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# MA8452 Statistics and Numerical Methods Syllabus Notes Question Banks Regulation 2017

## MA8452 Statistics and Numerical Methods Syllabus Notes Question Paper Question Banks with answers Anna University

#### Anna University Statistics and Numerical Methods Syllabus Notes Question Bank Question Papers Regulation 2017

Anna University MA8452 Statistics and Numerical Methods Notes are provided below. MA8452 Notes all 5 units notes are uploaded here. here MA8452 Statistics and Numerical Methods notes download link is provided and students can download the MA8452 SNM Lecture Notes and can make use of it.

#### MA8452 Statistics and Numerical Methods Syllabus Regulation 2017

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

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