Essential Mathematics
Overview
This unit of study aims to provide students with the mathematical knowledge and skills to support their concurrent and subsequent studies, providing a thorough grounding in mathematics.
Requisites
Admission into a Bachelor of Engineering (Honours), Bachelor of Aviation or Bachelor of Science course.
OR
MTH00007 Preliminary Mathematics
OR
MTH00005 Applied Engineering Mathematics
02-November-2025
Learning outcomes
Students who successfully complete this unit will be able to:
- Identify and apply standard approaches to solve mathematical systems and models
- Recognise and compose algebraic and geometric forms of functions, and convert between these forms
- Model the relationship between real life phenomena and functions that model it, the appropriateness of these models, and associated errors
- Follow the principles of unbiased sampling, represent data using descriptive statistics and graphical approaches, using the normal distribution to produce interval estimates of parameters
- Interpret relationships between variables using correlation, regression and techniques of statistical inference, using key terms appropriately
- Use tables of derivatives and integrals for simple functions and identify and use appropriate techniques to differentiate and integrate more complicated functions, and solve simple ordinary differential equations
- Apply the rules of differentiation and integration to calculate linear approximations of functions, classify stationary points, and compute areas
Teaching methods
Hawthorn
| Type | Hours per week | Number of weeks | Total (number of hours) |
|---|---|---|---|
| On-campus Lecture |
4.00 | 9 weeks | 36 |
| On-campus Class |
1.00 | 12 weeks | 12 |
| On-campus Class |
4.00 | 3 weeks | 12 |
| Specified Activities Various |
2.00 | 12 weeks | 24 |
| Unspecified Activities Independent Learning |
5.50 | 12 weeks | 66 |
| TOTAL | 150 |
Assessment
| Type | Task | Weighting | ULO's |
|---|---|---|---|
| Examination | Individual | 40 - 60% | 1,2,3,4,5,6,7 |
| Online Assignment | Individual | 5 - 25% | 1,2,3,4,6,7 |
| Project Report | Individual | 5 - 25% | 4,5 |
| Test | Individual | 5 - 25% | 1,2,3 |
Hurdle
As the minimum requirements of assessment to pass a unit and meet all ULOs to a minimum standard, an undergraduate student must have achieved:
(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
- Sets, Limits and Functions
- Modelling and Error
- Descriptive Statistics
- Inferential Statistics
- Differentiation
- Integration
- Ordinary Differential Equations
Study resources
Reading materials
A list of reading materials and/or required textbooks will be available in the Unit Outline on Canvas.