University of Galway

Course Module Information

Course Modules

Semester 2 | Credits: 5

This course introduces the students to Euclidean and non-Euclidean geometry. The Euclidean geometry component covers both the synthetic and the algebraic approaches. It also covers some applications of spherical geometry.
(Language of instruction: English)

Learning Outcomes
  1. describe, with reference to appropriate examples, the difference between the synthetic approach and the algebraic approach to Euclidean geometry;
  2. state and prove some of the basic propositions of Euclidean geometry;
  3. apply deductive reasoning to solve geometric problems;
  4. explain the classification of isometries of the Euclidean plane;
  5. describe the symmetries of some simple shapes such as regular polygons;
  6. calculate spherical distance, angles and areas;
  7. compare and contrast the geometry of the plane with that of the sphere
Assessments
  • Written Assessment (70%)
  • Continuous Assessment (30%)
Teachers
Reading List
  1. "Geometry (Springer Undergraduate Mathematics Series)" by Roger Fenn
The above information outlines module MA334: "Geometry" and is valid from 2015 onwards.
Note: Module offerings and details may be subject to change.