This schedule is, as the title indicates, tentative. It is updated
up to (and including) the homework due the next week but future
assignments may be modified if the progress of the class requires it.
It is your responsibility to check it weekly.
Homework is a mandatory part of the course. Homework assignments are
due each week at the beginning of the Monday's class. Under no
circumstances will late homework be accepted.
The numbering in the schedule below refer to the course textbook Introduction
to Topology, pure and applied by Colin Adams and Robert
Franzosa. The extracredit homework (denoted by EC in the
schedule below) is optional but you are encouraged to work on them.
It is allowed (and encouraged) to discuss the
problems with other students in the class, however you (and only you
and nobody else but you) are responsible for the write up. All the work you hand in should be your
own, not copied from someone else work. You should list
all your sources and collaborators. Suspiciously similar
solutions will receive no credit and will be reported to the Academic
Judiciary.
New material is presented every week. You should read the
corresponding section of the textbook before the class.
Week starts
Sections
Material
covered
HW #
Assignement

The
problems in bold letters are the ones to be
submitted.
Working on the set of problems due next week
will help you review for the midterm. (Note that there are no
new topics)
10/8
5.1
Metric Spaces
7
Change
in homework assignements: As usual, problems in bold letters are
mandatory. Problems underlined
are for students who aspire to an A, or
A in the class. (Everybody can try it but it is very important that
you are able to solve ALL the nonunderlined problems before trying
underlined ones).
5.1, 5.2, 5.3, 5.4, 5.5, 5.6, 5.7, 5.8, 5.10, 5.11, 5.12,
5.13,
5.14, 5.16 (the correct version of 5.14 is here,
page 6). Extra hw about functions and relations here (due 10/24) for students who got 20 or
less in the midterm.
10/17
Monday Oct 8 Midterm 1:
Topics Chapters 1 to 4. (including 4)
7.22, 7.23, 14.10,14.11,14.12, 14.13, 14.14.
There is no homework due next week, but BEWARE!! Very similar problems
to ALL of those listed in this column will appear in the final.
12/3
Special topic
Review
13
Dec 7th, last day of classes.
12/10
12/17
Final
Exam: Thursday Dec. 13th, 5:30pm8pm
Section
Topic (in bold letters what we
will cover). Other topics might be covered.
9
14
12
Other sources
Homotopy
and degree theory Manifolds and cosmology
Knots
Hyperbolic geometry.