{"id":1009,"date":"2023-02-05T10:12:16","date_gmt":"2023-02-05T10:12:16","guid":{"rendered":"https:\/\/www.inspirenignite.com\/ts\/mathematical-foundations-of-computer-science-syllabus-for-mca-1st-year-1st-sem-r22-regulation-jntuh\/"},"modified":"2023-02-05T10:12:16","modified_gmt":"2023-02-05T10:12:16","slug":"mathematical-foundations-of-computer-science-syllabus-for-mca-1st-year-1st-sem-r22-regulation-jntuh","status":"publish","type":"post","link":"https:\/\/www.inspirenignite.com\/ts\/mathematical-foundations-of-computer-science-syllabus-for-mca-1st-year-1st-sem-r22-regulation-jntuh\/","title":{"rendered":"Mathematical Foundations of Computer Science syllabus for MCA 1st Year 1st Sem R22 regulation JNTUH"},"content":{"rendered":"<p align=\"justify\">Mathematical Foundations of Computer Science detailed syllabus for Master of Computer Applications(MCA), R22 regulation has been taken from the <a href=\"https:\/\/jntuh.ac.in\/syllabus\/\" style=\"color: inherit\" rel=\"nofollow noopener\" target=\"_blank\">JNTUH<\/a> official website and presented for the students affiliated to JNTUH course structure. For Course Code, Subject Names, Theory Lectures, Tutorial, Practical\/Drawing, Credits, and other information do visit full semester subjects post given below. The syllabus PDF files can also be downloaded from the universities official website.<\/p>\n<p align=\"justify\">For all other MCA 1st Year 1st Sem syllabus for R22 regulation JNTUH, do visit <a href=\"..\/mca-1st-year-1st-sem-syllabus-for-r22-regulation-jntuh\">MCA 1st Year 1st Sem syllabus for R22 regulation JNTUH <\/a>subjects. The detailed syllabus for mathematical foundations of computer science is as follows.  <\/p>\n<h4>Prerequisites:<\/h4>\n<p id=\"istudy\" style=\"text-align:center\">For the complete Syllabus, results, class timetable, and many other features kindly download the <a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" rel=\"nofollow noopener\" target=\"_blank\">iStudy App<\/a><br \/><b> It is a lightweight, easy to use, no images, and no pdfs platform to make students&#8217;s lives easier.<\/b><br \/><a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy&amp;pcampaignid=pcampaignidMKT-Other-global-all-co-prtnr-py-PartBadge-Mar2515-1\" rel=\"nofollow noopener\" target=\"_blank\"><img decoding=\"async\" src=\"https:\/\/play.google.com\/intl\/en_us\/badges\/static\/images\/badges\/en_badge_web_generic.png\" alt=\"Get it on Google Play\" style=\"height:65px\"><\/a>.  <\/p>\n<h4>Course Objectives:<\/h4>\n<p>  To learn<\/p>\n<ul>\n<li>Introduces the elementary discrete mathematics for computer science and engineering.<\/li>\n<li>Topics include formal logic notation, methods of proof, induction, sets, relations, graph theory, permutations and combinations, counting principles; recurrence relations and generating functions.<\/li>\n<\/ul>\n<h4>Course Outcomes:<\/h4>\n<p>  After learning the contents of this paper the student must be able to<\/p>\n<ul>\n<li>Ability to understand and construct precise mathematical proofs.<\/li>\n<li>Ability to use logic and set theory to formulate precise statements.<\/li>\n<li>Ability to analyze and solve counting problems on finite and discrete structures.<\/li>\n<li>Ability to describe and manipulate sequences.<\/li>\n<li>Ability to apply graph theory in solving computing problems.<\/li>\n<\/ul>\n<h4>Unit -I<\/h4>\n<p id=\"istudy\" style=\"text-align:center\">For the complete Syllabus, results, class timetable, and many other features kindly download the <a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" rel=\"nofollow noopener\" target=\"_blank\">iStudy App<\/a><br \/><b> It is a lightweight, easy to use, no images, and no pdfs platform to make students&#8217;s lives easier.<\/b><br \/><a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy&amp;pcampaignid=pcampaignidMKT-Other-global-all-co-prtnr-py-PartBadge-Mar2515-1\" rel=\"nofollow noopener\" target=\"_blank\"><img decoding=\"async\" src=\"https:\/\/play.google.com\/intl\/en_us\/badges\/static\/images\/badges\/en_badge_web_generic.png\" alt=\"Get it on Google Play\" style=\"height:65px\"><\/a>.  <\/p>\n<h4>Unit -II<\/h4>\n<p>  Basic Structures, Sets, Functions, Sequences, Sums, Matrices and Relations: Sets, Functions, Sequences and Summations, Cardinality of Sets and Matrices Relations, Relations and Their Properties, n-ary Relations and Their Applications, Representing Relations, Closures of Relations, Equivalence Relations, Partial Orderings.<\/p>\n<h4>Unit -III<\/h4>\n<p>  Algorithms, Induction and Recursion: Algorithms, The Growth of Functions, Complexity of Algorithms. Induction and Recursion: Mathematical Induction, Strong Induction and Well-Ordering, Recursive Definitions and Structural Induction, Recursive Algorithms, Program Correctness.<\/p>\n<h4>Unit -IV<\/h4>\n<p id=\"istudy\" style=\"text-align:center\">For the complete Syllabus, results, class timetable, and many other features kindly download the <a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" rel=\"nofollow noopener\" target=\"_blank\">iStudy App<\/a><br \/><b> It is a lightweight, easy to use, no images, and no pdfs platform to make students&#8217;s lives easier.<\/b><br \/><a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy&amp;pcampaignid=pcampaignidMKT-Other-global-all-co-prtnr-py-PartBadge-Mar2515-1\" rel=\"nofollow noopener\" target=\"_blank\"><img decoding=\"async\" src=\"https:\/\/play.google.com\/intl\/en_us\/badges\/static\/images\/badges\/en_badge_web_generic.png\" alt=\"Get it on Google Play\" style=\"height:65px\"><\/a>.  <\/p>\n<h4>Unit -V<\/h4>\n<p>  Graphs: Graphs and Graph Models, Graph Terminology and Special Types of Graphs, Representing Graphs and Graph Isomorphism, Connectivity, Euler and Hamilton Paths, Shortest-Path Problems, Planar Graphs, Graph Coloring. Trees: Introduction to Trees, Applications of Trees, Tree Traversal, Spanning Trees, Minimum Spanning Trees.<\/p>\n<h4>Text Books:<\/h4>\n<ol>\n<li>Discrete Mathematical Structures with Applications to Computer Science: J.P. Tremblay, R. Manohar, McGraw-Hill, 1st ed.<\/li>\n<li>Discrete Mathematics for Computer Scientists and Mathematicians: Joe l. Mott, Abraham Kandel, Teodore P. Baker, Prentis Hall of India, 2nd ed.<\/li>\n<\/ol>\n<h4>Reference Books:<\/h4>\n<p id=\"istudy\" style=\"text-align:center\">For the complete Syllabus, results, class timetable, and many other features kindly download the <a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" rel=\"nofollow noopener\" target=\"_blank\">iStudy App<\/a><br \/><b> It is a lightweight, easy to use, no images, and no pdfs platform to make students&#8217;s lives easier.<\/b><br \/><a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy&amp;pcampaignid=pcampaignidMKT-Other-global-all-co-prtnr-py-PartBadge-Mar2515-1\" rel=\"nofollow noopener\" target=\"_blank\"><img decoding=\"async\" src=\"https:\/\/play.google.com\/intl\/en_us\/badges\/static\/images\/badges\/en_badge_web_generic.png\" alt=\"Get it on Google Play\" style=\"height:65px\"><\/a>.<\/p>\n<p align=\"justify\">For detail syllabus of all other subjects of Master of Computer Applications 1st Year, visit <a href=\"..\/category\/mca+1st-year\">MCA 1st Year syllabus<\/a> subjects.<\/p>\n<p align=\"justify\">For all MCA results, visit <a href=\"https:\/\/www.inspirenignite.com\/ts\/category\/results\/\">JNTUH MCA all years, and semester results <\/a>from direct links.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Mathematical Foundations of Computer Science detailed syllabus for Master of Computer Applications(MCA), R22 regulation has been taken from the JNTUH official website and presented for the students affiliated to JNTUH [&hellip;]<\/p>\n","protected":false},"author":2344,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_bbp_topic_count":0,"_bbp_reply_count":0,"_bbp_total_topic_count":0,"_bbp_total_reply_count":0,"_bbp_voice_count":0,"_bbp_anonymous_reply_count":0,"_bbp_topic_count_hidden":0,"_bbp_reply_count_hidden":0,"_bbp_forum_subforum_count":0,"footnotes":""},"categories":[5,35],"tags":[],"class_list":["post-1009","post","type-post","status-publish","format-standard","hentry","category-1st-year","category-mca"],"_links":{"self":[{"href":"https:\/\/www.inspirenignite.com\/ts\/wp-json\/wp\/v2\/posts\/1009","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.inspirenignite.com\/ts\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.inspirenignite.com\/ts\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.inspirenignite.com\/ts\/wp-json\/wp\/v2\/users\/2344"}],"replies":[{"embeddable":true,"href":"https:\/\/www.inspirenignite.com\/ts\/wp-json\/wp\/v2\/comments?post=1009"}],"version-history":[{"count":0,"href":"https:\/\/www.inspirenignite.com\/ts\/wp-json\/wp\/v2\/posts\/1009\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.inspirenignite.com\/ts\/wp-json\/wp\/v2\/media?parent=1009"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/ts\/wp-json\/wp\/v2\/categories?post=1009"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/ts\/wp-json\/wp\/v2\/tags?post=1009"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}