• Offered by Mathematical Sciences Institute
  • ANU College ANU Joint Colleges of Science
  • Course subject Mathematics
  • Areas of interest Mathematics
  • Academic career Undergraduate
  • Course convener
    • Prof Benjamin Andrews
  • Mode of delivery In Person
  • Co-taught Course MATH6205
  • Offered in First Semester 2017
    See Future Offerings

This is a special topics course which 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: This is an Honours Pathway course. It emphasises mathematical rigour and proof and develops the fundamental ideas of differential geometry from an abstract viewpoint.

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 with mathematical rigour
3. Apply problem-solving with differential geometry to diverse situations in physics, engineering or other mathematical contexts

Indicative Assessment

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

Requisite and Incompatibility

To enrol in this course you must have successfully completed either MATH2320 or MATH3116 with a mark of 60 and above.

Majors

Specialisations

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
2017 $3444
International fee paying students
Year Fee
2017 $4590
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
2672 20 Feb 2017 27 Feb 2017 31 Mar 2017 26 May 2017 In Person

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