  Area/Catalogue
MATH 1079

Course Level

Study Method
100% online

Course ID
170263

Unit Value
4.5

UniSA Online Elective Course
Yes

Duration
10 weeks

Availability/Timetable(s)

## Course aim

To develop and extend mathematical concepts relevant to mechanical, civil and electrical engineering using both analytic and software approaches.

## Course content

Applied Linear Algebra
Vectors and matrices, linear dependence of vectors, linear systems of equations, row operations as matrix multiplications, row reduced echelon form (RREF), matrix inverse, determinants, eigenvalues and eigenvectors of a square matrix, degenerate eigenvalues, diagonalisation of a square matrix, application to coupled systems of ordinary differential equations with examples from mechanics and ecology. MATLAB exercises.

Ordinary Differential Equations (ODEs) and Techniques of Integration
Linear and separable differential equations of first order. Inverse trigonometric functions and their derivatives, hyperbolic functions. Techniques of integration: Integration by parts, integration using partial fractions, trigonometric integrals, trigonometric substitutions. Improper integrals. Applications of integration in mechanics: area, volume of regular bodies, centre of mass, moment of inertia, work. Linear differential equations of second order: reduction of order, homogenous and inhomogeneous equations, constant coefficient ODEs, applications in mechanics and electrical circuits. MATLAB exercises.

## Textbooks

Edwards, CH & Penney DE 2014, Calculus Early Transcendentals, 7th, Pearson Prentice Hall

Kleinfeld, E & Kleinfeld, M 2001, Understanding Linear Algebra Using MATLAB, -, Prentice Hall, -

Jensen, G 2000, Using MATLAB in Calculus, -, Prentice Hall, -

## Prerequisites

Subject Area & Catalogue Number Course Name
Group 1
Students must have completed one of the following courses:
MATH 1078 UO Mathematical Methods for Engineers 1
MATH 1063 Mathematical Methods for Engineers 1

Nil

## Teaching Method

Component Duration
EXTERNAL, ONLINE ACTIVITY
Online 10 weeks x N/A

Note: These components may or may not be scheduled in every study period. Please refer to the timetable for further details.

## Assessment

Examination, Problem solving exercise, Test/Quiz

## Fees

EFTSL*: 0.125
Commonwealth Supported program (Band 1)
To determine the fee for this course as part of a Commonwealth Supported program, go to:
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Fee-paying program for domestic and international students
International students and students undertaking this course as part of a postgraduate fee paying program must refer to the relevant program home page to determine the cost for undertaking this course.

Non-award enrolment
Non-award tuition fees are set by the university. To determine the cost of this course, go to:
How to determine the relevant non award tuition fee. (Opens new window)

Not all courses are available on all of the above bases, and students must check to ensure that they are permitted to enrol in a particular course.

* Equivalent Full Time Study Load. Please note all EFTSL values are published and calculated at ten decimal places. Values are displayed to three decimal places for ease of interpretation