## MA8452 SNM Syllabus

Anna University Regulation 2017 MECH MA8452 SNM Syllabus for all 5 units are provided below. Download link for MECH 4th SEM MA8452 STATISTICS AND NUMERICAL METHODS Engineering Syllabus is listed down for students to make perfect utilization and score maximum marks with our study materials.

### Anna University Regulation 2017 MECH Engineering (MECH) 4th SEM MA8452 STATISTICS AND NUMERICAL METHODS Engineering Syllabus

MA8452 STATISTICS AND NUMERICAL METHODS
OBJECTIVES:
 This course aims at providing the necessary basic concepts of a few statistical and numerical methods and give procedures for solving numerically different kinds of problems occurring in engineering and technology.
 To acquaint the knowledge of testing of hypothesis for small and large samples which plays an important role in real life problems.
 To introduce the basic concepts of solving algebraic and transcendental equations.
 To introduce the numerical techniques of interpolation in various intervals and numerical techniques of differentiation and integration which plays an important role in engineering and technology disciplines.
 To acquaint the knowledge of various techniques and methods of solving ordinary differential equations.

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 -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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MA8452 SNM Syllabus

Anna University 4th Sem MECH SNM Syllabus