Master of Science (Mathematics and Statistics) (MC-SCIMAT) // Course structure
About this course
Coordinator
Diarmuid Crowley
Contact
Currently enrolled students:
- General information: https://ask.unimelb.edu.au
- Contact Stop 1
Future students:
- Further information: http://science.unimelb.edu.au/
Course structure
Students must complete a total of 200 pts comprising:
- Discipline subjects (137.5 points);
- Professional Skills Subject (12.5 points);
- Research Project Component (50 points or in special cases, with approval of the MSc program coordinator, 25 points with an additional 25 points of Masters level Mathematics and Statistics discipline subjects).
Subject options
Students must select a specialisation from one of the following:
- Applied Mathematics and Mathematical Physics
- Discrete Mathematics and Operations Research
- Pure Mathematics
- Statistics and Stochastic Processes
Subjects to be taken from the student's specialisation
Applied Mathematics and Mathematical Physics Specialisation
Students must take two compulsory specialisation subjects:
| 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 2020 | 12.5 |
Students must select three elective specialisation subjects:
| Code | Name | Study period | Credit Points |
|---|---|---|---|
| MAST90103 | Random Matrix Theory | Semester 1 (On Campus - Parkville) |
12.5 |
| MAST90026 | Computational Differential Equations | Semester 1 (On Campus - Parkville) |
12.5 |
| MAST90011 | Mathematical Biology | Semester 2 (On Campus - Parkville) |
12.5 |
| MAST90069 | Introduction to String Theory | Semester 2 (On Campus - Parkville) |
12.5 |
| MAST90060 | Mathematical Statistical Mechanics | Not available in 2020 | 12.5 |
| MAST90065 | Exactly Solvable Models | Not available in 2020 | 12.5 |
| MAST90113 | Continuum Mechanics | Not available in 2020 | 12.5 |
| MAST90132 | Lie Algebras | Not available in 2020 | 12.5 |
| Code | Name | Study period | Credit Points |
|---|---|---|---|
| MAST90129 | Infectious Disease Dynamics | Not available in 2020 | 12.5 |
Discrete Mathematics and Operations Research Specialisation
Students must take two compulsory specialisation subjects:
| Code | Name | Study period | Credit Points |
|---|---|---|---|
| MAST90030 | Advanced Discrete Mathematics | Semester 2 (On Campus - Parkville) |
12.5 |
| MAST90014 | Optimisation for Industry | Semester 1 (On Campus - Parkville) |
12.5 |
Students must select three elective specialisation subjects:
| Code | Name | Study period | Credit Points |
|---|---|---|---|
| MAST90098 | Approximation Algorithms and Heuristics | Semester 2 (On Campus - Parkville) |
12.5 |
| MAST90050 | Scheduling and Optimisation | Not available in 2020 | 12.5 |
| MAST90013 | Network Optimisation | Not available in 2020 | 12.5 |
| MAST90031 | Enumerative Combinatorics | Not available in 2020 | 12.5 |
| MAST90053 | Experimental Mathematics | Semester 1 (On Campus - Parkville) |
12.5 |
| Code | Name | Study period | Credit Points |
|---|---|---|---|
| MAST90137 | No longer available |
Pure Mathematics Specialisation
Students must take two compulsory specialisation subjects:
| Code | Name | Study period | Credit Points |
|---|---|---|---|
| MAST90012 | Measure Theory | Not available in 2020 | 12.5 |
| MAST90023 | Algebraic Topology | Semester 1 (On Campus - Parkville) |
12.5 |
Students must select three elective specialisation subjects:
| Code | Name | Study period | Credit Points |
|---|---|---|---|
| MAST90097 | Algebraic Geometry | Semester 2 (On Campus - Parkville) |
12.5 |
| MAST90025 | Commutative and Multilinear Algebra | Not available in 2020 | 12.5 |
| MAST90068 | Groups, Categories & Homological Algebra | Semester 2 (On Campus - Parkville) |
12.5 |
| MAST90020 | Functional Analysis | Semester 1 (On Campus - Parkville) |
12.5 |
| MAST90017 | Representation Theory | Not available in 2020 | 12.5 |
| MAST90029 | Differential Topology and Geometry | Not available in 2020 | 12.5 |
| MAST90056 | Riemann Surfaces and Complex Analysis | Not available in 2020 | 12.5 |
| MAST90124 | Advanced Topics in Geometry and Topology | Semester 2 (On Campus - Parkville) |
12.5 |
| MAST90132 | Lie Algebras | Not available in 2020 | 12.5 |
| MAST90133 | Partial Differential Equations | Not available in 2020 | 12.5 |
| Code | Name | Study period | Credit Points |
|---|---|---|---|
| MAST90136 | Algebraic Number Theory | Semester 1 (On Campus - Parkville) |
12.5 |
Statistics and Stochastic Processes Specialisation
Students must take two compulsory specialisation subjects:
| Code | Name | Study period | Credit Points |
|---|---|---|---|
| MAST90082 | Mathematical Statistics | Semester 1 (On Campus - Parkville) |
12.5 |
| MAST90019 | Random Processes | Semester 2 (On Campus - Parkville) |
12.5 |
Students must select three elective specialisation subjects:
| Code | Name | Study period | Credit Points |
|---|---|---|---|
| MAST90059 | Stochastic Calculus with Applications | Not available in 2020 | 12.5 |
| MAST90085 | Multivariate Statistical Techniques | Not available in 2020 | 12.5 |
| MAST90083 | Computational Statistics & Data Science | Semester 2 (On Campus - Parkville) |
12.5 |
| MAST90081 | Advanced Probability | Semester 1 (On Campus - Parkville) |
12.5 |
| MAST90084 | Statistical Modelling | 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 |
| MAST90110 | Analysis of High-Dimensional Data | Not available in 2020 | 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 |
| MAST90123 | Advanced Mathematical Statistics | No longer available | |
| MAST90125 | Bayesian Statistical Learning | Semester 2 (On Campus - Parkville) |
12.5 |
| Code | Name | Study period | Credit Points |
|---|---|---|---|
| MAST90138 | Multivariate Statistics for Data Science | Semester 2 (On Campus - Parkville) |
12.5 |
Further Discipline subjects
Students must also select:
- Two subjects (25 points) from a single specialisation different to their selected specialisation; and
- Four subjects (50 points) from any of the specialisations (including up to two approved Masters level subjects from other departments).
Further Discipline subjects
Students may select up to two of the below listed subjects to make up the required 50 points of Further Discipline subjects in their MC-SCIMAT Master of Science (Mathematics and Statistics).
Physics
| Code | Name | Study period | Credit Points |
|---|---|---|---|
| PHYC90007 | Quantum Mechanics | Semester 1 (On Campus - Parkville) |
12.5 |
| PHYC90008 | Quantum Field Theory | Semester 1 (On Campus - Parkville) |
12.5 |
| PHYC90012 | General Relativity | Semester 2 (On Campus - Parkville) |
12.5 |
| PHYC90010 | Statistical Mechanics | Semester 1 (On Campus - Parkville) |
12.5 |
| PHYC90009 | Physical Cosmology | Semester 1 (On Campus - Parkville) |
12.5 |
| PHYC90011 | Particle Physics | Semester 2 (On Campus - Parkville) |
12.5 |
Computer Science
| Code | Name | Study period | Credit Points |
|---|---|---|---|
| COMP90038 | Algorithms and Complexity |
Semester 1 (On Campus - Parkville)
Semester 2 (On Campus - Parkville)
|
12.5 |
| COMP90048 | Declarative Programming | Semester 1 (On Campus - Parkville) |
12.5 |
| COMP90043 | Cryptography and Security | Semester 2 (On Campus - Parkville) |
12.5 |
| COMP90051 | Statistical Machine Learning |
Semester 1 (On Campus - Parkville)
Semester 2 (On Campus - Parkville)
|
12.5 |
| COMP90046 | Constraint Programming | Not available in 2020 | 12.5 |
Bioinformatics
| Code | Name | Study period | Credit Points |
|---|---|---|---|
| BINF90002 | Elements of Bioinformatics | Semester 1 (On Campus - Parkville) |
12.5 |
| BINF90001 | Statistics for Bioinformatics | Semester 1 (On Campus - Parkville) |
12.5 |
Further discipline subjects may also include masters level subjects on topics related to the student’ research project, provided they are approved by the student’s supervisor and the program coordinator. The total number of further discipline subjects offered by other schools in the student’s coursework cannot exceed two.
Up to two of these subjects can be replaced with approved undergraduate subjects. Where it is necessary for the student to acquire the required knowledge for Masters level Mathematics & Statistics discipline subjects, up to two further Masters level subjects can be replaced with approved undergraduate subjects.
Professional Skills
1. Students must choose one of the following:
| Code | Name | Study period | Credit Points |
|---|---|---|---|
| MAST90045 | Systems Modelling and Simulation | Semester 1 (On Campus - Parkville) |
12.5 |
| COMP90072 | The Art of Scientific Computation |
Semester 1 (On Campus - Parkville)
Semester 2 (On Campus - Parkville)
|
12.5 |
2. Students who have already received credit for one of (MAST30028, COMP10001, COMP10002, COMP20005, INFO10001) must choose one of the above subjects, or one of the following:
| Code | Name | Study period | Credit Points |
|---|---|---|---|
| SCIE90012 | Science Communication | Semester 2 (On Campus - Parkville) |
12.5 |
| SCIE90013 | Communication for Research Scientists |
Semester 1 (On Campus - Parkville)
Winter Term (On Campus - Parkville)
Semester 2 (On Campus - Parkville)
|
12.5 |
Research Project - 50 points
A typical course structure for full time students
Full time students are advised to structure their enrolments as follows:
- Semester 1 -- 50.0 points of coursework and no research project.
- Semester 2 -- 37.5 points of coursework and Research Project Part 1 (12.5 points).
- Semester 3 -- 37.5 points of coursework and Research Project Part 2 (12.5 points).
- Semester 4 -- 25.0 points of coursework and Research Project Part 3 (25 points).
Other structures that are suitable for part time study, or for students who enroll with credit from earlier degrees, can be negotiated with the student's supervisor and the departmental MSc program coordinator.
Research Project Component
The first semester of study is meant for coursework only. During the first semester, students should finalize their choice of research project supervisor and research topic.
The research project should be conducted in three consecutive semesters. Typically, work on the project, including associated thesis and presentation, starts at the beginning of the second semester of study and is conducted in 60 of the next 66 weeks. An indicative total time commitment of 800 hours for the duration of the project is expected.
The assessment requirements below are applicable to the entire 50 point Research Project.
- A preliminary literature survey and research plan (of 2 pages) is due at the end of week eight of Research Project Part 1 (hurdle; pass/fail ).
- An intermediate report on the progress in the research project (of 2 pages) is due at the end of week eight of Research Project Part 2 (hurdle; pass/fail).
- A thesis (90% of assessment) is the main requirement due after the full 50 points of enrolment in the research project component, Theses are expected to be 40-60 pages in length, excluding references, appendices, figures and tables. Two bound hard copies of the thesis are to be submitted two weeks prior to the end of the teaching period in the final semester of Research project enrolment;
- students will have to give 30 minute presentations (10% of assessment) on their research projects in the last week of that teaching period, on a date to be announced by the Department of Mathematics and Statistics at the beginning of semester.
Leave of absence during enrolment in a research project and outside of university holidays requires the approval of the student’s supervisor.
Under special circumstances, with the permission of the program coordinator, students may be allowed to complete two 25 point research projects in lieu of a single 50 point project.
| Code | Name | Study period | Credit Points |
|---|---|---|---|
| MAST90116 | Research Project Part 1 |
Semester 1 (Extended) (On Campus - Parkville)
Semester 2 (Extended) (On Campus - Parkville)
|
12.5 |
| MAST90119 | Research Project Part 1 |
Semester 1 (Extended) (On Campus - Parkville)
Semester 2 (Extended) (On Campus - Parkville)
|
25 |
| MAST90117 | Research Project Part 2 |
Semester 1 (Extended) (On Campus - Parkville)
Semester 2 (Extended) (On Campus - Parkville)
|
12.5 |
| MAST90120 | Research Project Part 2 |
Semester 1 (Extended) (On Campus - Parkville)
Semester 2 (Extended) (On Campus - Parkville)
|
25 |
| MAST90118 | Research Project Part 3 |
Semester 1 (Early-Start) (On Campus - Parkville)
Semester 2 (Early-Start) (On Campus - Parkville)
|
25 |
| MAST90121 | Research Project Part 3 |
Semester 1 (Early-Start) (On Campus - Parkville)
Semester 2 (Early-Start) (On Campus - Parkville)
|
12.5 |
Research Project - 25 points
A typical course structure for full time students
This option is only available to students in special cases, and only with approval of the MSc program coordinator. Full time students for whom that option is approved are advised to structure their enrolments as follows:
- Semester 1 -- 50.0 points of coursework and no research project.
- Semester 2 -- 50.0 points of coursework and no research project.
- Semester 3 -- 37.5 points of coursework and Minor Research Project Part 1 (12.5 points).
- Semester 4 -- 37.5 points of coursework and Minor Research Project Part 2 (12.5 points).
Other structures that are suitable for part time study, or for students who enroll with credit from earlier degrees, can be negotiated with the student’s supervisor and the departmental MSc program coordinator.
Research Project Component
The research project starts at the beginning of the third semester of study. Typically, work on the project, including associated thesis and presentation, should be conducted in 40 of the next 44 weeks.
An indicative total time commitment of 400 hours for the duration of the project is expected.
Leave of absence during enrolment in a research project and outside of university holidays requires the approval of the student’s supervisor.
Two bound hardcopies of the research thesis are to be submitted two weeks prior to the end of the teaching period in the final semester of research project enrolment, being the forth semester of study. The students will have to give presentations on their research projects in the last week of that teaching period, on a date to be announced by the Department of Mathematics and Statistics at the beginning of that semester.
| Code | Name | Study period | Credit Points |
|---|---|---|---|
| MAST90114 | Minor Research Project Part 1 |
Semester 1 (Extended) (On Campus - Parkville)
Semester 2 (Extended) (On Campus - Parkville)
|
12.5 |
| MAST90115 | Minor Research Project Part 2 |
Semester 1 (Early-Start) (On Campus - Parkville)
Semester 2 (Early-Start) (On Campus - Parkville)
|
12.5 |
Students completing this option will be required to select a further 25 points of coursework subjects from the relevant specialisation.
Last updated: 18 December 2020