#SNM#MA8452#Statistics&NumericalMethods#MECH
This video clearly explain to get a pass Statistics and Numerical Methods in 15 Minutes
(MA8452-SNM-Mechanical 4th Semester ).
Statistics&NumericalMethods Full video Link: • How to Pass Statistics...
Important Question and Answers are discussed in this video
For more Details contact,
Prof.Dr.M.Kannan::97886 48667
Syllabus:
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 - 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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