Entry requirements

Linear Algebra and Geometry I.

Learning outcomes

On completion of the course, the student should be able to:

• give an account of important concepts and definitions in absolute, classical Euclidean and non-Euclidean geometry;
• formulate important results and theorems covered by the course;
• describe the main features of the proofs of important theorems;
• use the theory, methods and techniques of the course to solve geometric problems;
• present mathematical arguments to others.

Content

Absolute geometry, classical Euclidean geometry, the history of non-Euclidean geometry, hyperbolic geometry, construction of models.

Instruction

Lectures and problem solving sessions.

Assessment

Assignments combined with oral examination.

If there are special reasons for doing so, an examiner may make an exception from the method of assessment indicated and allow a student to be assessed by another method. An example of special reasons might be a certificate regarding special pedagogical support from the disability coordinator of the university.