MTH1020 Analysis of change
Faculty of Science
MTH1020 Analysis of change 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 5 units, leading on to 144 units in all.
- Credit points
- 6
- Offered in 2026
- Semester 1, Semester 2
- Clayton
- Assessment
- Exam 30%
- and 3 other tasks
This is the 2026 handbook entry. See the 2027 entry.
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Requisites
Before MTH1020
No prerequisites or corequisites besides the enrolment rules below.
After MTH1020
5 units list MTH1020 as a prerequisite or corequisite.
Enrolment rules
PROHIBITION: ENG1090, ENG1091, ENG1005, MAT1841, MTH1055, MTH1030 and MTH1035.
Note that MTH1020 can only be completed prior to MTH1030 or MTH1035 and if you have already completed one of these you cannot enrol subsequently in MTH1020.
PREREQUISITE: MTH1010 or VCE Mathematical Methods units 3 and 4 with a raw study score of at least 25.
Overview
This unit develops critical thinking generally as well as a comprehensive understanding of several important areas of mathematics, equipping you with versatile techniques and skills applicable within specific disciplines, for example the natural sciences, engineering, computer science, and economics.
The unit is broken up into three areas. First, the focus is on logic and proofs, which are fundamental to mathematical reasoning. Topics covered include proof by induction and proof by contradiction.
Second, vectors and complex numbers are covered. Topics covered include: definitions and properties of vectors; dot and cross product; lines and planes in 3-dimensional space; definitions and properties of complex numbers; Cartesian and exponential forms of complex numbers; powers and roots of complex numbers.
Third, the unit delves into calculus. Topics covered include: rates of change and derivatives; local and global extrema; optimisation and related rates; anti-derivatives and integrals; applications of integrals to calculating areas and volumes.
Offerings in 2026
| Teaching period | Campus | Mode |
|---|---|---|
| First semester | Clayton | On campus |
| Second semester | Clayton | On campus |
Assessment
- Applied class quizzesQuiz / Test15%
- Mid-semester testsQuiz / Test30%
- Problem solving activitiesQuiz / Test25%
- Final assessment - Exam (3 hours and 10 minutes)Examination30%
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
Demonstrate a deep conceptual understanding of mathematical proofs, vectors, complex numbers, and differential and integral calculus;
- 2
Solve basic and complex mathematical problems involving proofs, vectors, complex numbers, and calculus techniques;
- 3
Model practical scenarios using vectors, complex numbers, and calculus, identify relevant solution strategies and communicate solutions effectively through written presentations;
- 4
Use calculus methods to analyse function characteristics such as local and global extrema, concavity, and points of inflection;
- 5
Collaborate and communicate effectively in small groups to analyse, discuss, and solve mathematical problems.
Workload and teaching
- Seminars24 hours
- Applied sessions22 hours
- Teaching approachActive learning
- Two1-hour seminars;
- One 2-hour applied class (in weeks 2-12) and
- 8 hours of independent study per week.
Active learning will occur in lectures and applied classes.
Where it fits
MTH1020 is part of 3 areas of study in the 2026 handbook.
Contacts
- Unit Coordinators
- Associate Professor Daniel Mathews
- Eileen Pan
- Chief Examiners
- Eileen Pan
- Associate Professor Daniel Mathews
Common questions
What are the prerequisites for MTH1020?
MTH1020 has no prerequisites, but enrolment rules apply.
What can I take after MTH1020?
MTH1020 is a prerequisite or corequisite for 5 units, including ASP2011, MTH1030, MTH1035, PHS1001 and PHS1011. Those lead on to 144 units in all.
When is MTH1020 offered?
In 2026, MTH1020 runs in Semester 1 and Semester 2 at Clayton.
Does MTH1020 have an exam?
Yes. The exam is worth 30% of the final mark, alongside 3 other tasks.
Which majors and minors include MTH1020?
MTH1020 is part of Mathematics.