MAS61015 Algebraic Topology
Lecturers: Markus Szymik and Neil Strickland
Module information
The syllabus, timetable and assessment arrangements are
here.
Lecture notes
Both versions of the notes contain links to various interactive
demonstrations (described below) and videos.
The HTML version is new. It should be better than the PDF for
viewing on a phone, or for reading with a screen reader. I would
welcome any comments on either of these use cases.
There is also a separate
survey of examples
mentioned in the course.
I strongly recommend that you should attend lectures in person if
possible. If you cannot do that, I recommend that you
work from the notes and embedded videos and demonstrations. There
is also a lecture progress page where you
can see which sections of the notes have been covered in lectures.
Interactive demonstrations
There is a set of
interactive demonstrations
explaining many of the ideas in the course. I will talk through these
in lectures, there are attached YouTube videos, and you can try them
yourself at other times. These are experimental and under development. I
welcome comments about the extent to which they are comprehensible, useful
or interesting.
Assessment
There will be eight homework assignments in each semester. The
best five in each semester will each count for 2% of the overall
course grade, making 20% in total. The remaining 80% will be
based on a final exam. This will be a 2.5 hour formal closed
book exam with five questions of equal value, of which you will
be asked to complete four.
Weekly problems
These will appear here as the course progresses.
I would prefer work submitted on paper, but you can send me a scan
by email if necessary.
Past exam papers
For the 2023-24 version of the course, the best guide is the the real
exams from 2021-22 and 2022-23 and the mock exam from 2021-22. Below
you will also find a large number of questions from earlier years.
Some of these are compatible
with the current version of the course and some are not.
I have also provided a document explaining which material is examinable.
As well as revising the examinable material, you should make sure that
you are familiar with all the examples in the course. These are
summarised in the
survey of examples.
Contact details
Neil Strickland
N.P.Strickland@sheffield.ac.uk
Hicks Building, Room J26
0114 2223852