Mathematics and Statistics (GDA-SCI_INFSPC_6) — The University of Melbourne Handbook

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Overview

This Graduate Diploma (Advanced) specialisation in Mathematics and Statistics offers the opportunity to build on an undergraduate degree and acquire deeper knowledge in a wide range of theoretical and applied topics in Mathematics and Statistics, and provide a pathway into graduate study in Mathematics and Statistics. This specialisation consists of 100 pts of advanced coursework subjects.

Intended learning outcomes

On completion of the Mathematics and Statistics specialisation, Graduates should be able to:

Employ the methods of Mathematics and Statistics across a wide range of theoretical and practical topics;
Demonstrate the ability to think critically and independently;
Apply key knowledge and skills necessary to pursue further graduate studies in Mathematics and Statistics;
Articulate and illustrate acquired knowledge to communicate discipline specific scientific arguments;

Last updated: 20 December 2024

Structure

100 credit points

Completion of 100 credit points

The Mathematics and Statistics specialisation requires students to complete eight coursework subjects (100 points - coursework only).

Students are required to complete a minimum of 50 points (four subjects) of discipline subjects, including at least one compulsory specialisation subject.

Students must select a specialisation from one of the following five areas:

Applied Mathematics and Mathematical Biology;
Mathematical Physics and Physical Combinatorics;
Operations Research and Industrial Optimisation;
Pure Mathematics;
Statistics and Stochastic Processes.

*It is recommended that students take at least three subjects from a single specialisation area.

Students may also select:

Up to four further discipline subjects, including MAST90045 - Systems Modelling and Simulation, MAST90053 - Experimental Mathematics and MAST90079 - AMSI Summer School.
Up to four level 3 Undergraduate subjects from the school of Mathematics and Statistics with Departmental Program Coordinator approval. One of these subjects can be replaced with an approved level 2 undergraduate subject. Where it is necessary for a student to acquire the required knowledge for a level 3 subject, up to one further level 3 subject can be replaced by an approved level 2 subject.

Subject Options

Discipline subject options:

Applied Mathematics and Mathematical Biology Specialisation

Students must complete at least one compulsory specialisation subject:

Code	Name	Study period	Credit Points
MAST90067	Advanced Methods: Transforms	Semester 1 (On Campus - Parkville)	12.5
MAST90064	Advanced Methods: Differential Equations	Not available in 2024	12.5

Students may also select specialisation subjects from:

Code	Name	Study period	Credit Points
MAST90011	Mathematical Biology	Semester 2 (On Campus - Parkville)	12.5
MAST90026	Computational Differential Equations	Semester 1 (On Campus - Parkville)	12.5
MAST90060	Mathematical Statistical Mechanics	Not available in 2024	12.5
MAST90103	Random Matrix Theory	Semester 1 (On Campus - Parkville)	12.5
MAST90113	Continuum Mechanics	Not available in 2024	12.5
MAST90125	Bayesian Statistical Learning	Semester 2 (On Campus - Parkville)	12.5
MAST90127	Advanced Biological Modelling: Dynamics	Semester 1 (On Campus - Parkville)	12.5
MAST90129	Infectious Disease Dynamics	Not available in 2024	12.5

Mathematical Physics and Physical Combinatorics specialisation

Students must complete at least one compulsory specialisation subject:

Code	Name	Study period	Credit Points
MAST90030	Advanced Discrete Mathematics	Not available in 2024	12.5
MAST90060	Mathematical Statistical Mechanics	Not available in 2024	12.5
MAST90067	Advanced Methods: Transforms	Semester 1 (On Campus - Parkville)	12.5

Students may also select specialisation subjects from:

Code	Name	Study period	Credit Points
MAST90031	Enumerative Combinatorics	Semester 2 (On Campus - Parkville)	12.5
MAST90064	Advanced Methods: Differential Equations	Not available in 2024	12.5
MAST90065	Exactly Solvable Models	Not available in 2024	12.5
MAST90069	Introduction to String Theory	Semester 2 (On Campus - Parkville)	12.5
MAST90103	Random Matrix Theory	Semester 1 (On Campus - Parkville)	12.5
MAST90132	Lie Algebras	Not available in 2024	12.5

Operations Research and Industrial Optimisation specialisation

Students must complete at least one compulsory specialisation subject:

Code	Name	Study period	Credit Points
MAST90014	Optimisation for Industry	Semester 1 (On Campus - Parkville)	12.5
MAST90098	Approximation, Algorithms and Heuristics	Semester 2 (On Campus - Parkville)	12.5

Students may also select specialisation subjects from:

Code	Name	Study period	Credit Points
MAST90013	Network Optimisation	Semester 2 (On Campus - Parkville)	12.5
MAST90050	Scheduling and Optimisation	Not available in 2024	12.5
MAST90137	Mathematical Game Theory	Not available in 2024	12.5
MAST90142	Advanced Nonlinear Optimisation	Semester 1 (On Campus - Parkville)	12.5

Pure Mathematics Specialisation

Students must complete at least one compulsory specialisation subject:

Code	Name	Study period	Credit Points
MAST90023	Algebraic Topology	Semester 1 (On Campus - Parkville)	12.5
MAST90012	Measure Theory	Not available in 2024	12.5

Students may also select specialisation subjects from:

Code	Name	Study period	Credit Points
MAST90017	Representation Theory	Not available in 2024	12.5
MAST90020	Functional Analysis	Semester 1 (On Campus - Parkville)	12.5
MAST90029	Differential Topology	Not available in 2024	12.5
MAST90056	Riemann Surfaces and Complex Analysis	Not available in 2024	12.5
MAST90068	Groups, Categories & Homological Algebra	Semester 2 (On Campus - Parkville)	12.5
MAST90097	Algebraic Geometry	Semester 2 (On Campus - Parkville)	12.5
MAST90124	Advanced Topics in Geometry and Topology	Not available in 2024	12.5
MAST90132	Lie Algebras	Not available in 2024	12.5
MAST90133	Partial Differential Equations	Not available in 2024	12.5
MAST90136	Algebraic Number Theory	Semester 1 (On Campus - Parkville)	12.5
MAST90143	Differential Geometry	Semester 2 (On Campus - Parkville)	12.5

Statistics and Stochastic Processes Specialisation

Students must complete at least one compulsory specialisation subject:

Code	Name	Study period	Credit Points
MAST90081	Advanced Probability	Semester 2 (On Campus - Parkville)	12.5
MAST90082	Mathematical Statistics	Semester 1 (On Campus - Parkville)	12.5

Students may also select specialisation subjects from:

Code	Name	Study period	Credit Points
MAST90019	Random Processes	Semester 1 (On Campus - Parkville)	12.5
MAST90027	Practice of Statistics & Data Science	Semester 2 (On Campus - Parkville)	12.5
MAST90051	Mathematics of Risk	Semester 2 (On Campus - Parkville)	12.5
MAST90059	Stochastic Calculus with Applications	Not available in 2024	12.5
MAST90083	Computational Statistics & Data Science	Semester 2 (On Campus - Parkville)	12.5
MAST90084	Statistical Modelling	Semester 1 (On Campus - Parkville)	12.5
MAST90111	Advanced Statistical Modelling	Semester 2 (On Campus - Parkville)	12.5
MAST90112	Advanced Topics in Stochastic Models	Semester 1 (On Campus - Parkville)	12.5
MAST90122	Inference for Spatio-Temporal Processes	Semester 1 (On Campus - Parkville)	12.5
MAST90125	Bayesian Statistical Learning	Semester 2 (On Campus - Parkville)	12.5
MAST90138	Multivariate Statistics for Data Science	Semester 2 (On Campus - Parkville)	12.5

Further Discipline subjects

Students may select up to two of the following subjects to make up the required 100 points of discipline subjects:

Code	Name	Study period	Credit Points
MAST90045	Systems Modelling and Simulation	Not available in 2024	12.5
MAST90053	Experimental Mathematics	Not available in 2024	12.5
MAST90079	AMSI Summer School	Summer Term (On Campus - Parkville)	12.5

Notes

This program has a start-year and a mid-year intake.

Links

http://graduate.science.unimelb.edu.au

Last updated: 20 December 2024