Thiruvalluvar University Bsc Maths Syllabus

Can you provide me the syllabus for B.Sc. (Bachelor of Science) Mathematics Program offered by Thiruvalluvar University as my exams are nearby and I need it for preparation of the exam?

[KunwarR]

The syllabus for B.Sc. (Bachelor of Science) Mathematics Program offered by Thiruvalluvar University is as follows:


I SEMESTER

PAPER I

ALGEBRA

Objectives
In this Course students are exposed to topics like Theory of Equations, Summation of
Series, Matrices, Continued Fractions and Elementary Number Theory. The stress is
on the development of problem solving skills.


UNIT-I: THEORY OF EQUATIONS
Polynomial Equations - Imaginary and Irrational roots - Symmetric Functions of roots in terms of Coefficients - Sum of r-th powers of roots - Reciprocal Equations - Transformation of Equations.


UNIT-II: THEORY OF EQUATIONS (Contd)
Descartes Rule of Signs - Approximate Solutions of Polynomials by Horners method
- Newton Raphson method of Solution of a Cubic Polynomial.


UNIT-III: SUMMATION OF SERIES
Summation of series using Binomial - Exponential and Logarithmic series (Theorems without proofs) - Approximation using Binomial & Exponential series.


UNIT-IV: MATRICES
Symmetric - Skew symmetric, - Hermitian - Skew Hermitian - Orthogonal and Unitary Matrices - Rank of Matrix - Consistency and Solutions of Linear Systems - Cayley-Hamilton Theorem(without proof) -Eigen Values-Eigen Vectors-Similar Matrices - Diagonalisation of a Matrix.


UNIT-V: ELEMENTARY NUMBER THEORY
Prime Number - Composite Number - Decomposition of a Composite Number as a
Product of Primes uniquely (without proof) - Divisors of a Positive Integer -
Congruence Modulo n - Euler Function (without Proof) - Highest Power of a Prime
Number p contained in n! - Fermats and Wilsons Theorems.


Recommended Texts
1. T.K.Manicavachagom Pillay, T.Natarajan and K.S.Ganapathy. (2004) Algebra,
Volume I & II S.Viswanathan Printers & Publishers Pvt. Ltd. Chennai.
2. P.Kandasamy, K.Thilagavathy (2004), Mathematic for B.Sc. Vol-I, II, III & IV,
S.Chand & Company Ltd., New Delhi-55.


Reference Books
1. S.Arumugam (2003) Algebra. New Gamma Publishing House, Palayamkottai.
2. A.Singaravelu (2003) Algebra and Trigonometry, Vol.-I & II Meenakshi Agency,
Chennai.
3. S.Sudha.(1998) Algebra and Trigonometry. Emerald Publishes, Chennai.



Syllabus B.Sc. Mathematics Thiruvalluvar University