Statistics and Numerical Methods detail syllabus for various departments, 2017 scheme is taken from VTU official website and presented for VTU students. The course code (17BM664/17EI664), and for exam duration, Teaching Hr/week, Practical Hr/week, Total Marks, internal marks, theory marks, duration and credits do visit complete sem subjects post given below.
For all other open elective-2 syllabus for vtu be 2017 scheme you can visit Open Elective-2 syllabus for VTU BE 2017 Scheme Subjects. The detail syllabus for statistics and numerical methods is as follows.
Module 1 :
Testing of Hypothesis- Large sample test based on Normal distribution for single mean and difference of means – Tests based on t, Students t-test, statistical significance p” value, lambaA2 and F distributions for testing means and variances – Contingency table (Test for Independency) – Goodness of fit.
Module 2:
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Module 3:
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 – Eigen values of a matrix by power method.
Module 4:
Interpolation, Numerical Differentiation and Numerical Integration- Lagranges and Newtons divided difference interpolations – Newtons forward and backward difference interpolation -Approximation of derivatives using interpolation polynomials – Numerical single and double integrations using Trapezoidal and Simpsons 1/3 rules.
Module 5:
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Course Outcomes:
After studying this course, students will be able to:
- Perform hypothesis testing.
- Apply completely randomized design for the experimental data classification.
- Develop and implement iterative methods to solve algebraic and transcendental equations, simultaneous linear equations, and ordinary differential equations.
- Apply the knowledge of finite differences, interpolation, numerical differentiation and numerical integration to different area.
- Apply statistical and numerical methods for the analysis of simple and complex signals/data related to projects, research and real world problems.
Question paper pattern:
- The question paper will have TEN questions.
- Each full question carry 16 marks
- There will be TWO full questions (with maximum of THREE sub questions) from each module.
- Each full question will have sub questions covering all the topics under a module.
- The students will have to answer FIVE full questions, selecting ONE full question from each module.
Text Books:
- R.A. Johnson and C.B. Gupta, Miller and Freunds Probability and Statistics for Engineers, Pearson Education, Asia, 7thEdition, 2007.
- Grewal B. S. and Grewal J. S., Numerical methods in Engineering and Science, 6thEdition, Khanna Publishers, New Delhi, 2004.
Reference Books:
- 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.
- M.R. Spiegel, J. Schiller and R.A. Srinivasan, Schaums Outlines Probability and Statistics, Tata McGraw Hill edition, 2004.
- Chapra S. C and Canale, R. P, Numerical Methods for Engineers, 5thEdition, Tata McGraw-Hill, New Delhi, 2007.
- Gerald, C. F. and Wheatley, P. O., Applied Numerical Analysis, 6thEdition, Pearson Education Asia, New Delhi, 2006.
For detail syllabus of all other subjects of BE do syllabus for different schemes from menu given on top.
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