Computer Arithmetic: floating point representation of numbers, arithmetic operations with normalized floating point numbers; Iterative methods: different iterative methods for finding the roots of an equation and their computer implementation;
Solution of simultaneous Algebraic Equations, Gauss elimination; Interpolation, Least square approximation of functions, Taylor series representation, Chebyshev series; Numerical differentiation and integration and Numerical Solution of ordinary Differential Equations.
Frequency distribution. Mean, Median, Mode and other measure of central tendency. Standard deviation and measures of dispersion. Moments. Skewness and Kurtosis. Elementary probability theory, Characteristics of distributions. Elementary sampling theory, Estimation, hypothesis testing and regression analysis.
(a) Numerical Methods by E. Balagurusamy.
(b) Numerical Methods - Rao V. Dukkipati.
(c) Numerical Methods for Engineers by Steven C Chapra.
(d) An introduction to statistics / Muhammad Ali Mian and M. Alimullah Miyan.