Statistics and Numerical Methods Notes Anna University MA2266 SNM Notes

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Anna University Statistics and Numerical Methods Notes – MA2266 SNM Lecture Notes

Statistics and Numerical Methods Notes Anna University common to AUTOMOBILE, MECHANICAL and PRODUCTION Engineering Departments. Statistics and Numerical Methods Notes Anna University Lecture Notes for all Units. Subject Notes for MA2266 Statistics and Numerical Methods (SNM). Download Statistics and Numerical Methods Notes .

STATISTICS AND NUMERICAL METHODS ANNA UNIVERSITY NOTES

statistics and numerical methods Notes

Subjects : Statistics and Numerical Methods (SNM)

Subject Code : MA2266

Departments : Automobile,Mechanical,Production Engineering

University : Anna University

 

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Contents in SNM notes:

STATISTICS AND NUMERICAL METHODS ANNA UNIVERSITY NOTES

MA 2266 STATISTICS AND NUMERICAL METHODS
(Common to Mechanical, Automobile & Production)
UNIT I 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.
UNIT II DESIGN OF EXPERIMENTS
Completely randomized design – Randomized block design – Latin square design – 22 -
factorial design.
UNIT III 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 .
UNIT IV INTERPOLATION, NUMERICAL DIFFERENTIATION AND NUMERICAL INTEGRATION
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.
UNIT V 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.

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.
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.
4. Chapra, S. C and Canale, R. P. “Numerical Methods for Engineers”, 5th Edition, Tata
McGraw-Hill, New Delhi, 2007.
5. Gerald, C. F. and Wheatley, P. O., “Applied Numerical Analysis”, 6th Edition,
Pearson Education Asia, New Delhi, 2006.

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