Statistics and Numerical Methods detail syllabus for Robotics And Automation Engineering (Robotics & Automation), 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 robotics & automation 4th sem syllabus for be 2017 regulation anna univ you can visit Robotics & Automation 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 Robotics & Automation, 2017 regulation do visit Robotics & Automation 4th Sem syllabus for 2017 Regulation.
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