# 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.

**for all Units.**

**Statistics and**Numerical Methods Notes Anna University Lecture Notes**Subject Notes**for MA2266 Statistics and Numerical Methods (SNM). Download

**Statistics and**

**Numerical Methods Notes .**

**STATISTICS AND NUMERICAL METHODS ANNA UNIVERSITY NOTES**

Subjects : **Statistics and** **Numerical Methods** **(SNM)**

Subject Code : **MA2266**

Departments : **Automobile,Mechanical,Production Engineering
**

University : **Anna University**

**Download ****Statistics and** Numerical Methods Anna University Notes

**Statistics and**Numerical Methods Anna University Notes

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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.

### anna university **Statistics and** Numerical Method notes common for AUTO, MECH and Production Departments above covered almost all topic but still there may be any topic missing. So if you find any topic missing or any problem with downloading MA2266 SNM notes kindly leave your comments

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