UNIVERSITY OF MADRAS
Bachelor in Computer Applications (BCA)
SEMESTER SYSTEM WITH CREDITS
(Effective from the Academic Year 2003-2004)

SYLLABUS

Semester II - BCA107 - Mathematics-II

Lecturer/Lab Hours per Week: 6
Duration: 3 hrs
Max Makrs: 100
Credit: 4

Unit - I:

Differential calculus: Functions and limits - Differentiation - successive differentiation - partial differentiation - maxima and minima - Tangents- normal - curvature and envelopes ( simple problems).

Unit- II :

Integral calculus: Integration - Defmite integrals - Reduction formulae - Geometric applications of integration area, volume are length. (simple problems)

Unit - III :

Fourier series of Periodic functions on the interval [c, c+2pi] - Half-range series in [0,2pi] - Fourier Transforms.

Unit - IV :

Three dimensional Analytical Geometry: The plane - The straight line - the sphere - the cone and the cylinders - (Standard equations and simple properties)

Unit - V :

Ordinary Differential equations: First order but of higher degree equations - Second order and non-homogeneous linear differential equations with constant coefficients - second -order linear differential equations with variable coefficients(Euler’s form only).

Books for Study and Reference:

1. Bernard Kolman and Robert C. Busby: Discrete mathematical structures for Computer science 2.ed., Printice Hall, N.J. (1987)
2. Olympia Nicodemi: Discrete Mathematics, CBS Pub. & Distributors, New Delhi, 1989.
3. Vatssa B. S. : Discrete Mathematics, 3 ed. Wishwa Prakashan, New Delhi, 1986.
4. Venkataraman, M. K.: Engineering Mathematics - Vol-I & 2, The National Pub. Co., Madras (1993 and 1992)
5. Alan Doerr and Kenneth Levasseur : Applied Discrete Structures for computer science, Galgot;a publications pvt, Ltd., New Delhi, 1988.
6. P. Duaripandian, S. Udayabaskaran and S. Rajalakshmi, Allied Mathematics, Muhil Publishers, 2002.
7. M.K. Venkataraman, Advanced Mathematics for Engineers and Scientists, The National Pub. Co.