MA6452 Statistics and Numerical Methods Syllabus Notes Question Papers 2 Marks with Answers Question Bank with answers Anna University
UNIT I TESTING OF HYPOTHESIS
Large sample test based on Normal distribution for single mean and difference of means - Tests based on t, lamba^2 and F distributions for testing means and variances – Contingency table (Test for Independency) – Goodness of fit.
UNIT II DESIGN OF EXPERIMENTS
One way and two way classifications - Completely randomized design – Randomized block design – Latin square design - 22 factorial design.
UNIT III SOLUTION OF EQUATIONS AND EIGENVALUE PROBLEMS
Newton Raphson method – Gauss elimination method – pivoting – Gauss Jordan methods – Iterative methods of Gauss Jacobi and Gauss Seidel – Matrix inversion by Gauss Jordan method – Eigen values of a matrix by power method.
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
Taylor’s series method – Euler’s method – Modified Euler’s method – Fourth order Runge-Kutta method for solving first order equations – Milne’s predictor corrector methods for solving first order equations – Finite difference methods for solving second order equations.
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