| Delivery Type | Delivery length / details |
|---|---|
| Lecture | 22 Hours. (22 x 1 hour lectures) |
| Seminars / Tutorials | 5 Hours. (5 x 1 hour tutorials) |
| Assessment Type | Assessment length / details | Proportion |
|---|---|---|
| Semester Assessment | Coursework Mark based on attendance at lectures and tutorials and work handed in | 20% |
| Semester Exam | 2 Hours (written examination) | 80% |
| Supplementary Assessment | 2 Hours (written examination) | 100% |
On completion of this module, a student should be able to:
1. solve systems of linear equations,
2. manipulate matrices according to the laws of matrix algebra,
3. evaluate determinants of square matrices,
4. determine partial derivatives of functions of several variables and establish identities involving them,
5. obtain the critical points of functions of several variables,
6. evaluate multiple integrals in rectangular coordinates,
7. evaluate multiple integrals using change of variables.
The aim of this module is to study situations in which functions of several variables arise naturally in Mathematics. Linear functions lead to techniques for the solution of linear equations and elementary matrix theory. Non-linear functions lead to a study of partial derivatives and multiple integrals.
To establish a clear understanding of the techniques for studying functions of several variables and a facility for recognising when these techniques may be profitably employed.
This module is at CQFW Level 4