Sampling distributions - Estimation of parameters - Statistical hypothesis - Large sample tests basedon Normal distribution for single mean and difference of means -Tests based on t, Chi-square anF distributions for mean, variance and proportion - Contingency table (test for independent) Goodness of fit.
One way and two way classifications - Completely randomized design – Randomized block design –
Latin square design - 2 factorial design.
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
method – Iterative methods of Gauss Jacobi and Gauss Seidel - Eigenvalues of a matrix by Power
method and Jacobi’s method for symmetric matrices.
INTERPOLATION, NUMERICAL DIFFERENTIATION AND NUMERICAL 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 rules.
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 and Adams
- Bash forth predictor corrector methods for solving first order equations.
Reference Book:
1. Burden, R.L and Faires, J.D, "Numerical Analysis”, 9 th Edition, Cengage Learning, 2016.
2. Devore. J.L., "Probability and Statistics for Engineering and the Sciences”, Cengage Learning, New Delhi, 8
th Edition, 2014.
3. Gerald. C.F. and Wheatley. P.O. "Applied Numerical Analysis” Pearson Education, Asia, New Delhi, 2006.
4. Spiegel. M.R., Schiller. J. and Srinivasan. R.A., "Schaum’s Outlines on Probability and Statistics ", Tata McGraw Hill Edition, 2004.
5. Walpole. R.E., Myers. R.H., Myers. S.L. and Ye. K., “Probability and Statistics for Engineers and Scientists",
8 th Edition, Pearson Education, Asia, 2007.
Text Book:
1. Grewal. B.S. and Grewal. J.S., “Numerical Methods in Engineering and Science ", 10 th Edition, Khanna Publishers, New Delhi, 2015.
2. Johnson, R.A., Miller, I and Freund J., “Miller and Freund’s Probability and Statistics for Engineers", Pearson Education, Asia, 8 th Edition, 2015.
