Overview

This unit aims to develop the ability to cast real life situations as mathematical problems and apply efficient analytical and computational methods to solve them.

Requisites

Prerequisites
MTH10013 Linear Algebra and Applications

AND EITHER
MTH10012 Calculus and Applications
OR
MTH10007 Engineering Mathematics 2 *

Teaching periods
Location
Start and end dates
Last self-enrolment date
Census date
Last withdraw without fail date
Results released date

Learning outcomes

Students who successfully complete this unit will be able to:

  • Classify mathematical programming problems as linear or nonlinear
  • Use graphical and analytical tools to solve linear programming problems
  • Classify mathematical programming problems as convex or nonconvex
  • Formulate real-life problems as mathematical programming problems (linear and convex problems
  • Use appropriate optimisation tools and software (Matlab and Excel) to solve mathematical programming problems
  • Solve binary, integer and mixed integer programming problems

Teaching methods

Hawthorn

Type Hours per week Number of weeks Total (number of hours)
On-campus
Lecture
2.00 12 weeks 24
On-campus
Class
1.00 12 weeks 12
On-campus
Class
1.00 12 weeks 12
Online
Learning activities
1.25 12 weeks 15
Unspecified Activities
Independent Learning
7.25 12 weeks 87
TOTAL150

Assessment

Type Task Weighting ULO's
ExaminationIndividual 50 - 60% 1,2,3,4,5,6 
Online AssignmentIndividual 20 - 30% 1,2,3,4,5,6 
TestIndividual 20 - 30% 1,2,3,4,5,6 

Hurdle

As the minimum requirements of assessment to pass a unit and meet all Unit Learning Outcomes to a minimum standard, a student must achieve:

(i) an aggregate mark of 50% or more, and
(ii) at least 40% in the final exam.

Students who do not successfully achieve hurdle requirement (ii) will receive a maximum of 45% as the total mark for the unit.
 

Content

  • Linear and convex functions
  • Linear Programming Problems and real-world applications
  • Integer and Mixed Integer Linear Programming Problems and real-world applications
  • Convex Programming problems and real-world applications

Study resources

Reading materials

A list of reading materials and/or required textbooks will be available in the Unit Outline on Canvas.