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• Week 01: Numerical Integration: Introduction, Newtone-Cotes formulae
• Week 02: Rectangular Method, Grid method. Trapezoidal Rule
• Week 03: Simpson’s 1/3 Rule Simpson’s 3/8 Rule,
• Week 04: Boole's Rule, Weddle’s rule
• Week 05:Numerical Solution of ODE: Initial Value Problem, Boundary Value Problem, Euler method,
• Week 06: Modified Euler method Runge Kutta Methods, RK4
• Week 07: Multi step methods: Milne's methods, Adam Bash-forth methods
• Week 08: Linear Operators: Delta operator, average operator
• Week 09: Mid Term Examination
• Week 10: Difference Equations: Introduction to numerical solutions
• Week 11: Linear Difference equations, homogeneous difference equations
• Week 12: Inhomogeneous difference equations: Type I and Type II
• Week 13: Inhomogeneous difference equations: Type III
• Week 14: Inhomogeneous difference equations: Type IV
• Week 15: Inhomogeneous difference equations: Type V
• Week 16: Inhomogeneous difference equations: Type VI
• Week 17: Maple programming to implement numerical methods
• Week 18:Final Term Examination