MA6452 Statistics And Numerical Methods Hand Written Lecture Notes - Mr. Krishnamoorthy Edition

  • 12Feb
  • 2017
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    Statistics And Numerical Methods Premium Lecture Notes Contains all units by Mr. Krishnamoorthy. Specially for Mechanical Engineering Candidates. Syllabus Covered based on Anna University B.E Mechanical Engineering.

    Special Thanks To:
    Mr.N. Krishnamoorthy
    P.T.Lee Chengalvaraya Naicker Engg College

    Attachment: Click here

    STATISTICS AND NUMERICAL METHODS

    CONTENT:

    UNIT-1
    TESTING OF HYPOTHESIS

    UNIT-2
    DESIGN OF EXPERIMENTS

    UNIT-3
    SOLUTION OF EQUATION AND EIGENVALUE PROMBLEMS

    UNIT-4
    INTERPOLATION, NUMERICAL DIFFERENTIATION AND NUMERICAL INTEGRATION

    UNIT-5
    NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS

     

    UNIT-1
    TESTING OF HYPOTHESIS

    Population
    Sampling
    Random sampling
    Types of sampling
    Symbols for population and samples
    Standard error
    Tests of significance
    Testing a hypothesis
    Null hypothesis
    Alternative hypothesis
    Level of significance
    Problems
    Square test for independence of attributes

     

    UNIT-2
    DESIGN OF EXPERIMENTS

    Analysis of experiments
    Assumption
    Complete block designs
    One way classification
    Analysis of variance table
    Problems

     

    UNIT-3
    SOLUTION OF EQUATION AND EIGENVALUE PROMBLEMS

    Problem based on newton raphson method
    Solution of linear system by Gaussian elimination and gauss Jordon methods
    Direct method
    Indirect method
    Gauss elimination method
    Iterative methods
    Problems

     

    UNIT-4
    INTERPOLATION, NUMERICAL DIFFERENTIATION AND NUMERICAL INTEGRATION

    Lagrange’s interpolation
    Newton’s divided difference interpolation
    Trapezoidal rule
    Simpson’s one third rule
    Trapezoidal rule

     

    UNIT-5
    NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS

    Taylor’s series method
    Euler and modified euler method
    Fourth order runge – kutta method for solving first order equation
    MILNE’s PREDICTOR AND CORRECTOR – method for solving first order equation
    Finite difference methods for solving second order equation


    Attachment: Click here