Mathematics 3B

MTH20014 12.5 Credit Points Hawthorn Available to incoming Study Abroad and Exchange students

Duration

  • One Semester or Equivalent

Contact hours

  • 60

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

2022 teaching periods

Hawthorn

Higher Ed. Semester 1

Dates:
28 Feb 22 - 29 May 22

Results:
5 Jul 22

Last self enrolment:
13 Mar 22

Census:
31 Mar 22

Last withdraw without fail:
15 Apr 22

Prerequisites

and
 
OR
or
 
Anti-requisite 
and

Aims and objectives

 This unit will be offered from 2018 and will replace MTH20005, MTH20006 and MTH20007
 
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. Calculate the eigenvalues and eigenvectors of 2x2 and 3x3 matrices (K2, S1).
2. Interpret the quadratic form and find its canonical form (K2, S1).
3. Use the Cayley-Hamilton theorem to simplify matrix powers (K2, S1).
4. Apply Vector Calculus to analyse and model processes that arise in scientific and engineering applications (K2, S1).
5. Apply Green’s theorem, Ostrogradsky-Gauss’ divergence theorem and Stokes’ theorem (K2, S1).
6. Perform operations with complex numbers, understand and use the concepts of analyticity and function singularities in computing contour integrals (K2, S1).
 
 

Courses with unit

This unit must be taken for disciplines in:
 
Robotics & Mechatronics Engineering,
Telecommunications Engineering,
Electrical and Electronic Engineering,
Biomedical Engineering
Science
 
and
Mathematics majors/minors/co-majors