# Courses

We run a large number of courses that can be taken individually or packaged into streams, majors, minors or specialisations.

Our full list of courses is below, and there are also packages of courses available for students with particular interests or needs:

Planning a course program can be challenging. It is important that students enroll in the courses most appropriate to their overall goals and abilities, as well as completing their required mathematics prerequisites.

It is strongly recommended that students contact us for advice when planning their course program.

## Bachelor

### Year 1

#### Semester 1

- MATH1003 - Algebra & Calculus Methods
- MATH1005 - Discrete Mathematical Models
- MATH1013 - Mathematics & Applications 1
- MATH1014 - Mathematics & Applications 2
- MATH1042 - Philosophy of the Cosmos
- MATH1115 - Advanced Mathematics & Applications 1

#### Semester 2

- MATH1013 - Mathematics & Applications 1
- MATH1014 - Mathematics & Applications 2
- MATH1113 - Mathematical Foundations for Actuarial Studies
- MATH1116 - Advanced Mathematics & Applications 2

### Year 2

#### Semester 1

- MATH2222 - Introduction to Mathematical Thinking: Problem Solving and Proofs
- MATH2305 - Applied Mathematics 1
- MATH2320 - Advanced Analysis 1: Metric Spaces & Applications

#### Semester 2

- MATH2242 - Introduction to Geometry: Curves and Surfaces
- MATH2301 - Games, Graphs & Machines
- MATH2306 - Applied Mathematics II
- MATH2307 - Bioinformatics & Biological Modelling
- MATH2322 - Advanced Algebra 1: Groups, Rings & Advanced Linear Algebra

### Year 3

#### Semester 1

- MATH3029 - Probability Theory with Applications
- MATH3062 - Fractal Geometry & Chaotic Dynamics
- MATH3320 - Analysis 2: Topology, Lebesgue Integration & Hilbert Spaces
- MATH3342 - Differential Geometry
- MATH3345 - Advanced Algebra 2: Field extensions and Galois Theory
- MATH3349 - Special Topics in Mathematics
- MATH3353 - Topics in Bioinformatics
- MATH3511 - Scientific Computing

#### Semester 2

- MATH3015 - Mathematics of Finance
- MATH3104 - Advanced Applied Algebra 1: Groups, Rings & Advanced Linear Algebra
- MATH3133 - Environmental Mathematics
- MATH3228 - Advanced Complex Analysis
- MATH3301 - Number Theory & Cryptography
- MATH3325 - Functional Analysis, Spectral Theory & Applications
- MATH3349 - Special Topics in Mathematics
- MATH3354 - Advanced Topics in Algebra: Algebraic Curves
- MATH3501 - Scientific & Industrial Modelling
- MATH3512 - Matrix Computations (run in odd years i.e. 2015, 2017, 2019 etc)
- MATH3514 - Numerical Optimisation (run in even years i.e. 2014, 2016, 2018 etc.)
- MATH3351 - Special Topics in Mathematical Physics: Lie Algebras, Representation Theory and Applications (Peter Bouwknegt)

### Honours

Honours courses are available to 2^{nd} and 3^{rd} year undergraduate students. Please view the list of courses under the Honours tab and check the course page for requisite information or contact the course convener to discuss enrolment options.

### Special Topics

Topics classes vary each semester. There will be a meeting to announce the semester's special topics held at 10:00am on the first Monday of the semester.

This meeting will take place in person on Monday, July 24th, 2023, at 10:00 a.m. in Seminar Room 1.33 of Hanna Neumann Building 145.

For a list of this semester's topics and to access the meeting timing and details for the Special Topics meeting, please click here.

A list of past topics may be found here.

### Note for Engineering and Actuarial students

Mathematics & its Applications 1 & 2 form part of the Engineering program. Mathematical Foundations for Statistics forms part of the Actuarial program. Those who have the appropriate background in mathematics are encouraged to enroll in Mathematics & Applications 1 & 2 (Honours).

## Honours

### Semester 1

- MATH4201 - Topics in Computational Maths Honours
- MATH4343 - Foundations of Mathematics
- MATH4349 - Special Topics in Mathematics
- MATH6109 - Probability Theory with Applications
- MATH6116 - Fractal Geometry & Chaotic Dynamics
- MATH6205 - Differential Geometry
- MATH6212 - Analysis 2: Topology, Lebesgue Integration & Hilbert Spaces
- MATH6215 - Algebra 2: Field Extensions & Galois Theory

### Semester 2

- MATH4202 - Theory of Partial Differential Equations (Honours)
- MATH4204 - Algebraic Topology (Honours)
- MATH4349 - Special Topics in Mathematics
- MATH6102 - Environmental Modelling & Integrated Assessment
- MATH6103 - Scientific & Industrial Modelling
- MATH6112 - Matrix Computations (run in odd years i.e. 2015, 2017, 2019 etc)
- MATH6114 - Number Theory & Cryptography
- MATH6115 - Mathematical Finance
- MATH6119 - Numerical Optimisation (run in even years i.e. 2014, 2016, 2018 etc.)
- MATH6211 - Topics in Mathematical Physics: Lie Algebras, Representation Theory, and Applications (Peter Bouwknegt)
- MATH6213 - Complex Analysis
- MATH6214 - Advanced Functional Analysis, Spectral Theory & Applications
- MATH6216 - Advanced Topics in Algebra: Algebraic Curves

### Special Topics

Topics classes vary each semester. There will be a meeting to announce the semester's special topics held at 10:00am on the first Monday of the semester.

This meeting will take place in person on Monday, July 24th, 2023, at 10:00 a.m. in Seminar Room 1.33 of Hanna Neumann Building 145.

For a list of this semester's topics please click here

A list of past topics may be found here.

*Special topic courses are offered subject to staff availability and student demand. They are generally advanced fourth year courses with third year courses as prerequisites.*

## Masters

### Semester 1

- MATH6109 - Probability Theory with Applications
- MATH6110 - Analysis 1: Metric Spaces & Applications
- MATH6111 - Scientific Computing
- MATH6116 - Fractal Geometry & Chaotic Dynamics
- MATH8343 - Foundations of Mathematics
- MATH6205 - Differential Geometry
- MATH6209 - Special Topics in Mathematics
- MATH6212 - Analysis 2: Topology, Lebesgue Integration & Hilbert Spaces
- MATH6215 - Algebra 2: Field Extensions & Galois Theory
- MATH6222 - Introduction to Mathematical Thinking: Problem Solving and Proofs
- MATH6405 - Ordinary Differential Equations and Advanced Vector Calculus
- MATH8702 - Mathematics Reading Course

### Semester 2

- MATH6100 - Bioinformatics & Biological Modelling
- MATH6102 - Environmental Modelling & Integrated Assessment
- MATH6103 - Scientific & Industrial Modelling
- MATH6112 - Matrix Computations (run in odd years i.e. 2015, 2017, 2019 etc)
- MATH6114 - Number Theory & Cryptography
- MATH6115 - Mathematical Finance
- MATH6118 - Algebra 1: Groups, Rings & Advanced Linear Algebra
- MATH6119 - Numerical Optimisation (run in even years i.e. 2014, 2016, 2018 etc.)
- MATH6204 - Algebraic Topology
- MATH6209 - Special Topics in Mathematics
- MATH6211 - Special Topics in Mathematical Physics: Lie Algebras and Representation Theory, and Applications (Peter Bouwknegt)
- MATH6213 - Complex Analysis
- MATH6214 - Advanced Functional Analysis, Spectral Theory & Applications
- MATH6216 - Advanced Topics in Algebra: Algebraic Curves
- MATH6406 - Partial Differential Equations, Fourier Analysis and Complex Analysis
- MATH8702 - Mathematics Reading Course

### Special Topics

Topics classes vary each semester. There will be a meeting to announce the semester's special topics held at 10:00am on the first Monday of the semester.

This meeting will take place in person on Monday, July 24th, 2023, at 10:00 a.m. in Seminar Room 1.33 of Hanna Neumann Building 145.

For a list of this semester's topics please click here

A list of past topics may be found here.