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 Handbook
 Graduate Diploma in Science (Advanced)
 Informal Specialisation
 Mathematics and Statistics
Mathematics and Statistics
Graduate Diploma in Science (Advanced)Informal specialisationYear: 2019
Mathematics and Statistics
Overview
Entry Requirements: Prior studies in Mathematics and Statistics including at least two first year and three second or higher level subjects, with at least an H3 (65%) mark for each of the two best second or higher level subjects. If students have completed accelerated subjects then one fewer subject can be deemed appropriate.
Intended learning outcomes
The objectives of this diploma are to:
 further the understanding of Mathematics and Statistics across a wide range of theoretical and practical topics;
 encourage the development of abilities to think critically and independently;
 provide a pathway for entry into graduate study in Mathematics and Statistics for students whose main undergraduate field of study was not Mathematics and/or Statistics.
Last updated: 18 December 2020
Structure
The Mathematics and Statistics program consists of eight Coursework subjects only (100 points).
Subjects are chosen from three sources.
1. Advanced Discipline Subjects available to students enrolled into Master of Science (Mathematics and Statistics). The advanced discipline subjects are clustered into four areas:
 Applied Mathematics & Mathematical Physics
 Discrete Mathematics and Operations Research Specialisation
 Pure Mathematics
 Statistics & Stochastic Processes.
2. Students may choose MAST90045 Systems Modelling and Simulation.
3. Students may select up to four subjects from latteryear, normally third year, undergraduate Mathematics and Statistics subjects subject to Departmental Program Coordinator approval.
Subject Options
Subject prerequisites: For stream specific requirements please click here.
Coursework
It is recommended that students take at least three subjects from a single specialisation.

Applied Mathematics and Mathematical Physics Specialisation
Code  Name  Study period  Credit Points 

MAST90066  
MAST90067  Advanced Methods: Transforms  Not available in 2019  12.5 
MAST90069  Introduction to String Theory  Not available in 2019  12.5 
MAST90060  Mathematical Statistical Mechanics  Semester 1 (On Campus  Parkville) 
12.5 
MAST90064  Advanced Methods: Differential Equations  Semester 1 (On Campus  Parkville) 
12.5 
MAST90065  Exactly Solvable Models  Semester 2 (On Campus  Parkville) 
12.5 
MAST90011  Mathematical Biology  Not available in 2019  12.5 
MAST90026  Computational Differential Equations  Not available in 2019  12.5 
Discrete Mathematics and Operations Research Specialisation
Code  Name  Study period  Credit Points 

MAST90014  Optimisation for Industry  Semester 1 (On Campus  Parkville) 
12.5 
MAST90030  Advanced Discrete Mathematics  Semester 2 (On Campus  Parkville) 
12.5 
MAST90050  Scheduling and Optimisation  Semester 2 (On Campus  Parkville) 
12.5 
MAST90013  Network Optimisation  Semester 2 (On Campus  Parkville) 
12.5 
MAST90031  Enumerative Combinatorics  Semester 1 (On Campus  Parkville) 
12.5 
MAST90053  Experimental Mathematics  Not available in 2019  12.5 
Pure Mathematics Specialisation
Code  Name  Study period  Credit Points 

MAST90012  Measure Theory  Semester 1 (On Campus  Parkville) 
12.5 
MAST90017  Representation Theory  Semester 2 (On Campus  Parkville) 
12.5 
MAST90029  Differential Topology and Geometry  Semester 1 (On Campus  Parkville) 
12.5 
MAST90056  Riemann Surfaces and Complex Analysis  Semester 2 (On Campus  Parkville) 
12.5 
MAST90020  Functional Analysis  Not available in 2019  12.5 
MAST90023  Algebraic Topology  Not available in 2019  12.5 
MAST90025  Commutative and Multilinear Algebra  Not available in 2019  12.5 
MAST90068  Groups, Categories & Homological Algebra  Not available in 2019  12.5 
Statistics and Stochastic Processes Specialisation
Code  Name  Study period  Credit Points 

MAST90019  Random Processes  Semester 2 (On Campus  Parkville) 
12.5 
MAST90082  Mathematical Statistics  Semester 1 (On Campus  Parkville) 
12.5 
MAST90051  Mathematics of Risk  Not available in 2019  12.5 
MAST90059  Stochastic Calculus with Applications  Semester 1 (On Campus  Parkville) 
12.5 
MAST90080  Advanced Modelling: Case Studies  No longer available  
MAST90083  Computational Statistics & Data Science  Semester 2 (On Campus  Parkville) 
12.5 
MAST90085  Multivariate Statistical Techniques  Semester 2 (On Campus  Parkville) 
12.5 
MAST90027  Practice of Statistics & Data Science  Not available in 2019  12.5 
MAST90081  Advanced Probability  Semester 1 (On Campus  Parkville) 
12.5 
MAST90084  Statistical Modelling  Semester 1 (On Campus  Parkville) 
12.5 

Students may also choose the following:
Code  Name  Study period  Credit Points 

MAST90045  Systems Modelling and Simulation  Semester 1 (On Campus  Parkville) 
12.5 
Notes
This program has a startyear and a midyear intake.
Links
http://graduate.science.unimelb.edu.au
Last updated: 18 December 2020