Applied Mathematics
MAS120
Not sure where to start?
- Is online study right for me?
- Why OUA?
- What should I study?
- How does it work?
- How do I enrol?
Discover what's involved in studying through OUA.
Find out moreOverview
Level of study: What does Undergraduate Level 1 mean?
Undergraduate Level 1
EFTSL: What does EFTSL mean?
0.125
Delivery Method: What does delivery method mean?
Web Supplemented
Prerequisites: What are the prerequisites?
Availability: What is a Study period?
For enrolment (2012): For forward planning* (2013): What is Forward Planning?- -
- SP2
- SP3
- -
Duration:
13 weeks
Fee: Fees (current and planned)
- Domestic student fee:
- $1,039.00 (AUD)
- HECS student fee:
- $565.00 (AUD)
- International student fee:
- $1,264.00 (AUD)
Description
This unit provides an introduction to differential and integral calculus, and basic ordinary differential equations. The concepts and techniques will be motivated and illustrated using mathematical models in the physical and biological sciences, commerce, economics and the social sciences. Other topics include complex numbers and their applications.
Prerequisites
Equivalent units
You cannot enrol in this unit if you have successfully completed any of the following unit(s) because they are considered academically equivalent:
- MAT14 — Mathematics for Sciences and Technology 1A
Recommended prerequisites
You are recommended to have completed the following unit(s) or have equivalent knowledge before starting this unit:
Or equivalent of introductory high school calculus.
Assessment
- Assignments — x 5 (30%)
- Invigilated Exam (70%)
Learning Outcomes
At the completion of this unit students will be able to:
- calculate limits and finite and infinite points
- differentiate powers, exponentials, logs and trigonometric functions
- integrate powers, exponentials, logs and trigonometric functions
- use the product, quotient and chain rules
- use substitution and integration by parts
- solve separable and linear first order ODEs
- solve optimisation problems using calculus
- use linear approximations and related rates
- do basic algebra including exponential functions with complex numbers in Cartesian and polar form.
Topics
This unit addresses the following topics.
| Number | Topic |
|---|---|
| 1 | Functions |
| 2 | The derivative |
| 3 | Calculating the derivative |
| 4 | Graphs and the derivative |
| 5 | Applications of the derivative |
| 6 | Exponential and logarithmic functions |
| 7 | Integration |
| 8 | Further techniques and applications of integration |
| 9 | Trigonometric functions and their inverse |
| 10 | Complex numbers |
| 11 | Differential equations of first order |
| 12 | Applications of differential equations |
Study Resources
This unit is delivered using the following methods and materials:
Instructional Methods
- Discussion Forum/Discussion Board
- Podcasting/Lecture capture
- Standard Media
- Web links
Print based materials
- Welcome Letter
Textbooks are subject to change within the academic year. Students are advised to purchase their books no earlier than one to two months before the start of a unit.
Click on the titles of the listed books below to find out more:
Required textbooks
Recommended textbooks
There are no recommended textbooks for this unit.
Relevant Courses
This unit is a core requirement in the following courses:
- Bachelor of Science in Sustainable Energy Management, Murdoch University
- Bachelor of Science (Applied Sciences), RMIT University
This unit may be eligible for credit towards other courses:
- Many undergraduate courses on offer through OUA include 'open elective' where any OUA unit can be credited to the course. You need to check the Award Requirements on the course page for the number of allowed open electives and any level limitations.
- In other cases, the content of this unit might be relevant to a course on offer through OUA or elsewhere. In order to receive credit for this unit in the course you will need to supply the provider institution with a copy of the Unit Profile in the approved format, which you can download here. Note that the Unit Profile is set at the start of the year, and if textbooks change this may not match the Unibooks textbook list.
If you would like to study this unit and enrol today, add it to your Study Cart. Alternatively if you are still exploring your options, you can save this unit to review later by clicking Save to Wishlist.
Let's talk
Have a question? Give us a call.
