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. Refine geometrical problem-solving and analysis skills and relate them to existing body of knowledge in mathematics, physics, and engineering.
4. Present advanced concepts in geometry and topology orally and in writing.
Indicative Assessment
Biweekly problems sets (30%,LO 1,2,3)Mid-semester and final exams (20% and 30%, respectively (LO 1,2,3)
In addition,
1. in consultation with the course lecturer, students will select a topic related to this course, and through reading of the relevant literature, acquire a fundamental knowledge of that topic.
2. Write a report on the selected topic and highlight key questions currently researched in the field.
(20%, LO 1,2,3,4)
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.
Workload
Three lectures per week, workshops by arrangements.Requisite and Incompatibility
You will need to contact the Mathematical Sciences Institute to request a permission code to enrol in this course.
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.
If you are a domestic graduate coursework or international student you will be required to pay tuition fees. Tuition fees are indexed annually. Further information for domestic and international students about tuition and other fees can be found at Fees.
- Student Contribution Band:
- 2
- Unit value:
- 6 units
If you are an undergraduate student and 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). You can find your student contribution amount for each course 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 |
|---|---|
| 2018 | $3660 |
- International fee paying students
| Year | Fee |
|---|---|
| 2018 | $5160 |
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.
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 |
|---|---|---|---|---|---|---|
| 9066 | 23 Jul 2018 | 30 Jul 2018 | 31 Aug 2018 | 26 Oct 2018 | In Person | N/A |
