Linear Algebra and Applications

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

Duration

  • One Semester or equivalent

Contact hours

  • 60 hours face to face + Blended

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

2024 teaching periods

Hawthorn

Summer
Hawthorn

Higher Ed. Semester 1

Dates:
2 Jan 24 - 11 Feb 24

Results:
27 Feb 24

Last self enrolment:
2 Jan 24

Census:
12 Jan 24

Last withdraw without fail:
2 Feb 24

Dates:
26 Feb 24 - 26 May 24

Results:
2 Jul 24

Last self enrolment:
10 Mar 24

Census:
31 Mar 24

Last withdraw without fail:
12 Apr 24

More teaching periods
Hawthorn

Higher Ed. Semester 2

Dates:
29 Jul 24 - 27 Oct 24

Results:
3 Dec 24

Last self enrolment:
11 Aug 24

Census:
31 Aug 24

Last withdraw without fail:
13 Sep 24


Prerequisites

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.