# Overview of units

## Mathematics and Statistics: variety and flexibility

The School of Mathematics and Statistics at the University of Sydney offers students a great variety of units at all levels, covering the full spectrum from the most abstract to the most applicable aspects of the subject. All Science students are required to study mathematics in their first year. A large number continue to enrol in mathematics and statistics units for the full duration of their degree, and some go on to do an Honours year and postgraduate study.

The University's flexible degree structure allows you to combine mathematics with other areas of interest, right through into your Senior year. Many courses are also offered at an advanced level, so you can choose a program that suits your level of ability and interest.

## Available units of study

Here is a list of the units currently offered. There are minor changes from year to year as courses are updated and replaced.

Junior Units | |||
---|---|---|---|

Differential Calculus | Differential and Difference Equations | ||

Discrete Mathematics | Calculus and Algebra for Life Sciences | ||

Linear Algebra | Integral Calculus and Modelling | ||

Introduction to Calculus | Statistics | ||

Intermediate Units | |||

Linear Algebra and Vector Calculus | Real and Complex Analysis | ||

Mathematical Computing and Nonlinear Systems | Partial Differential Equations | ||

Number Theory and Cryptography | Algebra | ||

Discrete Mathematics and Graph Theory | Optimisation and Financial Mathematics | ||

Senior Units | |||

Pure and Applied Mathematics | |||

Differential Equations & Biomathematics | Geometry & Topology | ||

Information Theory & Coding Theory | Complex Analysis | ||

Rings, Fields & Galois Theory | Differential Geometry | ||

Financial Mathematics | Fluid Dynamics | ||

Algebra & Number Theory | Logic & Foundations | ||

Lagrangian & Hamiltonian Dynamics | Metric Spaces | ||

Modules & Group Representations | Analysis | ||

Measure Theory & Fourier Analysis | Mathematical Computing | ||

Partial Differential Equations & Waves | |||

Statistics | |||

Stochastic Processes & Time Series | Applied Linear Models | ||

Statistical Inference | Applied Statistics |

## And more ...

In addition, the School offers Honours programs in Pure and Applied Mathematics and Statistics, and opportunities for postgraduate study and research. Further details of all our courses can be found on the School's Teaching pages.