Statistics:
Frequency Distribution – Characteristics of Distributions: Central tendency and dispersion. methods of least square and regression, multiple regression, Solutions of regression analysis problems Analysis of Variance.
Probability:
Concept of probability, Random Variables, Binomial, Poisson and Normal distribution – applications, Chisquared test, F test, t-test.
Optimization:
Concept, need, importance and applications related to environmental engineering, Single and multivariable optimization without and with constraints. Linear programming – standard form of problems, pivotal reduction of equations. Solutions of linear programming problems, Simplex method – single and two phase methods, Concept of Dual Linear Programming and conversion of primal to Dual.
Non-Linear Programming:
Numerical search methods nonlinear problems-Dichotomous. Fibonacci and Golden section methods. Quadratic and cubic interpolation methods.
Numerical Methods:
Newton – Raphson method for solution of algebraic and transcendental equations, Numerical solutions of partial differential equations – finite difference, solution of elliptic, parabolic and hyperbolic equations.