Units / MTH1010
MTH1010 · Functions and their applications
2027 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 | Second semester | Teaching activities are on-campus (ON-CAMPUS) |
| Clayton | First semester | Teaching activities are on-campus (ON-CAMPUS) |
Assessment
The Handbook lists an examination for this unit.
| # | Assessment | Type | Weight | Hurdle |
|---|---|---|---|---|
| 1 | Continuous assessment | Demonstration | 50% | — |
| 2 | Final assessment (3 hours and 10 minutes) | Examination | 50% | — |
Assessment details may change. Please refer to the assessment information in Moodle closer to the start of the teaching period.
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
- Interpret and represent the properties of elementary functions using graphs, symbolic expressions, and digital tools;
- Manipulate and transform functions using a range of algebraic, numerical, and introductory calculus techniques to solve mathematical problems;
- Apply functions and mathematical models to analyse and solve problems in real-world physical, scientific, and technological contexts;
- Communicate mathematical reasoning effectively, both individually and in groups, to solve problems.
Workload
• Three hours of seminars; • One 2-hour applied class (in weeks 2-12) and • Seven hours of independent study per week.
| Activity | Duration |
|---|---|
| Applied sessions | 22 hours |
| Seminars | 36 hours |
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