Useful links
Unit of study_
MATH3968: Differential Geometry (Advanced)
2025 unit information
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.
Unit details and rules
Managing faculty or University school:
Science
| Study level | Undergraduate |
|---|---|
| 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 availability
This section lists the session, attendance modes and locations the unit is available in. There is a unit outline for each of the unit availabilities, which gives you information about the unit including assessment details and a schedule of weekly activities.
The outline is published 2 weeks before the first day of teaching. You can look at previous outlines for a guide to the details of a unit.
| Session | MoA ? | Location | Outline ? |
|---|---|---|---|
|
Semester 2 2025
|
Normal day | Camperdown/Darlington, Sydney |
Outline unavailable
|
Find your current year census dates
Modes of attendance (MoA)
This refers to the Mode of attendance (MoA) for the unit as it appears when you’re selecting your units in Sydney Student. Find more information about modes of attendance on our website.
