# Mathematical Methods for Engineers 2 - 2016

To enrol in this unit, you must be accepted into a course from the provider. Read before you start

## Unit summary

### ENR115

• Level of Study: Undergraduate Level 1
• Delivery method: Fully Online
• Prerequisites: Yes
• Duration: 13 weeks
• Government loans available: HECS-HELP
• Availability for 2016: SP1 , SP4
• Availability for 2017: SP1 , SP4
• Assessment: Assignment 1 - MATLAB (15%) , Exercises - continuous assessment (20%) - Learn more

Unit provided by

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

This unit is made up of topics that relate to applied linear algebra, the solution of ordinary differential equations and techniques of integration. You will study the properties of vectors and matrices and linear systems of equations including matrix multiplication, inverses, determinants and eigen values and vectors of square matrices. You will explore the application of these techniques to coupled systems of ordinary differential equations with examples from mechanics and ecology using MATLAB software. You will learn about inverse trigonometric functions and hyperbolic functions and their derivatives. You will study techniques of integration and their application in mechanics to finding volumes of regular bodies, centre of mass and moments of inertia. You will see how to solve linear differential equations and consider applications in mechanics and electrical circuits with the aid of MATLAB.

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

1. apply elementary manipulative skills to solve mathematical problems
2. formulate simple applied problems in mathematical language
3. use the principles of differential and integral calculus and linear algebra in the solution of problems selected from engineering situations
4. solve simple applied problems using software such as MATLAB.

• Assignment 1 — MATLAB (15%)
• Exercises — continuous assessment (20%)
• Invigilated Exam (65%)

#### Mandatory conditional prerequisites

You must either have successfully completed the following unit(s) before starting this unit, or currently be enrolled in the following unit(s) in a prior study period; or enrol in the following unit(s) to study prior to this unit:

Please note that your enrolment in this unit is conditional on successful completion of these prerequisite unit(s). If you study the prerequisite unit(s) in the study period immediately prior to studying this unit, your result for the prerequisite unit(s) will not be finalised prior to the close of enrolment. In this situation, should you not complete your prerequisite unit(s) successfully you should not continue with your enrolment in this unit. If you are currently enrolled in the prerequisite unit(s) and believe you may not complete these all successfully, it is your responsibility to reschedule your study of this unit to give you time to re-attempt the prerequisite unit(s).

• Additional materials — Students will require Windows Vista, Windows 7 or higher. UniSA does not support Windows XP.
• Audio/Visual equipment — Audio headset with microphone are required to access weekly consultation and help desk facilities.

In order to enrol in this unit, you must be accepted into one of the following courses:

This unit addresses the following topics.

NumberTopic
1Vectors and matrices: linear dependence of vectors, linear systems
2Row operations and row reduced echelon form
3Matrix inverse, determinants
4Eigenvalues and eigenvectors, diagonalisation of a square matrix
5Applications to coupled systems of differential equations, mechanics, ecology
6Linear and separable differential equations of first order.. inverse trigonometric functions and hyperbolic functions
7Techniques of integration : integration by parts, partial fractions, trigonometric integrals and substitution, improper integrals
8Applications of integration in mechanics, area, volume, centre of mass, moment of inertia, work
9Linear differential equations of second order, homogenous and inhomogeneous equations
10Applications to mechanics and electrical circuits

This unit is delivered using the following methods and materials:

#### Instructional Methods

• Audio/Video conferencing
• Discussion Forum/Discussion Board
• Embedded Multimedia
• Glossary
• Online assignment submission
• Podcasting/Lecture capture
• Standard Media
• Streaming Multimedia

#### Print based materials

• Welcome Letter

#### Online materials

• Audio/Video - Streaming
• Online Assessment

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 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

• Understanding Linear Algebra Using Matlab

By:Kleinfeld

ISBN: 9780130609458

Format:Print

Supplier:Go to The Co-op Bookshop

• Value Pack Calculus, Early Transcendentals Pearson New

By:Edwards & Penney

ISBN: 9781486024933

Format:Print

Supplier:Go to The Co-op Bookshop

• Matlab & Simulink R 2014 (Mac/Win/Linux) Student

By:Mathlab

ISBN: 9780989614023

Format:Print

Supplier:Go to The Co-op Bookshop

• ### Enquire online

Need to ask a question that's best put down in words?
Make an online enquiry.