1. Handbook
  2. Graduate Diploma in Science (Advanced)
  3. Informal Specialisation
  4. Mathematics and Statistics
  5. Structure

Mathematics and Statistics // Structure

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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 latter-year, 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.

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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

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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 start-year and a mid-year intake.

Links

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

Last updated: 18 December 2020