MATH3511 Transformations, Groups and Geometry

MATH3511 is a Mathematics Level III course. See the course overview below.

Units of credit: 6

Prerequisites: 12 Units of credit in Level 2 Math courses

Cycle of offering: Term 3 

Graduate attributes: The course will enhance your research, inquiry and analytical thinking abilities.

More information: This recent course handout (pdf) contains information about course objectives, assessment, course materials and the syllabus.

The Online Handbook entry contains information about the course. (The timetable is only up-to-date if the course is being offered this year.)

If you are currently enrolled in MATH3511, you can log into UNSW Moodle for this course.

Course Aims

The principal aim is to develop a working knowledge of some of the deeper aspects of Euclidean geometry, with an understanding of how groups of transformations cast light on the basic mathematical property of symmetry.

It builds on material in earlier years on geometry and linear algebra, combining these areas in understanding Euclidean and projective geometry and geometrical symmetry. Although it has applications in other areas, especially physics and computer graphics, its main aim is pure understanding of geometry and abstract algebra.

Maple is useful occasionally to calculate with examples but is not a principal part of the course. Students are also encouraged to use the freewarre program Geogebra for geometric diagrams.

Course Description

Euclidean geometry, geometry of triangles, transformations, groups, symmetries, projective geometry.

Note: Offered in odd numbered years only.