MATHEMATICS – IV (EXCEPT COMPUTER BRANCH)

MA 241                                                                                     No. of hrs/week=04                                                                                            No of credits = 04

Basic concepts of set theory, Permutations and Combinations, basic concepts of Probability, Baye’s theorem, Random variables – one & higher dimensional, mean and variance, covariance and correlation co-efficient, curve fitting.

Probability Distributions: Binomial, Hypergeometric, Uniform, Poisson, Exponential, Normal, Normal approximation to Binomial distribution. Sampling distribution and Central Limit theorem, Point and interval estimation of the mean, tests of Hypothesis about large and small samples.

Fourier series, Periodic functions , Euler’s formulae, Fourier series of odd & even functions and functions with arbitrary period. Half range expansions.

Numerical Solutions of partial differential equations :One dimensional heat and wave equation by explicit methods. Laplace and Poisson equations using standard five point formula.

REFERENCE BOOKS:

1. Introductory Probability and Statistical applications –P.L.Meyer Addison Wesley Publishing Co.

2. Introduction to Mathematical Statistics –IV Edn. (1989 – Robert V. Hogg and Allen P. Craig,Macmillan Publishing.)

3. Advanced Engg. Mathematics – Vol. IV S. Narayan and Ramanaih

4.   Higher Engg. Mathematics – B.S.Grewal.