Mathematics and Statistics
Graduate Diploma in Science (Advanced)Informal specialisationYear: 2021
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: 12 November 2021
Structure
100 credit points
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: details of stream specific prerequisites can be found at the Graduate Diploma in Science (Advanced) (GDA-SCI) entry and participation requirements page.
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 | No longer available | ||
| MAST90067 | Advanced Methods: Transforms | Not available in 2021 | 12.5 |
| MAST90069 | Introduction to String Theory | Not available in 2021 | 12.5 |
| MAST90060 | Mathematical Statistical Mechanics | Semester 1 (Dual-Delivery - Parkville) |
12.5 |
| MAST90064 | Advanced Methods: Differential Equations | Semester 1 (Dual-Delivery - Parkville) |
12.5 |
| MAST90065 | Exactly Solvable Models | Semester 2 (Dual-Delivery - Parkville) |
12.5 |
| MAST90011 | Mathematical Biology | Not available in 2021 | 12.5 |
| MAST90026 | Computational Differential Equations | Not available in 2021 | 12.5 |
Discrete Mathematics and Operations Research Specialisation
| Code | Name | Study period | Credit Points |
|---|---|---|---|
| MAST90014 | Optimisation for Industry | Semester 1 (Dual-Delivery - Parkville) |
12.5 |
| MAST90030 | Advanced Discrete Mathematics | Semester 2 (Dual-Delivery - Parkville) |
12.5 |
| MAST90050 | Scheduling and Optimisation | Semester 2 (Dual-Delivery - Parkville) |
12.5 |
| MAST90013 | Network Optimisation | Not available in 2021 | 12.5 |
| MAST90031 | Enumerative Combinatorics | Semester 1 (Dual-Delivery - Parkville) |
12.5 |
| MAST90053 | Experimental Mathematics | Not available in 2021 | 12.5 |
Pure Mathematics Specialisation
| Code | Name | Study period | Credit Points |
|---|---|---|---|
| MAST90012 | Measure Theory | Semester 1 (Dual-Delivery - Parkville) |
12.5 |
| MAST90017 | Representation Theory | Semester 2 (Dual-Delivery - Parkville) |
12.5 |
| MAST90029 | Differential Topology and Geometry | Semester 1 (Dual-Delivery - Parkville) |
12.5 |
| MAST90056 | Riemann Surfaces and Complex Analysis | Semester 2 (Dual-Delivery - Parkville) |
12.5 |
| MAST90020 | Functional Analysis | Not available in 2021 | 12.5 |
| MAST90023 | Algebraic Topology | Not available in 2021 | 12.5 |
| MAST90025 | Commutative and Multilinear Algebra | Not available in 2021 | 12.5 |
| MAST90068 | Groups, Categories & Homological Algebra | Not available in 2021 | 12.5 |
Statistics and Stochastic Processes Specialisation
| Code | Name | Study period | Credit Points |
|---|---|---|---|
| MAST90019 | Random Processes | Semester 1 (Dual-Delivery - Parkville) |
12.5 |
| MAST90082 | Mathematical Statistics | Semester 1 (Dual-Delivery - Parkville) |
12.5 |
| MAST90051 | Mathematics of Risk | Not available in 2021 | 12.5 |
| MAST90059 | Stochastic Calculus with Applications | Semester 1 (Dual-Delivery - Parkville) |
12.5 |
| MAST90080 | Advanced Modelling: Case Studies | No longer available | |
| MAST90083 | Computational Statistics & Data Science | Semester 2 (Dual-Delivery - Parkville) |
12.5 |
| MAST90085 | Multivariate Statistical Techniques | Not available in 2021 | 12.5 |
| MAST90027 | Practice of Statistics & Data Science | Not available in 2021 | 12.5 |
| MAST90081 | Advanced Probability | Semester 2 (Dual-Delivery - Parkville) |
12.5 |
| MAST90084 | Statistical Modelling | Semester 1 (Dual-Delivery - Parkville) |
12.5 |
-
Students may also choose the following:
| Code | Name | Study period | Credit Points |
|---|---|---|---|
| MAST90045 | Systems Modelling and Simulation | Semester 1 (Dual-Delivery - Parkville) |
12.5 |
Notes
This program has a start-year and a mid-year intake.
Links
http://graduate.science.unimelb.edu.au
Last updated: 12 November 2021