Applied Engineering Mathematics

MTH00005 12.5 Credit Points Hawthorn Available to incoming Study Abroad and Exchange students


  • One Semester or equivalent

Contact hours

  • 84 hours plus blended

On-campus unit delivery combines face-to-face and digital learning.

2024 teaching periods


Higher Ed. Semester 1

Higher Ed. Semester 2

26 Feb 24 - 26 May 24

2 Jul 24

Last self enrolment:
10 Mar 24

31 Mar 24

Last withdraw without fail:
12 Apr 24

29 Jul 24 - 27 Oct 24

3 Dec 24

Last self enrolment:
11 Aug 24

31 Aug 24

Last withdraw without fail:
13 Sep 24


Assumed knowledge:
VCE 3 and 4 General Mathematics, Further Mathematics, or STAT Mathematics Test Entry

Aims and objectives

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

 Unit Learning Outcomes (ULO)
 On successful completion of this unit students will be able to:
1. Perform algebra expansion and factorisation using appropriate notation and rules in manipulating algebraic expressions. Recognise the algebraic and geometric forms of basic functions, and convert between these forms (K2) 
2. Apply general concepts of functions and graphs to polynomial, rational, exponential, logarithmic, trigonometric, hyperbolic functions of one variable, their inverses, and compositions (K2, S1, S2) 
3. Perform operations with vectors and have a working understanding of vector spaces. Use vectors to calculate scalar and vector products (K2, S1, S2) 
4. Determine limits of functions and determine the convergence or divergence of sequences (K2) 
5. Use tables of derivatives and integrals for simple functions, identify and use appropriate techniques to differentiate and integrate more functions that are complicated. Apply the rules of differentiation and integration to calculate linear approximations to functions, classify stationary points and compute areas (K2) 
6. Identify the best central tendency and variability statistics for different levels of measurement. Interpret relationships between variables using correlation and regression, using key terms appropriately (K2, S1, S2)
7. Use Boolean algebra to solve 2, 3 variable logic/circuit problems (K2, S1, S2) 
Swinburne Engineering Competencies (A1-7, K1-6, S1-4): find out more about Engineering Skills and Competencies including the Engineers Australia Stage 1 Competencies.  

Courses with unit

replaces Engineering Foundation Maths