Overview

This unit of study aims to provide students with mathematical knowledge and skills needed to support their concurrent and subsequent engineering and science studies.

Requisites

Prerequisites
MTH10012 Calculus and Applications

AND ONE OF
MTH10013 Linear Algebra and Applications
OR
MTH10003 Engineering Mathematics 2P *
OR
MTH10007 Engineering Mathematics 2 *

Teaching periods
Location
Start and end dates
Last self-enrolment date
Census date
Last withdraw without fail date
Results released date
Semester 1
Location
Hawthorn
Start and end dates
03-March-2025
01-June-2025
Last self-enrolment date
16-March-2025
Census date
31-March-2025
Last withdraw without fail date
24-April-2025
Results released date
08-July-2025
Semester 2
Location
Hawthorn
Start and end dates
04-August-2025
02-November-2025
Last self-enrolment date
17-August-2025
Census date
31-August-2025
Last withdraw without fail date
19-September-2025
Results released date
09-December-2025

Learning outcomes

Students who successfully complete this unit will be able to:

  • Calculate the eigenvalues and eigenvectors of 2x2 and 3x3 matrices (K2, S1)
  • Interpret the quadratic form and find its canonical form (K2, S1)
  • Use the Cayley-Hamilton theorem to simplify matrix powers (K2, S1)
  • Apply Vector Calculus to analyse and model processes that arise in scientific and engineering applications (K2, S1)
  • Apply Green’s theorem, Ostrogradsky-Gauss’ divergence theorem and Stokes’ theorem (K2, S1)
  • Perform operations with complex numbers, understand and use the concepts of analyticity and function singularities in computing contour integrals (K2, S1)

Teaching methods

Hawthorn

Type Hours per week Number of weeks Total (number of hours)
On-campus
Lecture
4.00 12 weeks 48
On-campus
Class
1.00 12 weeks 12
Online
Learning activities
1.00 12 weeks 12
Unspecified Activities
Independent Learning
6.50 12 weeks 78
TOTAL150

Sarawak

Type Hours per week Number of weeks Total (number of hours)
On-campus
Lecture
4.00 12 weeks 48
On-campus
Class
1.00 12 weeks 12
Online
Learning activities
1.00 12 weeks 12
Unspecified Activities
Independent Learning
6.50 12 weeks 78
TOTAL150

Assessment

Type Task Weighting ULO's
ExaminationIndividual 50 - 55% 1,2,3,4,5,6 
Online QuizzesIndividual 5% 1,2,3,4,5,6 
TestIndividual 20 - 25% 1,2,3 
TestIndividual 20 - 25% 4,5 

Hurdle

As the minimum requirements of assessment to pass a unit and meet all ULOs to a minimum standard, an undergraduate student must have achieved:

(i) an aggregate mark of 50% or more, and(ii) at least 40% in the final exam.Students who do not successfully achieve hurdle requirement (ii) will receive a maximum of 45% as the total mark for the unit.

Content

  • Matrix Analysis: eigenvalue problems, reduction to canonical form, matrix operations, science and engineering applications
  • Vector Calculus: derivatives of a scalar and vector-valued functions; differential vector operators; line, surface and volume integrals; Green’s, Ostrogradsky-Gauss’ and Stokes’ theorems with applications
  • Functions of a complex variable: review of complex numbers, analytical functions, differentiation of function of a complex variable, complex series, singularities, zeros and residues, contour integration, science and engineering applications

Study resources

Reading materials

A list of reading materials and/or required textbooks will be available in the Unit Outline on Canvas.