Course Code:

MTH3102

Course Credit Units:

3

Semester:

Semester 1

Year of Study:

Year 3

Undergraduate or Graduate Level:

Undergraduate Level

Academic Programs:

School:

Course Description & Objectives:

This course is continuation of the Numerical Analysis I course. In this course we cover the following areas: Orthogonal functions, Gauss Quadrature rules, approximation theory, numerical solution of ordinary differential equations and solutions of partial differential equations. **Course Objectives:**By the end of this course the student should be able to:

- Define an orthogonal Sequence of functions and use orthogonal functions in integration
- Approximate discrete data or continuous functions by least squares
- Solve ordinary differential equations by common numerical techniques
- Approximate a solution of a partial differential equation by finite differences
- Write computer codes for the Gauss – Quadrature rules and the techniques for solving ordinary and partial differential equations.

Learning Outcomes:

- Define an orthogonal Sequence of functions and use orthogonal functions in integration
- Approximate discrete data or continuous functions by least squares
- Solve ordinary differential equations by common numerical techniques
- Approximate a solution of a partial differential equation by finite differences
- Write computer codes for the Gauss – Quadrature rules and the techniques for solving ordinary and partial differential equations.