MA2266-STATISTICS AND NUMERICAL METHODS |
TESTING OF HYPOTHESIS |
Sampling distributions - Tests for single mean, Proportion, 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. |
DESIGN OF EXPERIMENTS |
Completely randomized design – Randomized block design – Latin square design - 22 - factorial design. |
SOLUTION OF EQUATIONS AND EIGENVALUE PROBLEMS |
Newton-Raphson method- Gauss Elimination method – Pivoting - Gauss-Jordan methods – Iterative methods of Gauss-Jacobi and Gauss-Seidel - Matrix Inversion by Gauss-Jordan method - Eigenvalues of a matrix by Power method .
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INTERPOLATION, NUMERICAL DIFFERENTIATION AND NUMERICAL INTEGRATION
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Lagrange’s and Newton’s divided difference interpolation –Newton’s forward and backward difference interpolation - Approximation of derivatives using interpolation polynomials - Numerical integration using Trapezoidal and Simpson’s 1/3 rules. |
NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS |
Taylor’s series method - Euler’s method - Modified Euler’s method - Fourth order Runge-Kutta method for solving first and second order equations - Milne’s predictor-corrector methods for solving first order equations - Finite difference methods for solving second order equation. |
REFERENCE |
Text Books |
1. R.A. Johnson and C.B. Gupta, “Miller and Freund’s Probability and Statistics for Engineers”, Pearson Education, Asia, 7th edition, 2007 (For units 3, 4 and 5).
2. Grewal, B.S. and Grewal,J.S., “ Numerical methods in Engineering and Science”, 6th Edition, Khanna Publishers, New Delhi, 2004.
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Reference Books |
1.R.E. Walpole, R.H. Myers, S.L. Myers, and K Ye, “Probability and Statistics for Engineers and Scientists”, Pearson Education, Asia , 8th edition, 2007.
2.M.R. Spiegel, J. Schiller and R.A. Srinivasan, “Schaum’s Outlines Probability and Statistics”, Tata McGraw Hill edition, 2004.
3.Chapra, S. C and Canale, R. P. “Numerical Methods for Engineers”, 5th Edition, Tata McGraw-Hill, New Delhi, 2007.
4.Gerald, C. F. and Wheatley, P. O., “Applied Numerical Analysis”, 6th Edition, Pearson Education Asia, New Delhi, 2006.
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