MTH1010 Functions and their applications
Faculty of Science
MTH1010 Functions and their applications is a level 1, 6-credit-point, undergraduate unit from the Faculty of Science, offered in 2026 in Semester 1 and Semester 2 at Clayton. It has no prerequisites and unlocks 3 units, leading on to 199 units in all.
- Credit points
- 6
- Offered in 2026
- Semester 1, Semester 2
- Clayton
- Assessment
- Exam 50%
- and 1 other task
This is the 2026 handbook entry. See the 2027 entry.
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Requisites
Before MTH1010
No prerequisites or corequisites besides the enrolment rules below.
After MTH1010
3 units list MTH1010 as a prerequisite or corequisite.
Enrolment rules
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.
PREREQUISITE: It is recommended that you will have successfully completed either VCE Mathematical Methods 1/2 or VCE Further Mathematics 3/4 or equivalent. If you do not have one of these, you may need to undertake additional private study beyond the normal workload requirements.
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 in 2026
| Teaching period | Campus | Mode |
|---|---|---|
| First semester | Clayton | On campus |
| Second semester | Clayton | On campus |
Assessment
- Continuous assessmentDemonstration50%
- Final assessment (3 hours and 10 minutes)Examination50%
Assessment details may change. Please refer to the assessment information in Moodle closer to the start of the teaching period.
Learning outcomes
When you finish this unit, you should be able to:
- 1
Interpret and represent the properties of elementary functions using graphs, symbolic expressions, and digital tools;
- 2
Manipulate and transform functions using a range of algebraic, numerical, and introductory calculus techniques to solve mathematical problems;
- 3
Apply functions and mathematical models to analyse and solve problems in real-world physical, scientific, and technological contexts;
- 4
Communicate mathematical reasoning effectively, both individually and in groups, to solve problems.
Workload and teaching
- Seminars36 hours
- Applied sessions22 hours
- Teaching approachActive learning
- Teaching approachOnline learning
- Three hours of seminars;
- One 2-hour applied class (in weeks 2-12) and
- Seven hours of independent study per week.
Active learning will occur in lectures and applied classes.
Online learning will be used to illustrate and explain concepts and to highlight links between theory and practical work.
Learning resources
Required resources
Calculus1 with Precalculus, 3 rd ed - Larson R, Hostetler, Edwards (Houghton 2012).
Technology resources
You should have access to a computer with internet connection.
Contacts
- Unit Coordinators
- Mr Simon Teague
- Chief Examiners
- Mr Simon Teague
Common questions
What are the prerequisites for MTH1010?
MTH1010 has no prerequisites, but enrolment rules apply.
What can I take after MTH1010?
MTH1010 is a prerequisite or corequisite for 3 units, including MTH1020, PHS1002 and STA1010. Those lead on to 199 units in all.
When is MTH1010 offered?
In 2026, MTH1010 runs in Semester 1 and Semester 2 at Clayton.
Does MTH1010 have an exam?
Yes. The exam is worth 50% of the final mark, alongside 1 other task.