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# MA8452 STATISTICS AND NUMERICAL METHODS Lecture Notes Download

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Department | Mechanical |

Year | 2nd Year |

Semester | 4th Semester |

University | Anna University |

Regulation | R2017 |

Subject Code | MA8452 |

Subject Name | STATISTICS AND NUMERICAL METHODS |

Download File | MA8452 STATISTICS AND NUMERICAL METHODS Lecture Notes, Books, Important 2 Marks Question and Answers, 16 Mark Question with Answers, Syllabus & Question Bank |

## MA8452 STATISTICS AND NUMERICAL METHODS Syllabus

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 12 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 STATISTICS AND NUMERICAL METHODS Lecture Notes Collection

MA8452 STATISTICS AND NUMERICAL METHODS Notes ( UNIT 1 – UNIT 5) – Download

## MA8452 STATISTICS AND NUMERICAL METHODS Question Bank With Answers

MA8452 STATISTICS AND NUMERICAL METHODS Question Bank With Answers – Download

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## MA8452 STATISTICS AND NUMERICAL METHODS 2 Mark Question With Answers

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MA8452 STATISTICS AND NUMERICAL METHODS 16 Mark Question With Answers – Download