After studying this course, you should be able to:
explain the terms surface, surface in space, disc-like neighbourhood and half-disc-like neighbourhood
explain the terms n-fold torus, torus with n holes, Möbius band and Klein bottle
explain what is meant by the boundary of a surface, and determine the boundary number of a given surface with boundary
construct certain compact surfaces from a polygon by identifying edges
explain how a surface in space can be regarded as a topological space.