UNIVERSITY OF MADRAS
B.Sc. DEGREE COURSE IN SOFTWARE ENGINEERING
SEMESTER SYSTEM WITH CREDITS
(Effective from the Academic Year 2003-2004)

SYLLABUS

Semester II - CST 106 - Mathematics II

Lecture Per Week: 6 hrs
Duration of Examination: 3 hrs
Maximum Marks: 100
Credits: 4

Unit I

Theory of Equations: Relations between roots and coefficient of polynomials - formation of equations - decreasing and increasing the roots - reciprocal equation, Homer's methods to find the roots of polynomial equation.

Unit II

Evaluation of multiple integrals - Double and Triple integrals - geometrical meaning of double integrals - change of order of intlegration - double integrals in polar co ordinates - problems

Unit III

Application of multiple integrals to find area and volume of solid

Unit IV

Vector Calculus: Differential of vectors - gradient, divergence and curl - directional derivative - irrotational and solenoidal fields.

Unit V

Vector Integration: Line, surface and volume integrals - Green's theorem in a plane, Gauss divergence theorem and stoke's theorem (without proof) - simple applications.

Books for Study and Reference

1. 'Engineering Mathematics', JJ Publications, Madurai 1996.

2. Venkatraman M.K, Engineering Mathematics, (VII & II) The National Pub.Co, 1981

3. Narayanan S, Manickavachangam Pillai T.K, Ramanian G, Advanced mathematics for Engineering Students (Vol.I) S.Viswanathan (Printers & Publisher) Pvt Ltd 1986.

4. Kandaswamy P, Thilgavathy K, and Gunavathy K, Engineering Mathematics, (Vol.I & II) S.Chand Co, New Delhi Vol.II 1990