Weeks Weekly Lecture Topics (Module Titles)
1 Day 1 Module 1 : Bisection method
Day 2 Module 2 : Regula-Falsi method
Day 3 Module 3 : Fixed point iteration method
Day 4 Discussion based on the above topics
Day 5 Assignment
2 Day 1 Module 4 : Newton Raphson method- Part 1
Day 2 Module 5 : Newton Raphson method- Part 2
Day 3 Module 6 : Solution of nonlinear system of equations using Newton Raphson method.
Day 4 Discussion based on the above topics
Day 5 Assignment
3 Day 1 Module 7 : Gauss elimination method
Day 2 Module 8 : Gauss Jordan method
Day 3 Module 9 : Method of Triangularisation
Day 4 Module 10: Crout’s triagularisation method
Day 5 Discussion based on the above topics
Day 6 Assignment
4 Day 1 Module 11 : Gauss Jacobi iterative method of iteration
Day 2 Module 12 : Gauss Seidel method of iteration
Day 3 Module 13 : Forward finite differences
Day 4 Module 14: Backward finite differences
Day 5 Discussion based on the above topics
Day 6 Assignment
5 Day 1 Module 15 : Central differences
Day 2 Module 16 : Newton’s Forward Interpolation
Day 3 Module 17: Newton’s backward Interpolation
Day 4 Discussion based on the above topics
Day 5 Assignment
6 Day 1 Module 18 : Relation connecting finite differences
Day 2 Module 19 : Stirling’s Interpolation Formula
Day 3 Module 20 : Gauss’ Forward Interpolation Formula
Day 4 Module 21. Gauss’ backward Interpolation Formula
Day 5 Discussion based on the above topics
Day 6 Assignment
7 Day 1 Module 22 : Newton’s divided difference Interpolation
Day 2 Module 23 : Lagrange’s interpolation
Day 3 Module 24 : Differentiation using Newton’s forward difference formula
Day 4 Discussion based on the above topics
Day 5 Assignment
8 Day 1 Module 25 : Differentiation using Newton’s backward difference formula
Day 2 Module 26: 2Differentiation using Stirling’s formula
Day 3 Module 27 : Bessel’s formula
Day 4 Discussion based on the above topics
Day 5 Assignment
9 Day 1 Module 28 : Laplace Everett’s formula
Day 2 Module 29 : Integration using Trapezoidal rule
Day 3 Module 30: Simpson’s one third rule
Day 4 Module 31: Simpson’s 3/8 th rule
Day 5 Discussion based on the above topics
Day 6 Assignment
10 Day 1 Module 32 : Evaluation of double integrals using trapezoidal rule
Day 2 Module 33 : Evaluation of double integrals using simpson’s rule
Day 3 Module 34 : Solution of ODE using Picard’s iteration method
Day 4 Discussion based on the above topics
Day 5 Assignment
11 Day 1 Module 35 : Taylor series method
Day 2 Module 36 : Euler’s method
Day 3 Module 37: Second order Runge-Kutta method
Day 4 Discussion based on the above topics
Day 5 Assignment
12 Day 1 Module 38 : Fourth order Runge-Kutta method
Day 2 Module 39 : Adam-Bashforth method
Day 3 Module 40 : Milne’s predictor corrector method
Day 4 Discussion based on the above topics
Day 5 Assignment
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