• Offered by Mathematical Sciences Institute
  • ANU College ANU Joint Colleges of Science
  • Classification Transitional
  • Course subject Mathematics
  • Areas of interest Mathematics, Physics
  • Academic career PGRD
  • Course convener
    • Dr Qian Wang
  • Mode of delivery In Person
  • Co-taught Course
  • Offered in Second Semester 2020
    See Future Offerings

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

incompatible with MATH2242

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
Domestic fee paying students
Year Fee
2020 $4050
International fee paying students
Year Fee
2020 $5760
Note: Please note that fee information is for current year only.

Offerings, Dates and Class Summary Links

The list of offerings for future years is indicative only.
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
8604 27 Jul 2020 03 Aug 2020 31 Aug 2020 30 Oct 2020 In Person N/A

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