UNIT 1:
Introduction and Sampling distributions, Estimation of parameters,Statistical hypothesis
Large sample test based on Normal distribution for single mean
Large sample test based on Normal distribution for difference of means
t -distribution for difference of means
Chi-square distribution for population of variance
Chi-square distribution for Goodness of fit
Chi-square distribution for Independence of attributes
UNIT 2:
Introduction and Application of Design of experiments
One-way classifications - Completely Randomized Design [CRD]
One-way classifications - Completely Randomized Design [CRD]
Two-way classifications – Randomized Block Design [RBD]
2 square - factorial Design
2 square - factorial Design
UNIT 3:
Introduction and Fixed point iteration method
Gauss Elimination Method - Pivoting
Gauss - Jacobi Iterative Method
Gauss - Seidel Iterative Method
Eigen values of a matrix by Power Method
Eigen values of a matrix by Power Method
Jacobi’s method for symmetric matrices
UNIT 4:
Introduction and Application of Numerical differentiation and Integration
Newton’s Divided Difference Interpolation
Newton’s Forward and Backward Interpolation
Approximation of derivatives using Interpolation polynomials
Numerical single integration by Trapezoidal rule
Numerical single integration by Simpson’s 1/3 rd rule
Numerical double integration by Trapezoidal rule
Numerical double integration by Simpson’s 1/3 rd rule
Newton’s Forward and Backward Interpolation
UNIT 5:
Introduction and Application of Numerical solutions of ordinary differential equations
Taylor’s series Method for solving simultaneous first order differential equations
Taylor’s series Method for solving higher order linear differential equations
Euler and Modified Euler’s Method
Fourth order Runge – Kutta Method for solving first order differential equations
Fourth order Runge – Kutta Method for solving simultaneous first order differential equations
Milne’s Predictor and Corrector Methods for solving first order differential equations
Adams – Bash Predictor and Corrector Methods for solving first order differential equations
