Linear Algebra and Applications

MTH10013 12.5 Credit Points Hawthorn, Sarawak Available to incoming Study Abroad and Exchange students


  • One Semester or equivalent

Contact hours

  • 60 hours face to face + Blended

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

2022 teaching periods


Higher Ed. Semester 2

1 Aug 22 - 30 Oct 22

6 Dec 22

Last self enrolment:
14 Aug 22

31 Aug 22

Last withdraw without fail:
16 Sep 22


Assumed Knowledge
VCE Mathematical Methods or Equivalent

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)
Students who successfully complete this unit will be able to:
1. Perform simple operations involving determinants, the rank of a matrix and its null space (K2).
2. Perform operations with vectors and have a working understanding of vector spaces. Use vectors to calculate scalar and vector products, determine linear (in)dependence of vectors (K2, S1).
3. Use the methods of Gaussian elimination, Cramer’s rule and inverse matrices to solve systems of linear equations and apply them to relevant examples (K2, S1).
4. Describe straight lines and planes in three dimensions and the relationships between them (K2, S1).
5. Use curvilinear coordinates, linear transformations and conversions with parametric forms to solve simple problems. Determine the curvature and radius of curvature for a curve, angular velocity and torque (K2, S1).
6. Use complex numbers to solve equations, describe graphically complex numbers in the Argand plane (K2).
Swinburne Engineering Competencies (A1-7, K1-6, S1-4): find out more about Engineering Skills and Competencies including the Engineers Australia Stage 1 Competencies.