Course level

Undergraduate

Faculty

Science

School

Mathematics & Physics School

Units

2

Duration

One Semester

Class contact

3 Lecture hours, 1 Tutorial hour

Prerequisite

MATH2000 or MATH2001

Recommended prerequisite

Assessment methods

Assignments and examinations

Course coordinator

Dr Huy Nguyen (h.nguyen27@uq.edu.au)

Study Abroad

This course is pre-approved for Study Abroad and Exchange students.

Current course offerings

Course offerings Location Mode Course Profile
Semester 2, 2017 St Lucia Internal Profile unavailable

Please Note: Course profiles marked as not available may still be in development.

Course description

Curves: Parameterised curves, regular curves, arc length. Local theory, Frenet frame. Global properties of plane curves.

Regular surfaces: Change of parameterisation, differential functions on surfaces. The tangent plane, the differential of a map. First fundamental form, area functional.

Geometry of the Gauss map: fundamental properties, local coordinates. Vector fields. Minimal surfaces and other applications.

Intrinsic and extrinsic geometry of surfaces: isometries, conformal maps.

Selected topics from: Theorema egregium. Parallel transport, geodesics. Gauss-Bonnet Theorem and applications. Exponential map. Geodesic polar coordinates.

Archived offerings

Course offerings Location Mode Course Profile
Semester 2, 2016 St Lucia Internal Course Profile
Semester 2, 2015 St Lucia Internal Course Profile
Semester 2, 2014 St Lucia Internal Course Profile
Semester 2, 2013 St Lucia Internal Course Profile
Semester 2, 2012 St Lucia Internal Course Profile
Semester 2, 2011 St Lucia Internal Course Profile