This course is designed to teach the students about numerical methods and their theoretical bases for solving mathematical problems. It deals with the theory and application of numerical approximation techniques. Knowledge of calculus and linear algebra would help in learning these methods.


Calculus-I & Linear Algebra

Intended Learning Outcomes

Upon successful completion of this course, students should be able to


  1. Develop an understanding of the core ideas and concepts of Numerical Methods.
  2.   Be able to recognize the power of abstraction and generalization, and to carry out investigative mathematical work with independent judgment.
  3. Be able to apply rigorous, analytic, highly numerate approach to analyze and solve problems using Numerical Methods.
  4. Be able to communicate problem solutions using correct mathematical terminology and good English.


  1. Computer Arithmatic; approximations and errors
  2. Methods for the solutions of non-linear equations and their convergence
  3. Bisection method
  4. Regular Falsi method
  5. Fixed point iteration method
  6. Newton-Rephson method
  7. Secant method; error analysis for iterative method
  8. Interpolation and polynomial approximation
  9. Lagrange interpolation
  10. Newton's divided difference, forward difference and backward difference formulae
  11. Hermite interpolation
  12. Numerical integration and error estimates
  13. Rectangular rule, Trapezoidal rule, Simpson's rules
  14. Numerical solution of systems of algebraic linear equations
  15. Gauss-elimination method
  16. Matrix inversion
  17. LU-factorization
  18. Doolittle's Crount's, Cholesk's methods
  19. Gauss-Seidal and Jacobi methods
  20. Matrix norms
  21. Method of least square
  22. Eigenvalues and eigenvectors
  23. Inclusion methods
  24. Power method

Recommended Books:

1. Gerald C.F. and Wheatley P.O. Applied Numerical Analysis, Pearson Education, Singapore, 2005.

2. Burden R. L. and Faires J. D. Numerical Analysis, latest edition, PWS Pub. Co.

Suggusted Books:

1. Mathews J.H. Numerical Methods for Mathematics, latest Edition, Prentice Hall International.

2. Chapra S. C. and Canale R. P. Numerical Methods for Engineers, 6th edition, McGraw Hill.

3. Sankara K. Numerical Methods for Scientists and Engineers. 2nded. New  Delhi: Prentice Hall, 2005.


Description of system of evaluation (homework, midterms, final,  assignments etc.): 

  1. Homework, Exercises, Attendance, Assignments: 20%
  2. Midterm: 30%, Final Term: 50 %

Key Dates and Time of Class Meeting

Tuesday & Friday:  9:30am-11:00am 

Commencement of Classes                                                   January 13, 2020

Mid Term Examination                                                            March 09-13, 2020

Final Term Examination                                                          May 04-08, 2020

Declaration of Result                                                              May 19, 2020





Course Material