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 2020 in Semester 1 and Semester 2 at Clayton. It has no prerequisites and unlocks 6 units, leading on to 142 units in all.
- Credit points
- 6
- Offered in 2020
- Semester 1, Semester 2
- Clayton
- Assessment
- Exam 60%
- and 1 other task
This is the 2020 handbook entry. See the 2027 entry.
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Requisites
Before MTH1020
No prerequisites or corequisites besides the enrolment rules below.
After MTH1020
6 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. 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 2020
| Teaching period | Campus | Mode |
|---|---|---|
| First semester | Clayton | On campus |
| First semester (Fully flex) | Clayton | Flexible |
| Second semester | Clayton | On campus |
Assessment
- In-semester assessmentThreshold hurdle40%
- Examination (3 hours and 10 minutes)Threshold 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
- Lectures36 hours
- Applied sessions24 hours
- Teaching approachActive learning
Three 1-hour lectures and one 2-hour applied class per week
Active learning will occur in lectures and applied classes.
Where it fits
MTH1020 is part of 3 areas of study in the 2020 handbook.
Contacts
- Chief Examiners
- Dr Daniel Mathews
- Unit Coordinators
- Dr Brett Parker
- 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 6 units, including ASP2011, MTH1030, MTH1035, MTH3121, PHS1001 and PHS1011. Those lead on to 142 units in all.
When is MTH1020 offered?
In 2020, 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 1 other task.
Which majors and minors include MTH1020?
MTH1020 is part of Mathematics.