How to Pass Statistics and Numerical Methods in 15 Minutes| SNM| Poriyaalan

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  • Опубликовано: 10 сен 2024
  • #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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