Units / MTH1010
MTH1010 · Functions and their applications
2025 Handbook6 credit pointsLevel 1School of Mathematics
Overview
Functions, domain and range, function representation; different types of functions including linear, exponential, logarithmic, trigonometric, polynomial and rational functions; function algebra; composition of functions; inverse of functions; transformations; modelling with functions; rates of change; introduction to differentiation and integration, including techniques and applications.
Offerings
| Campus | Teaching period | Mode |
|---|---|---|
| Clayton | First semester | Teaching activities are on-campus (ON-CAMPUS) |
| Clayton | Second semester | Teaching activities are on-campus (ON-CAMPUS) |
Assessment
The Handbook lists an examination for this unit.
| # | Assessment | Type | Weight | Hurdle |
|---|---|---|---|---|
| 1 | 1 - Continuous assessment | Demonstration | 50% | — |
| 2 | 2 - Final assessment (3 hours and 10 minutes) | Examination | 50% | — |
Requisites
prohibition
PROHIBITION: ENG1005, ENG1090, ENG1091, MTH1049, MTH1020, MTH1030, MTH1035 and MTH1040. Note that MTH1010 can only be completed prior to MTH1020 and MTH1030/MTH1035 or equivalent. If you have achieved a raw study score of at least 25 in VCE Mathematical Methods units 3/4 (or equivalent) you are not permitted to enrol in MTH1010.
ENG1005ENG1090ENG1091MTH1049MTH1020MTH1030MTH1035MTH1040Learning outcomes
- Describe the properties of elementary functions by means of tables, graphs and mathematical expressions;
- Manipulate functions using a range of methods from algebra and calculus;
- Apply functions and appropriate mathematical tools to model simple physical systems;
- Communicate mathematical arguments in written form.
Workload
• Three 1-hour seminars; • One 1.5-hour applied class (in weeks 2-12) and • 7.5 hours of independent study per week.
| Activity | Duration |
|---|---|
| Applied sessions | 16.5 hours |
| Seminars | 36 hours |
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