1. Handbook
  2. Graduate Certificate in Science
  3. Informal Specialisation
  4. Pure Mathematics
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Pure Mathematics

Graduate Certificate in ScienceInformal specialisationYear: 2025

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Overview

This specialisation of the Graduate Certificate allows students who have completed an undergraduate degree to refocus or expand their body of knowledge by completing the requirements of the Pure Mathematics 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 pure mathematics;
  • Investigate the universal utility of mathematics within all fields of science;
  • Explain how mathematics is a discipline based on rigorous proofs and logical deduction.

Last updated: 7 November 2024

Structure

62.5 credit points

Completion of 62.5 points of study

  • 50 points of study at level 3
  • 12.5 points of study at level 9

Subject Options

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

Level 3

Students must select 50 points of level 3 subjects.

Students must take all three of:

Code Name Study period Credit Points
MAST30005 Algebra
Semester 1 (On Campus - Parkville)
 12.5
MAST30021 Complex Analysis
Semester 1 (On Campus - Parkville)
Semester 2 (On Campus - Parkville)
 12.5
MAST30026 Metric and Hilbert Spaces
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: 12.5 points of level 9 subjects selected from listed discipline subjects in the Master of Science (Mathematics and Statistics) program.

Last updated: 7 November 2024