{"id":53081,"date":"2023-04-07T07:10:38","date_gmt":"2023-04-07T07:10:38","guid":{"rendered":"https:\/\/www.inspirenignite.com\/anna-university\/oma353-algebra-and-number-theory-syllabus-for-production-2021-regulation-open-elective-iii\/"},"modified":"2023-04-07T07:10:38","modified_gmt":"2023-04-07T07:10:38","slug":"oma353-algebra-and-number-theory-syllabus-for-production-2021-regulation-open-elective-iii","status":"publish","type":"post","link":"https:\/\/www.inspirenignite.com\/anna-university\/oma353-algebra-and-number-theory-syllabus-for-production-2021-regulation-open-elective-iii\/","title":{"rendered":"OMA353: Algebra and Number Theory syllabus for Production 2021 regulation (Open Elective-III)"},"content":{"rendered":"

Algebra and Number Theory detailed syllabus for Production Engineering (Production) for 2021 regulation curriculum has been taken from the Anna Universities<\/a> official website and presented for the Production students. For course code, course name, number of credits for a course and other scheme related information, do visit full semester subjects post given below. <\/p>\n

For Production Engineering 7th Sem scheme and its subjects, do visit Production 7th Sem 2021 regulation scheme<\/a>. For Open Elective-III scheme and its subjects refer to Production Open Elective-III syllabus scheme<\/a>. The detailed syllabus of algebra and number theory is as follows. <\/p>\n

Algebra and Number Theory<\/title><\/p>\n<h4>Course Objectives:<\/h4>\n<h4 id=\"istudy\" style=\"text-align:center\"><a class=\"rank-math-link\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" style=\"color: inherit\" target=\"_blank\" rel=\"noopener\">Download the iStudy App for all syllabus and other updates.<\/a><br \/><a class=\"rank-math-link\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy&pcampaignid=pcampaignidMKT-Other-global-all-co-prtnr-py-PartBadge-Mar2515-1\" target=\"_blank\" rel=\"noopener\"><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;text-align:center\"><\/a><\/h4>\n<h4>Unit I<\/h4>\n<p> <strong>GROUPS AND RINGS 9<\/strong> Groups: Definition – Properties – Homomorphism – Isomorphism – Cyclic groups – Cosets -Lagrange’s theorem. Rings: Definition – Sub rings – Integral domain – Field – Integer modulo n – Ring homomorphism.<\/p>\n<h4>Unit II<\/h4>\n<h4 id=\"istudy\" style=\"text-align:center\"><a class=\"rank-math-link\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" style=\"color: inherit\" target=\"_blank\" rel=\"noopener\">Download the iStudy App for all syllabus and other updates.<\/a><br \/><a class=\"rank-math-link\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy&pcampaignid=pcampaignidMKT-Other-global-all-co-prtnr-py-PartBadge-Mar2515-1\" target=\"_blank\" rel=\"noopener\"><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;text-align:center\"><\/a><\/h4>\n<h4>Unit III<\/h4>\n<p> <strong>DIVISIBILITY THEORY AND CANONICAL DECOMPOSITIONS 9<\/strong> Division algorithm- Base-b representations – Number patterns – Prime and composite numbers -GCD – Euclidean algorithm – Fundamental theorem of arithmetic – LCM.<\/p>\n<h4>Unit IV<\/h4>\n<h4 id=\"istudy\" style=\"text-align:center\"><a class=\"rank-math-link\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" style=\"color: inherit\" target=\"_blank\" rel=\"noopener\">Download the iStudy App for all syllabus and other updates.<\/a><br \/><a class=\"rank-math-link\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy&pcampaignid=pcampaignidMKT-Other-global-all-co-prtnr-py-PartBadge-Mar2515-1\" target=\"_blank\" rel=\"noopener\"><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;text-align:center\"><\/a><\/h4>\n<h4>Unit V<\/h4>\n<p> <strong>CLASSICAL THEOREMS AND MULTIPLICATIVE FUNCTIONS 9<\/strong> Wilsons theorem – Fermats Little theorem – Eulers theorem – Eulers Phi functions – Tau and Sigma functions.<\/p>\n<h4>Course Outcomes:<\/h4>\n<h4 id=\"istudy\" style=\"text-align:center\"><a class=\"rank-math-link\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" style=\"color: inherit\" target=\"_blank\" rel=\"noopener\">Download the iStudy App for all syllabus and other updates.<\/a><br \/><a class=\"rank-math-link\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy&pcampaignid=pcampaignidMKT-Other-global-all-co-prtnr-py-PartBadge-Mar2515-1\" target=\"_blank\" rel=\"noopener\"><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;text-align:center\"><\/a><\/h4>\n<h4>Text Books:<\/h4>\n<ol>\n<li>Grimaldi, R.P and Ramana, B.V., “Discrete and Combinatorial Mathematics”, Pearson Education, 5th Edition, New Delhi, 2007.<\/li>\n<li>Thomas Koshy, Elementary Number Theory with Applications, Elsevier Publications , New Delhi , 2002.<\/li>\n<\/ol>\n<h4>Reference Books:<\/h4>\n<ol>\n<li>San Ling and Chaoping Xing, Coding Theory – A first Course, Cambridge Publications, Cambridge, 2004.<\/li>\n<li>Niven.I, Zuckerman.H.S., and Montgomery, H.L., An Introduction to Theory of Numbers , John Wiley and Sons , Singapore, 2004.<\/li>\n<li>Lidl.R., and Pitz. G, “Applied Abstract Algebra”, Springer Verlag, New Delhi, 2nd Edition , 2006.<\/li>\n<\/ol>\n<p align=\"justify\">For detailed syllabus of all the other subjects of Production Engineering 7th Sem, visit <a class=\"rank-math-link\" href=\"..\/category\/production+7th-sem\">Production 7th Sem subject syllabuses for 2021 regulation<\/a>. <\/p>\n<p align=\"justify\">For all Production Engineering results, visit <a class=\"rank-math-link\" href=\"https:\/\/www.inspirenignite.com\/anna-university\/anna-university-results\/\">Anna University Production all semester results<\/a> direct link. <\/p>\n","protected":false},"excerpt":{"rendered":"<p>Algebra and Number Theory detailed syllabus for Production Engineering (Production) for 2021 regulation curriculum has been taken from the Anna Universities official website and presented for the Production students. For […]<\/p>\n","protected":false},"author":2297,"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":[63],"tags":[],"class_list":["post-53081","post","type-post","status-publish","format-standard","hentry","category-production"],"_links":{"self":[{"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/posts\/53081","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/users\/2297"}],"replies":[{"embeddable":true,"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/comments?post=53081"}],"version-history":[{"count":0,"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/posts\/53081\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/media?parent=53081"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/categories?post=53081"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/tags?post=53081"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}