MA8452-STATISTICS AND NUMERICAL METHODS SYLLABUS / NOTES AND MATERIALS
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| MA8452 Statistics And Numerical Methods |
UNIT I TESTING OF HYPOTHESIS:
Sampling distributions - Estimation of parameters - Statistical hypothesis - Large sample tests 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.
UNIT II DESIGN OF EXPERIMENTS :
One way and two way classifications - Completely randomized design – Randomized block design – Latin square design - 2 2 factorial design.
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UNIT III 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.
UNIT IV 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.
UNIT V 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.
SUBJECT : STATISTICS AND NUMERICAL METHODS
SUBJECT CODE : MA8452
SEMESTER : 04
REGULATION : 2017
CONTENT : NOTES AND BOOKS
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