By Professor Madhumangal Pal |
Vidyasagar University

Learners enrolled: 1978

Week 1: **Errors in Numerical
Computations**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: Eigenvalues and Eigenvectors 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

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.**Pal, M.** Numerical Analysis for Scientists and Engineers:
Theory and C Programs. New Delhi: Narosa, Oxford: Alpha Sciences, 2007.

Krishnamurthy, E.V., and Sen, S.K.

Mathews, J.H.

Danilina, N.I., Dubrovskaya, S.N., and Kvasha, O.P., and Smirnov, G.L. Computational Mathematics. Moscow: Mir Publishers, 1998.

Hildebrand, F.B. Introduction of Numerical Analysis. New York: London: McGraw-Hill, 1956.

**Certificate policy **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 in first week of May 2021.

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.

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