Mathematical Studies
MA334: Geometry (5 ECTS)
This module is an introduction to the ideas and methods of classical and modern geometry.
Taught in Semester(s) 2. Examined in Semester(s) 2.
Workload: 100 hours (24 Lecture hours, 12 Tutorial hours, 64 Self study hours).
Module Learning Outcomes.
On successful completion of this module the learner should be able to:
- perform basic calculations of distance, angle measure and area in the Euclidean plane,
- describe, with reference to appropriate examples, the difference between the synthetic and algebraic approaches to Euclidean geometry,
- state and prove some of the basic propositions of plane Euclidean geometry,
- use diagrams to aid in constructing proofs and solving problems,
- apply deductive reasoning to solve geometric problems,
- explain the classification of isometries of the Euclidean plane,
- describe the symmetries of some simple shapes such as regular polygons,
- calculate spherical distance, angle measure and area,
- compare and contrast the geometry of the plane with that of the sphere.
Indicative Content
Students will study plane Euclidean geometry in a rigorous fashion and will also see some examples of non Euclidean geometries. The course is particularly well suited to students considering a career as a mathematics teacher but should be of interest to any student of mathematics.
Module Resources
Geometry by Roger Fenn. Springer Undergraduate Mathematics Series.
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