![]() | Department of Mathematics & Computer Science | |||
![]() |
Credits: 10 | Convenor: Dr. R. Marsh | Semester: 2 (weeks 1 to 6) |
Prerequisites: | ||
Assessment: | Projects and coursework: 100% | Examination: 0% |
Lectures: | 18 | Problem Classes: | 5 |
Tutorials: | none | Private Study: | 52 |
Labs: | none | Seminars: | none |
Project: | none | Other: | none |
Surgeries: | none | Total: | 75 |
Applications will include discussion of the classification of conics, of frieze and of wallpaper patterns. While this module is not an essential prerequisite for any future mathematics module, a student would find here material that provides further practice in concepts such as the complex numbers, functions and group theory that are met in other modules.
To be able to describe analytically plane geometry , its linear and quadratic figures and its isometries.
To understand the classification of conics and of frieze and wallpaper patterns.
To be able to understand, reproduce and apply the main results of this module.
The ability to use the techniques taught within the module to solve problems.
The ability to apply taught principles and concepts to new situations.
The affine plane, coordinates and the cartesian plane, complex numbers and the complex plane.
Geometric figures, lines, curves, circles and conics; analytic, synthetic representations. Congruences and isometries. Examples.
Transformation of conics to standard form.
Groups of isometries. Frieze patterns and wallpaper groups.
R. P. Burn, Groups: a Path to Geometry, Cambridge.
M. Henle, Modern Geometries, Prentice Hall.
J. Roe, Elementary Geometry, Oxford.
![]() ![]() ![]() ![]() ![]() |
Author: S. J. Ambler, tel: +44 (0)116 252 3884
Last updated: 10/4/2000
MCS Web Maintainer
This document has been approved by the Head of Department.
© University of Leicester.