MA3251 STATISTICS AND NUMERICAL METHODS

UNIT I TESTING OF HYPOTHESIS

Sampling distributions – Tests for single mean, proportion and difference of means (Large and small samples) – Tests for single variance and equality of variances – Chi square test for goodness of fit – Independence of attributes.

 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 differential equations – Multi step methods: Milne’s and Adams – Bash forth predictor corrector methods for solving first order differential equations.

TEXT BOOKS:

1. Grewal, B.S., and Grewal, J.S., “Numerical Methods in Engineering and Science”, Khanna Publishers, 10th Edition, New Delhi, 2015.
2. Johnson, R.A., Miller, I and Freund J., “Miller and Freund’s Probability and Statistics for Engineers”, Pearson Education, Asia, 8th Edition, 2015.

REFERENCES:

1. Burden, R.L and Faires, J.D, “Numerical Analysis”, 9th Edition, Cengage Learning, 2016.
2. Devore. J.L., “Probability and Statistics for Engineering and the Sciences”, Cengage Learning, New Delhi, 8th Edition, 2014.
3. Gerald. C.F. and Wheatley. P.O. “Applied Numerical Analysis” Pearson Education, Asia, New Delhi, 7th Edition, 2007.
4. Gupta S.C. and Kapoor V. K., “Fundamentals of Mathematical Statistics”, Sultan Chand & Sons, New Delhi, 12th Edition, 2020.
5. Spiegel. M.R., Schiller. J. and Srinivasan. R.A., “Schaum’s Outlines on Probability and Statistics “, Tata McGraw Hill Edition, 4th Edition, 2012.
6. 6. Walpole. R.E., Myers. R.H., Myers. S.L. and Ye. K., “Probability and Statistics for Engineers and Scientists”, 9th Edition, Pearson Education, Asia, 2010.

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Anna University MA3251 Statistics and Numerical Methods Books Question Banks Lecture Notes Syllabus MA3251 Statistics and Numerical Methods Part A 2 Marks with Answers Part – B 16 Marks Questions with Answers & Anna University MA3251 Statistics and Numerical Methods Question Paper Collection and Local Author Books.

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