**Regulations - 2017(MA8452)**

** Chapter 1 : ****Testing Of Hypothesis**** **

Sampling distributions - Estimation of parameters - Statistical hypothesis - Large sample test based on Normal distribution for single mean and difference of means – Tests based on t*, *Chi-square and F distributions for mean, variance and proportion – contingency table (Test for Independent) – Goodness of fit.

** Chapter 2 : ****Design Of Experiments**

One way and two way classifications – Completely randomized design – Randomized block design – Latin square design – 2^{2} factorial design.

** Chapter 3 : Solution Of Equations And Eigenvalue Problems **

Solution of algebraic and transcendental equations - Fixed point iteration method – Newton Raphson method – Solution of linear system of equations - Gauss elimination method – Pivoting –Gauss Jordan methods – Iterative methods of Gauss Jacobi and Gauss Seidel – Eigen values of a matrix by power method and Jacobi’s method for symmetric matrices.

** Chapter 4 : Interpolation, ****Numerical Differentiation And Integration**** **

Lagrange’s and Newton’s divided difference interpolations – Newton’s forward and backward difference interpolation – Approximation of derivates using interpolation polynomials – Numerical single and double integrations using Trapezoidal and Simpson’s 1/3 rule.

**Chapter 5 : ****Numerical Solution Of Ordinary Differential Equations**** **

Single step methods: Taylor’s series method – Euler’s method – Modified Euler’s method – Fourth Order Runge-Kutta method for solving first order equations – Multi step methods: Milne’s predictor corrector methods for solving first order equations – Finite difference methods for solving second order equations.