🕷️ Crawler Inspector

URL Lookup

Direct Parameter Lookup

Raw Queries and Responses

1. Shard Calculation

Query:

Response:

Calculated Shard: 195 (from laksa100)

2. Crawled Status Check

Query:

curl -X POST \
  'http://laksa195.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, ml_categories_json AS ml_categories_json, ml_types_json AS ml_types_json, ml_intent_types_json AS ml_intent_types_json, meta_language AS meta_language, attrs_author AS attrs_author, ifNull(toUnixTimestamp(attrs_publish_time), 0) AS attrs_publish_time, ifNull(toUnixTimestamp(attrs_original_publish_time), 0) AS attrs_original_publish_time, ifNull(attrs_is_republished, 0) AS attrs_is_republished, ifNull(attrs_nr_words, 0) AS attrs_nr_words, ifNull(attrs_boilerpipe_nr_words, 0) AS attrs_boilerpipe_nr_words, ifNull(body_ext_links_number, 0) AS body_ext_links_number, ifNull(body_int_links_number, 0) AS body_int_links_number, ifNull(meta_nofollow, 0) AS meta_nofollow, ifNull(meta_noarchive, 0) AS meta_noarchive, ifNull(props_was_rendered, 0) AS props_was_rendered, ifNull(src_redirect, \'\') AS src_redirect, ifNull(download_time_msec, 0) AS download_time_msec, ifNull(download_ttfb_msec, 0) AS download_ttfb_msec, ifNull(download_size, 0) AS download_size FROM crawler3.page_info_local FINAL PREWHERE (src_root_hash, src_unparsed) IN ((getAhrefsRootHashFromUnparsed(getAhrefsUnparsedNoserviceFromURL(\'https://study.iitm.ac.in/ds/course_pages/BSMA1001.html\')), getAhrefsUnparsedNoserviceFromURL(\'https://study.iitm.ac.in/ds/course_pages/BSMA1001.html\'))) FORMAT JSONEachRow'

Response:

{"found_url":"https:\/\/study.iitm.ac.in\/ds\/course_pages\/BSMA1001.html","crawl_time":1775897477,"first_indexed_time":1687363729,"http_code":200,"src_unparsed":"in,ac,iitm!study,\/ds\/course_pages\/BSMA1001.html s443","src_root_hash":"1336389638663457795","history_drop_reason":null,"meta_title":"Course Page - IIT Madras Degree Program","meta_descriptions":["This course is a part of IIT Madras BS Degree Program."],"attrs_boilerpipe_text":"Recall the basics of sets, natural numbers, integers, rational numbers, and real numbers.\nLearn to use the coordinate system, and plot straight lines.\nIdentify the properties and differences between linear, quadratic, polynomial, exponential, and logarithmic functions.\nFind roots, maxima and minima of polynomials using algorithmic methods.\nLearn to represent sets and relations between set elements as discrete graphs using nodes and edges.\nFormulate some common real-life problems on graphs and solve them.","attrs_markdown":"- [English]()\n- [\\| हिंदी]()\n- [\\| தமிழ்]()\n- [\\| తెలుగు]()\n- [\\| മലയാളം]()\n- [\\| ಕನ್ನಡ]()\n- [\\| मराठी]()\n- [\\| ગુજરાતી]()\n- [\\| বাংলা]()\n\n[![IIT Madras Logo](https:\/\/study.iitm.ac.in\/ds\/assets\/img\/logo.png)](https:\/\/study.iitm.ac.in\/ds)\n\n[Resources](https:\/\/study.iitm.ac.in\/ds\/course_pages\/BSMA1001.html)\n\n[Important Docs](https:\/\/study.iitm.ac.in\/ds\/archive.html)\n\n[Program Report](https:\/\/study.iitm.ac.in\/ds\/course_pages\/BSMA1001.html)\n\n[↳ April 2025](https:\/\/docs.google.com\/document\/d\/e\/2PACX-1vSHXM0T-Rl2h0M9_33mEGChYIHo29UUJ0coR5YEt1_KfFaybnHlBUawBODHUwlBKqjMTc2Ie18gRRnm\/pub) [↳ September 2025](https:\/\/docs.google.com\/document\/d\/e\/2PACX-1vTdZFi5PhEMiGFgNQKXixcg15V7YvOsjVJZgca1b-P-98B5u2vmIXcdClXoYl6qoAmaU7sajOn5pMOh\/pub)\n\n[Career Choices](https:\/\/study.iitm.ac.in\/ds\/course_pages\/BSMA1001.html)\n\n[↳ April 2025](https:\/\/docs.google.com\/document\/d\/e\/2PACX-1vRlw_cgpHLftjLy_B2s146YqORArqpnPEhcnEngVfzJsOuy_wSZywRr06BWtaN1AdwRI3eWdHoY9lq6\/pub) [↳ January 2026](https:\/\/docs.google.com\/document\/d\/e\/2PACX-1vTMkC7ncc_f6pmMEA19ffqqvYKVl6Ld5eSvMoKxr8ukQBIa5YOZ5ME0i-lFiuIHiuSdBfgToXG0pdnu\/pub)\n\n[Batch Summary](https:\/\/study.iitm.ac.in\/ds\/course_pages\/BSMA1001.html)\n\n[↳ Batch 2024](https:\/\/docs.google.com\/document\/d\/e\/2PACX-1vR9cb4wjOce2WMh36Vs8C7KksW765l_-mP-USHHRwWYGoj8TKWdZq9r6_TMetqgevpmcAo7yAIt6na6\/pub) [↳ Batch 2025](https:\/\/docs.google.com\/document\/d\/e\/2PACX-1vROIfzptsIwKUVSl_gKAzPyMHkN_IaDUwyLmJjBcOcpufxKmjcYhNeSsKjKwkpkUW-eDxUPvWcQSfoG\/pub)\n\n[Placements](https:\/\/study.iitm.ac.in\/ds\/course_pages\/BSMA1001.html)\n\n[Overview](https:\/\/docs.google.com\/document\/d\/e\/2PACX-1vRlw_cgpHLftjLy_B2s146YqORArqpnPEhcnEngVfzJsOuy_wSZywRr06BWtaN1AdwRI3eWdHoY9lq6\/pub) [Partnerships](https:\/\/study.iitm.ac.in\/ds\/partnerships.html) [Placement Portal](https:\/\/placements.study.iitm.ac.in\/)\n\n[About](https:\/\/study.iitm.ac.in\/ds\/course_pages\/BSMA1001.html)\n\n[About IIT Madras](https:\/\/study.iitm.ac.in\/ds\/aboutIITM.html) [Faculty Co-ordinators](https:\/\/study.iitm.ac.in\/ds\/aboutIITM.html#FC) [Contact Us](https:\/\/study.iitm.ac.in\/ds\/aboutIITM.html#footer) [FAQ](https:\/\/study.iitm.ac.in\/ds\/faq.html)\n\n[Academics](https:\/\/study.iitm.ac.in\/ds\/course_pages\/BSMA1001.html)\n\n[Overall Structure](https:\/\/study.iitm.ac.in\/ds\/academics.html#AC1) [Term Structure](https:\/\/study.iitm.ac.in\/ds\/academics.html#AC2) [Course Registration](https:\/\/study.iitm.ac.in\/ds\/academics.html#AC3) [Assessments](https:\/\/study.iitm.ac.in\/ds\/academics.html#AC4) [Exam Cities](https:\/\/study.iitm.ac.in\/ds\/academics.html#AC9) [Fee Structure](https:\/\/study.iitm.ac.in\/ds\/academics.html#AC10) [Foundation Level](https:\/\/study.iitm.ac.in\/ds\/academics.html#AC11) [Diploma Level](https:\/\/study.iitm.ac.in\/ds\/academics.html#AC12) [BSc Level](https:\/\/study.iitm.ac.in\/ds\/academics.html#AC15) [BS Level](https:\/\/study.iitm.ac.in\/ds\/academics.html#AC16) [Sample Certificates](https:\/\/study.iitm.ac.in\/ds\/academics.html#AC17) [Academic Calendar](https:\/\/study.iitm.ac.in\/ds\/academic_calendar.html)\n\n[Admissions](https:\/\/study.iitm.ac.in\/ds\/course_pages\/BSMA1001.html)\n\n[Important Dates](https:\/\/study.iitm.ac.in\/ds\/admissions.html#AD0) [Mandatory Requirements](https:\/\/study.iitm.ac.in\/ds\/admissions.html#AD1) [Eligibility to Apply](https:\/\/study.iitm.ac.in\/ds\/admissions.html#AD4) [Application Process](https:\/\/study.iitm.ac.in\/ds\/admissions.html#AD5) [Admission to Foundation Level](https:\/\/study.iitm.ac.in\/ds\/admissions.html#AD6) [1\\. Regular Entry](https:\/\/study.iitm.ac.in\/ds\/admissions.html#AD7) [2\\. JEE Entry](https:\/\/study.iitm.ac.in\/ds\/admissions.html#AD8) [International Students](https:\/\/study.iitm.ac.in\/ds\/admissions.html#AD9)\n\n[Student Life](https:\/\/study.iitm.ac.in\/ds\/course_pages\/BSMA1001.html)\n\n[Paradox - Student Festivals](https:\/\/paradox-showcase.web.app\/) [Student Houses & Societies](https:\/\/study.iitm.ac.in\/ds\/student_life.html) [Teaching Assistants](https:\/\/study.iitm.ac.in\/student-achievements\/interns) [Blog](https:\/\/bsinsider.in\/) [Testimonials](https:\/\/study.iitm.ac.in\/ds\/testimonials.html) [Merchandise](https:\/\/podgoodies.iitmadrasonline.in\/)\n\n[Achievements](https:\/\/study.iitm.ac.in\/ds\/course_pages\/BSMA1001.html)\n\n[Program Toppers](https:\/\/study.iitm.ac.in\/student-achievements\/toppers) [Student's Best Projects](https:\/\/study.iitm.ac.in\/student-achievements\/projects)\n\n[Sign In](https:\/\/ds.study.iitm.ac.in\/auth\/login)\n\nAcademics\n\n[Overall Structure](https:\/\/study.iitm.ac.in\/ds\/academics.html#AC1) [Term Structure](https:\/\/study.iitm.ac.in\/ds\/academics.html#AC2) [Course Registration](https:\/\/study.iitm.ac.in\/ds\/academics.html#AC3) [Assessments](https:\/\/study.iitm.ac.in\/ds\/academics.html#AC4) [Exam Cities](https:\/\/study.iitm.ac.in\/ds\/academics.html#AC9) [Fee Structure](https:\/\/study.iitm.ac.in\/ds\/academics.html#AC10) [Foundation Level](https:\/\/study.iitm.ac.in\/ds\/academics.html#AC11) [Diploma Level](https:\/\/study.iitm.ac.in\/ds\/academics.html#AC12) [BSc Level](https:\/\/study.iitm.ac.in\/ds\/academics.html#AC15) [BS Level](https:\/\/study.iitm.ac.in\/ds\/academics.html#AC16) [Sample Certificates](https:\/\/study.iitm.ac.in\/ds\/academics.html#AC17) [Academic Calendar](https:\/\/study.iitm.ac.in\/ds\/academic_calendar.html)\n\nAdmissions\n\n[Important Dates](https:\/\/study.iitm.ac.in\/ds\/admissions.html#AD0) [Mandatory Requirements](https:\/\/study.iitm.ac.in\/ds\/admissions.html#AD1) [Eligibility to Apply](https:\/\/study.iitm.ac.in\/ds\/admissions.html#AD4) [Application Process](https:\/\/study.iitm.ac.in\/ds\/admissions.html#AD5) [Admission to Foundation Level](https:\/\/study.iitm.ac.in\/ds\/admissions.html#AD6) [1\\. Regular Entry](https:\/\/study.iitm.ac.in\/ds\/admissions.html#AD7) [2\\. JEE Entry](https:\/\/study.iitm.ac.in\/ds\/admissions.html#AD8) [International Students](https:\/\/study.iitm.ac.in\/ds\/admissions.html#AD9)\n\nResources\n\n[Important Docs](https:\/\/study.iitm.ac.in\/ds\/archive.html)\n\nProgram Report\n\n[↳ 2025](https:\/\/docs.google.com\/document\/d\/e\/2PACX-1vSHXM0T-Rl2h0M9_33mEGChYIHo29UUJ0coR5YEt1_KfFaybnHlBUawBODHUwlBKqjMTc2Ie18gRRnm\/pub) [↳ 2026](https:\/\/docs.google.com\/document\/d\/e\/2PACX-1vTdZFi5PhEMiGFgNQKXixcg15V7YvOsjVJZgca1b-P-98B5u2vmIXcdClXoYl6qoAmaU7sajOn5pMOh\/pub)\n\nCareer Choices\n\n[↳ 2025](https:\/\/docs.google.com\/document\/d\/e\/2PACX-1vRlw_cgpHLftjLy_B2s146YqORArqpnPEhcnEngVfzJsOuy_wSZywRr06BWtaN1AdwRI3eWdHoY9lq6\/pub) [↳ 2026](https:\/\/docs.google.com\/document\/d\/e\/2PACX-1vTMkC7ncc_f6pmMEA19ffqqvYKVl6Ld5eSvMoKxr8ukQBIa5YOZ5ME0i-lFiuIHiuSdBfgToXG0pdnu\/pub)\n\nBatch Report\n\n[↳ Batch 2024](https:\/\/docs.google.com\/document\/d\/e\/2PACX-1vR9cb4wjOce2WMh36Vs8C7KksW765l_-mP-USHHRwWYGoj8TKWdZq9r6_TMetqgevpmcAo7yAIt6na6\/pub) [↳ Batch 2025](https:\/\/docs.google.com\/document\/d\/e\/2PACX-1vROIfzptsIwKUVSl_gKAzPyMHkN_IaDUwyLmJjBcOcpufxKmjcYhNeSsKjKwkpkUW-eDxUPvWcQSfoG\/pub)\n\nStudent Life\n\n[Paradox - Student Festivals](https:\/\/paradox-showcase.web.app\/) [Student Houses & Societies](https:\/\/study.iitm.ac.in\/ds\/student_life.html) [Teaching Assistants](https:\/\/study.iitm.ac.in\/student-achievements\/interns) [Blog](https:\/\/bsinsider.in\/) [Testimonials](https:\/\/study.iitm.ac.in\/ds\/testimonials.html) [Merchandise](https:\/\/podgoodies.iitmadrasonline.in\/)\n\nAchievements\n\n[Program Toppers](https:\/\/study.iitm.ac.in\/student-achievements\/toppers)   [Student's Best Projects](https:\/\/study.iitm.ac.in\/student-achievements\/projects)\n\nPlacements\n\n[Overview](https:\/\/docs.google.com\/document\/d\/e\/2PACX-1vRlw_cgpHLftjLy_B2s146YqORArqpnPEhcnEngVfzJsOuy_wSZywRr06BWtaN1AdwRI3eWdHoY9lq6\/pub)   [Partnerships](https:\/\/study.iitm.ac.in\/ds\/partnerships.html)   [Placement Portal](https:\/\/placements.study.iitm.ac.in\/)\n\nAbout\n\n[About IIT Madras](https:\/\/study.iitm.ac.in\/ds\/aboutIITM.html) [Faculty Co-ordinators](https:\/\/study.iitm.ac.in\/ds\/aboutIITM.html#FC) [Contact Us](https:\/\/study.iitm.ac.in\/ds\/aboutIITM.html#footer) [FAQ](https:\/\/study.iitm.ac.in\/ds\/faq.html)\n\n[Sign In](https:\/\/ds.study.iitm.ac.in\/auth\/login)\n\nQualifier Applications open for May 2026 term , Last date to Apply : May 31, 2026\n\n[Apply Now](https:\/\/ds.study.iitm.ac.in\/auth\/login?apply_qualifier=true)\n\n1. [Home](https:\/\/study.iitm.ac.in\/ds\/index.html)\n2. [Academics](https:\/\/study.iitm.ac.in\/ds\/academics.html)\n3. BSMA1001\n\nFoundational Level Course\n\nMathematics for Data Science I\n\nThis course introduces functions (straight lines, polynomials, exponentials and logarithms) and discrete mathematics (basics, graphs) with many examples. The students will be exposed to the idea of using abstract mathematical structures to represent concrete real life situations.\n\n![](https:\/\/study.iitm.ac.in\/ds\/assets\/img\/academics\/instructors\/9001_1x.jpg) ![](https:\/\/study.iitm.ac.in\/ds\/assets\/img\/academics\/instructors\/9003_1x.jpg)\n\nby [Neelesh Upadhye](https:\/\/study.iitm.ac.in\/ds\/course_pages\/BSMA1001.html#9001) , [Madhavan Mukund](https:\/\/study.iitm.ac.in\/ds\/course_pages\/BSMA1001.html#9003)\n\nCourse ID: BSMA1001\n\nCourse Credits: 4\n\nCourse Type: Foundational\n\nPre-requisites: None\n\nWhat you’ll learn[VIEW COURSE VIDEOS](https:\/\/www.youtube.com\/playlist?list=PLZ2ps__7DhBZYDZo9A0pZ_i0xhstrk5cR)\n\nRecall the basics of sets, natural numbers, integers, rational numbers, and real numbers.\n\nLearn to use the coordinate system, and plot straight lines.\n\nIdentify the properties and differences between linear, quadratic, polynomial, exponential, and logarithmic functions.\n\nFind roots, maxima and minima of polynomials using algorithmic methods.\n\nLearn to represent sets and relations between set elements as discrete graphs using nodes and edges.\n\nFormulate some common real-life problems on graphs and solve them.\n\nCourse structure & Assessments\n\n12 weeks of coursework, weekly online assignments, 2 in-person invigilated quizzes, 1 in-person invigilated end term exam. For details of standard course structure and assessments, visit [Academics](https:\/\/study.iitm.ac.in\/ds\/academics.html) page.\n\n|   |   |\n|---|---|\n| WEEK 1 | Set Theory - Number system, Sets and their operations, Relations and functions - Relations and their types, Functions and their types |\n| WEEK 2 | Rectangular coordinate system, Straight Lines - Slope of a line, Parallel and perpendicular lines, Representations of a Line, General equations of a line, Straight-line fit |\n| WEEK 3 | Quadratic Functions - Quadratic functions, Minima, maxima, vertex, and slope, Quadratic Equations |\n| WEEK 4 | Algebra of Polynomials - Addition, subtraction, multiplication, and division, Algorithms, Graphs of Polynomials - X-intercepts, multiplicities, end behavior, and turning points, Graphing & polynomial creation |\n| WEEK 5 | Functions - Horizontal and vertical line tests, Exponential functions, Composite functions, Inverse functions |\n| WEEK 6 | Logarithmic Functions - Properties, Graphs, Exponential equations, Logarithmic equations |\n| WEEK 7 | Sequence and Limits - Function of One variable - • Function of one variable • Graphs and Tangents • Limits for sequences • Limits for function of one variable • Limits and Continuity |\n| WEEK 8 | Derivatives, Tangents and Critical points - • Differentiability and the derivative • Computing derivatives and L’Hˆopital’s rule • Derivatives, tangents and linear approximation • Critical points: local maxima and minima |\n| WEEK 9 | Integral of a function of one variable - • Computing areas, Computing areas under a curve, The integral of a function of one variable • Derivatives and integrals for functions of one variable |\n| WEEK 10 | Graph Theory - Representation of graphs, Breadth-first search, Depth-first search, Applications of BFS and DFS; Directed Acyclic Graphs - Complexity of BFS and DFS, Topological sorting |\n| WEEK 11 | Longest path, Transitive closure, Matrix multiplication Graph theory Algorithms - Single-source shortest paths, Dijkstra's algorithm, Bellman-Ford algorithm, All-pairs shortest paths, Floyd–Warshall algorithm, Minimum cost spanning trees, Prim's algorithm, Kruskal's algorithm |\n| WEEK 12 | Revision |\n\n[\\+ Show all weeks]()\n\nReference Documents \/ Books\n\nSets & Functions (VOL 1)\n\n[DOWNLOAD](https:\/\/drive.google.com\/file\/d\/1AD4uMcFz05d7KmoSHkTzxBIj8EdzHSRf\/view)\n\nCalculus (VOL 2)\n\n[DOWNLOAD](https:\/\/drive.google.com\/file\/d\/1tixOUADAr_1jScZEOCLtkOHshehCzmcE\/view)\n\nGRAPH THEORY (VOL 3)\n\n[DOWNLOAD](https:\/\/drive.google.com\/file\/d\/1qNYkCA4KMxyB7YGuO8o_2uAW357uI0BX\/view)\n\nPrescribed Books\n\nThe following are the suggested books for the course:\n\nIntroductory Algebra: a real-world approach (4th Edition) - by Ignacio Bello\n\nAbout the Instructors\n\n![](https:\/\/study.iitm.ac.in\/ds\/assets\/img\/academics\/instructors\/9001_2x.jpg)\n\nNeelesh Upadhye\n\nAssociate Professor, Department of Mathematics, IIT Madras\n\nExperienced Associate Professor with a demonstrated history of working in the higher education industry. Skilled in Mathematical Modeling, R, Stochastic Modeling, and Statistical Modeling. Strong education professional with a Doctor of Philosophy (Ph.D.) focused in Mathematical Statistics and Probability from Indian Institute of Technology, Bombay.\n\n[less]()\n\n[Visit website](https:\/\/math.iitm.ac.in\/neelesh)\n\n![](https:\/\/study.iitm.ac.in\/ds\/assets\/img\/academics\/instructors\/9003_2x.jpg)\n\nMadhavan Mukund\n\nDirector, Chennai Mathematical Institute\n\nMadhavan Mukund studied at IIT Bombay (BTech) and Aarhus University (PhD). He has been a faculty member at Chennai Mathematical Institute since 1992.His main research area is formal verification. He has active research collaborations within and outside India and serves on international conference programme committees and editorial boards of journals.\n\n...  more\n\nHe has served as President of both the Indian Association for Research in Computing Science (IARCS) (2011-2017) and the ACM India Council (2016-2018). He has been the National Coordinator of the Indian Computing Olympiad since 2002. He served as the Executive Director of the International Olympiad in Informatics from 2011-2014.\n\nIn addition to the NPTEL MOOC programme, he has been involved in organizing IARCS Instructional Courses for college teachers. He is a member of ACM India's Education Committee. He has contributed lectures on algorithms to the Massively Empowered Classroom (MEC) project of Microsoft Research and the QEEE programme of MHRD.\n\n[less]()\n\n[Visit website](https:\/\/www.cmi.ac.in\/~madhavan\/)\n\nOther courses by the same instructor: [BSCS1001 - Computational Thinking](https:\/\/study.iitm.ac.in\/ds\/course_pages\/BSCS1001.html) , [BSCS2002 - Programming, Data Structures and Algorithms using Python](https:\/\/study.iitm.ac.in\/ds\/course_pages\/BSCS2002.html)  and  [BSCS2005 - Programming Concepts using Java](https:\/\/study.iitm.ac.in\/ds\/course_pages\/BSCS2005.html)\n\n[View all Foundational Level courses](https:\/\/study.iitm.ac.in\/ds\/academics.html#AC11)\n\n[support@study.iitm.ac.in](mailto:support@study.iitm.ac.in)\n\n7850999966\n\nIITM BS Degree Office, 3rd Floor,  \nICSR Building, IIT Madras,  \nChennai - 600036\n\nPlease use only the above methods for program queries. Response time: 3 working days. During peak periods, Google Meet links will be shared. Call wait times may be longer.\n\n[Terms of Service](https:\/\/study.iitm.ac.in\/ds\/tos.html) [\\| Privacy Policy](https:\/\/study.iitm.ac.in\/ds\/privacy_policy.html)\n\n![](https:\/\/www.facebook.com\/tr?id=999030750761104&ev=PageView&noscript=1)\n\ncontact\\_support Need Help?  close","attrs_readable_markdown":"Recall the basics of sets, natural numbers, integers, rational numbers, and real numbers.\n\nLearn to use the coordinate system, and plot straight lines.\n\nIdentify the properties and differences between linear, quadratic, polynomial, exponential, and logarithmic functions.\n\nFind roots, maxima and minima of polynomials using algorithmic methods.\n\nLearn to represent sets and relations between set elements as discrete graphs using nodes and edges.\n\nFormulate some common real-life problems on graphs and solve them.","meta_canonical":null,"ml_categories_json":"{\"\/Jobs_and_Education\":955,\"\/Jobs_and_Education\/Education\":954,\"\/Jobs_and_Education\/Education\/Colleges_and_Universities\":912}","ml_types_json":"{\"\/Core_Page\":920,\"\/Core_Page\/Services_Page\":827}","ml_intent_types_json":"{\"Informational\":775,\"Navigational\":548}","meta_language":"en","attrs_author":null,"attrs_publish_time":0,"attrs_original_publish_time":1687363729,"attrs_is_republished":0,"attrs_nr_words":"1069","attrs_boilerpipe_nr_words":"72","body_ext_links_number":16,"body_int_links_number":24,"meta_nofollow":0,"meta_noarchive":0,"props_was_rendered":1,"src_redirect":"","download_time_msec":1145,"download_ttfb_msec":1143,"download_size":17539}

3. Robots.txt Check

Query:

Response:

4. Spam/Ban Check

Query:

Response:

5. Seen Status Check

ℹ️ Skipped - page is already crawled

📄

INDEXABLE

✅

CRAWLED

12 days ago

🤖

ROBOTS ALLOWED

Page Info Filters

Filter	Status	Condition	Details
HTTP status	PASS	`download_http_code = 200`	HTTP 200
Age cutoff	PASS	`download_stamp > now() - 6 MONTH`	0.4 months ago
History drop	PASS	`isNull(history_drop_reason)`	No drop reason
Spam/ban	PASS	`fh_dont_index != 1 AND ml_spam_score = 0`	ml_spam_score=0
Canonical	PASS	`meta_canonical IS NULL OR = '' OR = src_unparsed`	Not set

Page Details

Property

Value

URL

https://study.iitm.ac.in/ds/course_pages/BSMA1001.html

Last Crawled

2026-04-11 08:51:17 (12 days ago)

First Indexed

2023-06-21 16:08:49 (2 years ago)

HTTP Status Code

200

Content

Meta Title

Course Page - IIT Madras Degree Program

Meta Description

This course is a part of IIT Madras BS Degree Program.

Meta Canonical

null

Boilerpipe Text

Recall the basics of sets, natural numbers, integers, rational numbers, and real numbers. Learn to use the coordinate system, and plot straight lines. Identify the properties and differences between linear, quadratic, polynomial, exponential, and logarithmic functions. Find roots, maxima and minima of polynomials using algorithmic methods. Learn to represent sets and relations between set elements as discrete graphs using nodes and edges. Formulate some common real-life problems on graphs and solve them.

Markdown

- [English]() - [\| हिंदी]() - [\| தமிழ்]() - [\| తెలుగు]() - [\| മലയാളം]() - [\| ಕನ್ನಡ]() - [\| मराठी]() - [\| ગુજરાતી]() - [\| বাংলা]() [![IIT Madras Logo](https://study.iitm.ac.in/ds/assets/img/logo.png)](https://study.iitm.ac.in/ds) [Resources](https://study.iitm.ac.in/ds/course_pages/BSMA1001.html) [Important Docs](https://study.iitm.ac.in/ds/archive.html) [Program Report](https://study.iitm.ac.in/ds/course_pages/BSMA1001.html) [↳ April 2025](https://docs.google.com/document/d/e/2PACX-1vSHXM0T-Rl2h0M9_33mEGChYIHo29UUJ0coR5YEt1_KfFaybnHlBUawBODHUwlBKqjMTc2Ie18gRRnm/pub) [↳ September 2025](https://docs.google.com/document/d/e/2PACX-1vTdZFi5PhEMiGFgNQKXixcg15V7YvOsjVJZgca1b-P-98B5u2vmIXcdClXoYl6qoAmaU7sajOn5pMOh/pub) [Career Choices](https://study.iitm.ac.in/ds/course_pages/BSMA1001.html) [↳ April 2025](https://docs.google.com/document/d/e/2PACX-1vRlw_cgpHLftjLy_B2s146YqORArqpnPEhcnEngVfzJsOuy_wSZywRr06BWtaN1AdwRI3eWdHoY9lq6/pub) [↳ January 2026](https://docs.google.com/document/d/e/2PACX-1vTMkC7ncc_f6pmMEA19ffqqvYKVl6Ld5eSvMoKxr8ukQBIa5YOZ5ME0i-lFiuIHiuSdBfgToXG0pdnu/pub) [Batch Summary](https://study.iitm.ac.in/ds/course_pages/BSMA1001.html) [↳ Batch 2024](https://docs.google.com/document/d/e/2PACX-1vR9cb4wjOce2WMh36Vs8C7KksW765l_-mP-USHHRwWYGoj8TKWdZq9r6_TMetqgevpmcAo7yAIt6na6/pub) [↳ Batch 2025](https://docs.google.com/document/d/e/2PACX-1vROIfzptsIwKUVSl_gKAzPyMHkN_IaDUwyLmJjBcOcpufxKmjcYhNeSsKjKwkpkUW-eDxUPvWcQSfoG/pub) [Placements](https://study.iitm.ac.in/ds/course_pages/BSMA1001.html) [Overview](https://docs.google.com/document/d/e/2PACX-1vRlw_cgpHLftjLy_B2s146YqORArqpnPEhcnEngVfzJsOuy_wSZywRr06BWtaN1AdwRI3eWdHoY9lq6/pub) [Partnerships](https://study.iitm.ac.in/ds/partnerships.html) [Placement Portal](https://placements.study.iitm.ac.in/) [About](https://study.iitm.ac.in/ds/course_pages/BSMA1001.html) [About IIT Madras](https://study.iitm.ac.in/ds/aboutIITM.html) [Faculty Co-ordinators](https://study.iitm.ac.in/ds/aboutIITM.html#FC) [Contact Us](https://study.iitm.ac.in/ds/aboutIITM.html#footer) [FAQ](https://study.iitm.ac.in/ds/faq.html) [Academics](https://study.iitm.ac.in/ds/course_pages/BSMA1001.html) [Overall Structure](https://study.iitm.ac.in/ds/academics.html#AC1) [Term Structure](https://study.iitm.ac.in/ds/academics.html#AC2) [Course Registration](https://study.iitm.ac.in/ds/academics.html#AC3) [Assessments](https://study.iitm.ac.in/ds/academics.html#AC4) [Exam Cities](https://study.iitm.ac.in/ds/academics.html#AC9) [Fee Structure](https://study.iitm.ac.in/ds/academics.html#AC10) [Foundation Level](https://study.iitm.ac.in/ds/academics.html#AC11) [Diploma Level](https://study.iitm.ac.in/ds/academics.html#AC12) [BSc Level](https://study.iitm.ac.in/ds/academics.html#AC15) [BS Level](https://study.iitm.ac.in/ds/academics.html#AC16) [Sample Certificates](https://study.iitm.ac.in/ds/academics.html#AC17) [Academic Calendar](https://study.iitm.ac.in/ds/academic_calendar.html) [Admissions](https://study.iitm.ac.in/ds/course_pages/BSMA1001.html) [Important Dates](https://study.iitm.ac.in/ds/admissions.html#AD0) [Mandatory Requirements](https://study.iitm.ac.in/ds/admissions.html#AD1) [Eligibility to Apply](https://study.iitm.ac.in/ds/admissions.html#AD4) [Application Process](https://study.iitm.ac.in/ds/admissions.html#AD5) [Admission to Foundation Level](https://study.iitm.ac.in/ds/admissions.html#AD6) [1\. Regular Entry](https://study.iitm.ac.in/ds/admissions.html#AD7) [2\. JEE Entry](https://study.iitm.ac.in/ds/admissions.html#AD8) [International Students](https://study.iitm.ac.in/ds/admissions.html#AD9) [Student Life](https://study.iitm.ac.in/ds/course_pages/BSMA1001.html) [Paradox - Student Festivals](https://paradox-showcase.web.app/) [Student Houses & Societies](https://study.iitm.ac.in/ds/student_life.html) [Teaching Assistants](https://study.iitm.ac.in/student-achievements/interns) [Blog](https://bsinsider.in/) [Testimonials](https://study.iitm.ac.in/ds/testimonials.html) [Merchandise](https://podgoodies.iitmadrasonline.in/) [Achievements](https://study.iitm.ac.in/ds/course_pages/BSMA1001.html) [Program Toppers](https://study.iitm.ac.in/student-achievements/toppers) [Student's Best Projects](https://study.iitm.ac.in/student-achievements/projects) [Sign In](https://ds.study.iitm.ac.in/auth/login) Academics [Overall Structure](https://study.iitm.ac.in/ds/academics.html#AC1) [Term Structure](https://study.iitm.ac.in/ds/academics.html#AC2) [Course Registration](https://study.iitm.ac.in/ds/academics.html#AC3) [Assessments](https://study.iitm.ac.in/ds/academics.html#AC4) [Exam Cities](https://study.iitm.ac.in/ds/academics.html#AC9) [Fee Structure](https://study.iitm.ac.in/ds/academics.html#AC10) [Foundation Level](https://study.iitm.ac.in/ds/academics.html#AC11) [Diploma Level](https://study.iitm.ac.in/ds/academics.html#AC12) [BSc Level](https://study.iitm.ac.in/ds/academics.html#AC15) [BS Level](https://study.iitm.ac.in/ds/academics.html#AC16) [Sample Certificates](https://study.iitm.ac.in/ds/academics.html#AC17) [Academic Calendar](https://study.iitm.ac.in/ds/academic_calendar.html) Admissions [Important Dates](https://study.iitm.ac.in/ds/admissions.html#AD0) [Mandatory Requirements](https://study.iitm.ac.in/ds/admissions.html#AD1) [Eligibility to Apply](https://study.iitm.ac.in/ds/admissions.html#AD4) [Application Process](https://study.iitm.ac.in/ds/admissions.html#AD5) [Admission to Foundation Level](https://study.iitm.ac.in/ds/admissions.html#AD6) [1\. Regular Entry](https://study.iitm.ac.in/ds/admissions.html#AD7) [2\. JEE Entry](https://study.iitm.ac.in/ds/admissions.html#AD8) [International Students](https://study.iitm.ac.in/ds/admissions.html#AD9) Resources [Important Docs](https://study.iitm.ac.in/ds/archive.html) Program Report [↳ 2025](https://docs.google.com/document/d/e/2PACX-1vSHXM0T-Rl2h0M9_33mEGChYIHo29UUJ0coR5YEt1_KfFaybnHlBUawBODHUwlBKqjMTc2Ie18gRRnm/pub) [↳ 2026](https://docs.google.com/document/d/e/2PACX-1vTdZFi5PhEMiGFgNQKXixcg15V7YvOsjVJZgca1b-P-98B5u2vmIXcdClXoYl6qoAmaU7sajOn5pMOh/pub) Career Choices [↳ 2025](https://docs.google.com/document/d/e/2PACX-1vRlw_cgpHLftjLy_B2s146YqORArqpnPEhcnEngVfzJsOuy_wSZywRr06BWtaN1AdwRI3eWdHoY9lq6/pub) [↳ 2026](https://docs.google.com/document/d/e/2PACX-1vTMkC7ncc_f6pmMEA19ffqqvYKVl6Ld5eSvMoKxr8ukQBIa5YOZ5ME0i-lFiuIHiuSdBfgToXG0pdnu/pub) Batch Report [↳ Batch 2024](https://docs.google.com/document/d/e/2PACX-1vR9cb4wjOce2WMh36Vs8C7KksW765l_-mP-USHHRwWYGoj8TKWdZq9r6_TMetqgevpmcAo7yAIt6na6/pub) [↳ Batch 2025](https://docs.google.com/document/d/e/2PACX-1vROIfzptsIwKUVSl_gKAzPyMHkN_IaDUwyLmJjBcOcpufxKmjcYhNeSsKjKwkpkUW-eDxUPvWcQSfoG/pub) Student Life [Paradox - Student Festivals](https://paradox-showcase.web.app/) [Student Houses & Societies](https://study.iitm.ac.in/ds/student_life.html) [Teaching Assistants](https://study.iitm.ac.in/student-achievements/interns) [Blog](https://bsinsider.in/) [Testimonials](https://study.iitm.ac.in/ds/testimonials.html) [Merchandise](https://podgoodies.iitmadrasonline.in/) Achievements [Program Toppers](https://study.iitm.ac.in/student-achievements/toppers) [Student's Best Projects](https://study.iitm.ac.in/student-achievements/projects) Placements [Overview](https://docs.google.com/document/d/e/2PACX-1vRlw_cgpHLftjLy_B2s146YqORArqpnPEhcnEngVfzJsOuy_wSZywRr06BWtaN1AdwRI3eWdHoY9lq6/pub) [Partnerships](https://study.iitm.ac.in/ds/partnerships.html) [Placement Portal](https://placements.study.iitm.ac.in/) About [About IIT Madras](https://study.iitm.ac.in/ds/aboutIITM.html) [Faculty Co-ordinators](https://study.iitm.ac.in/ds/aboutIITM.html#FC) [Contact Us](https://study.iitm.ac.in/ds/aboutIITM.html#footer) [FAQ](https://study.iitm.ac.in/ds/faq.html) [Sign In](https://ds.study.iitm.ac.in/auth/login) Qualifier Applications open for May 2026 term , Last date to Apply : May 31, 2026 [Apply Now](https://ds.study.iitm.ac.in/auth/login?apply_qualifier=true) 1. [Home](https://study.iitm.ac.in/ds/index.html) 2. [Academics](https://study.iitm.ac.in/ds/academics.html) 3. BSMA1001 Foundational Level Course Mathematics for Data Science I This course introduces functions (straight lines, polynomials, exponentials and logarithms) and discrete mathematics (basics, graphs) with many examples. The students will be exposed to the idea of using abstract mathematical structures to represent concrete real life situations. ![](https://study.iitm.ac.in/ds/assets/img/academics/instructors/9001_1x.jpg) ![](https://study.iitm.ac.in/ds/assets/img/academics/instructors/9003_1x.jpg) by [Neelesh Upadhye](https://study.iitm.ac.in/ds/course_pages/BSMA1001.html#9001) , [Madhavan Mukund](https://study.iitm.ac.in/ds/course_pages/BSMA1001.html#9003) Course ID: BSMA1001 Course Credits: 4 Course Type: Foundational Pre-requisites: None What you’ll learn[VIEW COURSE VIDEOS](https://www.youtube.com/playlist?list=PLZ2ps__7DhBZYDZo9A0pZ_i0xhstrk5cR) Recall the basics of sets, natural numbers, integers, rational numbers, and real numbers. Learn to use the coordinate system, and plot straight lines. Identify the properties and differences between linear, quadratic, polynomial, exponential, and logarithmic functions. Find roots, maxima and minima of polynomials using algorithmic methods. Learn to represent sets and relations between set elements as discrete graphs using nodes and edges. Formulate some common real-life problems on graphs and solve them. Course structure & Assessments 12 weeks of coursework, weekly online assignments, 2 in-person invigilated quizzes, 1 in-person invigilated end term exam. For details of standard course structure and assessments, visit [Academics](https://study.iitm.ac.in/ds/academics.html) page. | | | |---|---| | WEEK 1 | Set Theory - Number system, Sets and their operations, Relations and functions - Relations and their types, Functions and their types | | WEEK 2 | Rectangular coordinate system, Straight Lines - Slope of a line, Parallel and perpendicular lines, Representations of a Line, General equations of a line, Straight-line fit | | WEEK 3 | Quadratic Functions - Quadratic functions, Minima, maxima, vertex, and slope, Quadratic Equations | | WEEK 4 | Algebra of Polynomials - Addition, subtraction, multiplication, and division, Algorithms, Graphs of Polynomials - X-intercepts, multiplicities, end behavior, and turning points, Graphing & polynomial creation | | WEEK 5 | Functions - Horizontal and vertical line tests, Exponential functions, Composite functions, Inverse functions | | WEEK 6 | Logarithmic Functions - Properties, Graphs, Exponential equations, Logarithmic equations | | WEEK 7 | Sequence and Limits - Function of One variable - • Function of one variable • Graphs and Tangents • Limits for sequences • Limits for function of one variable • Limits and Continuity | | WEEK 8 | Derivatives, Tangents and Critical points - • Differentiability and the derivative • Computing derivatives and L’Hˆopital’s rule • Derivatives, tangents and linear approximation • Critical points: local maxima and minima | | WEEK 9 | Integral of a function of one variable - • Computing areas, Computing areas under a curve, The integral of a function of one variable • Derivatives and integrals for functions of one variable | | WEEK 10 | Graph Theory - Representation of graphs, Breadth-first search, Depth-first search, Applications of BFS and DFS; Directed Acyclic Graphs - Complexity of BFS and DFS, Topological sorting | | WEEK 11 | Longest path, Transitive closure, Matrix multiplication Graph theory Algorithms - Single-source shortest paths, Dijkstra's algorithm, Bellman-Ford algorithm, All-pairs shortest paths, Floyd–Warshall algorithm, Minimum cost spanning trees, Prim's algorithm, Kruskal's algorithm | | WEEK 12 | Revision | [\+ Show all weeks]() Reference Documents / Books Sets & Functions (VOL 1) [DOWNLOAD](https://drive.google.com/file/d/1AD4uMcFz05d7KmoSHkTzxBIj8EdzHSRf/view) Calculus (VOL 2) [DOWNLOAD](https://drive.google.com/file/d/1tixOUADAr_1jScZEOCLtkOHshehCzmcE/view) GRAPH THEORY (VOL 3) [DOWNLOAD](https://drive.google.com/file/d/1qNYkCA4KMxyB7YGuO8o_2uAW357uI0BX/view) Prescribed Books The following are the suggested books for the course: Introductory Algebra: a real-world approach (4th Edition) - by Ignacio Bello About the Instructors ![](https://study.iitm.ac.in/ds/assets/img/academics/instructors/9001_2x.jpg) Neelesh Upadhye Associate Professor, Department of Mathematics, IIT Madras Experienced Associate Professor with a demonstrated history of working in the higher education industry. Skilled in Mathematical Modeling, R, Stochastic Modeling, and Statistical Modeling. Strong education professional with a Doctor of Philosophy (Ph.D.) focused in Mathematical Statistics and Probability from Indian Institute of Technology, Bombay. [less]() [Visit website](https://math.iitm.ac.in/neelesh) ![](https://study.iitm.ac.in/ds/assets/img/academics/instructors/9003_2x.jpg) Madhavan Mukund Director, Chennai Mathematical Institute Madhavan Mukund studied at IIT Bombay (BTech) and Aarhus University (PhD). He has been a faculty member at Chennai Mathematical Institute since 1992.His main research area is formal verification. He has active research collaborations within and outside India and serves on international conference programme committees and editorial boards of journals. ... more He has served as President of both the Indian Association for Research in Computing Science (IARCS) (2011-2017) and the ACM India Council (2016-2018). He has been the National Coordinator of the Indian Computing Olympiad since 2002. He served as the Executive Director of the International Olympiad in Informatics from 2011-2014. In addition to the NPTEL MOOC programme, he has been involved in organizing IARCS Instructional Courses for college teachers. He is a member of ACM India's Education Committee. He has contributed lectures on algorithms to the Massively Empowered Classroom (MEC) project of Microsoft Research and the QEEE programme of MHRD. [less]() [Visit website](https://www.cmi.ac.in/~madhavan/) Other courses by the same instructor: [BSCS1001 - Computational Thinking](https://study.iitm.ac.in/ds/course_pages/BSCS1001.html) , [BSCS2002 - Programming, Data Structures and Algorithms using Python](https://study.iitm.ac.in/ds/course_pages/BSCS2002.html) and [BSCS2005 - Programming Concepts using Java](https://study.iitm.ac.in/ds/course_pages/BSCS2005.html) [View all Foundational Level courses](https://study.iitm.ac.in/ds/academics.html#AC11) [support@study.iitm.ac.in](mailto:support@study.iitm.ac.in) 7850999966 IITM BS Degree Office, 3rd Floor, ICSR Building, IIT Madras, Chennai - 600036 Please use only the above methods for program queries. Response time: 3 working days. During peak periods, Google Meet links will be shared. Call wait times may be longer. [Terms of Service](https://study.iitm.ac.in/ds/tos.html) [\| Privacy Policy](https://study.iitm.ac.in/ds/privacy_policy.html) ![](https://www.facebook.com/tr?id=999030750761104&ev=PageView&noscript=1) contact\_support Need Help? close

Readable Markdown

ML Classification

ML Categories

/Jobs_and_Education		95.5%
/Jobs_and_Education/Education		95.4%
/Jobs_and_Education/Education/Colleges_and_Universities		91.2%

Raw JSON

{
    "/Jobs_and_Education": 955,
    "/Jobs_and_Education/Education": 954,
    "/Jobs_and_Education/Education/Colleges_and_Universities": 912
}

ML Page Types

/Core_Page		92.0%
/Core_Page/Services_Page		82.7%

Raw JSON

{
    "/Core_Page": 920,
    "/Core_Page/Services_Page": 827
}

ML Intent Types

Informational		77.5%
Navigational		54.8%

Raw JSON

{
    "Informational": 775,
    "Navigational": 548
}

Content Metadata

Language

Author

null

Publish Time

not set

Original Publish Time

2023-06-21 16:08:49 (2 years ago)

Republished

Word Count (Total)

1,069

Word Count (Content)

Links

External Links

Internal Links

Technical SEO

Meta Nofollow

Meta Noarchive

JS Rendered

Yes

Redirect Target

null

Performance

Download Time (ms)

1,145

TTFB (ms)

1,143

Download Size (bytes)

17,539

Shard

195 (laksa)

Root Hash

1336389638663457795

Unparsed URL

in,ac,iitm!study,/ds/course_pages/BSMA1001.html s443