Anna University, Subject code – MA3251, deals with the B.E civil Engineering Semester – II Statistics And Numerical Methods syllabus regulation 2021 relating to affiliated institutions. From here, Students can get assistance in preparing notes to excel in academic performance.

We include every topic of the Statistics And Numerical Methods Syllabus, to understand the subject very well. It will help you to improve your idea of syllabus of MA3251 – Statistics And Numerical Methods Syllabus on your finger tips to go ahead in a clear path of preparation. In this following article Statistics And Numerical Methods Syllabus, will help you, Hope you share with your friends.

If you want to know more about the syllabus of B.E Civil Engineering connected to an affiliated institution’s under four-year undergraduate degree programme. We provide you with a detailed Year-wise, semester-wise, and Subject-wise syllabus in the following link B.E Civil Engineering Syllabus Anna University, Regulation 2021.

**Aim Of Concept:**

- This course aims at providing the necessary basic concepts of a few statistical and numerical methods and give procedures for solving numerically different kinds of problems occurring in engineering and technology.
- To acquaint the knowledge of testing of hypothesis for small and large samples which plays an important role in real life problems.
- To introduce the basic concepts of solving algebraic and transcendental equations.
- To introduce the numerical techniques of interpolation in various intervals and numerical techniques of differentiation and integration which plays an important role in engineering and technology disciplines.
- To acquaint the knowledge of various techniques and methods of solving ordinary differential equations.

**MA3251 – Statistics And Numerical Methods Syllabus**

**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 II:** Design Of Experiments

One way and two way classifications – Completely randomized design – Randomized block design – Latin square design – 22 factorial design.

**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 Jacobi’s method for symmetric matrices.

**Unit IV:** Interpolation, Numerical Differentiation And Numerical Integration

Lagrange’s and Newton’s divided difference interpolations – Newton’s forward and backward difference interpolation – Approximation of derivates using interpolation polynomials – Numerical single and double integrations using Trapezoidal and Simpson’s 1/3 rules.

**Unit V:** Numerical Solution Of Ordinary Differential Equations

Single step methods: Taylor’s series method – Euler’s method – Modified Euler’s method – Fourth order Runge-Kutta method for solving first order differential equations – Multi step methods: Milne’s and Adams – Bash forth predictor corrector methods for solving first order differential equations.

**Text Books:**

- Grewal, B.S., and Grewal, J.S., “Numerical Methods in Engineering and Science”, Khanna Publishers, 10th Edition, New Delhi, 2015.
- Johnson, R.A., Miller, I and Freund J., “Miller and Freund’s Probability and Statistics for Engineers”, Pearson Education, Asia, 8th Edition, 2015.

**References:**

- Burden, R.L and Faires, J.D, “Numerical Analysis”, 9th Edition, Cengage Learning, 2016.
- Devore. J.L., “Probability and Statistics for Engineering and the Sciences”, Cengage Learning, New Delhi, 8th Edition, 2014.
- Gerald. C.F. and Wheatley. P.O. “Applied Numerical Analysis” Pearson Education, Asia, New Delhi, 7th Edition, 2007.
- Gupta S.C. and Kapoor V. K., “Fundamentals of Mathematical Statistics”, Sultan Chand & Sons, New Delhi, 12th Edition, 2020.
- Spiegel. M.R., Schiller. J. and Srinivasan. R.A., “Schaum’s Outlines on Probability and Statistics “, Tata McGraw Hill Edition, 4th Edition, 2012.
- 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.

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