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20th January 2020, 02:02 PM
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Re: Madras University Allied Maths-1

Can you provide me the syllabus for BSc (Bachelor of Science) Mathematics Program offered by Institute of Distance Education of University of Madras?
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20th January 2020, 02:05 PM
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Re: Madras University Allied Maths-1

The syllabus for BSc (Bachelor of Science) Mathematics Program offered by Institute of Distance Education of University of Madras is as follows:


SYLLABUS

CORE PAPER I-ALGEBRA

Unit- 1
Polynomial equations; Imaginary and irrational roots; Relation between roots and coefficients: Symmetric functions of roots in terms of coefficients; Transformations of equations; Reciprocal equations
Chapter 6 Section 9 to 12, 15, 15.1,15.2,15.3, 16, 16.1,16.2.

Unit-2
Increase or decrease the roots of the given equation: Removal of term: Descartes’ rule of signs: Approximate solutions of roots of polynomials by Horner’s method; Cardan’s method of solution of a cubic polynomial. Summation of Series using Binomial, Exponential and Logarithmic series:
Chapter 6: Section 17, 19, 24, 30, 34, 34.1
Chapter 3: Section 10, Chapter 4: Section 3, 3.1, 7.

Unit-3
Symmetric; Skew Symmetric; Hermitian; Skew Hermitian; Orthogonal Matrices; Eigen values; Eigen Vectors; Cayley - Hamilton Theorem; Similar matrices; Diagonalization of a matrix
Chapter 2, Section 6.1 to 6.3, 9.1, 9.2 , 16 , 16.1,16.2 16.3

Unit-4
Prime number; Composite number; decomposition of a composite number as a product of primes uniquely; divisors of a positive integer n; Euler function.
Chapter 5, Section 1 to 11

Unit-5
Congruence modulo n; highest power of a prime number p contained in n! ; Fermat’s and Wilson’s theorems
Chapter 5, Section 12 to 17

Contents and treatment as in

Unit – 1 and 2
Algebra Volume I by T. K. Manicavachagam Pillay,T.Natarajan, K.S.Ganapathy, Viswanathan Publication 2007

Unit – 3, 4 and 5
Algebra Volume II by T. K. Manicavachagom Pillay,T.Natarajan ,K.S.Ganapathy, Viswanathan Publication 2008

Reference Books:-
1. Algebra: by S. Arumugam (New Gama publishing house, Palayamkottai)


Syllabus BSc Mathematics - Institute of Distance Education of University of Madras







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