Statistics and Numerical Methods detail syllabus for Automobile Engineering (Auto), 2017 regulation is taken from Anna University official website and presented for students of Anna University. The details of the course are: course code (MA8452), Category (BS), Contact Periods/week (4), Teaching hours/week (4), Practical Hours/week (0). The total course credits are given in combined syllabus.
For all other auto 4th sem syllabus for be 2017 regulation anna univ you can visit Auto 4th Sem syllabus for BE 2017 regulation Anna Univ Subjects. The detail syllabus for statistics and numerical methods is as follows.”
Course Objective:
- 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.
Unit I
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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 Jacobis method for symmetric matrices.
Unit IV
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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 equations – Multi step methods : Milnes and Adams – Bash forth predictor corrector methods for solving first order equations.
Course Outcome:
Upon successful completion of the course, students will be able to:
- Apply the concept of testing of hypothesis for small and large samples in real life problems.
- Apply the basic concepts of classifications of design of experiments in the field of agriculture.
- Appreciate the numerical techniques of interpolation in various intervals and apply the numerical techniques of differentiation and integration for engineering problems.
- Understand the knowledge of various techniques and methods for solving first and second order ordinary differential equations.
- Solve the partial and ordinary differential equations with initial and boundary conditions by using certain techniques with engineering applications
Text Books:
- Grewal. B.S. and Grewal. J.S., Numerical Methods in Engineering and Science “, 10th Edition, Khanna Publishers, New Delhi, 2015.
- Johnson, R.A., Miller, I and Freund J., Miller and Freunds 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, 2006.
- Spiegel. M.R., Schiller. J. and Srinivasan. R.A., “Schaums Outlines on Probability and Statistics “, Tata McGraw Hill Edition, 2004.
- Walpole. R.E., Myers. R.H., Myers. S.L. and Ye. K., Probability and Statistics for Engineers and Scientists”, 8th Edition, Pearson Education, Asia, 2007.
For detail syllabus of all other subjects of BE Auto, 2017 regulation do visit Auto 4th Sem syllabus for 2017 Regulation.
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