{"id":55769,"date":"2023-08-28T16:05:58","date_gmt":"2023-08-28T16:05:58","guid":{"rendered":"https:\/\/www.inspirenignite.com\/anna-university\/oma353-algebra-and-number-theory-syllabus-for-csbs-2021-regulation-open-elective-iii\/"},"modified":"2023-08-28T16:05:58","modified_gmt":"2023-08-28T16:05:58","slug":"oma353-algebra-and-number-theory-syllabus-for-csbs-2021-regulation-open-elective-iii","status":"publish","type":"post","link":"https:\/\/www.inspirenignite.com\/anna-university\/oma353-algebra-and-number-theory-syllabus-for-csbs-2021-regulation-open-elective-iii\/","title":{"rendered":"OMA353: Algebra and Number Theory syllabus for CS&BS 2021 regulation (Open Elective-III)"},"content":{"rendered":"

Algebra and Number Theory detailed syllabus for Computer Science & Business Systems (CS&BS) for 2021 regulation curriculum has been taken from the Anna Universities<\/a> official website and presented for the CS&BS 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 Computer Science & Business Systems 7th Sem scheme and its subjects, do visit CS&BS 7th Sem 2021 regulation scheme<\/a>. For Open Elective-III scheme and its subjects refer to CS&BS Open Elective-III syllabus scheme<\/a>. The detailed syllabus of algebra and number theory is as follows. <\/p>\n

Course Objectives:<\/h4>\n

Download the iStudy App for all syllabus and other updates.<\/a>
\"Get<\/a><\/h4>\n

Unit I<\/h4>\n

GROUPS AND RINGS
\nGroups: Definition – Properties – Homomorphism – Isomorphism – Cyclic groups – Cosets – Lagrange’s theorem.
\nRings: Definition – Sub rings – Integral domain – Field – Integer modulo n – Ring homomorphism.\n<\/p>\n

Unit II<\/h4>\n

FINITE FIELDS AND POLYNOMIALS
\nRings – Polynomial rings – Irreducible polynomials over finite fields – Factorization of polynomials over finite fields.\n<\/p>\n

Unit III<\/h4>\n

Download the iStudy App for all syllabus and other updates.<\/a>
\"Get<\/a><\/h4>\n

Unit IV<\/h4>\n

DIOPHANTINE EQUATIONS AND CONGRUENCES
\nLinear Diophantine equations – Congruence\u2019s – Linear Congruence\u2019s – Applications : Divisibility tests – Modular exponentiation – Chinese remainder theorem – 2×2 linear systems.\n<\/p>\n

Unit V<\/h4>\n

CLASSICAL THEOREMS AND MULTIPLICATIVE FUNCTIONS
\nWilson\u2019s theorem – Fermat\u2019s Little theorem – Euler\u2019s theorem – Euler\u2019s Phi functions – Tau and Sigma functions.\n<\/p>\n

Course Outcomes:<\/h4>\n
    \n
  1. Explain the fundamental ^concepts\tof advanced algebra and their role in modern mathematics and applied contexts.<\/li>\n
  2. Demonstrate accurate and efficient use of advanced algebraic techniques.<\/li>\n
  3. The students should be able to demonstrate their mastery by solving non-trivial problems related to the concepts, and by proving simple theorems about the, statements proven by the text<\/li>\n<\/ol>\n

    Text Books:<\/h4>\n

    Download the iStudy App for all syllabus and other updates.<\/a>
    \"Get<\/a><\/h4>\n

    Reference Books:<\/h4>\n
      \n
    1. San Ling and Chaoping Xing, \u201cCoding Theory – A first Course\u201d, Cambridge Publications, Cambridge, 2004.<\/li>\n
    2. Niven.I, Zuckerman.H.S., and Montgomery, H.L., \u201cAn Introduction to Theory of Numbers\u201d , John Wiley and Sons , Singapore, 2004.<\/li>\n
    3. Lidl.R., and Pitz. G, “Applied Abstract Algebra”, Springer Verlag, New Delhi, 2nd Edition , 2006.<\/li>\n<\/li>\n<\/ol>\n

      For detailed syllabus of all the other subjects of Computer Science & Business Systems 7th Sem, visit CS&BS 7th Sem subject syllabuses for 2021 regulation<\/a>. <\/p>\n

      For all Computer Science & Business Systems results, visit Anna University CS&BS all semester results<\/a> direct link. <\/p>\n","protected":false},"excerpt":{"rendered":"

      Algebra and Number Theory detailed syllabus for Computer Science & Business Systems (CS&BS) for 2021 regulation curriculum has been taken from the Anna Universities official website and presented for the […]<\/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":[146],"tags":[],"class_list":["post-55769","post","type-post","status-publish","format-standard","hentry","category-csbs"],"_links":{"self":[{"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/posts\/55769","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=55769"}],"version-history":[{"count":0,"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/posts\/55769\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/media?parent=55769"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/categories?post=55769"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/anna-university\/wp-json\/wp\/v2\/tags?post=55769"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}