• Offered by Mathematical Sciences Institute
  • ANU College ANU Joint Colleges of Science
  • Course subject Mathematics
  • Areas of interest Mathematics
  • Academic career PGRD
  • Course convener
    • Prof Peter Bouwknegt
  • Mode of delivery In Person
  • Co-taught Course
  • Offered in Second Semester 2023
    See Future Offerings

This course introduces students to key concepts and techniques in mathematical physics. Topics will be taken from mathematical areas relevant to contemporary research in mathematical physics, and will typically be either a topic in Algebra or (Differential) Geometry. The course will be mathematical in nature and does not require a background in physics.

Note: Graduate students attend joint classes with undergraduates but will be assessed separately.

Learning Outcomes

Upon successful completion, students will have the knowledge and skills to:

  1. Explain the fundamental concepts of a special topic in mathematical physics.
  2. Demonstrate accurate and efficient use of specific mathematical physics techniques.
  3. Demonstrate capacity for mathematical reasoning through analysing, proving and explaining concepts from mathematical physics.
  4. Develop in-depth understanding of the material in order to be able to present new material to other students in an intelligible manner, and answer ad-hoc questions

Other Information

An example topic covered in the course is "Lie Algebras, Representation Theory and Applications". In which case there will be written lecture notes loosely based on the textbook by JE Humphreys, "Introduction to Lie algebras and Representation Theory".

Indicative Assessment

  1. Two written assignments (15% each) (30) [LO 1,2,3]
  2. Written open-book examination (55) [LO 2,3]
  3. Presentation (15) [LO 4]

The ANU uses Turnitin to enhance student citation and referencing techniques, and to assess assignment submissions as a component of the University's approach to managing Academic Integrity. While the use of Turnitin is not mandatory, the ANU highly recommends Turnitin is used by both teaching staff and students. For additional information regarding Turnitin please visit the ANU Online website.


The expected workload will consist of approximately 130 hours throughout the semester including:

  •  Face-to face component which may consist of 3 x 1 hour lectures per week (36 hours) as well as 12 hours of workshop time.
  • Approximately 82 hours of self-study per semester which will include preparation for lectures and assessment tasks.

Inherent Requirements

There are no course-specific inherent requirements.

Requisite and Incompatibility

To enrol in this course you must have obtained a mark of 60 or above in MATH6406 (Applied Mathematics II) and in at least one of MATH6118 (Advanced Algebra 1) and MATH6110 (Advanced Analysis 1). Incompatible with MATH3351.

Prescribed Texts

Written lecture notes or prescribed textbooks, depending on topic


Tuition fees are for the academic year indicated at the top of the page.  

Commonwealth Support (CSP) Students
If you have been offered a Commonwealth supported place, your fees are set by the Australian Government for each course. At ANU 1 EFTSL is 48 units (normally 8 x 6-unit courses). More information about your student contribution amount for each course at Fees

Student Contribution Band:
Unit value:
6 units

If you are a domestic graduate coursework student with a Domestic Tuition Fee (DTF) place or international student you will be required to pay course tuition fees (see below). Course tuition fees are indexed annually. Further information for domestic and international students about tuition and other fees can be found at Fees.

Where there is a unit range displayed for this course, not all unit options below may be available.

6.00 0.12500
Domestic fee paying students
Year Fee
2023 $4320
International fee paying students
Year Fee
2023 $6180
Note: Please note that fee information is for current year only.

Offerings, Dates and Class Summary Links

ANU utilises MyTimetable to enable students to view the timetable for their enrolled courses, browse, then self-allocate to small teaching activities / tutorials so they can better plan their time. Find out more on the Timetable webpage.

The list of offerings for future years is indicative only.
Class summaries, if available, can be accessed by clicking on the View link for the relevant class number.

Second Semester

Class number Class start date Last day to enrol Census date Class end date Mode Of Delivery Class Summary
7570 24 Jul 2023 31 Jul 2023 31 Aug 2023 27 Oct 2023 In Person N/A

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