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Mathematics and Statistics
Graduate Diploma in Science (Advanced)Informal specialisationYear: 2022
Mathematics and Statistics
Contact information
Coordinator
Associate Professor Jennifer Flegg
Email: jennifer.flegg@unimelb.edu.au
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: 12 November 2022
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 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 (Dual-Delivery - Parkville) |
12.5 |
MAST90064 | Advanced Methods: Differential Equations | Not available in 2022 | 12.5 |
Students may also select specialisation subjects from:
Code | Name | Study period | Credit Points |
---|---|---|---|
MAST90011 | Mathematical Biology | Semester 2 (Dual-Delivery - Parkville) |
12.5 |
MAST90026 | Computational Differential Equations | Semester 1 (Dual-Delivery - Parkville) |
12.5 |
MAST90060 | Mathematical Statistical Mechanics | Not available in 2022 | 12.5 |
MAST90103 | Random Matrix Theory | Semester 1 (Dual-Delivery - Parkville) |
12.5 |
MAST90113 | Continuum Mechanics | Not available in 2022 | 12.5 |
MAST90125 | Bayesian Statistical Learning | Semester 2 (Dual-Delivery - Parkville) |
12.5 |
MAST90127 | Advanced Biological Modelling: Dynamics | Semester 1 (Dual-Delivery - Parkville) |
12.5 |
MAST90129 | Infectious Disease Dynamics | Not available in 2022 | 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 2022 | 12.5 |
MAST90060 | Mathematical Statistical Mechanics | Not available in 2022 | 12.5 |
MAST90067 | Advanced Methods: Transforms | Semester 1 (Dual-Delivery - Parkville) |
12.5 |
Students may also select specialisation subjects from:
Code | Name | Study period | Credit Points |
---|---|---|---|
MAST90031 | Enumerative Combinatorics | Semester 2 (Dual-Delivery - Parkville) |
12.5 |
MAST90064 | Advanced Methods: Differential Equations | Not available in 2022 | 12.5 |
MAST90065 | Exactly Solvable Models | Not available in 2022 | 12.5 |
MAST90069 | Introduction to String Theory | Semester 2 (Dual-Delivery - Parkville) |
12.5 |
MAST90103 | Random Matrix Theory | Semester 1 (Dual-Delivery - Parkville) |
12.5 |
MAST90132 | Lie Algebras | Not available in 2022 | 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 (Dual-Delivery - Parkville) |
12.5 |
MAST90098 | Approximation, Algorithms and Heuristics | Semester 2 (Dual-Delivery - Parkville) |
12.5 |
Students may also select specialisation subjects from:
Code | Name | Study period | Credit Points |
---|---|---|---|
MAST90013 | Network Optimisation | Semester 2 (Dual-Delivery - Parkville) |
12.5 |
MAST90050 | Scheduling and Optimisation | Not available in 2022 | 12.5 |
MAST90137 | Mathematical Game Theory | Not available in 2022 | 12.5 |
MAST90142 | Advanced Nonlinear Optimisation | Semester 1 (Dual-Delivery - 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 (Dual-Delivery - Parkville) |
12.5 |
MAST90012 | Measure Theory | Not available in 2022 | 12.5 |
Students may also select specialisation subjects from:
Code | Name | Study period | Credit Points |
---|---|---|---|
MAST90017 | Representation Theory | Not available in 2022 | 12.5 |
MAST90020 | Functional Analysis | Semester 1 (Dual-Delivery - Parkville) |
12.5 |
MAST90029 | Differential Topology and Geometry | Not available in 2022 | 12.5 |
MAST90056 | Riemann Surfaces and Complex Analysis | Not available in 2022 | 12.5 |
MAST90068 | Groups, Categories & Homological Algebra | Semester 2 (Dual-Delivery - Parkville) |
12.5 |
MAST90097 | Algebraic Geometry | Semester 2 (Dual-Delivery - Parkville) |
12.5 |
MAST90124 | Advanced Topics in Geometry and Topology | Not available in 2022 | 12.5 |
MAST90132 | Lie Algebras | Not available in 2022 | 12.5 |
MAST90133 | Partial Differential Equations | Not available in 2022 | 12.5 |
MAST90136 | Algebraic Number Theory | Semester 1 (Dual-Delivery - Parkville) |
12.5 |
MAST90143 | Differential Geometry | Semester 2 (Dual-Delivery - 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 (Dual-Delivery - Parkville) |
12.5 |
MAST90082 | Mathematical Statistics | Semester 1 (Dual-Delivery - Parkville) |
12.5 |
Students may also select specialisation subjects from:
Code | Name | Study period | Credit Points |
---|---|---|---|
MAST90019 | Random Processes | Semester 1 (Dual-Delivery - Parkville) |
12.5 |
MAST90027 | Practice of Statistics & Data Science | Semester 2 (Dual-Delivery - Parkville) |
12.5 |
MAST90051 | Mathematics of Risk | Semester 2 (Dual-Delivery - Parkville) |
12.5 |
MAST90059 | Stochastic Calculus with Applications | Not available in 2022 | 12.5 |
MAST90083 | Computational Statistics & Data Science | Semester 2 (Dual-Delivery - Parkville) |
12.5 |
MAST90084 | Statistical Modelling | Semester 1 (Dual-Delivery - Parkville) |
12.5 |
MAST90085 | Multivariate Statistical Techniques | Not available in 2022 | 12.5 |
MAST90110 | Analysis of High-Dimensional Data | Not available in 2022 | 12.5 |
MAST90111 | Advanced Statistical Modelling | Semester 2 (Dual-Delivery - Parkville) |
12.5 |
MAST90112 | Advanced Topics in Stochastic Models | Semester 1 (Dual-Delivery - Parkville) |
12.5 |
MAST90122 | Inference for Spatio-Temporal Processes | Semester 1 (Dual-Delivery - Parkville) |
12.5 |
MAST90125 | Bayesian Statistical Learning | Semester 2 (Dual-Delivery - Parkville) |
12.5 |
MAST90138 | Multivariate Statistics for Data Science | Semester 2 (Dual-Delivery - 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 | Semester 1 (Dual-Delivery - Parkville) |
12.5 |
MAST90079 | AMSI Summer School | Summer Term (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 2022