MAT 202E - Numerical Methods

Course Objectives

This course is an introduction to numerical modeling and computing in engineering and science through numerical methods. The intention of the course is to provide students with state of the art analytical and numerical methods for the analysis of complex engineering problems. The objectives of the course are such that students acquire knowledge to analytically and numerically simulate various mechanical phenomena as observed in various fields of engineering and science as a whole. This will be achieved by developing a thorough understanding of the physics behind, providing numerical solutions to the boundary value problems and utilizing basic numerical methods. Computational techniques using the classical methods such as the Finite Difference Method will also be discussed in details and applied to the solution of basic engineering problems.

Course Description

1. Introduction to Numerical Methods
2. Error Analysis
3. Taylor Series Expansion and Finite Difference Method
4. Solution of Linear System of Equations Using Direct Methods
5. Solution of Linear System of Equations Using Iterative Methods
6. Solution of Nonlinear System of Equations and Newton-Raphson Method
6. Curve Fitting
7. Interpolation of Equations
8. Numerical Integration