Key facts
UNE unit code: MATH501
*You are viewing the 2026 version of this unit which may be subject to change in future.
- Trimester 2 - On Campus
- Trimester 2 - Online
- Armidale Campus
- Yes
- No
- Yes
- 6
Unit information

Equip yourself for lifelong independent learning in the mathematics topics you are passionate about and delve into advanced topics in geometry that are relevant to your study and career goals.
This unit offers you an opportunity to extend your mastery of the central concepts and theorems of advanced geometry, choosing a tailored program of study from a range of topics.
These include both established and emerging areas in the discipline, including algebraic geometry, CR geometry, differential geometry and Riemannian geometry.
With support from an academic supervisor, you will develop expertise in your chosen area, and be able to clearly demonstrate your capacity for complex problem solving and excellent scientific communication.
Offerings
For further information about UNE's teaching periods, please go to Principal Dates.
| Teaching period | Mode/location |
|---|---|
| Trimester 2 | On Campus, Armidale Campus |
| Trimester 2 | Online |
*Offering is subject to availability
Intensive schools
There are no intensive schools required for this unit.
Enrolment rules
Notes
some topics may not be available every year. Students must consult the unit coordinator for advice on available topics.
Please refer to the student handbook for current details on this unit.
Unit coordinator(s)

Learning outcomes
Upon completion of this unit, students will be able to:
- autonomously understand and apply working knowledge of the central concepts and theorems of advanced geometry to set problems designed as training problems for postgraduate research in geometry;
- clearly interpret and transmit the relationship of the central concepts and theorems of advanced geometry to the framework and development of modern mathematics, in spoken English to specialist and non-specialist audiences; and
- develop in clearly and logically-written English (with mathematical symbols, where appropriate) the calculations and logical reasoning necessary for expert-inspection of problem solutions, in style and format broadly consistent with the publication of postgraduate research.
Assessment information
Assessments are subject to change up to 8 weeks prior to the start of the teaching period in which you are undertaking the unit.
| Title | Must Complete | Weight | Offerings | Assessment Notes |
|---|---|---|---|---|
| Assessment - Assurance Task | Yes | 100% | All offerings | Oral exam will be a discussion with the student about written work, previously assigned by the unit coordinator and submitted by the student. |
Learning resources
Textbooks are subject to change up to 8 weeks prior to the start of the teaching period in which you are undertaking the unit.
Textbook information will be displayed approximately 8 weeks prior to the commencement of the teaching period. Please note that textbook requirements may vary from one teaching period to the next.
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