Pre-requisites: Linear Algebra and Differential Equations
COURSE OBJECTIVES:
To introduce commonly used numerical techniques in computer engineering
ESSENTIAL TOPICS TO BE COVERED:
- Numerical solution of algebraic equations
- Numerical differentiation and integration
- Computer based solutions of difference and differential equations
COURSE DESCRIPTION:
Floating Point number system. Error analysis. Solutions of equations. Interpolation. Splines. Numerical differentiation and integration. Numerical methods in linear algebra, system of linear equations, method of least squares, eigen values, eigenvectors. Solution of ordinary and partial differential equations. This subject is to be upplemented with extensive computer exercises.
Recommended Text(s):
- Erwin Kreyszig, WIE Advanced Engineering Mathematics, Ninth Edition, International Edition, John Wiley & Sons.
- Curtis F.Gerald Patrick O. Wheatley: Applied Numerical Analysis, Addison-Wesley Donald Greenspan & Vincenzo Casulli: Numerical Analysis For Applied Mathematics, Science, and Engineering, Addison-Wesley
- David Kahaner: Numerical Methods and Software, Prentice Hall.
- Numerical Analysis by Dr. Saeed Akhter Bhatti.
- Numerical Analysis by Prof. Sher Muhammad Chawdery.