40K views Strange Attractors 279K views The best way to stack blocks 336K views An infinite block overhang? 6.3M views This pattern appears everywhere in nature // Voronoi Cells 597K views The Mobius Strip Bubble 246K views Posts Dr. Trefor Bazett • 11 months ago When learning something new like a math topic, do you tend to go to YouTube first or ChatGPT first? I'd love to hear your thoughts in the comments (I'm doing a talk on AI use in math education next week, wanting some context from you all). Of course I'm sampling from people currently on YouTube who presumably follow me for my math explainers so a highly biased sample!! Still, I'm curious. 2.8K votes Vote now 2.8K votes Watching a video explainer on YouTube Asking ChatGPT or other LLM Like 87 Dislike 104 Comment Dr. Trefor Bazett • 1 year ago Let's answer this once and for all. Math is... 6K votes Vote now 6K votes Discovered Invented Like 203 Dislike 106 Comment Dr. Trefor Bazett • 1 year ago What is your favorite math equation??? There are so many beautiful equations in math, but I'm curious what you think the most beautiful ones are? Euler's formula is often cited, combining 5 special numbers e, pi, i, 1, 0, but my next video is about another equation due to Euler that I think I like even more (channel members can watch now!). Like 298 Dislike 62 Comment Dr. Trefor Bazett • 1 year ago (edited) Hey all, update that the company I've been working with on merch is closing down. I started working with Beautiful Equations a couple years ago, and while there are lots of merch companies out there I liked that this one was trying to really focus on promoting mathematics and so I was happy to partner with them. Anyone who ordered merch is getting/already gotten their merch, but there isn't new sales and there will be some dead links in my video description or a while until I get them all removed - thanks for your understanding:) To anyone who ordered something over the years, thank you! You are amazing:) It was never a significant amount of money (and honestly I did a bad job promoting it, I almost never actually mentioned it in a video) so I'm not in any particular rush to do it again with a new company, but who knows, there might be new math merch in the future:D Like 322 Dislike 7 Comment Dr. Trefor Bazett • 2 years ago Every year around this time my YouTube analytics goes nuts - I can see you all studying like crazy for your exams! So for anyone writing in December, good luck:) You got this! Like 751 Dislike 32 Comment Dr. Trefor Bazett • 3 years ago (edited) Happy 2023 everyone! I want to take a minute to share my thoughts on where this little math channel went in 2022 and where I hope it goes in 2023! 2022 was my biggest year yet in analytics. 10+ million views and 100k+ additional subscribers - you are amazing! But it was mostly a big year as I changed my content strategy a lot. I used to primarily make videos intended for my online and flipped courses as a math professor, and most people would watch videos by search for a topic like "Laplace Transform" or whatever. However, this last year I switched to making videos about cool math topics I wanted to make for a more general audience of people interested in math. This worked out great! A few videos went "viral" (by my standards), and I just had a lot of fun sharing more than the standard topics from the undergrad curriculum. I also had a baby which made my video schedule pretty low the first four months, so I'm proud of how the year turned out! Ok so what's up for 2023? Well, mostly more of the same. I've set myself a new years resolution of releasing one high-quality math video I'm really proud of every two weeks, so hold me to that! I mostly intend these to be interesting one-off videos or mini-series that take us into a cool journey into a math topic, but will probably slip in some more standard course videos here and there as well. I have a lot of ideas I think are really interesting and am excited to share them all with you. To everyone who has supported me in this journey thank you. First and foremost to the members of this channel - you are amazing, truly (link: https://www.youtube.com/channel/UC9rT... . I'm a professor first, this is what consumes most of my working life. I love YouTube, I'm unbelievably passionate about YouTube, but I will always be a professor first which means that YouTube has to be squeezed in between my professional and family life. So the support of all of you whether helping me buy some much needed coffees as a member or just subscribing or sharing with your friends, you really make all the difference at having this channel be possible so thank you so much! Hope your 2023 is amazing! -Trefor Like 351 Dislike 21 Comment
Markdown	# # Back [![]()](https://www.youtube.com/ "YouTube Home") GB Skip navigation Search [Sign in](https://accounts.google.com/ServiceLogin?service=youtube&uilel=3&passive=true&continue=https%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Ddesktop%26hl%3Den%26next%3Dhttps%253A%252F%252Fwww.youtube.com%252Fc%252Fdrtreforbazett&hl=en&ec=65620) [![]()](https://www.youtube.com/ "YouTube Home") GB [Home Home](https://www.youtube.com/ "Home") [Shorts Shorts](https://www.youtube.com/shorts/ "Shorts") [Subscriptions Subscriptions](https://www.youtube.com/feed/subscriptions "Subscriptions") [You You](https://www.youtube.com/feed/you "You") ![](https://yt3.googleusercontent.com/DZCDxrJ48uiICojdwkzsbVeDtKfpxWCioRii9G03prhNIfxPOCy_kzLO7OiNGYjzFZQusSzh0A=w1060-fcrop64=1,00005a57ffffa5a8-k-c0xffffffff-no-nd-rj) ![](https://yt3.googleusercontent.com/ytc/AIdro_lAOi_1eAO-NKrsecIaYKpj05qQlLen6MFoxZv0kp-NWw=s160-c-k-c0x00ffffff-no-rj) # Dr. Trefor Bazett @DrTrefor • 579K subscribers•614 videos This channel is about helping you learn math. I've got full playlists for Discrete Math, Linear Algebra, Calculus I-IV and Differential equations, as well as many more videos on cool math topics or about learning effectively. ...more This channel is about helping you learn math. I've got full playlists for Discrete Math, Linear Algebra, Calculus I-IV and Differential equations, as well as many more videos on cool math topics or about learning effectively. ...more ...more [patreon.com/DrTrefor](https://www.youtube.com/redirect?event=channel_header&redir_token=QUFFLUhqbDRzYVNzYWlwSVpZa194R2M0Z1dCSGkxSGI2d3xBQ3Jtc0tsY21mTDRuUWFKT1V1WmZqZkFGOGtGa0FxNFRzcVFwTjR1aFp1Nk5iWkJCcnJrRWJFT0FxU0JKbG9LRUlzZV9IT0U3Qy0wV19FWkItQlVnck50bXN0cTZ2UjZRYXBKTjVrdnZaajNZM21xQnY4LWhKRQ&q=https%3A%2F%2Fpatreon.com%2FDrTrefor)[and 3 more links]() Subscribe Join [Visit Community](https://www.youtube.com/@DrTrefor/community) Home Videos Shorts Courses Playlists Posts [What are the big ideas of Multivariable Calculus?? 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In this introduction, I do a visual overview of the big ideas we will see in this course. ►Full Multivariable Calculus Playlist: [https://www.youtube.com/playlist?list...](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd) Topics: Visualizing multivariable functions (both surfaces and curves) Tangent lines to curves Curvature and the Frenet Frame Multivariable Limits Partial Derivatives, Directional Derivatives, and Tangent planes Optimization and Lagrange Multipliers Volume under a Surface Spherical Coordinates And much more!! ♡♡♡SUPPORT THE CHANNEL♡♡♡ ►Support on PATREON: [https://patreon.com/DrTrefor](https://www.youtube.com/redirect?event=video_description&redir_token=QUFFLUhqbTdYOTUxUVk3R25vTHZyLUtIRmk2dm11bndhd3xBQ3Jtc0trTnF1cDNpTjFJcDJJNWdVdUFLekZIeC05ZHNXREVmblZvRFRyTG5OUjBlWlAyQlhqejlOdHdzaWI4aGZ2R2hwTkMweWFLZEVDN0NvTU1CTjlSdkxSbUt4b1BYZ0pVcEU3MGl3cnA3SFNrZ0dpWXBPSQ&q=https%3A%2F%2Fpatreon.com%2FDrTrefor) ►MATH BOOKS I LOVE (affiliate link): [https://www.amazon.com/shop/treforbazett](https://www.youtube.com/redirect?event=video_description&redir_token=QUFFLUhqbENKM2hrdUdPS25HM3Z4SVZxTnE4dTVjNmZUZ3xBQ3Jtc0ttMUw0MS1yNHpUU2RyVnY3b1U3aHVIaFgxV3V0ZFk1OThWRzNGc1JtSEI1SWh4aDZPQkZhcVNsdGdxNHhuaDRnU2duM2U3UHRUT3JldHBBaHRFT1cxNFFSVUs4OWNPNmgteU1GQWp2UEdOSXQ4ZHFXbw&q=https%3A%2F%2Fwww.amazon.com%2Fshop%2Ftreforbazett) ►CURIOSITY BOX: [https://www.CuriosityBox.com/DrTrefor](https://www.youtube.com/redirect?event=video_description&redir_token=QUFFLUhqblZISFlodHdkeVE4NTVDbmxETVFfUmpGOHdqd3xBQ3Jtc0trQzU0RDlPZENVVUs4d0ZpZWNlLU45N0tVRnIxQlNlYThFSTFzX3c0aEtfWDVnRUU1SDI0aXlfUWFTVDBCdlJLd09CUl9CQW0wck5NUHI0QUxKQWFKNXYwUVA3WlNyajEzTDNxSXBtck9hNWMzMzVqWQ&q=https%3A%2F%2Fwww.CuriosityBox.com%2FDrTrefor) use CODE drtrefor for 25% off awesome STEM merch boxes COURSE PLAYLISTS: ►DISCRETE MATH: [https://www.youtube.com/playlist?list...](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS) ►LINEAR ALGEBRA: [https://www.youtube.com/playlist?list...](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6) ►CALCULUS I: [https://www.youtube.com/playlist?list...](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m) ►CALCULUS II: [https://www.youtube.com/playlist?list...](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n) ►MULTIVARIABLE CALCULUS (Calc III): [https://www.youtube.com/playlist?list...](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd) ►VECTOR CALCULUS (Calc IV): [https://www.youtube.com/playlist?list...](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfW0GMqeUE1bLKaYor6kbHa) ►DIFFERENTIAL EQUATIONS: [https://www.youtube.com/playlist?list...](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw) ►LAPLACE TRANSFORM: [https://www.youtube.com/playlist?list...](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1) ►GAME THEORY: [https://www.youtube.com/playlist?list...](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxdzD8KpTHz6_gsw9pPxRFlX) OTHER PLAYLISTS: ►Cool Math Series: [https://www.youtube.com/playlist?list...](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho) ►Learning Math Series: [https://www.youtube.com/watch?v=LPH2l...](https://www.youtube.com/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw&index=1) ►LaTeX: [https://www.youtube.com/watch?v=-HvRv...](https://www.youtube.com/watch?v=-HvRvBjBAvg&list=PLHXZ9OQGMqxcWWkx2DMnQmj5os2X5ZR73&index=2) SOCIALS: ►X/Twitter: [http://X.com/treforbazett](https://www.youtube.com/redirect?event=video_description&redir_token=QUFFLUhqblJMSzVkQ3BuWDJXTDBPRUpvT1AzaXlMakJZd3xBQ3Jtc0tuNWlaYmp4NE9aOC1jNkduVXVNalVKQnFSUWE0c2YwWm0ybXI2SWRhM01PVXpZVEtWa2t5WTl1cDZxcjdfZVhncE8yVG9tcmt0anktMWtLbHpRM2s2UFZQMU5meG1HZmFWWTNyQTZuUWpXeXg5LWVjQQ&q=http%3A%2F%2FX.com%2Ftreforbazett) ►TikTok: [http://tiktok.com/@drtrefor](https://www.youtube.com/redirect?event=video_description&redir_token=QUFFLUhqa250MHkzTGpzU0kxTXFPTl9NUk5YM2hDRHdsZ3xBQ3Jtc0trZ2R5QlBSVG4yRE1kYlZMb08zMF9QZ3UxUEl5aklCWkVRNDltU3NBY2R1YjFtYXVmdU9lQ0l0QTdLSV8zemJsM0otNjJNRXc5ZDdUZF9UMVJGcE1wbGJtXzFSUFRfSFBqS29CdDNpdnJaUU9pdm1NOA&q=http%3A%2F%2Ftiktok.com%2F%40drtrefor) ►Instagram (photography based): [http://instagram.com/treforphotography](https://www.youtube.com/redirect?event=video_description&redir_token=QUFFLUhqbi1UdmdCeUt6QW9pbm1aUDBLTXdvZHhSZ2c1Z3xBQ3Jtc0ttdFNFVUprdTVEa3BwQWNyWTVKWlhsRVlsbExZRDlZdzg5ek5qNTdDa3RxRzUzS1FMTWJranJyRDlPUE1UdUt3R2JORDZKUUJXTWVCbEpPUXBIeW9VLXgtVXhaY0lPYXpPSmZBVlBKcU1FM2JoUzBHWQ&q=http%3A%2F%2Finstagram.com%2Ftreforphotography) [Read more](https://www.youtube.com/watch?v=gsUgDpGWk-M) ## [![]()]("Full Calculus Courses: I, II, III, IV") [Full Calculus Courses: I, II, III, IV](https://www.youtube.com/c/drtreforbazett) [![](https://i.ytimg.com/vi/LWPzHlSBlxI/hqdefault.jpg?sqp=-oaymwExCOADEI4CSFryq4qpAyMIARUAAIhCGAHwAQH4Af4JgALQBYoCDAgAEAEYYiBiKGIwDw==&rs=AOn4CLArqhLFosdVBck6I37fsECOKCE-kw) 62 lessons](https://www.youtube.com/watch?v=LWPzHlSBlxI&list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m) ### [Calculus I (Limits, Derivative, Integrals) \\Full Course\\](https://www.youtube.com/watch?v=LWPzHlSBlxI&list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m) [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) • [Course](https://www.youtube.com/@DrTrefor) [View full course](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m) [![](https://i.ytimg.com/vi/i4c8n4S-Sp0/hqdefault.jpg?sqp=-oaymwEXCOADEI4CSFryq4qpAwkIARUAAIhCGAE=&rs=AOn4CLDVTVmkHJUVqrvuiG2NPSp6yGCw8A) 52 lessons](https://www.youtube.com/watch?v=i4c8n4S-Sp0&list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n) ### [Calculus II (Integration Methods, Series, Parametric/Polar, Vectors) \\Full Course\\](https://www.youtube.com/watch?v=i4c8n4S-Sp0&list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n) [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) • [Course](https://www.youtube.com/@DrTrefor) [View full course](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n) [![](https://i.ytimg.com/vi/gsUgDpGWk-M/hqdefault.jpg?sqp=-oaymwEXCOADEI4CSFryq4qpAwkIARUAAIhCGAE=&rs=AOn4CLCtoqJ2H_uPzfPcDFzVwGCBWjq6-g) 33 lessons](https://www.youtube.com/watch?v=gsUgDpGWk-M&list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd) ### [Calculus III: Multivariable Calculus (Vectors, Curves, Partial Derivatives, Multiple Integrals, Optimization, etc) \\Full Course \\](https://www.youtube.com/watch?v=gsUgDpGWk-M&list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd) [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) • [Course](https://www.youtube.com/@DrTrefor) [View full course](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd) [![](https://i.ytimg.com/vi/AIxiYG-gZ00/hqdefault.jpg?sqp=-oaymwEXCOADEI4CSFryq4qpAwkIARUAAIhCGAE=&rs=AOn4CLDr8pQLHAMOGlOjXrTgeToHSNtPuw) 39 lessons](https://www.youtube.com/watch?v=AIxiYG-gZ00&list=PLHXZ9OQGMqxfW0GMqeUE1bLKaYor6kbHa) ### [Calculus IV: Vector Calculus (Line Integrals, Surface Integrals, Vector Fields, Greens' Thm, Divergence Thm, Stokes Thm, etc) \\Full Course\\](https://www.youtube.com/watch?v=AIxiYG-gZ00&list=PLHXZ9OQGMqxfW0GMqeUE1bLKaYor6kbHa) [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) • [Course](https://www.youtube.com/@DrTrefor) [View full course](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfW0GMqeUE1bLKaYor6kbHa) ## [![]()](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS "Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)") [Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS) [Play all](https://www.youtube.com/watch?v=rdXw7Ps9vxc&list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS) A one-semester course on Discrete Math taught by Dr. Trefor Bazett Covers: Logical Statements, Logical Operations, Truth Tables, Sets, Functions, Relations, Proof Methods such as Contrapositive, Contradiction and Induction, and Probability. [![true](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 5:59 5:59 Now playing](https://www.youtube.com/watch?v=rdXw7Ps9vxc) [![]()]() ### [Intro to Discrete Math - Welcome to the Course\!](https://www.youtube.com/watch?v=rdXw7Ps9vxc "Intro to Discrete Math - Welcome to the Course!") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) Dr. Trefor Bazett 732K views8 years ago [![true](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 7:12 7:12 Now playing](https://www.youtube.com/watch?v=B1v2-nGXNzs) [![]()]() ### [Intro to Sets \\| Examples, Notation & Properties](https://www.youtube.com/watch?v=B1v2-nGXNzs "Intro to Sets \| Examples, Notation & Properties") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) Dr. Trefor Bazett 323K views8 years ago [![true](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 5:15 5:15 Now playing](https://www.youtube.com/watch?v=aTlR03t1dTQ) [![]()]() ### [Set-Roster vs Set-Builder notation](https://www.youtube.com/watch?v=aTlR03t1dTQ "Set-Roster vs Set-Builder notation") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) Dr. Trefor Bazett 180K views8 years ago [![true](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 4:07 4:07 Now playing](https://www.youtube.com/watch?v=GqvX4Fi0jbM) [![]()]() ### [The Empty Set & Vacuous Truth](https://www.youtube.com/watch?v=GqvX4Fi0jbM "The Empty Set & Vacuous Truth") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) Dr. Trefor Bazett 140K views7 years ago [![true](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 7:10 7:10 Now playing](https://www.youtube.com/watch?v=ufjEv-5nmcA) [![]()]() ### [Cartesian Product of Two Sets A x B](https://www.youtube.com/watch?v=ufjEv-5nmcA "Cartesian Product of Two Sets A x B") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) Dr. Trefor Bazett 218K views8 years ago [![true]() 6:39 6:39 Now playing](https://www.youtube.com/watch?v=0dzNlrNJYdc) [![]()]() ### [Relations between two sets \\| Definition + First Examples](https://www.youtube.com/watch?v=0dzNlrNJYdc "Relations between two sets \| Definition + First Examples") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) Dr. Trefor Bazett 146K views8 years ago ## [![]()](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6 "Linear Algebra (Full Course)") [Linear Algebra (Full Course)](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6) [Play all](https://www.youtube.com/watch?v=ZKUqtErZCiU&list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6) A one semester, introductory course in Linear Algebra. Emphasizes both conceptual understanding and procedural fluency in applying the techniques of Linear Algebra. Major topics are solving linear systems, linear transformations, linear independence, bases, dimension, eigenvalues and eigenvectors, diagonalization, orthogonality and Gram-Schmidt [![true](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 12:58 12:58 Now playing](https://www.youtube.com/watch?v=ZKUqtErZCiU) [![]()]() ### [What's the big idea of Linear Algebra? \\Course Intro\\](https://www.youtube.com/watch?v=ZKUqtErZCiU "What's the big idea of Linear Algebra? Course Intro") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) Dr. Trefor Bazett 501K views7 years ago [![true](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 5:28 5:28 Now playing](https://www.youtube.com/watch?v=H8MiZMJr1kQ) [![]()]() ### [What is a Solution to a Linear System? \\Intro\\](https://www.youtube.com/watch?v=H8MiZMJr1kQ "What is a Solution to a Linear System? Intro") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) Dr. Trefor Bazett 121K views7 years ago [![true](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 8:19 8:19 Now playing](https://www.youtube.com/watch?v=qKyturOAD60) [![]()]() ### [Visualizing Solutions to Linear Systems - - 2D & 3D Cases Geometrically](https://www.youtube.com/watch?v=qKyturOAD60 "Visualizing Solutions to Linear Systems - - 2D & 3D Cases Geometrically") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) Dr. Trefor Bazett 92K views7 years ago [![true](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 3:10 3:10 Now playing](https://www.youtube.com/watch?v=ghSkNXB08ds) [![]()]() ### [Rewriting a Linear System using Matrix Notation](https://www.youtube.com/watch?v=ghSkNXB08ds "Rewriting a Linear System using Matrix Notation") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) Dr. Trefor Bazett 87K views8 years ago [![true](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 7:27 7:27 Now playing](https://www.youtube.com/watch?v=MbmZk-x2FFs&pp=0gcJCYcKAYcqIYzv) [![]()]() ### [Using Elementary Row Operations to Solve Systems of Linear Equations](https://www.youtube.com/watch?v=MbmZk-x2FFs&pp=0gcJCYcKAYcqIYzv "Using Elementary Row Operations to Solve Systems of Linear Equations") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) Dr. Trefor Bazett 103K views8 years ago [![true]() 9:35 9:35 Now playing](https://www.youtube.com/watch?v=B7XtnvNwEPA) [![]()]() ### [Using Elementary Row Operations to simplify a linear system](https://www.youtube.com/watch?v=B7XtnvNwEPA "Using Elementary Row Operations to simplify a linear system") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) Dr. Trefor Bazett 65K views8 years ago ## [![]()]("Differential Equations Playlists") [Differential Equations Playlists](https://www.youtube.com/c/drtreforbazett) [![](https://i.ytimg.com/vi/B5IjsTONKkw/hqdefault.jpg?sqp=-oaymwEXCOADEI4CSFryq4qpAwkIARUAAIhCGAE=&rs=AOn4CLB3yquL0GNMhtgbZcG-_AEmbwBQHA) 25 lessons](https://www.youtube.com/watch?v=B5IjsTONKkw&list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw) ### [Ordinary Differential Equations (ODEs)](https://www.youtube.com/watch?v=B5IjsTONKkw&list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw) [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) • [Course](https://www.youtube.com/@DrTrefor) [View full course](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw) [![](https://i.ytimg.com/vi/KqokoYr_h1A/hqdefault.jpg?sqp=-oaymwEXCOADEI4CSFryq4qpAwkIARUAAIhCGAE=&rs=AOn4CLC6N9SRKjheeCfpIgqkrPT8G0zXhA) 12 lessons](https://www.youtube.com/watch?v=KqokoYr_h1A&list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1) ### [Laplace Transforms and Solving ODEs](https://www.youtube.com/watch?v=KqokoYr_h1A&list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1) [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) • [Course](https://www.youtube.com/@DrTrefor) [View full course](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1) [![](https://i.ytimg.com/vi/wmCIrpLBFds/hqdefault.jpg?sqp=-oaymwEXCOADEI4CSFryq4qpAwkIARUAAIhCGAE=&rs=AOn4CLCz_CnAlcUE9zNjTGELkvdbVmOEag) 5 lessons](https://www.youtube.com/watch?v=wmCIrpLBFds&list=PLHXZ9OQGMqxdhXcPyNciLdpvfmAjS82hR) ### [Fourier Series](https://www.youtube.com/watch?v=wmCIrpLBFds&list=PLHXZ9OQGMqxdhXcPyNciLdpvfmAjS82hR) [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) • [Course](https://www.youtube.com/@DrTrefor) [View full course](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxdhXcPyNciLdpvfmAjS82hR) Our members Thank you, channel members\! ![](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) ![](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) ![](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) ![](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) ![](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) ![](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) ![](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) ![](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) Join ## [![]()](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho "Cool Math Series") [Cool Math Series](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho) [Play all](https://www.youtube.com/watch?v=qHnXE_h5c2M&list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho) This series is just for fun, not for one of my courses! It contains cool bits of math that are accessible to a wide audience, not just those with lots of technical sophistication. [![true](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 9:11 9:11 Now playing](https://www.youtube.com/watch?v=qHnXE_h5c2M) [![]()]() ### [What is cos( cos( cos( cos( cos( cos( cos( cos( cos( cos( cos( cos(…?? // Banach Fixed Point Theorem](https://www.youtube.com/watch?v=qHnXE_h5c2M "What is cos( cos( cos( cos( cos( cos( cos( cos( cos( cos( cos( cos(…?? // Banach Fixed Point Theorem") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) Dr. Trefor Bazett 726K views4 years ago [![true](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 17:09 17:09 Now playing](https://www.youtube.com/watch?v=pSgf9mJXn9o) [![]()]() ### [Untangling the beautiful math of KNOTS](https://www.youtube.com/watch?v=pSgf9mJXn9o "Untangling the beautiful math of KNOTS") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) Dr. Trefor Bazett 70K views3 years ago [![true](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 12:31 12:31 Now playing](https://www.youtube.com/watch?v=fl5fOAYY-1s) [![]()]() ### [Weird notions of "distance" \\|\\| Intro to Metric Spaces](https://www.youtube.com/watch?v=fl5fOAYY-1s "Weird notions of \"distance\" \|\| Intro to Metric Spaces") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) Dr. Trefor Bazett 105K views3 years ago [![true](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 15:28 15:28 Now playing](https://www.youtube.com/watch?v=yoGJKW2CjVA) [![]()]() ### [The Beautiful Story of Non-Euclidean Geometry](https://www.youtube.com/watch?v=yoGJKW2CjVA "The Beautiful Story of Non-Euclidean Geometry") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) Dr. Trefor Bazett 105K views3 years ago [![true](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 13:00 13:00 Now playing](https://www.youtube.com/watch?v=JsUI40uSOTU) [![]()]() ### [Stirling's Incredible Approximation // Gamma Functions, Gaussians, and Laplace's Method](https://www.youtube.com/watch?v=JsUI40uSOTU "Stirling's Incredible Approximation // Gamma Functions, Gaussians, and Laplace's Method") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) Dr. Trefor Bazett 145K views4 years ago [![true]() 15:35 15:35 Now playing](https://www.youtube.com/watch?v=Qrp40ck3WpI) [![]()]() ### [The MATH of Pandemics \\| Intro to the SIR Model](https://www.youtube.com/watch?v=Qrp40ck3WpI "The MATH of Pandemics \| Intro to the SIR Model") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) Dr. Trefor Bazett 321K views5 years ago CC ## [![]()](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxcWWkx2DMnQmj5os2X5ZR73 "LaTeX Tutorials") [LaTeX Tutorials](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxcWWkx2DMnQmj5os2X5ZR73) [Play all](https://www.youtube.com/watch?v=Jp0lPj2-DQA&list=PLHXZ9OQGMqxcWWkx2DMnQmj5os2X5ZR73) Learn to write beautiful mathematics documents with LaTeX. This playlist of tutorials takes you from a complete beginner all the way up to an elite LaTeX master:D An excellent platform to learn and author LaTeX is Overleaf.com which is the sponsor for all but the first videos in this series. [![true](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 19:09 19:09 Now playing](https://www.youtube.com/watch?v=Jp0lPj2-DQA) [![]()]() ### [Intro to LaTeX : Learn to write beautiful math equations \\|\\| Part 1](https://www.youtube.com/watch?v=Jp0lPj2-DQA "Intro to LaTeX : Learn to write beautiful math equations \|\| Part 1") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) Dr. Trefor Bazett 1\.4M views5 years ago [![true](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 30:35 30:35 Now playing](https://www.youtube.com/watch?v=-HvRvBjBAvg) [![]()]() ### [Intro to LaTeX \\Full Tutorial\\ Part II (Equations, Tables, Figures, Theorems, Macros and more)](https://www.youtube.com/watch?v=-HvRvBjBAvg "Intro to LaTeX Full Tutorial Part II (Equations, Tables, Figures, Theorems, Macros and more)") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) Dr. Trefor Bazett 299K views4 years ago CC [![true](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 30:58 30:58 Now playing](https://www.youtube.com/watch?v=zqQM66uAig0) [![]()]() ### [How to write a thesis using LaTeX \\full tutorial\\](https://www.youtube.com/watch?v=zqQM66uAig0 "How to write a thesis using LaTeX full tutorial") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) Dr. Trefor Bazett 894K views4 years ago CC [![true](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 17:10 17:10 Now playing](https://www.youtube.com/watch?v=7B7ytLrMTa0) [![]()]() ### [How to make your LaTeX documents BEAUTIFUL // LaTeX Tutorial](https://www.youtube.com/watch?v=7B7ytLrMTa0 "How to make your LaTeX documents BEAUTIFUL // LaTeX Tutorial") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) Dr. Trefor Bazett 131K views2 years ago [![true](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 24:16 24:16 Now playing](https://www.youtube.com/watch?v=bQugbYq0BVA) [![]()]() ### [How to make beautiful math graphics using Tikz & LaTeX](https://www.youtube.com/watch?v=bQugbYq0BVA "How to make beautiful math graphics using Tikz & LaTeX") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) Dr. Trefor Bazett 201K views3 years ago CC [![true]() 28:46 28:46 Now playing](https://www.youtube.com/watch?v=5jmIHOWpEg0&pp=0gcJCYcKAYcqIYzv) [![]()]() ### [How I make beautiful GRAPHS and PLOTS using LaTeX](https://www.youtube.com/watch?v=5jmIHOWpEg0&pp=0gcJCYcKAYcqIYzv "How I make beautiful GRAPHS and PLOTS using LaTeX") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) Dr. Trefor Bazett 567K views3 years ago CC ## [![]()](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw "Learning Math Advice") [Learning Math Advice](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw) [Play all](https://www.youtube.com/watch?v=aLPhBVkhE6I&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw&pp=0gcJCS8EgXWwhyeT) Learning how to learn mathematics effectively is crucial for success. We can't just passively watch videos online and expect to get easy As. In this playlist, I share several tips and tricks on how to be effective in your mathematics learning. [![true](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 12:52 12:52 Now playing](https://www.youtube.com/watch?v=aLPhBVkhE6I&pp=0gcJCYcKAYcqIYzv) [![]()]() ### [My STUDY ROUTINE as a Math Prof // My top study tips](https://www.youtube.com/watch?v=aLPhBVkhE6I&pp=0gcJCYcKAYcqIYzv "My STUDY ROUTINE as a Math Prof // My top study tips") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) Dr. Trefor Bazett 96K views5 years ago [![true](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 12:57 12:57 Now playing](https://www.youtube.com/watch?v=uytSwU3DJQY) [![]()]() ### [How to LEARN effectively \\| Five evidence-based tips](https://www.youtube.com/watch?v=uytSwU3DJQY "How to LEARN effectively \| Five evidence-based tips") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) Dr. Trefor Bazett 49K views6 years ago [![true](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 8:03 8:03 Now playing](https://www.youtube.com/watch?v=B5kJ2XH3V0M) [![]()]() ### [How to Succeed in Online Courses](https://www.youtube.com/watch?v=B5kJ2XH3V0M "How to Succeed in Online Courses") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) Dr. Trefor Bazett 28K views7 years ago [![true](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 6:36 6:36 Now playing](https://www.youtube.com/watch?v=LPH2lqis3D0) [![]()]() ### [5 Tips To Make Math Practice Problems Actually Effective](https://www.youtube.com/watch?v=LPH2lqis3D0 "5 Tips To Make Math Practice Problems Actually Effective") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) Dr. Trefor Bazett 22K views7 years ago [![true](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 15:07 15:07 Now playing](https://www.youtube.com/watch?v=-6b-tQEBUT8) [![]()]() ### [9 tips to help you PROVE MATH THEOREMS](https://www.youtube.com/watch?v=-6b-tQEBUT8 "9 tips to help you PROVE MATH THEOREMS") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) Dr. Trefor Bazett 155K views5 years ago [![true]() 9:10 9:10 Now playing](https://www.youtube.com/watch?v=Ljq5y3ksk8o) [![]()]() ### [How to watch math videos](https://www.youtube.com/watch?v=Ljq5y3ksk8o "How to watch math videos") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) Dr. Trefor Bazett 23K views8 years ago ## [![]()](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxdzD8KpTHz6_gsw9pPxRFlX "Game Theory") [Game Theory](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxdzD8KpTHz6_gsw9pPxRFlX) [Play all](https://www.youtube.com/watch?v=qSDyvqxGWGc&list=PLHXZ9OQGMqxdzD8KpTHz6_gsw9pPxRFlX) This series is an introduction to Game Theory. This incredibly powerful field of math has applications everywhere in economics, biology, political science and so many other places. We will start at the beginning with the basics ideas and build up to a sophisticated understanding. [![true](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 10:45 10:45 Now playing](https://www.youtube.com/watch?v=qSDyvqxGWGc) [![]()]() ### [THE PRISONER'S DILEMMA // Intro to Game Theory // Episode 1](https://www.youtube.com/watch?v=qSDyvqxGWGc "THE PRISONER'S DILEMMA // Intro to Game Theory // Episode 1") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) Dr. Trefor Bazett 29K views4 years ago [![true](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 13:07 13:07 Now playing](https://www.youtube.com/watch?v=TVlf43FmuPY) [![]()]() ### [Normal Form Games // Intro to Game Theory // Episode 2](https://www.youtube.com/watch?v=TVlf43FmuPY "Normal Form Games // Intro to Game Theory // Episode 2") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) Dr. Trefor Bazett 18K views4 years ago [![true](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 14:19 14:19 Now playing](https://www.youtube.com/watch?v=d7J8XLGFQyQ) [![]()]() ### [How to find DOMINATING STRATEGIES with Game Theory](https://www.youtube.com/watch?v=d7J8XLGFQyQ "How to find DOMINATING STRATEGIES with Game Theory") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) Dr. Trefor Bazett 22K views4 years ago [![true](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 12:33 12:33 Now playing](https://www.youtube.com/watch?v=u6-DdyN30cA) [![]()]() ### [The Mathematics of Trust // How Game Theory Explains Cooperation](https://www.youtube.com/watch?v=u6-DdyN30cA "The Mathematics of Trust // How Game Theory Explains Cooperation") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) Dr. Trefor Bazett 17K views4 years ago [![true](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) 16:35 16:35 Now playing](https://www.youtube.com/watch?v=0AOLtbsJ-Go) [![]()]() ### [Nash Equilibriums // How to use Game Theory to render your opponents indifferent](https://www.youtube.com/watch?v=0AOLtbsJ-Go "Nash Equilibriums // How to use Game Theory to render your opponents indifferent") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) Dr. Trefor Bazett 19K views4 years ago [![true]() 20:18 20:18 Now playing](https://www.youtube.com/watch?v=Ur3Vf_ibHD0) [![]()]() ### [The Evolution of Cooperation // Iterated Prisoner's Dilemma](https://www.youtube.com/watch?v=Ur3Vf_ibHD0 "The Evolution of Cooperation // Iterated Prisoner's Dilemma") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) Dr. Trefor Bazett 16K views4 years ago ![]() ## Shorts [![](https://i.ytimg.com/vi/Exl1WQ8sGkg/oar2.jpg?sqp=-oaymwEkCJUDENAFSFqQAgHyq4qpAxMIARUAAAAAJQAAyEI9AICiQ3gB&rs=AOn4CLCK7TrmQQ0sTF9WgKhGFCCQVumOog&usqp=CCk)](https://www.youtube.com/shorts/Exl1WQ8sGkg) ### [Visualizing a 4D Sphere](https://www.youtube.com/shorts/Exl1WQ8sGkg "Visualizing a 4D Sphere") 40K views [![](https://i.ytimg.com/vi/rPjPjKPnk1c/oar2.jpg?sqp=-oaymwEkCJUDENAFSFqQAgHyq4qpAxMIARUAAAAAJQAAyEI9AICiQ3gB&rs=AOn4CLDmEyZaaAnkCBJU1_DflO2wBqIpkQ&usqp=CCk)](https://www.youtube.com/shorts/rPjPjKPnk1c) ### [Strange Attractors](https://www.youtube.com/shorts/rPjPjKPnk1c "Strange Attractors") 279K views [![](https://i.ytimg.com/vi/FYgrDtFyNt4/oardefault.jpg?usqp=CCk)](https://www.youtube.com/shorts/FYgrDtFyNt4) ### [The best way to stack blocks](https://www.youtube.com/shorts/FYgrDtFyNt4 "The best way to stack blocks") 336K views [![](https://i.ytimg.com/vi/HlXM4cNJsxc/oardefault.jpg?usqp=CCk)](https://www.youtube.com/shorts/HlXM4cNJsxc) ### [An infinite block overhang?](https://www.youtube.com/shorts/HlXM4cNJsxc "An infinite block overhang?") 6\.3M views [![](https://i.ytimg.com/vi/RyVpm6DQJYc/oardefault.jpg?usqp=CCk)](https://www.youtube.com/shorts/RyVpm6DQJYc) ### [This pattern appears everywhere in nature // Voronoi Cells](https://www.youtube.com/shorts/RyVpm6DQJYc "This pattern appears everywhere in nature // Voronoi Cells") 597K views [![]()](https://www.youtube.com/shorts/0pWW0maO3jA) ### [The Mobius Strip Bubble](https://www.youtube.com/shorts/0pWW0maO3jA "The Mobius Strip Bubble") 246K views ## [![]()](https://www.youtube.com/channel/UC9rTsvTxJnx1DNrDA3Rqa6A/posts "Posts") [Posts](https://www.youtube.com/channel/UC9rTsvTxJnx1DNrDA3Rqa6A/posts) [![Dr. Trefor Bazett](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=)](https://www.youtube.com/@DrTrefor) [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) • [11 months ago](https://www.youtube.com/post/UgkxICVPG8hdPxE9RyJOefQPfmRjH6kbxZHu) When learning something new like a math topic, do you tend to go to YouTube first or ChatGPT first? I'd love to hear your thoughts in the comments (I'm doing a talk on AI use in math education next week, wanting some context from you all). Of course I'm sampling from people currently on YouTube who presumably follow me for my math explainers so a highly biased sample!! Still, I'm curious. When learning something new like a math topic, do you tend to go to YouTube first or ChatGPT first? I'd love to hear your thoughts in the comments (I'm doing a talk on AI use in math education next week, wanting some context from you all). Of course I'm sampling from people currently on YouTube who presumably follow me for my math explainers so a highly biased sample!! Still, I'm curious. 2\.8K votes [Vote now](https://www.youtube.com/post/UgkxICVPG8hdPxE9RyJOefQPfmRjH6kbxZHu) 2\.8K votes [Watching a video explainer on YouTube](https://accounts.google.com/ServiceLogin?service=youtube&uilel=3&passive=true&continue=https%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Ddesktop%26hl%3Den%26next%3D%252Fchannel%252FUC9rTsvTxJnx1DNrDA3Rqa6A%252Fposts&hl=en) [Asking ChatGPT or other LLM](https://accounts.google.com/ServiceLogin?service=youtube&uilel=3&passive=true&continue=https%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Ddesktop%26hl%3Den%26next%3D%252Fchannel%252FUC9rTsvTxJnx1DNrDA3Rqa6A%252Fposts&hl=en) 87 Like 87 Dislike Share [104](https://accounts.google.com/ServiceLogin?service=youtube&uilel=3&passive=true&continue=https%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Ddesktop%26hl%3Den%26next%3D%252Fpost%252FUgkxICVPG8hdPxE9RyJOefQPfmRjH6kbxZHu&hl=en) Comment [![Dr. Trefor Bazett](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=)](https://www.youtube.com/@DrTrefor) [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) • [1 year ago](https://www.youtube.com/post/Ugkx4NJbcmZDbgMja2kgXSY3DHrDjQWRAPiL) Let's answer this once and for all. Math is... Let's answer this once and for all. Math is... 6K votes [Vote now](https://www.youtube.com/post/Ugkx4NJbcmZDbgMja2kgXSY3DHrDjQWRAPiL) 6K votes [Discovered](https://accounts.google.com/ServiceLogin?service=youtube&uilel=3&passive=true&continue=https%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Ddesktop%26hl%3Den%26next%3D%252Fchannel%252FUC9rTsvTxJnx1DNrDA3Rqa6A%252Fposts&hl=en) [Invented](https://accounts.google.com/ServiceLogin?service=youtube&uilel=3&passive=true&continue=https%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Ddesktop%26hl%3Den%26next%3D%252Fchannel%252FUC9rTsvTxJnx1DNrDA3Rqa6A%252Fposts&hl=en) 203 Like 203 Dislike Share [106](https://accounts.google.com/ServiceLogin?service=youtube&uilel=3&passive=true&continue=https%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Ddesktop%26hl%3Den%26next%3D%252Fpost%252FUgkx4NJbcmZDbgMja2kgXSY3DHrDjQWRAPiL&hl=en) Comment [![]()](https://www.youtube.com/@DrTrefor) [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) • [1 year ago](https://www.youtube.com/post/UgkxXrc6KWyOuGSKpfjyznld75wP-GeKtPJz) What is your favorite math equation??? There are so many beautiful equations in math, but I'm curious what you think the most beautiful ones are? Euler's formula is often cited, combining 5 special numbers e, pi, i, 1, 0, but my next video is about another equation due to Euler that I think I like even more (channel members can watch now!). What is your favorite math equation??? There are so many beautiful equations in math, but I'm curious what you think the most beautiful ones are? Euler's formula is often cited, combining 5 special numbers e, pi, i, 1, 0, but my next video is about another equation due to Euler that I think I like even more (channel members can watch now!). ![]() 298 Like 298 Dislike Share [62](https://accounts.google.com/ServiceLogin?service=youtube&uilel=3&passive=true&continue=https%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Ddesktop%26hl%3Den%26next%3D%252Fpost%252FUgkxXrc6KWyOuGSKpfjyznld75wP-GeKtPJz&hl=en) Comment [![]()](https://www.youtube.com/@DrTrefor) [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) • [1 year ago (edited)](https://www.youtube.com/post/UgkxPGE40kanq2vLAjVeQF3NKYsrtbI_IkaO) Hey all, update that the company I've been working with on merch is closing down. I started working with Beautiful Equations a couple years ago, and while there are lots of merch companies out there I liked that this one was trying to really focus on promoting mathematics and so I was happy to partner with them. Anyone who ordered merch is getting/already gotten their merch, but there isn't new sales and there will be some dead links in my video description or a while until I get them all removed - thanks for your understanding:) To anyone who ordered something over the years, thank you! You are amazing:) It was never a significant amount of money (and honestly I did a bad job promoting it, I almost never actually mentioned it in a video) so I'm not in any particular rush to do it again with a new company, but who knows, there might be new math merch in the future:D Hey all, update that the company I've been working with on merch is closing down. I started working with Beautiful Equations a couple years ago, and while there are lots of merch companies out there I liked that this one was trying to really focus on promoting mathematics and so I was happy to partner with them. Anyone who ordered merch is getting/already gotten their merch, but there isn't new sales and there will be some dead links in my video description or a while until I get them all removed - thanks for your understanding:) To anyone who ordered something over the years, thank you! You are amazing:) It was never a significant amount of money (and honestly I did a bad job promoting it, I almost never actually mentioned it in a video) so I'm not in any particular rush to do it again with a new company, but who knows, there might be new math merch in the future:D 322 Like 322 Dislike Share [7](https://accounts.google.com/ServiceLogin?service=youtube&uilel=3&passive=true&continue=https%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Ddesktop%26hl%3Den%26next%3D%252Fpost%252FUgkxPGE40kanq2vLAjVeQF3NKYsrtbI_IkaO&hl=en) Comment [![]()](https://www.youtube.com/@DrTrefor) [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) • [2 years ago](https://www.youtube.com/post/Ugkx1utLKIwLm2akEaooJhNDb0zZVC_PHbPT) Every year around this time my YouTube analytics goes nuts - I can see you all studying like crazy for your exams! So for anyone writing in December, good luck:) You got this\! Every year around this time my YouTube analytics goes nuts - I can see you all studying like crazy for your exams! So for anyone writing in December, good luck:) You got this\! 751 Like 751 Dislike Share [32](https://accounts.google.com/ServiceLogin?service=youtube&uilel=3&passive=true&continue=https%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Ddesktop%26hl%3Den%26next%3D%252Fpost%252FUgkx1utLKIwLm2akEaooJhNDb0zZVC_PHbPT&hl=en) Comment [![]()](https://www.youtube.com/@DrTrefor) [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) • [3 years ago (edited)](https://www.youtube.com/post/UgkxBBJTW_SKXLFlYBijj1_6KX0Db1Hq7rMf) Happy 2023 everyone! I want to take a minute to share my thoughts on where this little math channel went in 2022 and where I hope it goes in 2023! 2022 was my biggest year yet in analytics. 10+ million views and 100k+ additional subscribers - you are amazing! But it was mostly a big year as I changed my content strategy a lot. I used to primarily make videos intended for my online and flipped courses as a math professor, and most people would watch videos by search for a topic like "Laplace Transform" or whatever. However, this last year I switched to making videos about cool math topics I wanted to make for a more general audience of people interested in math. This worked out great! A few videos went "viral" (by my standards), and I just had a lot of fun sharing more than the standard topics from the undergrad curriculum. I also had a baby which made my video schedule pretty low the first four months, so I'm proud of how the year turned out! Ok so what's up for 2023? Well, mostly more of the same. I've set myself a new years resolution of releasing one high-quality math video I'm really proud of every two weeks, so hold me to that! I mostly intend these to be interesting one-off videos or mini-series that take us into a cool journey into a math topic, but will probably slip in some more standard course videos here and there as well. I have a lot of ideas I think are really interesting and am excited to share them all with you. To everyone who has supported me in this journey thank you. First and foremost to the members of this channel - you are amazing, truly (link: [https://www.youtube.com/channel/UC9rT...](https://www.youtube.com/channel/UC9rTsvTxJnx1DNrDA3Rqa6A). I'm a professor first, this is what consumes most of my working life. I love YouTube, I'm unbelievably passionate about YouTube, but I will always be a professor first which means that YouTube has to be squeezed in between my professional and family life. So the support of all of you whether helping me buy some much needed coffees as a member or just subscribing or sharing with your friends, you really make all the difference at having this channel be possible so thank you so much! Hope your 2023 is amazing! -Trefor Happy 2023 everyone! I want to take a minute to share my thoughts on where this little math channel went in 2022 and where I hope it goes in 2023! 2022 was my biggest year yet in analytics. 10+ million views and 100k+ additional subscribers - you are amazing! But it was mostly a big year as I changed my content strategy a lot. I used to primarily make videos intended for my online and flipped courses as a math professor, and most people would watch videos by search for a topic like "Laplace Transform" or whatever. However, this last year I switched to making videos about cool math topics I wanted to make for a more general audience of people interested in math. This worked out great! A few videos went "viral" (by my standards), and I just had a lot of fun sharing more than the standard topics from the undergrad curriculum. I also had a baby which made my video schedule pretty low the first four months, so I'm proud of how the year turned out! Ok so what's up for 2023? Well, mostly more of the same. I've set myself a new years resolution of releasing one high-quality math video I'm really proud of every two weeks, so hold me to that! I mostly intend these to be interesting one-off videos or mini-series that take us into a cool journey into a math topic, but will probably slip in some more standard course videos here and there as well. I have a lot of ideas I think are really interesting and am excited to share them all with you. To everyone who has supported me in this journey thank you. First and foremost to the members of this channel - you are amazing, truly (link: [https://www.youtube.com/channel/UC9rT...](https://www.youtube.com/channel/UC9rTsvTxJnx1DNrDA3Rqa6A). I'm a professor first, this is what consumes most of my working life. I love YouTube, I'm unbelievably passionate about YouTube, but I will always be a professor first which means that YouTube has to be squeezed in between my professional and family life. So the support of all of you whether helping me buy some much needed coffees as a member or just subscribing or sharing with your friends, you really make all the difference at having this channel be possible so thank you so much! Hope your 2023 is amazing! -Trefor 351 Like 351 Dislike Share [21](https://accounts.google.com/ServiceLogin?service=youtube&uilel=3&passive=true&continue=https%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Ddesktop%26hl%3Den%26next%3D%252Fpost%252FUgkxBBJTW_SKXLFlYBijj1_6KX0Db1Hq7rMf&hl=en) Comment Tap to unmute 2x [![]()]() You're signed out Videos you watch may be added to the TV's watch history and influence TV recommendations. To avoid this, cancel and sign in to YouTube on your computer. Cancel Confirm Search Info Shopping ![]() [![]()]() If playback doesn't begin shortly, try restarting your device. • Share Include playlist An error occurred while retrieving sharing information. Please try again later. Watch later Share Copy link ![]() 0:00 / Live •Watch full video • • # # ### ### NaN / NaN
Readable Markdown	[What are the big ideas of Multivariable Calculus?? Full Course Intro](https://www.youtube.com/watch?v=gsUgDpGWk-M) 0:02 / 16:49 •Watch full video [What are the big ideas of Multivariable Calculus?? Full Course Intro](https://www.youtube.com/watch?v=gsUgDpGWk-M&pp=0gcJCeoZAYcqIYzv) 595,599 views 5 years ago Welcome to Calculus III: Multivariable Calculus. This playlist covers a full one semester Calc III courses. In this introduction, I do a visual overview of the big ideas we will see in this course. ►Full Multivariable Calculus Playlist: [https://www.youtube.com/playlist?list...](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd) Topics: Visualizing multivariable functions (both surfaces and curves) Tangent lines to curves Curvature and the Frenet Frame Multivariable Limits Partial Derivatives, Directional Derivatives, and Tangent planes Optimization and Lagrange Multipliers Volume under a Surface Spherical Coordinates And much more!! ♡♡♡SUPPORT THE CHANNEL♡♡♡ ►Support on PATREON: [https://patreon.com/DrTrefor](https://www.youtube.com/redirect?event=video_description&redir_token=QUFFLUhqbTdYOTUxUVk3R25vTHZyLUtIRmk2dm11bndhd3xBQ3Jtc0trTnF1cDNpTjFJcDJJNWdVdUFLekZIeC05ZHNXREVmblZvRFRyTG5OUjBlWlAyQlhqejlOdHdzaWI4aGZ2R2hwTkMweWFLZEVDN0NvTU1CTjlSdkxSbUt4b1BYZ0pVcEU3MGl3cnA3SFNrZ0dpWXBPSQ&q=https%3A%2F%2Fpatreon.com%2FDrTrefor) ►MATH BOOKS I LOVE (affiliate link): [https://www.amazon.com/shop/treforbazett](https://www.youtube.com/redirect?event=video_description&redir_token=QUFFLUhqbENKM2hrdUdPS25HM3Z4SVZxTnE4dTVjNmZUZ3xBQ3Jtc0ttMUw0MS1yNHpUU2RyVnY3b1U3aHVIaFgxV3V0ZFk1OThWRzNGc1JtSEI1SWh4aDZPQkZhcVNsdGdxNHhuaDRnU2duM2U3UHRUT3JldHBBaHRFT1cxNFFSVUs4OWNPNmgteU1GQWp2UEdOSXQ4ZHFXbw&q=https%3A%2F%2Fwww.amazon.com%2Fshop%2Ftreforbazett) ►CURIOSITY BOX: [https://www.CuriosityBox.com/DrTrefor](https://www.youtube.com/redirect?event=video_description&redir_token=QUFFLUhqblZISFlodHdkeVE4NTVDbmxETVFfUmpGOHdqd3xBQ3Jtc0trQzU0RDlPZENVVUs4d0ZpZWNlLU45N0tVRnIxQlNlYThFSTFzX3c0aEtfWDVnRUU1SDI0aXlfUWFTVDBCdlJLd09CUl9CQW0wck5NUHI0QUxKQWFKNXYwUVA3WlNyajEzTDNxSXBtck9hNWMzMzVqWQ&q=https%3A%2F%2Fwww.CuriosityBox.com%2FDrTrefor) use CODE drtrefor for 25% off awesome STEM merch boxes COURSE PLAYLISTS: ►DISCRETE MATH: [https://www.youtube.com/playlist?list...](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS) ►LINEAR ALGEBRA: [https://www.youtube.com/playlist?list...](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6) ►CALCULUS I: [https://www.youtube.com/playlist?list...](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m) ►CALCULUS II: [https://www.youtube.com/playlist?list...](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n) ►MULTIVARIABLE CALCULUS (Calc III): [https://www.youtube.com/playlist?list...](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd) ►VECTOR CALCULUS (Calc IV): [https://www.youtube.com/playlist?list...](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfW0GMqeUE1bLKaYor6kbHa) ►DIFFERENTIAL EQUATIONS: [https://www.youtube.com/playlist?list...](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw) ►LAPLACE TRANSFORM: [https://www.youtube.com/playlist?list...](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1) ►GAME THEORY: [https://www.youtube.com/playlist?list...](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxdzD8KpTHz6_gsw9pPxRFlX) OTHER PLAYLISTS: ►Cool Math Series: [https://www.youtube.com/playlist?list...](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho) ►Learning Math Series: [https://www.youtube.com/watch?v=LPH2l...](https://www.youtube.com/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw&index=1) ►LaTeX: [https://www.youtube.com/watch?v=-HvRv...](https://www.youtube.com/watch?v=-HvRvBjBAvg&list=PLHXZ9OQGMqxcWWkx2DMnQmj5os2X5ZR73&index=2) SOCIALS: ►X/Twitter: [http://X.com/treforbazett](https://www.youtube.com/redirect?event=video_description&redir_token=QUFFLUhqblJMSzVkQ3BuWDJXTDBPRUpvT1AzaXlMakJZd3xBQ3Jtc0tuNWlaYmp4NE9aOC1jNkduVXVNalVKQnFSUWE0c2YwWm0ybXI2SWRhM01PVXpZVEtWa2t5WTl1cDZxcjdfZVhncE8yVG9tcmt0anktMWtLbHpRM2s2UFZQMU5meG1HZmFWWTNyQTZuUWpXeXg5LWVjQQ&q=http%3A%2F%2FX.com%2Ftreforbazett) ►TikTok: [http://tiktok.com/@drtrefor](https://www.youtube.com/redirect?event=video_description&redir_token=QUFFLUhqa250MHkzTGpzU0kxTXFPTl9NUk5YM2hDRHdsZ3xBQ3Jtc0trZ2R5QlBSVG4yRE1kYlZMb08zMF9QZ3UxUEl5aklCWkVRNDltU3NBY2R1YjFtYXVmdU9lQ0l0QTdLSV8zemJsM0otNjJNRXc5ZDdUZF9UMVJGcE1wbGJtXzFSUFRfSFBqS29CdDNpdnJaUU9pdm1NOA&q=http%3A%2F%2Ftiktok.com%2F%40drtrefor) ►Instagram (photography based): [http://instagram.com/treforphotography](https://www.youtube.com/redirect?event=video_description&redir_token=QUFFLUhqbi1UdmdCeUt6QW9pbm1aUDBLTXdvZHhSZ2c1Z3xBQ3Jtc0ttdFNFVUprdTVEa3BwQWNyWTVKWlhsRVlsbExZRDlZdzg5ek5qNTdDa3RxRzUzS1FMTWJranJyRDlPUE1UdUt3R2JORDZKUUJXTWVCbEpPUXBIeW9VLXgtVXhaY0lPYXpPSmZBVlBKcU1FM2JoUzBHWQ&q=http%3A%2F%2Finstagram.com%2Ftreforphotography) [Read more](https://www.youtube.com/watch?v=gsUgDpGWk-M) ## [Full Calculus Courses: I, II, III, IV](https://www.youtube.com/c/drtreforbazett) ### [Calculus I (Limits, Derivative, Integrals) \\Full Course\\](https://www.youtube.com/watch?v=LWPzHlSBlxI&list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m) [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor)[Course](https://www.youtube.com/@DrTrefor) [View full course](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m) ### [Calculus II (Integration Methods, Series, Parametric/Polar, Vectors) \\Full Course\\](https://www.youtube.com/watch?v=i4c8n4S-Sp0&list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n) [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor)[Course](https://www.youtube.com/@DrTrefor) [View full course](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n) ### [Calculus III: Multivariable Calculus (Vectors, Curves, Partial Derivatives, Multiple Integrals, Optimization, etc) \\Full Course \\](https://www.youtube.com/watch?v=gsUgDpGWk-M&list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd) [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor)[Course](https://www.youtube.com/@DrTrefor) [View full course](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd) ### [Calculus IV: Vector Calculus (Line Integrals, Surface Integrals, Vector Fields, Greens' Thm, Divergence Thm, Stokes Thm, etc) \\Full Course\\](https://www.youtube.com/watch?v=AIxiYG-gZ00&list=PLHXZ9OQGMqxfW0GMqeUE1bLKaYor6kbHa) [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor)[Course](https://www.youtube.com/@DrTrefor) [View full course](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfW0GMqeUE1bLKaYor6kbHa) ## [Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS) [Play all](https://www.youtube.com/watch?v=rdXw7Ps9vxc&list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS) A one-semester course on Discrete Math taught by Dr. Trefor Bazett Covers: Logical Statements, Logical Operations, Truth Tables, Sets, Functions, Relations, Proof Methods such as Contrapositive, Contradiction and Induction, and Probability. ### [Intro to Discrete Math - Welcome to the Course\!](https://www.youtube.com/watch?v=rdXw7Ps9vxc "Intro to Discrete Math - Welcome to the Course!") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) 732K views8 years ago ### [Intro to Sets \\| Examples, Notation & Properties](https://www.youtube.com/watch?v=B1v2-nGXNzs "Intro to Sets \| Examples, Notation & Properties") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) 323K views8 years ago ### [Set-Roster vs Set-Builder notation](https://www.youtube.com/watch?v=aTlR03t1dTQ "Set-Roster vs Set-Builder notation") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) 180K views8 years ago ### [The Empty Set & Vacuous Truth](https://www.youtube.com/watch?v=GqvX4Fi0jbM "The Empty Set & Vacuous Truth") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) 140K views7 years ago ### [Cartesian Product of Two Sets A x B](https://www.youtube.com/watch?v=ufjEv-5nmcA "Cartesian Product of Two Sets A x B") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) 218K views8 years ago ### [Relations between two sets \\| Definition + First Examples](https://www.youtube.com/watch?v=0dzNlrNJYdc "Relations between two sets \| Definition + First Examples") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) 146K views8 years ago ## [Linear Algebra (Full Course)](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6) [Play all](https://www.youtube.com/watch?v=ZKUqtErZCiU&list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6) A one semester, introductory course in Linear Algebra. Emphasizes both conceptual understanding and procedural fluency in applying the techniques of Linear Algebra. Major topics are solving linear systems, linear transformations, linear independence, bases, dimension, eigenvalues and eigenvectors, diagonalization, orthogonality and Gram-Schmidt ### [What's the big idea of Linear Algebra? \\Course Intro\\](https://www.youtube.com/watch?v=ZKUqtErZCiU "What's the big idea of Linear Algebra? Course Intro") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) 501K views7 years ago ### [What is a Solution to a Linear System? \\Intro\\](https://www.youtube.com/watch?v=H8MiZMJr1kQ "What is a Solution to a Linear System? Intro") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) 121K views7 years ago ### [Visualizing Solutions to Linear Systems - - 2D & 3D Cases Geometrically](https://www.youtube.com/watch?v=qKyturOAD60 "Visualizing Solutions to Linear Systems - - 2D & 3D Cases Geometrically") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) 92K views7 years ago ### [Rewriting a Linear System using Matrix Notation](https://www.youtube.com/watch?v=ghSkNXB08ds "Rewriting a Linear System using Matrix Notation") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) 87K views8 years ago ### [Using Elementary Row Operations to Solve Systems of Linear Equations](https://www.youtube.com/watch?v=MbmZk-x2FFs&pp=0gcJCYcKAYcqIYzv "Using Elementary Row Operations to Solve Systems of Linear Equations") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) 103K views8 years ago ### [Using Elementary Row Operations to simplify a linear system](https://www.youtube.com/watch?v=B7XtnvNwEPA "Using Elementary Row Operations to simplify a linear system") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) 65K views8 years ago ## [Differential Equations Playlists](https://www.youtube.com/c/drtreforbazett) ### [Ordinary Differential Equations (ODEs)](https://www.youtube.com/watch?v=B5IjsTONKkw&list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw) [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor)[Course](https://www.youtube.com/@DrTrefor) [View full course](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw) ### [Laplace Transforms and Solving ODEs](https://www.youtube.com/watch?v=KqokoYr_h1A&list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1) [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor)[Course](https://www.youtube.com/@DrTrefor) [View full course](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1) ### [Fourier Series](https://www.youtube.com/watch?v=wmCIrpLBFds&list=PLHXZ9OQGMqxdhXcPyNciLdpvfmAjS82hR) [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor)[Course](https://www.youtube.com/@DrTrefor) [View full course](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxdhXcPyNciLdpvfmAjS82hR) Our membersThank you, channel members\! ![](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) ![](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) ![](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) ![](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) ![](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) ![](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) ![](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) ![](data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mN8XA8AAksBZG7LpHYAAAAASUVORK5CYII=) ## [Cool Math Series](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho) [Play all](https://www.youtube.com/watch?v=qHnXE_h5c2M&list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho) This series is just for fun, not for one of my courses! It contains cool bits of math that are accessible to a wide audience, not just those with lots of technical sophistication. ### [What is cos( cos( cos( cos( cos( cos( cos( cos( cos( cos( cos( cos(…?? // Banach Fixed Point Theorem](https://www.youtube.com/watch?v=qHnXE_h5c2M "What is cos( cos( cos( cos( cos( cos( cos( cos( cos( cos( cos( cos(…?? // Banach Fixed Point Theorem") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) 726K views4 years ago ### [Untangling the beautiful math of KNOTS](https://www.youtube.com/watch?v=pSgf9mJXn9o "Untangling the beautiful math of KNOTS") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) 70K views3 years ago ### [Weird notions of "distance" \\|\\| Intro to Metric Spaces](https://www.youtube.com/watch?v=fl5fOAYY-1s "Weird notions of \"distance\" \|\| Intro to Metric Spaces") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) 105K views3 years ago ### [The Beautiful Story of Non-Euclidean Geometry](https://www.youtube.com/watch?v=yoGJKW2CjVA "The Beautiful Story of Non-Euclidean Geometry") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) 105K views3 years ago ### [Stirling's Incredible Approximation // Gamma Functions, Gaussians, and Laplace's Method](https://www.youtube.com/watch?v=JsUI40uSOTU "Stirling's Incredible Approximation // Gamma Functions, Gaussians, and Laplace's Method") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) 145K views4 years ago ### [The MATH of Pandemics \\| Intro to the SIR Model](https://www.youtube.com/watch?v=Qrp40ck3WpI "The MATH of Pandemics \| Intro to the SIR Model") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) 321K views5 years ago CC ## [LaTeX Tutorials](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxcWWkx2DMnQmj5os2X5ZR73) [Play all](https://www.youtube.com/watch?v=Jp0lPj2-DQA&list=PLHXZ9OQGMqxcWWkx2DMnQmj5os2X5ZR73) Learn to write beautiful mathematics documents with LaTeX. This playlist of tutorials takes you from a complete beginner all the way up to an elite LaTeX master:D An excellent platform to learn and author LaTeX is Overleaf.com which is the sponsor for all but the first videos in this series. ### [Intro to LaTeX : Learn to write beautiful math equations \\|\\| Part 1](https://www.youtube.com/watch?v=Jp0lPj2-DQA "Intro to LaTeX : Learn to write beautiful math equations \|\| Part 1") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) 1\.4M views5 years ago ### [Intro to LaTeX \\Full Tutorial\\ Part II (Equations, Tables, Figures, Theorems, Macros and more)](https://www.youtube.com/watch?v=-HvRvBjBAvg "Intro to LaTeX Full Tutorial Part II (Equations, Tables, Figures, Theorems, Macros and more)") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) 299K views4 years ago CC ### [How to write a thesis using LaTeX \\full tutorial\\](https://www.youtube.com/watch?v=zqQM66uAig0 "How to write a thesis using LaTeX full tutorial") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) 894K views4 years ago CC ### [How to make your LaTeX documents BEAUTIFUL // LaTeX Tutorial](https://www.youtube.com/watch?v=7B7ytLrMTa0 "How to make your LaTeX documents BEAUTIFUL // LaTeX Tutorial") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) 131K views2 years ago ### [How to make beautiful math graphics using Tikz & LaTeX](https://www.youtube.com/watch?v=bQugbYq0BVA "How to make beautiful math graphics using Tikz & LaTeX") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) 201K views3 years ago CC ### [How I make beautiful GRAPHS and PLOTS using LaTeX](https://www.youtube.com/watch?v=5jmIHOWpEg0&pp=0gcJCYcKAYcqIYzv "How I make beautiful GRAPHS and PLOTS using LaTeX") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) 567K views3 years ago CC ## [Learning Math Advice](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw) [Play all](https://www.youtube.com/watch?v=aLPhBVkhE6I&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw&pp=0gcJCS8EgXWwhyeT) Learning how to learn mathematics effectively is crucial for success. We can't just passively watch videos online and expect to get easy As. In this playlist, I share several tips and tricks on how to be effective in your mathematics learning. ### [My STUDY ROUTINE as a Math Prof // My top study tips](https://www.youtube.com/watch?v=aLPhBVkhE6I&pp=0gcJCYcKAYcqIYzv "My STUDY ROUTINE as a Math Prof // My top study tips") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) 96K views5 years ago ### [How to LEARN effectively \\| Five evidence-based tips](https://www.youtube.com/watch?v=uytSwU3DJQY "How to LEARN effectively \| Five evidence-based tips") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) 49K views6 years ago ### [How to Succeed in Online Courses](https://www.youtube.com/watch?v=B5kJ2XH3V0M "How to Succeed in Online Courses") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) 28K views7 years ago ### [5 Tips To Make Math Practice Problems Actually Effective](https://www.youtube.com/watch?v=LPH2lqis3D0 "5 Tips To Make Math Practice Problems Actually Effective") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) 22K views7 years ago ### [9 tips to help you PROVE MATH THEOREMS](https://www.youtube.com/watch?v=-6b-tQEBUT8 "9 tips to help you PROVE MATH THEOREMS") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) 155K views5 years ago ### [How to watch math videos](https://www.youtube.com/watch?v=Ljq5y3ksk8o "How to watch math videos") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) 23K views8 years ago ## [Game Theory](https://www.youtube.com/playlist?list=PLHXZ9OQGMqxdzD8KpTHz6_gsw9pPxRFlX) [Play all](https://www.youtube.com/watch?v=qSDyvqxGWGc&list=PLHXZ9OQGMqxdzD8KpTHz6_gsw9pPxRFlX) This series is an introduction to Game Theory. This incredibly powerful field of math has applications everywhere in economics, biology, political science and so many other places. We will start at the beginning with the basics ideas and build up to a sophisticated understanding. ### [THE PRISONER'S DILEMMA // Intro to Game Theory // Episode 1](https://www.youtube.com/watch?v=qSDyvqxGWGc "THE PRISONER'S DILEMMA // Intro to Game Theory // Episode 1") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) 29K views4 years ago ### [Normal Form Games // Intro to Game Theory // Episode 2](https://www.youtube.com/watch?v=TVlf43FmuPY "Normal Form Games // Intro to Game Theory // Episode 2") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) 18K views4 years ago ### [How to find DOMINATING STRATEGIES with Game Theory](https://www.youtube.com/watch?v=d7J8XLGFQyQ "How to find DOMINATING STRATEGIES with Game Theory") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) 22K views4 years ago ### [The Mathematics of Trust // How Game Theory Explains Cooperation](https://www.youtube.com/watch?v=u6-DdyN30cA "The Mathematics of Trust // How Game Theory Explains Cooperation") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) 17K views4 years ago ### [Nash Equilibriums // How to use Game Theory to render your opponents indifferent](https://www.youtube.com/watch?v=0AOLtbsJ-Go "Nash Equilibriums // How to use Game Theory to render your opponents indifferent") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) 19K views4 years ago ### [The Evolution of Cooperation // Iterated Prisoner's Dilemma](https://www.youtube.com/watch?v=Ur3Vf_ibHD0 "The Evolution of Cooperation // Iterated Prisoner's Dilemma") [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) 16K views4 years ago ## Shorts ### [Visualizing a 4D Sphere](https://www.youtube.com/shorts/Exl1WQ8sGkg "Visualizing a 4D Sphere") 40K views ### [Strange Attractors](https://www.youtube.com/shorts/rPjPjKPnk1c "Strange Attractors") 279K views ### [The best way to stack blocks](https://www.youtube.com/shorts/FYgrDtFyNt4 "The best way to stack blocks") 336K views ### [An infinite block overhang?](https://www.youtube.com/shorts/HlXM4cNJsxc "An infinite block overhang?") 6\.3M views ### [This pattern appears everywhere in nature // Voronoi Cells](https://www.youtube.com/shorts/RyVpm6DQJYc "This pattern appears everywhere in nature // Voronoi Cells") 597K views ### [The Mobius Strip Bubble](https://www.youtube.com/shorts/0pWW0maO3jA "The Mobius Strip Bubble") 246K views ## [Posts](https://www.youtube.com/channel/UC9rTsvTxJnx1DNrDA3Rqa6A/posts) [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) • [11 months ago](https://www.youtube.com/post/UgkxICVPG8hdPxE9RyJOefQPfmRjH6kbxZHu) When learning something new like a math topic, do you tend to go to YouTube first or ChatGPT first? I'd love to hear your thoughts in the comments (I'm doing a talk on AI use in math education next week, wanting some context from you all). Of course I'm sampling from people currently on YouTube who presumably follow me for my math explainers so a highly biased sample!! Still, I'm curious. 2\.8K votes [Vote now](https://www.youtube.com/post/UgkxICVPG8hdPxE9RyJOefQPfmRjH6kbxZHu) 2\.8K votes [Watching a video explainer on YouTube](https://accounts.google.com/ServiceLogin?service=youtube&uilel=3&passive=true&continue=https%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Ddesktop%26hl%3Den%26next%3D%252Fchannel%252FUC9rTsvTxJnx1DNrDA3Rqa6A%252Fposts&hl=en) [Asking ChatGPT or other LLM](https://accounts.google.com/ServiceLogin?service=youtube&uilel=3&passive=true&continue=https%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Ddesktop%26hl%3Den%26next%3D%252Fchannel%252FUC9rTsvTxJnx1DNrDA3Rqa6A%252Fposts&hl=en) Like 87 Dislike [104](https://accounts.google.com/ServiceLogin?service=youtube&uilel=3&passive=true&continue=https%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Ddesktop%26hl%3Den%26next%3D%252Fpost%252FUgkxICVPG8hdPxE9RyJOefQPfmRjH6kbxZHu&hl=en) Comment [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) • [1 year ago](https://www.youtube.com/post/Ugkx4NJbcmZDbgMja2kgXSY3DHrDjQWRAPiL) Let's answer this once and for all. Math is... 6K votes [Vote now](https://www.youtube.com/post/Ugkx4NJbcmZDbgMja2kgXSY3DHrDjQWRAPiL) 6K votes [Discovered](https://accounts.google.com/ServiceLogin?service=youtube&uilel=3&passive=true&continue=https%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Ddesktop%26hl%3Den%26next%3D%252Fchannel%252FUC9rTsvTxJnx1DNrDA3Rqa6A%252Fposts&hl=en) [Invented](https://accounts.google.com/ServiceLogin?service=youtube&uilel=3&passive=true&continue=https%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Ddesktop%26hl%3Den%26next%3D%252Fchannel%252FUC9rTsvTxJnx1DNrDA3Rqa6A%252Fposts&hl=en) Like 203 Dislike [106](https://accounts.google.com/ServiceLogin?service=youtube&uilel=3&passive=true&continue=https%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Ddesktop%26hl%3Den%26next%3D%252Fpost%252FUgkx4NJbcmZDbgMja2kgXSY3DHrDjQWRAPiL&hl=en) Comment [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) • [1 year ago](https://www.youtube.com/post/UgkxXrc6KWyOuGSKpfjyznld75wP-GeKtPJz) What is your favorite math equation??? There are so many beautiful equations in math, but I'm curious what you think the most beautiful ones are? Euler's formula is often cited, combining 5 special numbers e, pi, i, 1, 0, but my next video is about another equation due to Euler that I think I like even more (channel members can watch now!). Like 298 Dislike [62](https://accounts.google.com/ServiceLogin?service=youtube&uilel=3&passive=true&continue=https%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Ddesktop%26hl%3Den%26next%3D%252Fpost%252FUgkxXrc6KWyOuGSKpfjyznld75wP-GeKtPJz&hl=en) Comment [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) • [1 year ago (edited)](https://www.youtube.com/post/UgkxPGE40kanq2vLAjVeQF3NKYsrtbI_IkaO) Hey all, update that the company I've been working with on merch is closing down. I started working with Beautiful Equations a couple years ago, and while there are lots of merch companies out there I liked that this one was trying to really focus on promoting mathematics and so I was happy to partner with them. Anyone who ordered merch is getting/already gotten their merch, but there isn't new sales and there will be some dead links in my video description or a while until I get them all removed - thanks for your understanding:) To anyone who ordered something over the years, thank you! You are amazing:) It was never a significant amount of money (and honestly I did a bad job promoting it, I almost never actually mentioned it in a video) so I'm not in any particular rush to do it again with a new company, but who knows, there might be new math merch in the future:D Like 322 Dislike [7](https://accounts.google.com/ServiceLogin?service=youtube&uilel=3&passive=true&continue=https%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Ddesktop%26hl%3Den%26next%3D%252Fpost%252FUgkxPGE40kanq2vLAjVeQF3NKYsrtbI_IkaO&hl=en) Comment [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) • [2 years ago](https://www.youtube.com/post/Ugkx1utLKIwLm2akEaooJhNDb0zZVC_PHbPT) Every year around this time my YouTube analytics goes nuts - I can see you all studying like crazy for your exams! So for anyone writing in December, good luck:) You got this\! Like 751 Dislike [32](https://accounts.google.com/ServiceLogin?service=youtube&uilel=3&passive=true&continue=https%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Ddesktop%26hl%3Den%26next%3D%252Fpost%252FUgkx1utLKIwLm2akEaooJhNDb0zZVC_PHbPT&hl=en) Comment [Dr. Trefor Bazett](https://www.youtube.com/@DrTrefor) • [3 years ago (edited)](https://www.youtube.com/post/UgkxBBJTW_SKXLFlYBijj1_6KX0Db1Hq7rMf) Happy 2023 everyone! I want to take a minute to share my thoughts on where this little math channel went in 2022 and where I hope it goes in 2023! 2022 was my biggest year yet in analytics. 10+ million views and 100k+ additional subscribers - you are amazing! But it was mostly a big year as I changed my content strategy a lot. I used to primarily make videos intended for my online and flipped courses as a math professor, and most people would watch videos by search for a topic like "Laplace Transform" or whatever. However, this last year I switched to making videos about cool math topics I wanted to make for a more general audience of people interested in math. This worked out great! A few videos went "viral" (by my standards), and I just had a lot of fun sharing more than the standard topics from the undergrad curriculum. I also had a baby which made my video schedule pretty low the first four months, so I'm proud of how the year turned out! Ok so what's up for 2023? Well, mostly more of the same. I've set myself a new years resolution of releasing one high-quality math video I'm really proud of every two weeks, so hold me to that! I mostly intend these to be interesting one-off videos or mini-series that take us into a cool journey into a math topic, but will probably slip in some more standard course videos here and there as well. I have a lot of ideas I think are really interesting and am excited to share them all with you. To everyone who has supported me in this journey thank you. First and foremost to the members of this channel - you are amazing, truly (link: [https://www.youtube.com/channel/UC9rT...](https://www.youtube.com/channel/UC9rTsvTxJnx1DNrDA3Rqa6A). I'm a professor first, this is what consumes most of my working life. I love YouTube, I'm unbelievably passionate about YouTube, but I will always be a professor first which means that YouTube has to be squeezed in between my professional and family life. So the support of all of you whether helping me buy some much needed coffees as a member or just subscribing or sharing with your friends, you really make all the difference at having this channel be possible so thank you so much! Hope your 2023 is amazing! -Trefor Like 351 Dislike [21](https://accounts.google.com/ServiceLogin?service=youtube&uilel=3&passive=true&continue=https%3A%2F%2Fwww.youtube.com%2Fsignin%3Faction_handle_signin%3Dtrue%26app%3Ddesktop%26hl%3Den%26next%3D%252Fpost%252FUgkxBBJTW_SKXLFlYBijj1_6KX0Db1Hq7rMf&hl=en) Comment
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