MAU22302 Euclidean and non-Euclidean geometry
| Module Code | MAU22302 |
|---|---|
| Module Title | Euclidean and non-Euclidean geometry |
| Semester taught | Semester 2 |
| ECTS Credits | 5 |
| Module Lecturer | Prof. Tommaso Cremaschi |
| Module Prerequisites | MAU11100 Linear Algebra & MAU11201 Single -variable calculus |
Assessment Details
- This module is examined in a 2-hour examination at the end of Semester 1 which will contribute 80% of the final mark.
- Continuous assessment contributes 20% towards the overall mark.
- The module is passed if the overall mark for the module is 40% or more. If the overall mark for the module is less than 40% and there is no possibility of compensation, the module will be reassessed as follows:
1) A failed exam in combination with passed continuous assessment will be reassessed by an exam in the supplemental session;
2) The combination of a failed exam and failed continuous assessment is reassessed by the supplemental exam;
3) A failed continuous assessment in combination with a passed exam will be reassessed by one or more summer assignments in advance of the supplemental session.
Contact Hours
11 weeks of teaching with 3 lectures per week.
Learning Outcomes
On successful completion of this module, students will be able to
- Apply basic theorem on euclidean geometry and basic facts on non-euclidean geometry
- Use trigonometric formulas in both euclidean and non-euclidean geometry.
- Prove rigorously statements about these geometries.
Module Content
In this module we will cover trigonometry in both the euclidean and non-euclidean setting with an emphasis on proof and rigor. Results in convex geometry will also be covered and Theorems such as Pick’s theorem, Desargues and Pappus Theorem.