The following is an outline of what we will cover. All sections refer to the course book by
Munkres. This is subject to possible change or modification as the course proceeds. 
This might be overly ambitious and so some parts might be shortened or omitted.
(The numbers of course do not correspond to weeks.)


I. General or point-set topology part of the course.

1. Chapter 1. Section 11. We will just discuss Zorn's Lemma.
(It is assumed that a lot of the elementary background on sets is known).

2. Chapter 2.  Most of sections 12-21. (Except Section 14 where we just give the definition
of the order topology). Section 22 (the quotient topology) will be done later on when we
begin the algebraic topology part of the course.

3. Chapter 3.  Most but not all of Sections 23-28. For 28, we will
not do any proofs but one should be aware of the statements and some of
the examples.

4. Chapter 4. Brief overview of Sections 30-34, mostly without any proofs. Section 35.

5. Chapter 5. Section 37. Tychonoff's Theorem

6. Chapter 7. Most of sections 43-45.

7. Chapter 8. Most of sections 48 and 49.

II. Algebraic topology part of the course.

8. Chapter 2, section 22, the quotient topology.

9. Chapter 9. Most of sections 51-60.

10. Group actions, orbits, quotient (identification) spaces and more
fundamental groups. As an illustration, we describe the fundamental group of the
Klein bottle in two ways: as a semi-direct product and by giving its
group presentation, two concepts which we will introduce. (See supplementary material below).

11. An overview of parts of Chapter 12, classification of 2-d surfaces.

12. Simplicial complexes and simplicial mappings.  (supplementary material).