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COURSE INFORMATION FOR CURRENT SEMESTER/TERM

References/Teaching Materi-
Week Lecture/Tutorial/Assignment Topic
als/Equipment
1 Introduction to numerical methods: Introduction, accuracy and stability Reference books and course
and error analysis.
notes

2 Non linear equations, graphical and bisection methods. Reference books and course
notes
3 False position, simple one point iteration and Newton Raphson meth- Reference books and course
ods notes
4 Secant method and solving system of non-linear equations Reference books and course
notes

5 High-Accuracy Differentiation Formulas; Richardson Extrapolation. Reference books and course
notes
Single and multiple application of Trapezoidal Rule, Simpson’s 1/3
6 Reference books and course
Rules.
notes

7 Multiple application of Simpson’s 1/3 Rule, Simpson’s 3/8 rule Reference books and course
notes
8 Solving first order differential equation (ODE) using Euler’s, Heun’s and Reference books and course
Improved polygon method notes

9 Second order Runge-Kutta Methods. Reference books and course
notes

10 Fourth order Runge-Kutta Methods Reference books and course
notes
11 Solving second order ordinary differential equations and systems of Reference books and course
ODE notes

12 Partial differential equations. Elliptic and parabolic equations Reference books and course
notes

13 Initial values problems and boundary conditions, Laplace equation and Reference books and course
its solution techniques using gauss Seidel method. notes
14 Reference books and course
Heat conduction equation using the explicit, implicit and Crank- meth- notes
ods.

UM-PT01-PK03-BR004(BI)-S04