Algebra and Number Theory detail syllabus for Computer & Communication Engineering (C&C), 2017 regulation is taken from Anna University 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.
For all other c&c 5th sem syllabus for be 2017 regulation anna univ you can visit C&C 5th Sem syllabus for BE 2017 regulation Anna Univ Subjects. The detail syllabus for algebra and number theory is as follows.”
Course Objective:
- To introduce the basic notions of groups, rings, fields which will then be used to solve related problems.
- To introduce and apply the concepts of rings, finite fields and polynomials.
- To understand the basic concepts in number theory
- To examine the key questions in the Theory of Numbers.
- To give an integrated approach to number theory and abstract algebra, and provide a firm basis for further reading and study in the subject.
Unit I
For complete syllabus and results, class timetable and more pls download iStudy. Its a light weight, easy to use, no images, no pdfs platform to make students life easier.
Unit II
Finite Fields and Polynomials
Rings – Polynomial rings – Irreducible polynomials over finite fields – Factorization of polynomials over finite fields.
Unit III
Divisibility Theory and Canonical Decompositions
Division algorithm – Base – b representations – Number patterns – Prime and composite numbers -GCD – Euclidean algorithm – Fundamental theorem of arithmetic – LCM.
Unit IV
For complete syllabus and results, class timetable and more pls download iStudy. Its a light weight, easy to use, no images, no pdfs platform to make students life easier.
Unit V
Classical Theorems and Multiplicative Functions
Wilsons theorem – Fermats little theorem – Eulers theorem – Eulers Phi functions – Tau and Sigma functions.
Course Outcome:
Upon successful completion of the course, students should be able to:
- Apply the basic notions of groups, rings, fields which will then be used to solve related problems.
- Explain the fundamental concepts of advanced algebra and their role in modern mathematics and applied contexts.
- Demonstrate accurate and efficient use of advanced algebraic techniques.
- Demonstrate their mastery by solving non – trivial problems related to the concepts, and by proving simple theorems about the, statements proven by the text.
- Apply integrated approach to number theory and abstract algebra, and provide a firm basis for further reading and study in the subject.
Text Books:
- Grimaldi, R.P and Ramana, B.V., “Discrete and Combinatorial Mathematics”, Pearson Education, 5th Edition, New Delhi, 2007.
- Koshy, T., Elementary Number Theory with Applications, Elsevier Publications, New Delhi, 2002.
References:
- Lidl, R. and Pitz, G, “Applied Abstract Algebra”, Springer Verlag, New Delhi, 2nd Edition, 2006.
- Niven, I., Zuckerman.H.S., and Montgomery, H.L., An Introduction to Theory of Numbers, John Wiley and Sons , Singapore, 2004.
- San Ling and Chaoping Xing, Coding Theory – A first Course, Cambridge Publications, Cambridge, 2004.
For detail syllabus of all other subjects of BE C&C, 2017 regulation do visit C&C 5th Sem syllabus for 2017 Regulation.
Dont forget to download iStudy for latest syllabus and results, class timetable and more.