This is the home page of MA20216: *Algebra 2A* taught by Fran Burstall.

The last lecture of the official course was at 15:15 on Tuesday 7th December. Thereafter, the remaining appointments are:

- Problem class (zoom) at 14:15 on Friday 10th December

- Revision lecture at 15:15 on Tuesday 14th December in EB1.1
- Problem class (zoom) at 14:15 on Friday 17th December

- Revision lecture at 15:15 on Tuesday 11th January 2022 in EB1.1

All other lectures are *cancelled.*

These run as normal in weeks 10 and 11. There are NO tutorials in revision week.

I will lecture three times a week as follows:

- Tuesdays at 15:15 in EB1.1
- Thursdays at 17:15 in CB1.11
- Fridays at 10:15 in EB1.1

Lectures start in week 1.

Additionally, I shall record a problem class in the shape of me working through the exercise sheets at 14:15 every Friday afternoon. Join me on zoom if you like and mail me if there is something you particularly want me to cover.

Any hour that I am not busy with lectures or problems classes is an office hour. Just drop me an email or swing by my office (4W3.39).

I keep a diary of what I covered in lectures. There is also an official syllabus and a reading list.

Exercise sheets will be issued weekly on Fridays and homework should handed in at the 4W pigeon holes by noon a week later after which solutions will be available here.

- Exercise sheet 1 with solutions
as
`PDF`

,`clearprint PDF`

and`html`

. - Exercise sheet 2 with solutions as
`PDF`

,`clearprint`

and`html`

. - Exercise sheet 3 with solutions as
`PDF`

,`clearprint`

and`html`

. - Exercise sheet 4 with solutions as
`PDF`

,`clearprint`

and`html`

. - Exercise sheet 5 with solutions as
`PDF`

,`clearprint`

and`html`

. - Exercise sheet 6 with solutions as
`PDF`

,`clearprint`

and`html`

. - Exercise sheet 7 with solutions as
`PDF`

,`clearprint`

and`html`

. - Exercise sheet 8 with solutions as
`PDF`

,`clearprint`

and`html`

. - Exercise sheet 9 with solutions as
`PDF`

,`clearprint`

and`html`

. - Exercise sheet 10 with solutions as
`PDF`

,`clearprint`

and`html`

.

Here are typeset notes for the course.

**WARNING**: these are not a substitute for taking your
own careful notes during lectures. In particular, these
notes are a work in progress and will certainly contain many mistakes (if you find any, report them
to me!).

- The entire course as PDF, clearprint PDF or html. Last updated: 08:11, Wednesday, December 8 2021.
- Log of recent corrections and additions to the notes.
- Course outline: all the theorems and definitions from the course (auto-generated from the course notes) as PDF, clearprint PDF or html.

Look here for recordings of lectures, problem classes and tutorials.

Here is a mock open-book exam. It is based on the January 2020 exam so you can see how the bookwork has been adjusted for the open book setting.

In both cases, the rubric asks you to do all questions in section A and two questions from section B.

- Mock exam as PDF, clearprint PDF and html. Here are solutions.
- The January 2020 exam, for comparison, as PDF, clearprint PDF and html.

There are two forums on moodle associated to this unit where you can ask me questions (equally, you can just send me an email):

- Discussion forum: for maths questions around the course material and exercise sheets.
- Queries forum: for questions about the administration of the course.

You can unsubscribe to either forum if they do not interest you.

This unit is assessed 100% by exam. Generic exam feedback will be available early in the spring. Individual exam feedback will be offered after the marks come out.

In 2017–18, two things happened: I took over the course and changed its focus somewhat and the format of year 2 exams changed to the present section A/B format. So there are five past papers that give a good approximation to the real thing:

- 2017 mock exam as PDF, clearprint PDF and html with solutions.
- 2018 exam as PDF, clearprint PDF and html with solutions.
- 2019 exam as PDF, clearprint PDF and html with solutions.
- 2020 exam as PDF, clearprint PDF and html with solutions.
- 2021 exam as PDF, clearprint PDF and html with solutions.

That said, the 2016/17 paper (available from the library) are still a good revision aid with the following caveats:

- The format is different: the rubric was to answer three questions out of four. There was no section A or B.
- The questions are a bit longer.
- There are questions on things we have not covered: in particular, ignore Q1!

- Some nice slides showing the Singular Value Decomposition in action for image compression.

I welcome feedback in the form of
*constructive* comments or criticism.

If you encounter any problems while using this site, send me mail describing as completely as you can what has gone wrong.

Fran Burstall
<feb@bath.ac.uk>
Last modified: Fri Dec 17 08:54:35 GMT 2021