Unit name | Numerical Analysis 23 |
---|---|
Unit code | MATH30010 |
Credit points | 20 |
Level of study | H/6 |
Teaching block(s) |
Teaching Block 2 (weeks 13 - 24) |
Unit director | Dr. Sieber |
Open unit status | Not open |
Pre-requisites |
First year core units (MATH11006 Analysis 1 (or MATH10003 Analysis 1A and MATH10006 Analysis 1B), MATH11007 Calculus 1, MATH11005 Linear Algebra and Geometry) |
Co-requisites |
None |
School/department | School of Mathematics |
Faculty | Faculty of Science |
This unit is intended to serve as a first course in numerical analysis. As such the fundamental areas of root finding, numerical differentiation, numerical integration and solving ordinary differential equations will be covered. The emphasis will be to explore numerical techniques for solving these problems theoretically. Computer programming is not required for this unit.
Unit aims
To introduce students to the basics of numerical analysis; this is broadly the study of numerical methods for solving mathematical problems.
Syllabus
Relation to other units
This unit is a more advanced version of the Level I/5 unit, Numerical Analysis 2. The lectures for Numerical Analysis 2 and Numerical Analysis 23 are the same, but the problem sheets and examination questions for Numerical Analysis 23 are more challenging. Students may NOT take both Numerical Analysis 2 and Numerical Analysis 23.
At the end of this unit, students should be able to
Transferable Skills: Computational techniques; interpretation of computational results; relation of numerical results to mathematical theory.
Lectures; weekly problem classes; theoretical and computational exercises to be done by students.
The final assessment mark will be entirely based upon a 2 ½-hour examination
A good text which covers most of the course is:
Other texts that may be helpful to students looking for an alternative point of view on the material
Many other books can be found in the numerical analysis section (books QA297 ***)