Handbook 1996 : Faculty of Science (Volume 4 page 215)
Mathematics subject : Next:618-391 | Prev:618-362 | Search | Help
618-380 "Geometry" appears differently in several places - choose the one you want:
1. Mathematics, Faculty of Science (v4, p215) : Next:618-391 | Prev:618-362
Credit points: 15.0
Coordinator: Dr A Byrne.
Prerequisite: Either 618-101 and 618-102 (1995 Handbook), or 618-111 and 618-112, or 618-121 and 618-122, or 618-200, or 618-100 and 618-101 (1995 Handbook), or 618-141 and 618-142. Alternatively, Mathematics 618-290 (Institute of Education).
Contact: 39 lectures (three a week)
Timetable: First semester
Objectives:
On completion of this subject, students should:Comprehend:
- the concept of an axiomatic system and the use of models in axiomatic systems;
- the basic ideas of non-Euclidean, projective and affine geometry;
- the role of geometric transformations in geometry;
- ideas unifying various geometries, particularly the notion of symmetry.
Have developed:
- an understanding of various geometries from an axiomatic and transformational viewpoint, as well as a deeper understanding of Euclidean geometry;
- skills and techniques of geometrical reasoning, including the methods of proof in axiomatic systems.
Appreciate:
- the interaction of algebraic and group theory ideas in the study of geometry, as well as the classical arguments;
- the mathematical and intellectual importance of Euclidean geometry;
- that geometry is becoming more important in an age of computer graphics.
Content:
Axiomatic systems Euclidean, spherical, hyperbolic (non-Euclidean) geometry. Transformation and matrix groups. Isometry groups and tessellations. Projective and affine geometry.
Assessment:
Up to 26 pages of written assignments and up to three hours of end-of-semester written examination.
1. Mathematics, Faculty of Science (v4, p215) : Next:618-391 | Prev:618-362
2. Math. & Stats., Faculty of Educ(Parkville) (v5, p150) : Next:485-398 | Prev:618-362
Credit points: 15.0
Coordinator: Dr A Byrne.
Prerequisite: Either 618-101 and 618-102 (1995 Handbook), or 618-111 and 618-112, or 618-121 and 618-122, or 618-200, or 618-100 and 618-101 (1995 Handbook), or 618-141 and 618-142. Alternatively, Mathematics 618-290 (Institute of Education).
Contact: 39 lectures (three each week)
Timetable: First semester.
Objectives:
On completion of this subject, students should:Comprehend:
- the concept of an axiomatic system and the use of models in axiomatic systems;
- the basic ideas of non-Euclidean, projective and affine geometry;
- the role of geometric transformations in geometry;
- ideas unifying various geometries, particularly the notion of symmetry.
Have developed:
- an understanding of various geometries from an axiomatic and transformational viewpoint, as well as a deeper understanding of Euclidean geometry;
- skills and techniques of geometrical reasoning, including the methods of proof in axiomatic systems.
Appreciate:
- the interaction of algebraic and group theory ideas in the study of geometry, as well as the classical arguments;
- the mathematical and intellectual importance of Euclidean geometry;
- that geometry is becoming more important in an age of computer graphics.
Content:
Axiomatic systems Euclidean, spherical, hyperbolic (non-Euclidean) geometry. Transformation and matrix groups. Isometry groups and tessellations. Projective and affine geometry.
Assessment:
Up to 26 pages of written assignments and up to three hours of end-of-semester written examination.
* Note that CONTACT, CONTENT differs from the maintainer's version above. A log of variations is available.
2. Math. & Stats., Faculty of Educ(Parkville) (v5, p150) : Next:485-398 | Prev:618-362
Status: Official 1996 Date created: Oct 9 1995 Last modified: Oct 9 1995 Authorised by: Academic Registrar Email enquiries: Course_Information@registrar.unimelb.edu.au
Maintained by: Dept. of Mathematics, Faculty of Science.
Copyright © University of Melbourne 1995,1996.