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

Algebra and Number Theory detailed syllabus for Electronics & Communication Engineering (ECE) for 2021 regulation curriculum has been taken from the Anna Universities official website and presented for the ECE 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 Electronics & Communication Engineering 7th Sem scheme and its subjects, do visit ECE 7th Sem 2021 regulation scheme. For Open Elective-III scheme and its subjects refer to ECE 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 Electronics & Communication Engineering 7th Sem, visit ECE 7th Sem subject syllabuses for 2021 regulation.

For all Electronics & Communication Engineering results, visit Anna University ECE all semester results direct link.