Apply Technical Mathematics
Overview
This unit of study aims to provide students with the mathematical knowledge and skills needed to support their concurrent and subsequent engineering and science studies.
Requisites
02-November-2025
01-November-2026
Unit learning outcomes
Students who successfully complete this unit will be able to:
- Perform simple operations involving determinats, the rank of a matrix and its null space.
- Perform operations with vectors to calculate scalar and vector products and determine linear (in)dependence of vectors.
- Use the methods of Cramer's rule, Guassian elimination and inverse metrices to solve systems of linear equations in simple engineering problems.
- Use complex number properties, operations, theorems, and graphical representation in the complex plane to solve mathematical problems.
- Use derivative and integral tables for basic functions, and use appropriate techniques to solve advanced differentiation/integration techniques, and simple ordinary differential equations.
- Apply the rules of differentiation and integration to find maxima, minima, and compute areas.
Teaching methods
Hawthorn
| Type | Hours per week | Number of weeks | Total (number of hours) |
|---|---|---|---|
On-campus |
6.00 | 16 weeks | 96 |
| Online Learning activities |
2.00 | 16 weeks | 32 |
| Unspecified Activities Independent Learning |
1.38 | 16 weeks | 22 |
| Total | 150 |
Assessment
| Type | Task | Weighting | ULOs |
|---|---|---|---|
| Assignment | Individual | 10-20 % | 1,2,3,4,5,6 |
| Examination | Individual | 40-50 % | 1,2,3,4,5,6 |
| Test 1 | Individual | 15-25 % | 1,2,3,4 |
| Test 2 | Individual | 15-25 % | 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) Score of 75% or more in online assignments , and
(ii) Score of 40% or more in Test 1 and Test 2 , and
(iii) Score of at least 50% in the Final examination
Students who do not successfully achieve hurdle requirement (iii) will receive a maximum of 45% as the total mark for the unit.
Content
- Vectors
- Complex numbers
- Matrices
- Linear Transformation
- Introduction to Differentiation
- Introduction to Integration
- Introduction to elements of geometry
Study resources
Reading materials
A list of reading materials and/or required textbooks will be available in the Unit Outline on Canvas.