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 2022 in Semester 1 and Semester 2 at Clayton. It has no prerequisites and unlocks 5 units, leading on to 145 units in all.
- Credit points
- 6
- Offered in 2022
- Semester 1, Semester 2
- Clayton
- Assessment
- Exam 60%
- and 2 other tasks
This is the 2022 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
PREREQUISITE: MTH1010 or VCE Mathematical Methods units 3 and 4 with a raw study score of at least 25. If you enrol in this unit and do not meet one of these two prerequisites you will be discontinued.
Overview
Properties of real and complex numbers; algebraic functions and common transcendental functions; modelling change using elementary functions; limits and continuity; rate of change, derivatives, local and global extrema; sums and integrals, anti-derivatives, calculus applications: (optimisation, area and volume, introduction to differential equations); vectors in two- and three- dimensional space.
Offerings in 2022
| Teaching period | Campus | Mode |
|---|---|---|
| First semester | Clayton | On campus |
| Second semester | Clayton | On campus |
Assessment
- Continuous assessmentOtherThreshold hurdle40%
- Continuous assessmentOther40%
- Examination (3 hours and 10 minutes)ExamThreshold hurdle60%
Learning outcomes
When you finish this unit, you should be able to:
- 1
Demonstrate basic knowledge of complex numbers, including algebraic manipulations and their various representations;
- 2
Demonstrate basic knowledge of vectors in two and three-dimensional space, their properties, and geometric applications;
- 3
Calculate simple limits to describe continuity and behaviour of one-variable real functions near a point and at infinity;
- 4
Explain how differentiation and integration arise via limits;
- 5
Calculate derivatives and integrals using a variety of methods;
- 6
Use calculus methods to analyse function characteristics such as local and global extrema, concavity and points of inflection;
- 7
Solve differential equations of the separable variables type;
- 8
Use calculus techniques to solve a variety of problems that can be modelled with functions or with first order differential equations;
- 9
Demonstrate proficiency in mathematical writing and communication.
Workload and teaching
- Applied sessions16.5 hours
- Lectures36 hours
- Teaching approachActive learning
- Three 1-hour lectures;
- One 1.5-hour applied class (in weeks 2-12) and
- 7.5 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 2022 handbook.
Contacts
- Unit Coordinators
- Dr Daniel Mathews
- Chief Examiners
- Dr 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 145 units in all.
When is MTH1020 offered?
In 2022, MTH1020 runs in Semester 1 and Semester 2 at Clayton.
Does MTH1020 have an exam?
Yes. The exam is worth 60% of the final mark, alongside 2 other tasks.
Which majors and minors include MTH1020?
MTH1020 is part of Mathematics.