{"id":19235,"date":"2019-12-10T05:46:30","date_gmt":"2019-12-10T05:46:30","guid":{"rendered":"https:\/\/www.inspirenignite.com\/anna-university\/algebra-and-number-theory-it-5th-sem-syllabus-for-be-2017-regulation-anna-univ\/"},"modified":"2019-12-10T05:46:30","modified_gmt":"2019-12-10T05:46:30","slug":"algebra-and-number-theory-it-5th-sem-syllabus-for-be-2017-regulation-anna-univ","status":"publish","type":"post","link":"https:\/\/www.inspirenignite.com\/anna-university\/algebra-and-number-theory-it-5th-sem-syllabus-for-be-2017-regulation-anna-univ\/","title":{"rendered":"Algebra and Number Theory It 5th Sem Syllabus for BE 2017 Regulation Anna Univ"},"content":{"rendered":"<p>Algebra and Number Theory detail syllabus for Information Technology (It), 2017 regulation is taken from <a href=\"https:\/\/www.annauniv.edu\/\" target=\"_blank\" rel=\"noopener\">Anna University<\/a> official website and presented for students of Anna University. The details of the course are: course code (MA8551), Category (BS), Contact Periods\/week (4), Teaching hours\/week (4), Practical Hours\/week (0). The total course credits are given in combined syllabus.<\/p>\n<p>For all other it 5th sem syllabus for be 2017 regulation anna univ you can visit <a href=\"..\/it-5th-sem-syllabus-for-be-2017-regulation-anna-univ\">It 5th Sem syllabus for BE 2017 regulation Anna Univ Subjects<\/a>. The detail syllabus for algebra and number theory is as follows.&#8221;<\/p>\n<p><h4>Course Objective:<\/h4>\n<ul>\n<li>To introduce the basic notions of groups, rings, fields which will then be used to solve related problems.<\/li>\n<li>To introduce and apply the concepts of rings, finite fields and polynomials.<\/li>\n<li>To understand the basic concepts in number theory<\/li>\n<li>To examine the key questions in the Theory of Numbers.<\/li>\n<li>To give an integrated approach to number theory and abstract algebra, and provide a firm basis for further reading and study in the subject.<\/li>\n<\/ul>\n<p><h4>Unit I<\/h4>\n<p>For complete syllabus and results, class timetable and more pls <a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" target=\"_blank\" rel=\"noopener\">download iStudy<\/a>. Its a light weight, easy to use, no images, no pdfs platform to make students life easier.<\/p>\n<p><h4>Unit II<\/h4>\n<p><strong> Finite Fields and Polynomials<\/strong><br \/>\nRings &#8211; Polynomial rings &#8211; Irreducible polynomials over finite fields &#8211; Factorization of polynomials over finite fields.\n<\/p>\n<p><h4>Unit III<\/h4>\n<p><strong> Divisibility Theory and Canonical Decompositions<\/strong><br \/>\nDivision algorithm &#8211; Base &#8211; b representations &#8211; Number patterns &#8211; Prime and composite numbers -GCD &#8211; Euclidean algorithm &#8211; Fundamental theorem of arithmetic &#8211; LCM.\n<\/p>\n<p><h4>Unit IV<\/h4>\n<p>For complete syllabus and results, class timetable and more pls <a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" target=\"_blank\" rel=\"noopener\">download iStudy<\/a>. Its a light weight, easy to use, no images, no pdfs platform to make students life easier.<\/p>\n<p><h4>Unit V<\/h4>\n<p><strong> Classical Theorems and Multiplicative Functions<\/strong><br \/>\nWilsons theorem &#8211; Fermats little theorem &#8211; Eulers theorem &#8211; Eulers Phi functions &#8211; Tau and Sigma functions.\n<\/p>\n<p><h4>Course Outcome:<\/h4>\n<p>Upon successful completion of the course, students should be able to:<\/p>\n<ul>\n<li>Apply the basic notions of groups, rings, fields which will then be used to solve related problems.<\/li>\n<li>Explain the fundamental concepts of advanced algebra and their role in modern mathematics and applied contexts.<\/li>\n<li>Demonstrate accurate and efficient use of advanced algebraic techniques.<\/li>\n<li>Demonstrate their mastery by solving non &#8211; trivial problems related to the concepts, and by proving simple theorems about the, statements proven by the text.<\/li>\n<li>Apply integrated approach to number theory and abstract algebra, and provide a firm basis for further reading and study in the subject.<\/li>\n<\/ul>\n<p><h4>Text Books:<\/h4>\n<ol>\n<li>Grimaldi, R.P and Ramana, B.V., &#8220;Discrete and Combinatorial Mathematics&#8221;, Pearson Education, 5th Edition, New Delhi, 2007.<\/li>\n<li>Koshy, T., Elementary Number Theory with Applications, Elsevier Publications, New Delhi, 2002.<\/li>\n<\/ol>\n<p><h4>References:<\/h4>\n<ol>\n<li>Lidl, R. and Pitz, G, &#8220;Applied Abstract Algebra&#8221;, Springer Verlag, New Delhi, 2nd Edition, 2006.<\/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>San Ling and Chaoping Xing, Coding Theory &#8211; A first Course, Cambridge Publications, Cambridge, 2004.<\/li>\n<\/li>\n<\/ol>\n<p>For detail syllabus of all other subjects of BE It, 2017 regulation do visit <a href=\"..\/category\/it+5th-sem\">It 5th Sem syllabus for 2017 Regulation<\/a>.<\/p>\n<p>Dont forget to <a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" target=\"_blank\" rel=\"noopener\">download iStudy<\/a> for latest syllabus and results, class timetable and more.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Algebra and Number Theory detail syllabus for Information Technology (It), 2017 regulation is taken from Anna University official website and presented for students of Anna University. The details of the [&hellip;]<\/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":[48,72],"tags":[],"class_list":["post-19235","post","type-post","status-publish","format-standard","hentry","category-5th-sem","category-it"],"_links":{"self":[{"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/posts\/19235","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=19235"}],"version-history":[{"count":0,"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/posts\/19235\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/media?parent=19235"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/categories?post=19235"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/tags?post=19235"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}