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### MA2266 STATISTICS AND NUMERICAL METHODS MA 2266 STATISTICS AND NUMERICAL METHODS

MA2266 STATISTICS AND NUMERICAL METHODS  SYLLABUS 3 1 0 4 (Common to Mechanical, Automobile & Production)
1. TESTING OF HYPOTHESIS 9 + 3
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.
2. DESIGN OF EXPERIMENTS 9 + 3
Completely randomized design – Randomized block design – Latin square design - 22 -
factorial design.
3. SOLUTION OF EQUATIONS AND EIGENVALUE PROBLEMS 9 +3
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 .
4. INTERPOLATION, NUMERICAL DIFFERENTIATION AND NUMERICAL
INTEGRATION 9 +3
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.
5 NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS 9 + 3
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.
L = 45 T = 15 Total = 60
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.
BOOKS FOR REFERENCES:
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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