Week 1: Errors in Numerical
1. Ch 1 Mod 1: Error in Numerical Computations.
2. Ch 1 Mod 2: Propagation of Errors and Computer Arithmetic.
Week 2: Interpolation - I
3. Ch 1 Mod 3: Operators in Numerical Analysis.
4. Ch 2 Mod 1: Lagrange’s. Interpolation.
5. Ch 2 Mod 2: Newton’s Interpolation Methods.
6. Ch 2 Mod 3: Central Deference Interpolation Formulae.
Week 3: Interpolation - II
7. Ch 2 Mod 4: Aitken’s and Hermite’s Interpolation Methods.
8. Ch 2 Mod 5: Spline Interpolation.
9. Ch 2 Mod 6: Inverse Interpolation.
10. Ch 2 Mod 7: Bivariate Interpolation.
Week 4: Approximation of Functions
11. Ch 3 Mod 1: Least Squares Method.
12. Ch 3 Mod 2: Approximation of Function by Least Squares Method.
13. Ch 3 Mod 3: Approximation of Function by Chebyshev Polynomials.
Week 5: Solution of Algebraic and Transcendental Equation
14. Ch 4 Mod 1: Newton’s Method to Solve Transcendental Equation.
15. Ch 4 Mod 2: Roots of a Polynomial Equation.
16. Ch 4 Mod 3: Solution of System of Non-linear Equations.
Week 6: Solution of System of Linear Equations-I
17. Ch 5 Mod 1: Matrix Inverse Method.
18. Ch 5 Mod 2: Iteration Methods to Solve System of Linear Equations.
19. Ch 5 Mod 3: Methods of Matrix Factorization.
Week 7: Solution of System of Linear Equations-II
20. Ch 5 Mod 4: Gauss Elimination Method and Tri-diagonal Equations.
21. Ch 5 Mod 5: Generalized Inverse of Matrix.
22. Ch 5 Mod 6: Solution of Inconsistent and Ill Conditioned Systems.
Week 8: Assessment
Week 9: Eigen Values and Eigen Function of Matrices
23. Ch 6 Mod 1: Construction of Characteristic Equation of a Matrix.
24. Ch 6 Mod 2: Eigenvalue and Eigenvector of Arbitrary Matrices.
25. Ch 6 Mod 3: Eigenvalues and Eigenvectors of Symmetric Matrices.
Week 10: Differentiation and Integration-I
26. Ch 7 Mod 1: Numerical Differentiation.
27. Ch 7 Mod 2: Newton-Cotes Quadrature.
Week 11: Differentiation and Integration-II
28. Ch 7 Mod 3: Gaussian Quadrature.
29. Ch 7 Mod 4: Monte-Carlo Method and Double Integration.
Week 12: Ordinary Differential Equations-I
30. Ch 8 Mod 1: Runge-Kutta Methods.
31. Ch 8 Mod 2: Predictor-Corrector Methods.
Week 13: Ordinary Differential Equations-II
32. Ch 8 Mod 3: Finite Difference Method and its Stability.
33. Ch 8 Mod 4: Shooting Method and Stability Analysis.
Week 14: Partial Differential Equations
34. Ch 9 Mod 1: Partial Differential Equation: Parabolic.
35. Ch 9 Mod 2: Partial Differential Equations: Hyperbolic.
36. Ch 9 Mod 3: Partial Differential Equations: Elliptic
Week 15 Final examination
1. Danilina, N.I., Dubrovskaya, S.N., and Kvasha,
O.P., and Smirnov, G.L. Computational Mathematics. Moscow: Mir Publishers, 1998.
2. Pal, M. Numerical Analysis for Scientists and Engineers: Theory and C Programs. New Delhi: Narosa, Oxford: Alpha Sciences, 2007.
3. Hildebrand, F.B. Introduction of Numerical Analysis. New York: London: McGraw-Hill, 1956.
4. Jain, M.K., Iyengar, S.R.K., and Jain, R.K. Numerical Methods for Scientific and Engineering Computation. New Delhi: New Age International (P) Limited, 1984.
5. Krishnamurthy, E.V., and Sen, S.K. Numerical Algorithms. New Delhi: Affiliated East-West Press Pvt. Ltd., 1986.
6. Mathews, J.H. Numerical Methods for Mathematics, Science, and Engineering, 2nd ed., NJ: Prentice-Hall, Inc., 1992.
Prof. Madhumangal Pal is currently a Professor of Applied Mathematics, Vidyasagar University. He has received Gold and Silver medals from Vidyasagar University for rank first and second in M.Sc. and B.Sc. examinations respectively. Also, he received “Computer Division Medal” from Institute of Engineers (India) in 1996 for best research work. Prof. Pal has successfully guided 34 research scholars for Ph.D. degrees and has published more than 330 articles in international and national journals. His specializations include Algorithmic and Fuzzy Graph Theory, Fuzzy Matrices, Genetic and Parallel Algorithms. He has evaluated more than 91 Ph.D. theses from Indian and Abroad. Prof. Pal is the author of eight text books including Numerical Analysis and two edited books published from India, United Kingdom and USA. He has published 21 chapters in several edited books. Prof. Pal completed three research project funded by UGC and DST and is ongoing. Prof. Pal is the Editor-in-Chief of two journals and area editor of SCIE Indexed journal, and member of the editorial Boards of several journals. Also, he has visited China, Greece, London, Taiwan, Malaysia, Thailand, Hong Kong, Dubai and Bangladesh for academic purpose. He is also a member of the American Mathematical Society, USA, Calcutta Mathematical Society, Advanced Discrete Mathematics and Application, Neutrosophic Science International Association, USA, Ramanujam Mathematical Society, India, etc. As per Google Scholar, the citation of Prof. Pal is 6128, h-index is 40 and i10-index is 182, as on 20.05.2020. He was a member of the several selection committees and several administrative and academic bodies in Vidyasagar University and other institutes.
The course is free for all to enroll. But, for getting a certificate, learner have to register and deposit the registration fee (amount is to be declared latter).
The final examination will be held on 26 March 2021 during 9 am to 12 noon.
Registration url: Announcements will be made when the registration form is open for registrations.
The online registration form for examination has to be filled and the certification examination fee has to be paid. More details will be made available when the examination registration form is published. Any changes will be informed accordingly.
Please check the form for more details on the exam cities and other information.
Criteria to get a certificate
Assignment score = 30% among best 8 assignments out of the total 13 assignments given in the course.
Exam score = 70% of the proctored certification exam score out of 100.
Final score = Assignment score + Exam score.
Assignment score and final score must be at least 40% separately.
Final score must be at least 40% to get a certificate.
How to get certificate
Certificate contains learner name, photograph and the score in the final exam with the breakup.
Only the e-certificate will be made available.