This course introduces students to basic concepts in differential geometry and topology.
Learning Outcomes
Upon successful completion, students will have the knowledge and skills to:
On satisfying the requirements of this course, students will have the knowledge and skills to:1. Explain the fundamental concepts of the differential geometry and topology of curves and surfaces.
2. Demonstrate accurate and effective use of fundamental techniques of differential geometry and topology.
3. Acquire geometrical problem-solving and analysis skills which may be applied to diverse situations in mathematics, physics, and engineering.
Indicative Assessment
Biweekly problems sets worth a total of 40% of the final mark (LO 1,2,3). A midterm and final exam, worth 25% and 35% of the final mark, respectively (LO 1,2,3).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.
Workload
Three lectures per week and regular workshops.Requisite and Incompatibility
Preliminary Reading
Differential Geometry of Curves and Surfaces by Manfredo Do Carmo
Differential Topology by Victor Guillemin and Alan Pollack
Fees
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:
- 1
- 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.
| Units | EFTSL |
|---|---|
| 6.00 | 0.12500 |
Course fees
- Domestic fee paying students
| Year | Fee |
|---|---|
| 2022 | $4200 |
- International fee paying students
| Year | Fee |
|---|---|
| 2022 | $6000 |
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.
