Mathematics 3A

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 *

Antirequisites

MTH20014 Matrices, Vector Calculus and Complex Analysis
MTH20017 Mathematical Methods and Statistics for Engineering

Teaching periods

Location

Start and end dates

Last self-enrolment date

Census date

Last withdraw without fail date

Results released date

Semester 1

Hawthorn

03-March-2025
01-June-2025

16-March-2025

31-March-2025

24-April-2025

08-July-2025

Semester 2

Hawthorn

04-August-2025
02-November-2025

17-August-2025

31-August-2025

19-September-2025

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)
Execute numerical solutions of initial and boundary value problems (K2, S1)
Use finite difference methods to obtain numerical solutions of selected partial differential equations (K2, S1)
Demonstrate competence using Matlab to solve statistical and computational mathematics problems (S1)
Appropriately apply probability concepts including unconditional and conditional probability, probability distributions, population measures of location and dispersion to analyse data; use concepts in correlation and regression, chi-square test to analyse relationships in bivariate data (K2, S1)
Apply the basic concepts of statistical inference including interval estimation, sample size and hypothesis testing in various contexts (K2, S1)

Teaching methods

Hawthorn

Type	Hours per week	Number of weeks	Total (number of hours)
On-campus Lecture	3.00	12 weeks	36
On-campus Class	1.00	12 weeks	12
On-campus Class	1.00	12 weeks	12
Online Directed Online Learning and Independent Learning	1.50	12 weeks	18
Unspecified Activities Independent Learning	6.00	12 weeks	72
TOTAL			150

Sarawak

Type	Hours per week	Number of weeks	Total (number of hours)
On-campus Lecture	3.00	12 weeks	36
On-campus Class	1.00	12 weeks	12
On-campus Class	1.00	12 weeks	12
Unspecified Activities Independent Learning	7.50	12 weeks	90
TOTAL			150

Assessment

Type	Task	Weighting	ULO's
Examination	Individual	40 - 55%	1,2,3,4,6,7
Online Assignment	Individual	10 - 20%	6,7
Project	Individual/Group	15 - 20%	3,4,5
Test 1	Individual	10 - 15%	1,2

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, science and engineering applications
Initial value problems for ordinary differential equations: Taylor series and finite differences; order notation; local error estimation; Euler and Runge-Kutta methods for first order ordinary differential equations; extension to systems of equations and higher order equations
Boundary value problems for ordinary differential equations: central difference approximation and finite difference solutions
Finite difference solution of selected linear partial differential equations occurring in science and engineering applications
Applied Probability and Statistics: exploratory data analysis, probability, random variables and probability distributions, hypothesis testing, correlation and regression, contingency tables

Study resources

Reading materials

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