# 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

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

## 2022 teaching periods

HawthornHigher Ed. Semester 1 HawthornHigher Ed. Semester 2 Dates: 28 Feb 22 - 29 May 22Results: 5 Jul 22Last self enrolment: 13 Mar 22Census: 31 Mar 22Last withdraw without fail: 15 Apr 22 Dates: 1 Aug 22 - 30 Oct 22Results: 6 Dec 22Last self enrolment: 14 Aug 22Census: 31 Aug 22Last withdraw without fail: 16 Sep 22

### Prerequisites

Assumed Knowledge
VCE Mathematical Methods or Equivalent

### Aims and objectives

Offered from 2017

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).

### Courses with unit

Bachelor of Engineering (Honours) [Discontinued]