**Duration:**

**Number of lectures per week:** 3

**Assessment:**

**End-of-year Examination:** One 3-hour examination

**Description: **
The course will begin by introducing concepts of convergence
and continuity, first in the contexts of subsets of Euclidean spaces,
then in the context of metric spaces, and finally in the context of
topological spaces. Topological properties such as compactness and
connectedness will be investigated. The course will conclude with
an introduction to algebraic topology, including the concepts of homotopy
and the fundamental group.
Applications will be given to the topology of the plane, including
the two-dimensional case of Brouwer's Fixed Point Theorem.

Mar 27, 2003

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On 27 Mar 2003, 13:48.