• Offered by Mathematical Sciences Institute
  • ANU College ANU Joint Colleges of Science
  • Classification Advanced
    Specialist
  • Course subject Mathematics
  • Areas of interest Mathematics
  • Academic career Postgraduate
  • Course convener
    • AsPr Bai-Ling Wang
  • Mode of delivery In Person
  • Co-taught Course MATH3342
  • Offered in First Semester 2018
    Second Semester 2018
    See Future Offerings

This course introduces students to the key concepts and techniques of Differential Geometry. Possible topics include:

  • Surfaces in Euclidean space
  • General differentiable manifolds
  • Tangent spaces and vector fields
  • Differential forms
  • Riemannian manifolds
  • Gauss-Bonnet theorem

Note: Graduate students attend joint classes with undergraduates but are assessed separately.

Learning Outcomes

On satisfying the requirements of this course, students will have the knowledge and skills to:

1. Explain the concepts and language of differential geometry and its role in modern mathematics
2. Analyse and solve complex problems using appropriate techniques from differential geometry
3. Apply problem-solving with differential geometry to diverse situations in physics, engineering or other mathematical contexts
4. Apply differential geometry techniques to specific research problems in mathematics or other fields

Indicative Assessment

4-5 written assignments involving problem-solving, proofs of theorems and extension of theory (20-25% each; 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 and workshops by arrangement.

Requisite and Incompatibility

You will need to contact the Mathematical Sciences Institute to request a permission code to enrol in this course.

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:
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
2018 $3660
International fee paying students
Year Fee
2018 $5160
Note: Please note that fee information is for current year only.

Offerings and Dates

The list of offerings for future years is indicative only

First Semester

Class number Class start date Last day to enrol Census date Class end date Mode Of Delivery
2678 19 Feb 2018 27 Feb 2018 31 Mar 2018 25 May 2018 In Person

Second Semester

Class number Class start date Last day to enrol Census date Class end date Mode Of Delivery
7654 23 Jul 2018 30 Jul 2018 31 Aug 2018 26 Oct 2018 In Person

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