# Applied Mathematics

## MAS120

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### Overview

0.125

Web Supplemented

#### Availability: What is a Study period?

For enrolment (2012):
For forward planning* (2013): What is Forward Planning?
• -
• SP2
• SP3
• -
* Subject to change

13 weeks

#### Government loans available:

FEE-HELP FEE-HELP
HECS-HELP HECS-HELP

#### 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%)
For more information on invigilated exams see Exams and results

### Learning Outcomes

At the completion of this unit students will be able to:

1. calculate limits and finite and infinite points
2. differentiate powers, exponentials, logs and trigonometric functions
3. integrate powers, exponentials, logs and trigonometric functions
4. use the product, quotient and chain rules
5. use substitution and integration by parts
6. solve separable and linear first order ODEs
7. solve optimisation problems using calculus
8. use linear approximations and related rates
9. do basic algebra including exponential functions with complex numbers in Cartesian and polar form.

### Topics

This unit addresses the following topics.

NumberTopic
1Functions
2The derivative
3Calculating the derivative
4Graphs and the derivative
5Applications of the derivative
6Exponential and logarithmic functions
7Integration
8Further techniques and applications of integration
9Trigonometric functions and their inverse
10Complex numbers
11Differential equations of first order
12Applications 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

#### 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:

### Relevant Courses

This unit is a core requirement in the following courses:

This unit may be eligible for credit towards other courses:

1. 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.
2. 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.

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