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# Mathematics and Statistics

Graduate Diploma in Science (Advanced)Informal specialisationYear: 2024

Mathematics and Statistics

## Contact information

### Coordinator

Associate Professor James Osborne

Email: ms-msc-coordinator@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: 27 March 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: 27 March 2024