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Pure Mathematics
Graduate Diploma in ScienceInformal specialisationYear: 2024
Pure Mathematics
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 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: 2 May 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 prerequisites for their level 3 choices.
Students must take:
Code  Name  Study period  Credit Points 

MAST20022  Group Theory and Linear Algebra  Semester 2 (On Campus  Parkville) 
12.5 
Plus one of:
Code  Name  Study period  Credit Points 

MAST20009  Vector Calculus 
Semester 1 (On Campus  Parkville)
Semester 2 (On Campus  Parkville)

12.5 
MAST20032  Vector Calculus: Advanced  Semester 1 (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 level 2 MAST subject that will meet the prerequisites 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 

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: 25 points of level 9 subjects selected from listed discipline subjects in the Master of Science (Mathematics and Statistics) program.
Last updated: 2 May 2024