Optimisation
Overview
This unit aims to develop the ability to cast real life situations as mathematical problems and apply efficient analytical and computational methods to solve them.
Requisites
AND EITHER
MTH10012 Calculus and Applications
OR
MTH10007 Engineering Mathematics 2 *
01-June-2025
Learning outcomes
Students who successfully complete this unit will be able to:
- Classify mathematical programming problems as linear or nonlinear
- Use graphical and analytical tools to solve linear programming problems
- Classify mathematical programming problems as convex or nonconvex
- Formulate real-life problems as mathematical programming problems (linear and convex problems
- Use appropriate optimisation tools and software (Matlab and Excel) to solve mathematical programming problems
- Solve binary, integer and mixed integer programming problems
Teaching methods
Hawthorn
| Type | Hours per week | Number of weeks | Total (number of hours) |
|---|---|---|---|
| On-campus Lecture | 2.00 | 12 weeks | 24 |
| On-campus Class | 1.00 | 12 weeks | 12 |
| On-campus Class | 1.00 | 12 weeks | 12 |
| Online Learning activities | 1.25 | 12 weeks | 15 |
| Unspecified Activities Independent Learning | 7.25 | 12 weeks | 87 |
| TOTAL | 150 |
Assessment
| Type | Task | Weighting | ULO's |
|---|---|---|---|
| Examination | Individual | 50 - 60% | 1,2,3,4,5,6 |
| Online Assignment | Individual | 20 - 30% | 1,2,3,4,5,6 |
| Test | Individual | 20 - 30% | 1,2,3,4,5,6 |
Hurdle
As the minimum requirements of assessment to pass a unit and meet all Unit Learning Outcomes to a minimum standard, a student must achieve:
(i) an aggregate mark of 50% or more, and
(ii) at least 40% in the final exam.
Students who do not successfully achieve hurdle requirement (ii) will receive a maximum of 45% as the total mark for the unit.
Content
- Linear and convex functions
- Linear Programming Problems and real-world applications
- Integer and Mixed Integer Linear Programming Problems and real-world applications
- Convex Programming problems and real-world applications
Study resources
Reading materials
A list of reading materials and/or required textbooks will be available in the Unit Outline on Canvas.