• Offered by Department of Mathematics
  • ANU College ANU Joint Colleges of Science
  • Course subject Mathematics
  • Areas of interest Mathematics
  • Academic career Undergraduate
  • Course convener
    • Prof Andrew Hassell
  • Mode of delivery In Person
  • Co-taught Course MATH6205
  • Offered in First Semester 2014
    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

36 lectures 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. You are not able to enrol in this course if you have previously completed MATH3027.

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. Students continuing in their current program of study will have their tuition fees indexed annually from the year in which you commenced your program. 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
1994-2003 $1650
2004 $1926
2005 $2298
2006 $2520
2007 $2520
2008 $2916
2009 $2916
2010 $2916
2011 $2946
2012 $2946
2013 $2946
2014 $2946
International fee paying students
Year Fee
1994-2003 $3390
2004 $3450
2005 $3450
2006 $3618
2007 $3618
2008 $3618
2009 $3618
2010 $3750
2011 $3756
2012 $3756
2013 $3756
2014 $3762
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
3329 17 Feb 2014 07 Mar 2014 31 Mar 2014 30 May 2014 In Person

Responsible Officer: Registrar, Student Administration / Page Contact: Website Administrator / Frequently Asked Questions