{"id":34111,"date":"2025-01-04T22:32:14","date_gmt":"2025-01-04T17:02:14","guid":{"rendered":"https:\/\/tocxten.com\/?page_id=34111"},"modified":"2025-11-01T22:02:20","modified_gmt":"2025-11-01T16:32:20","slug":"gate-data-science-and-artificial-intelligence","status":"publish","type":"page","link":"https:\/\/tocxten.com\/index.php\/gate-data-science-and-artificial-intelligence\/","title":{"rendered":"GATE Data Science and Artificial Intelligence"},"content":{"rendered":"\n<p class=\"has-pale-ocean-gradient-background has-background has-medium-font-size\"><strong>Syllabus <\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\"><a href=\"https:\/\/gate2025.iitr.ac.in\/doc\/2025\/GATE%20_DA_2025_Syllabus.pdf\"><strong>GATE Syllabus<\/strong><\/a><\/p>\n\n\n\n<p class=\"has-pale-ocean-gradient-background has-background has-medium-font-size\"><strong>Module: Probability and Statistics<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Counting (permutation and combinations), <\/li>\n\n\n\n<li>Probability axioms, <\/li>\n\n\n\n<li>Sample space, <\/li>\n\n\n\n<li>Events, independent events, mutually exclusive events, <\/li>\n\n\n\n<li>Marginal, conditional and joint probability, <\/li>\n\n\n\n<li>Bayes Theorem, <\/li>\n\n\n\n<li>Conditional expectation and variance, mean, median, mode and standard deviation, <\/li>\n\n\n\n<li>Correlation, and covariance, <\/li>\n\n\n\n<li>Random variables, discrete random variables and probability mass functions, <\/li>\n\n\n\n<li>Uniform, Bernoulli, binomial distribution, <\/li>\n\n\n\n<li>Continuous random variables <\/li>\n\n\n\n<li>Probability distribution function, \n<ul class=\"wp-block-list\">\n<li>uniform, <\/li>\n\n\n\n<li>exponential, <\/li>\n\n\n\n<li>Poisson, <\/li>\n\n\n\n<li>Normal, <\/li>\n\n\n\n<li>Standard normal, <\/li>\n\n\n\n<li>t-distribution, <\/li>\n\n\n\n<li>chi-squared distributions, <\/li>\n\n\n\n<li>cumulative distribution function, <\/li>\n\n\n\n<li>Conditional PDF, <\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Central limit theorem, confidence interval, z-test, t-test, chi-squared test.<\/li>\n<\/ol>\n\n\n\n<p class=\"has-pale-ocean-gradient-background has-background has-medium-font-size\"><strong>Module:<\/strong> <strong>Linear Algebra <\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Vector space, subspaces, <\/li>\n\n\n\n<li>Linear dependence and independence of vectors,<\/li>\n\n\n\n<li>Matrices, \n<ul class=\"wp-block-list\">\n<li>projection matrix, <\/li>\n\n\n\n<li>orthogonal matrix, <\/li>\n\n\n\n<li>idempotent matrix, <\/li>\n\n\n\n<li>partition matrix and their properties, <\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>quadratic forms, <\/li>\n\n\n\n<li>Systems of linear equations and solutions; Gaussian elimination,<\/li>\n\n\n\n<li>eigenvalues and eigenvectors, <\/li>\n\n\n\n<li>determinant, <\/li>\n\n\n\n<li>rank, <\/li>\n\n\n\n<li>nullity, <\/li>\n\n\n\n<li>projections, <\/li>\n\n\n\n<li>LU decomposition, <\/li>\n\n\n\n<li>singular value decomposition<\/li>\n<\/ol>\n\n\n\n<p class=\"has-pale-ocean-gradient-background has-background has-medium-font-size\"><strong>Module:<\/strong> <strong>Calculus and Optimization<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Functions of a single variable, <\/li>\n\n\n\n<li>limit, <\/li>\n\n\n\n<li>continuity and differentiability,<\/li>\n\n\n\n<li>Taylor series, <\/li>\n\n\n\n<li>maxima and minima, <\/li>\n\n\n\n<li>optimization involving a single variable<\/li>\n<\/ol>\n\n\n\n<p class=\"has-pale-ocean-gradient-background has-background has-medium-font-size\"><strong>Module : Programming, Data Structures and Algorithms:<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Programming in Python, <\/li>\n\n\n\n<li>Basic data structures:\n<ul class=\"wp-block-list\">\n<li>stacks, <\/li>\n\n\n\n<li>queues, <\/li>\n\n\n\n<li>linked lists, <\/li>\n\n\n\n<li>trees, <\/li>\n\n\n\n<li>hash tables; <\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Search algorithms: \n<ul class=\"wp-block-list\">\n<li>linear search <\/li>\n\n\n\n<li>binary search,<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Basic sorting algorithms: \n<ul class=\"wp-block-list\">\n<li>selection sort, <\/li>\n\n\n\n<li>bubble sort and insertion sort; <\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Divide and conquer:\n<ul class=\"wp-block-list\">\n<li>mergesort, <\/li>\n\n\n\n<li>quicksort; <\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Introduction to graph theory; \n<ul class=\"wp-block-list\">\n<li>basic graph algorithms: traversals and shortest path.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<p class=\"has-pale-ocean-gradient-background has-background has-medium-font-size\"><strong><strong>Module:<\/strong><\/strong> <strong>Database Management and Warehousing<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>ER-model, <\/li>\n\n\n\n<li>Relational model: relational algebra, <\/li>\n\n\n\n<li>Tuple calculus, <\/li>\n\n\n\n<li>SQL, <\/li>\n\n\n\n<li>Integrity constraints, <\/li>\n\n\n\n<li>Normal form, <\/li>\n\n\n\n<li>File organization, indexing, <\/li>\n\n\n\n<li>Data types, <\/li>\n\n\n\n<li>Data transformation \n<ul class=\"wp-block-list\">\n<li>Normalization, <\/li>\n\n\n\n<li>Discretization, <\/li>\n\n\n\n<li>Sampling, <\/li>\n\n\n\n<li>Compression; <\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Data warehouse modelling: \n<ul class=\"wp-block-list\">\n<li>Schema for multidimensional data models, <\/li>\n\n\n\n<li>Concept hierarchies, <\/li>\n\n\n\n<li>Measures: categorization and computations<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<p class=\"has-pale-ocean-gradient-background has-background has-medium-font-size\"><strong>Module: Artificial Intelligence<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Introduction <\/strong><\/li>\n\n\n\n<li><strong>Search: <\/strong>\n<ul class=\"wp-block-list\">\n<li>Informed, <\/li>\n\n\n\n<li>Uninformed, <\/li>\n\n\n\n<li>Adversarial. <\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Logic,<\/strong> \n<ul class=\"wp-block-list\">\n<li>Propositional, <\/li>\n\n\n\n<li>Predicate. <\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Reasoning under uncertainty  <\/strong>\n<ul class=\"wp-block-list\">\n<li>Conditional independence representation, <\/li>\n\n\n\n<li>Exact inference through variable elimination,  <\/li>\n\n\n\n<li>Approximate inference through sampling<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<p class=\"has-pale-ocean-gradient-background has-background has-medium-font-size\"><strong>Module: Machine Learning<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Introduction<\/li>\n\n\n\n<li>Supervised Learning: \n<ul class=\"wp-block-list\">\n<li>regression and classification problems, <\/li>\n\n\n\n<li>simple linear regression, <\/li>\n\n\n\n<li>multiple linear regression, <\/li>\n\n\n\n<li>ridge regression, <\/li>\n\n\n\n<li>logistic regression,<\/li>\n\n\n\n<li> k-nearest neighbour, <\/li>\n\n\n\n<li>naive Bayes classifier, <\/li>\n\n\n\n<li>Linear discriminant analysis, <\/li>\n\n\n\n<li>support vector machine, <\/li>\n\n\n\n<li>decision trees, <\/li>\n\n\n\n<li>bias\u0002variance trade-off, <\/li>\n\n\n\n<li>cross-validation \n<ul class=\"wp-block-list\">\n<li>Leave-one-out (LOO) cross-validation, <\/li>\n\n\n\n<li>k-folds cross-validation, <\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Feed-forward neural network; <\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Unsupervised Learning:\n<ul class=\"wp-block-list\">\n<li>Multi-layer perceptron, <\/li>\n\n\n\n<li>Clustering algorithms, <\/li>\n\n\n\n<li>k-means\/k-medoid, <\/li>\n\n\n\n<li>Hierarchical clustering, <\/li>\n\n\n\n<li>Top-down, <\/li>\n\n\n\n<li>Bottom-up: <\/li>\n\n\n\n<li>Single linkage, <\/li>\n\n\n\n<li>Multiple-linkage, <\/li>\n\n\n\n<li>Dimensionality reduction, <\/li>\n\n\n\n<li>Principal component analysis<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<p class=\"has-pale-ocean-gradient-background has-background has-medium-font-size\"><strong>Reference<\/strong> <strong>Web Resources <\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><a href=\"https:\/\/github.com\/DS-AI-GATE\/dsai-gate?tab=readme-ov-file\">GitHub &#8211; DS-AI-GATE\/dsai-gate: A Repository consisting resources primarily of the Gate DA and AI<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.analyticsvidhya.com\/blog\/2023\/12\/unlocking-the-gate-to-data-science-your-ultimate-study-guide-for-gate-in-ds-ai\/\">Your Ultimate Study Guide for GATE 2025 in DS &amp; AI<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.geeksforgeeks.org\/machine-learning\/\">Machine Learning Tutorial &#8211; GeeksforGeeks<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.geeksforgeeks.org\/100-days-of-gate-data-science-ai\/\">100 Days of GATE Data Science and AI \u2013 A Complete Guide For Beginners &#8211; GeeksforGeeks<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.geeksforgeeks.org\/batch\/gate-da-test-series-2025?tab=Chapters\">GATE DA 2025 Online Test Series [FREE]<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/blog.madeeasy.in\/how-to-prepare-for-gate-data-science-and-ai-da\">How to prepare for GATE Data Science and Artificial Intelligence?<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.researchgate.net\/publication\/374616685_For_all_GATE_Data_Science_Artificial_Intelligence_preparing_students_hope_this_PPT_will_be_useful_Contents_taken_from_various_sources\">For all GATE Data Science &amp; Artificial Intelligence preparing students, hope this PPT will be useful. Contents taken from various sources.<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.amazon.in\/GATE-2025-Data-Science-Artificial-Intelligence-ebook\/dp\/B0D3HHW45X\">GATE-2025 : Data Science and Artificial Intelligence eBook : Kumar, Dr. Rajesh: Amazon.in: Kindle Store<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.pw.live\/exams\/gate\/gate-data-science-and-artificial-intelligence-syllabus\/\">GATE Data Science And Artificial Intelligence Syllabus 2025 PDF<\/a><\/li>\n<\/ol>\n\n\n\n<p class=\"has-pale-ocean-gradient-background has-background has-medium-font-size\"><strong>Video Resources <\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li class=\"has-medium-font-size\"><a href=\"https:\/\/www.youtube.com\/watch?v=n0dvQG91M_k\"><strong>Best Book For GATE Data Science And AI | GATE Wallah<\/strong><\/a><\/li>\n<\/ol>\n\n\n\n<p class=\"has-pale-ocean-gradient-background has-background has-medium-font-size\"><strong>Previous GATE Question Papers<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li class=\"has-medium-font-size\"><a href=\"https:\/\/gate2024.iisc.ac.in\/wp-content\/uploads\/2023\/10\/DataScienceAISampleQuestionPaper.pdf\"><strong>DSAI_GATE_Sample_Question_Paper<\/strong><\/a><\/li>\n\n\n\n<li class=\"has-medium-font-size\"><a href=\"https:\/\/tocxten.com\/wp-content\/uploads\/2025\/01\/DA24S1.pdf\"><strong>GATE 2024 Question paper<\/strong><\/a><\/li>\n\n\n\n<li class=\"has-medium-font-size\"><a href=\"https:\/\/tocxten.com\/wp-content\/uploads\/2025\/01\/DAFinalAnswerKey.pdf\"><strong>GATE 2024 Answer Key<\/strong><\/a><\/li>\n\n\n\n<li class=\"has-medium-font-size\"><a href=\"https:\/\/gate2025.iitr.ac.in\/doc\/2025\/2025_QP\/DA.pdf\"><strong>GATE 2025 Question Paper<\/strong><\/a><\/li>\n\n\n\n<li class=\"has-medium-font-size\"><a href=\"https:\/\/gate2025.iitr.ac.in\/doc\/2025\/2025_Key\/DA_Keys.pdf\"><strong>GATE 2025 Answer Key<\/strong><\/a><\/li>\n\n\n\n<li class=\"has-medium-font-size\"><a href=\"http:\/\/ndl.iitkgp.ac.in\/cd_document\/gate\/cs\"><strong>GATE CSE Question Papers<\/strong><\/a><\/li>\n<\/ol>\n\n\n\n<p class=\"has-pale-ocean-gradient-background has-background\"><\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Syllabus GATE Syllabus Module: Probability and Statistics Module: Linear Algebra Module: Calculus and Optimization Module : Programming, Data Structures and Algorithms: Module: Database Management and Warehousing Module: Artificial Intelligence Module:&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-34111","page","type-page","status-publish","hentry"],"post_mailing_queue_ids":[],"_links":{"self":[{"href":"https:\/\/tocxten.com\/index.php\/wp-json\/wp\/v2\/pages\/34111","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/tocxten.com\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/tocxten.com\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/tocxten.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/tocxten.com\/index.php\/wp-json\/wp\/v2\/comments?post=34111"}],"version-history":[{"count":40,"href":"https:\/\/tocxten.com\/index.php\/wp-json\/wp\/v2\/pages\/34111\/revisions"}],"predecessor-version":[{"id":42431,"href":"https:\/\/tocxten.com\/index.php\/wp-json\/wp\/v2\/pages\/34111\/revisions\/42431"}],"wp:attachment":[{"href":"https:\/\/tocxten.com\/index.php\/wp-json\/wp\/v2\/media?parent=34111"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}