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Discrete Mathematics / Operations Research

Graduate Diploma in ScienceInformal specialisationYear: 2024

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Overview

This specialisation of the Graduate Diploma allows students who have completed an undergraduate degree to refocus or expand their body of knowledge by completing the requirements of the Discrete Mathematics / Operations Research specialisation in the Mathematics and Statistics major of the Bachelor of Science. It provides a pathway into the Master of Science (Mathematics and Statistics).

Intended learning outcomes

Upon completion of this specialisation, students should be able to:

  • Construct detailed, logical, clearly presented and justified arguments;
  • Formulate and model practical and abstract problems in mathematics, including the use of information technology where appropriate;
  • Solve complex problems through the identification and application of appropriate mathematical tools;
  • Communicate advanced mathematical ideas to an audience with a heterogeneous background in sciences;
  • Utilise a broad range of mathematical methods, with a particular emphasis on discrete mathematics and operations research;
  • Investigate the universal utility of mathematics within all fields of science; and
  • Explain how mathematics is a discipline based on rigorous proofs and logical deduction.

Last updated: 21 March 2024

Structure

125 credit points

Completion of 125 points:

  • 50 points of study at Level 2 or above
  • 50 points of study at Level 3
  • 25 point of study at Level 9

Subject Options

Subject prerequisites: Details of stream specific requirements can be found at the Graduate Diploma in Science entry and participation requirements page.

Level 2

Students should select 50 points of level 2 options to meet the pre-requisites for their level 3 choices.

Students must take one of:

Code Name Study period Credit Points
MAST20018 Discrete Maths and Operations Research
Semester 2 (On Campus - Parkville)
 12.5

Plus one of:

Code Name Study period Credit Points
MAST20026 Real Analysis
Semester 1 (On Campus - Parkville)
Semester 2 (On Campus - Parkville)
 12.5
MAST20033 Real Analysis: Advanced
Semester 1 (On Campus - Parkville)
 12.5

Plus one of:

Code Name Study period Credit Points
MAST20004 Probability
Semester 1 (On Campus - Parkville)
Semester 2 (On Campus - Parkville)
 12.5
MAST20006 Probability for Statistics
Semester 1 (On Campus - Parkville)
 12.5

Plus: one level 2 MAST subject that will meet the pre-requisites for level 3 options.

Level 3

Students must select 50 points of level 3 subjects.

Students must take all three of:

Code Name Study period Credit Points
MAST30012 Discrete Mathematics
Semester 2 (On Campus - Parkville)
 12.5
MAST30013 Techniques in Operations Research
Semester 1 (On Campus - Parkville)
 12.5
MAST30021 Complex Analysis
Semester 1 (On Campus - Parkville)
Semester 2 (On Campus - Parkville)
 12.5

Plus: one of any other level 3 subject offered by the Department of Mathematics and Statistics.

Level 9

Plus: 25 points of level 9 subjects selected from listed discipline subjects in the Master of Science (Mathematics and Statistics) program.

Last updated: 21 March 2024