Useful links
Unit of study_
MATH3968: Differential Geometry (Advanced)
This unit is an introduction to Differential Geometry, one of the core pillars of modern mathematics. Using ideas from calculus of several variables, we develop the mathematical theory of geometrical objects such as curves, surfaces and their higher-dimensional analogues. Differential geometry also plays an important part in both classical and modern theoretical physics. The unit aims to develop geometrical ideas such as curvature in the context of curves and surfaces in space, leading to the famous Gauss-Bonnet formula relating the curvature and topology of a surface.
| Code | MATH3968 |
|---|---|
| Academic unit | Mathematics and Statistics Academic Operations |
| Credit points | 6 |
|
Prerequisites:
?
|
A mark of 65 or greater in 12 credit points of MATH2XXX units of study |
|---|---|
|
Corequisites:
?
|
None |
| Prohibitions:
?
|
MATH4068 |
| Assumed knowledge:
?
|
(MATH2921 and MATH2922) or MATH2961 |
At the completion of this unit, you should be able to:
- LO1. demonstrate knowledge and understanding of fundamental concepts and theorems in differential geometry.
- LO2. apply fundamental theorems and concepts of differential geometry in order to solve geometric problems
- LO3. understand and apply geometric concepts to analyse examples to draw conclusions
- LO4. evaluate geometric quantities such as torsion and curvature
- LO5. synthesise knowledge across a range of topics and write valid mathematical proofs.
Unit outlines
Unit outlines will be available 1 week before the first day of teaching for the relevant session.
- Semester 2, 2023 [Normal day] - Camperdown/Darlington, Sydney
- Key dates
Key dates through the academic year, including teaching periods, census, payment deadlines and exams.
- Student administration
Enrolment, course planning, fees, graduation, support services, student IT
- Expectations of student conduct
Code of Conduct for Students, Conditions of Enrollment, University Privacy Statement, Academic Integrity
- Academic appeals
Academic appeals process, special consideration, rules and guidelines, advice and support
- Learning and teaching policy
Policy register, policy search
- Financial support
Scholarships, interest free loans, bursaries, money management
- Study resources
Learning Centre, faculty and school programs, Library, online resources
- Health and support
Student Centre, counselling & psychological services, University Health Service, general health and wellbeing
