# MA3251 – Statistics and Numerical Methods [SNM] – Regulation 2021 Syllabus

## MA3251 – SYLLABUS

UNIT I – TESTING OF HYPOTHESIS

Sampling distributions – Tests for single mean, proportion and difference of means (Large and small samples) – Tests for single variance and equality of variances – Chi square test for goodness of fit – Independence of attributes.

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

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 differential equations – Multi step methods: Milne’s and Adams – Bash forth predictor corrector methods for solving first order differential equations.

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