# MA3251: Statistics and Numerical Methods syllabus for ECE 2021 regulation

Statistics and Numerical Methods detailed syllabus for Electronics & Communication Engineering (ECE) for 2021 regulation curriculum has been taken from the Anna University official website and presented for the ECE students. For course code, course name, number of credits for a course and other scheme related information, do visit full semester subjects post given below.

For Electronics & Communication Engineering 2nd Sem scheme and its subjects, do visit ECE 2nd Sem 2021 regulation scheme. The detailed syllabus of statistics and numerical methods is as follows.

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 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 Jacobis method for symmetric matrices.

#### Unit V

NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS Single step methods: Taylors series method – Eulers method – Modified Eulers method – Fourth order Runge-Kutta method for solving first order differential equations – Multi step methods: Milnes 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 Freunds Probability and Statistics for Engineers”, Pearson Education, Asia, 8th Edition, 2015.

#### Reference Books:

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., “Schaums Outlines on Probability and Statistics “, Tata McGraw Hill Edition, 4th Edition, 2012.
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.

For detailed syllabus of all other subjects of Electronics & Communication Engineering, 2021 regulation curriculum do visit ECE 2nd Sem subject syllabuses for 2021 regulation.

For all Electronics & Communication Engineering results, visit Anna University ECE all semester results direct link.