# Calculus and Matrix Algebra - 2016

## Unit summary

### MAS130

• Level of Study: Undergraduate Level 1
• Delivery method: Fully Online
• Prerequisites: Yes
• Duration: 13 weeks
• Government loans available: FEE-HELP, HECS-HELP
• Availability for 2016: SP3 , SP4
• Assessment: Assignments - x 5 (30%) , Invigilated Exam (70%)

Unit provided by

2016 Fees
AUD\$
Domestic 1,114.00
HECS 1,114.00
International 1,364.00

Calculus and matrix algebra form the basis of the mathematical knowledge required to model physical, environmental, biological and engineering systems and investigate their behaviour. This unit assumes an understanding of the basic topics and develops them further. Vector and matrix operations, determinants, inverses and eigenvalues will be considered along with differentiation, integration, sequences and series, differential equations, and introductory multivariable calculus. Applications will be considered, with computer algebra packages used to reduce tedious calculations and present results.

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

1. sketch, differentiate and integrate functions and understand the application of these
2. solve differential equations and understand their derivation and basic application
3. solve higher order differential equations and understand how they arise in practice
4. test for convergence and sum series
5. derive series representation for basic functions using Taylor series
6. understand basics of vectors and matrices
7. understand matrix operations, eigenvalues and eigen vectors and applications in modelling
8. use level curves and level surfaces to represent functions of several variables
9. use partial derivatives to derive basic properties of function of several variables.
• Assignments — x 5 (30%)
• Invigilated Exam (70%)

#### Mandatory prerequisites

You must have successfully completed the following unit(s) before starting this unit:

Or equivalent of advanced high school calculus.

This unit addresses the following topics.

NumberTopic
1Functions and differentiation revision
2Integration by parts, substitution and trigonometric substitution
31st-order differential equations and applications
4Complex numbers
52nd-order differential equations
6Infinite sequences and series
7Vectors and geometry in space
8Linear algebra for calculus
9Functions of several variables and partial derivatives

This unit is delivered using the following methods and materials:

#### Instructional Methods

• Discussion Forum/Discussion Board
• Standard Media

This unit is not currently a requirement for any courses, but may be eligible for credit.

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 Co-Op textbook list.

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

• Calculus, International Metric Edition

By:Stewart, James

ISBN: 9781305266728

Format:Print

Supplier:Go to The Co-op Bookshop

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