MAS435 Algebraic Topology
Lecturer: Neil Strickland
Module information
The syllabus, timetable and assessment arrangements are
here.
There is no course material on MOLE/Blackboard; everything is
linked from this page instead.
Assessment
The final grade for this module will be determined as follows.
- There will be a total of 15 problem sheets, marked out of 10.
I will add the best 8 scores for each student over the whole year,
to give a mark out of 80.
- There were a total of 12 quizzes, marked out of 4. I will add
the best 5 scores for each student, to give a mark out of 20.
- I will add the above two scores and divide by 5 to give
a coursework mark out of 20.
- There will be a final exam worth 80 marks, and the score will
be added to the coursework score to give a mark out of 100.
The exam will be open book, and designed to take about an hour
and a half to do. As I do not have experience of setting
open book exams, the calibration may not be very good, but I
will do what I can, and obviously everyone will be in the same
boat. In any case, although the exam will be designed to take 90
minutes, you will have a full 24 hours to complete it.
Notes
There is a set of
lecture notes covering the full year.
There is also a separate
survey of examples
mentioned in the course.
Lectures
There are some
YouTube videos for Section
17 onwards. I plan to experiment with various different formats,
and I hope that the quality will improve as I get more practice and
better equipment. I welcome comments about what does or does not
work. You can email me or just leave YouTube comments.
The plan for the last few weeks of the module is as follows. I
will assume that before Easter, everyone watched the videos and/or
read the notes up to the end of Section 17 (Chain complexes and homology).
| Week 7 (20/4-24/4) |
Section 18 |
The chain complex of a simplicial complex |
| Week 8 (27/4-1/5) |
Section 19 |
Chain homotopy |
|
Section 20 |
The Snake Lemma |
| Week 9 (4/5-8/5) |
Section 21 |
The Mayer-Vietoris Theorem |
|
Section 22 |
Subdivision |
| Week 10 (11/5-15/5) |
Section 23 |
Simplicial approximation |
|
|
Revision |
Interactive demonstrations
There are a number of
interactive
demonstrations which illustrate various points in the course.
More will be added as the course progresses. There are also direct
links to these demonstrations in the lecture notes and solutions to
the problem sheets. There are also YouTube videos explaining all of
the demonstrations, which you can find by following the above link.
Weekly problems and solutions
These will appear here as the course progresses.
You can either hand work in in the Monday lecture, or put it under
my office door, or scan it and send it to me by email. The
deadline is 5pm on Monday. If you want to use your phone as a
scanner, please
use
CamScanner or a
similar app rather than just taking photos.
Past exam papers
Contact details
Neil Strickland
N.P.Strickland@sheffield.ac.uk
Hicks Building, Room J26
0114 2223852