OMA353: Algebra and Number Theory syllabus for CSE 2021 regulation (Open Elective-III)

Algebra and Number Theory detailed syllabus for Computer Science & Engineering (CSE) for 2021 regulation curriculum has been taken from the Anna Universities official website and presented for the CSE 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.

For Computer Science & Engineering 7th Sem scheme and its subjects, do visit CSE 7th Sem 2021 regulation scheme. For Open Elective-III scheme and its subjects refer to CSE Open Elective-III syllabus scheme. The detailed syllabus of algebra and number theory is as follows.

Course Objectives:

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Unit I

GROUPS AND RINGS 9 Groups: Definition – Properties – Homomorphism – Isomorphism – Cyclic groups – Cosets -Lagrange’s theorem. Rings: Definition – Sub rings – Integral domain – Field – Integer modulo n – Ring homomorphism.

Unit II

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Unit III

DIVISIBILITY THEORY AND CANONICAL DECOMPOSITIONS 9 Division algorithm- Base-b representations – Number patterns – Prime and composite numbers -GCD – Euclidean algorithm – Fundamental theorem of arithmetic – LCM.

Unit IV

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Unit V

CLASSICAL THEOREMS AND MULTIPLICATIVE FUNCTIONS 9 Wilsons theorem – Fermats Little theorem – Eulers theorem – Eulers Phi functions – Tau and Sigma functions.

Course Outcomes:

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Text Books:

1. Grimaldi, R.P and Ramana, B.V., “Discrete and Combinatorial Mathematics”, Pearson Education, 5th Edition, New Delhi, 2007.
2. Thomas Koshy, Elementary Number Theory with Applications, Elsevier Publications , New Delhi , 2002.

Reference Books:

1. San Ling and Chaoping Xing, Coding Theory – A first Course, Cambridge Publications, Cambridge, 2004.
2. Niven.I, Zuckerman.H.S., and Montgomery, H.L., An Introduction to Theory of Numbers , John Wiley and Sons , Singapore, 2004.
3. Lidl.R., and Pitz. G, “Applied Abstract Algebra”, Springer Verlag, New Delhi, 2nd Edition , 2006.

For detailed syllabus of all the other subjects of Computer Science & Engineering 7th Sem, visit CSE 7th Sem subject syllabuses for 2021 regulation.

For all Computer Science & Engineering results, visit Anna University CSE all semester results direct link.