Course Weekly Lecture Plan

Week	Topic
1	Initial and boundary value problems, Existence and uniqueness theorems, well-posed problem.
2	Single step methods; Euler method. Higher order Taylor series method.
3	Runge-Kutta methods.
4	Error control and Runge-Kutta-Fehlberg method.
5	Multistep methods; Adams-Bashforth method.
6	Adams-Moulton method. Variable step-size multistep methods
7	Nth order equations and systems of equations. Euler, Runge-Kutta methods for systems.
8	Stability
9	Stability
10	Stiff differential equations.
11	Boundary value problems; Linear shooting method.
12	Nonlinear shooting method.
13	Finite difference methods for linear problems
14	Finite difference methods for nonlinear problems