# Honours in the School of Mathematics and Statistics

## General Information

This page contains brief information on honours in the School of Mathematics and Statistics at the University of Sydney. Students may take honours in Applied Mathematics, Pure Mathematics or Mathematical Statistics. In all cases, assessment is by a combination of coursework (~60%) and a project (~40%). While the three divisions offer courses separately, the honours program is flexible and students are encouraged to consult their program coordinator if they are interested in taking a course from another division. Lists of the lecture courses offered by Applied Mathematics, Pure Mathematics and Mathematical Statistics appear below. More detailed information is available from the program coordinators and the various handbooks.

*Students should be aware of the University's plagiarism policy.
*

## Announcements

##### Master of Philosophy and Honours

As the new Master of Philosophy degree will be commencing in 2016, the Faculty of Science has developed a series of FAQs for students who would like to know more about the pathways to research and the differences between undertaking an Honours program compared to a Master of Philosophy. These FAQs are now available for download and are accessible to students via the following page on the Faculty website.

##### Applying for Honours

When applying for honours through the faculty of science web interface you will be asked to upload a "proof of contact" / "expression of interest" document. For this purpose, please download and fill the School's Expression of Interest form.

Please keep in mind the Faculty of Science honours application deadlines.

Potential students from other states should be aware of the Honours Relocation Scholarship. This scholarship valued at $6000 is to facilitate students from interstate enrolling in an Honours degree in the Faculty of Science at the University of Sydney by assisting to defray costs incurred in moving interstate in order to enrol in the Honours year. The student must have a minimum SCIWAM of 80 and with the current terms must be moving from outside of NSW ( terms and conditions of the scholarship).

## Program Coordinators

The following people are available to discuss the honours program.

person | office | phone | |
---|---|---|---|

Robert Marangell (applied) |
Carslaw 720 | 9351 5795 | am4coord@maths.usyd.edu.au |

Laurentiu Paunescu (pure) |
Carslaw 721 | 9351 2969 | pm4coord@maths.usyd.edu.au |

Uri Keich (statistics) |
Carslaw 821 | 9351 2307 | st4coord@maths.usyd.edu.au |

## Handbooks

The handbooks contain detailed information including assessment details, important dates, course outlines, an outline of the project requirement including a list of possible projects and supervisors. Students should ensure they have a copy of the relevant handbook.

You should start with a general overview of the Honours Program. Then, for more details, consult the handbooks for Honours in Applied Mathematics (2015, 2016), Pure Mathematics (2015, 2016), and Mathematical Statistics (2015, 2016).

## Resources

##### University of Sydney Honours Scholarships

These $6,000 Honours Scholarships are awarded annually on the basis of academic merit and personal attributes such as leadership and creativity.

##### Writing proficiency

The honours essay is also assessed based on the quality of the writing. This does not mean we look for the next Shakespeare however you should make sure you express your ideas in an organized manner using a clear and grammatically correct English. The university offers several resources that can help you achieve this goal. The Learning Centre offers workshops for students that need help with extended written work, and a trove of online resources for improving your writing skills is also available. Make sure you make use of these resources as early as possible as writing skills develop slowly over time and with much practice.

## Honours Lecture Courses

Following is a list of honours courses offered
by the divisions of Applied Mathematics, Pure Mathematics and Mathematical
Statistics.
Students in Mathematics may also take *advanced* third year units – see the
Senior Mathematics
page for a list of these. Consult your
program coordinator
if you are interested in taking a course from another division.

# Applied Mathematics

### First Semester

- [AMH2] Integrable Systems(Nalini Joshi and Milena Radnovic)
- [AMH4] Advanced Option Pricing(Ben Goldys)
- [AMH5] PDE Models in Mathematical Biology(Peter Kim)
- [AMH9] Geometric Singular Perturbation Theory(Martin Wechselberger)

### Second Semester

- [AMH1] Computational Projects in Applied Mathematics(Sheehan Olver)
- [AMH6] Advanced Topics in Fluid Dynamics(Geoff Vasil)
- [AMH7] Backwards Stochastic Differential Equations(Marek Rutkowski)

# Pure Mathematics

### First Semester

- [PMH1] Algebraic Topology(Ruibin Zhang)
- [PMH2] Commutative Algebra(Oded Yacobi)
- [PMH3] Functional Analysis(Leo Tzou)
- [PMH5] Representation Theory(Anthony Henderson)

### Second Semester

- [PMH6] Topology and Geometry of Three Dimensional Manifolds(Stephan Tillmann)
- [PMH7] Riemannian Geometry with Applications to Ricci Flow(Zhou Zhang)
- [PMH8] Spectral Theory and PDEs(Florica Cîrstea)

# Mathematical Statistics

### First Semester

- [MSH1] Advanced Bayesian Inference(John Ormerod)
- [MSH2] Probability Theory(Neville Weber)
- [MSH8] Fundamental of Statistical Consulting(Jennifer Chan and Jean Yang)

### Second Semester

- [MSH5] Advanced Time Series Analysis and Forecasting Methods(Shelton Peiris)
- [MSH6] Model Selection and Generalized Linear Models(Samuel Müller and Jennifer Chan)
- [MSH7] Introduction to Stochastic Calculus with Applications(Qiying Wang)

*Subject to the approval* of the relevant coordinator, honours students may take courses offered
by another division within the School of Mathematics and Statistics, or another School, or
even another university. Students are advised to check the courses offered in January
at the AMSI
Summer School and also courses available via
the Advanced Collaborative Environment (ACE).

More detailed information about courses and assessment can be obtained from the relevant handbook or program coordinator.