Euclidean and non-Euclidean geometries. Affine geometry, projective geometry. Transformations and transformation groups.
MAT1302/1702 or MAT1341/1741.
The course lectures are based on various textbooks. It is important to follow the course notes which will be uploaded on Virtual Campus. The following textbook will be used as the main reference:
Another auxiliary reference is Geomety by David A. Brannan, Matthew F. Esplen and Jeremy J. Gray.
You will likely find MAT2355 to be different from first year math courses. The biggest difference is that in this course we will emphasize conceptual understanding over computation. The course material includes many mathematical proofs. If you are not comfortable with mathematical proofs, this course is not for you.
Homework assignments and tests will also require students to do proofs. The best way to learn the course material and get used to mathematical proofs is to do as many exercises as possible. It will be very hard to learn the material passively – you must take an active role in your learning. Students who wish to succeed are advised to do the following, starting from the beginning of the course: