Course Weekly Lecture Plan

Week	Topic
1	1. Introduction 2. Numerical solutions of ordinary differential equations: Second order Runge-Kutta methods
2	1. Numerical solutions of ordinary differential equations: Fourth order Runge-Kutta methods 2. Numerical solutions to systems of ordinary differential equations by using Runge-Kutta methods
3	Adaptive Runge-Kutta methods: step halving method
4	1. Adaptive Runge-Kutta methods: step-size control 2. Stiff differential equations 3. Implicit Euler method
5	Multi-step methods: Heun and Non-self starting Heun methods, Adams-Bashforth, Milne, Adams fourth order methods
6	Pade approximants
7	Pade approximants
8	Pade approximants, Aitken Delta^2 algorithm, Epsilon and Eta algoritms, Wynn identity
9	Chebyshev Polynomials
10	Chebyshev Polynomials
11	Solutions of Boundary value problems Linear Shooting Method
12	Solutions of Boundary value problems Nonlinear Shooting Method
13	Introduction to Finite Element Methods
14	Introduction to Finite Element Methods