## Topic outline

### Important General Information

### LECTURES

Students are expected to attend all lectures, and to be quiet during them. In particular, mobile phones must be switched OFF.

### TUTORIALS

Attendance to the tutorial session every week is compulsory. You will work on some of the assigned coursework in groups of 2 or 3, and have the opportunity to ask questions. There is no tutorial during the consolidation and test week (week 7).

### COURSEWORK

Coursework must be handed in to the

**Coursework Box 7 in the UG study area MB-103**in the Mathematics Building, officially by 12.30pm on Mondays every second week. You are encouraged to work collaboratively, but your solutions must be**written down individually and in your own words**. Coursework will normally be returned with feedback in the following week's tutorial.### ENGAGEMENT MONITORING

For this module, engagement will be monitored in line with the School's Student Engagement Policy.

### MID-TERM TEST AND FINAL EXAM

There will be a 40 mins mid-term test in week 7 worth 10% of the final mark, and a final exam in the spring worth 90%. Use of calculators is not permitted.

### LEARNING RESOURCES

The main learning resource is the

**lecture notes**, which will be posted here regularly.The lectures follow Chapter 2 of the module text:

It is probably best if you can buy a copy of this book (make sure you get the second edition). Otherwise, the University Library has many copies of the it in its Teaching Collection, and also provides it to you as an online book.

You may also find Chapters 1, 2, 3, and 5 of the following book useful for some parts of this module (although beware that not all the notation is the same as used in this module):

You may also find useful the following downloadable lecture notes from Peter Cameron, which you may have seen from the Year 1 module Introduction to Algebra (which is a prerequisite for this one):

### Week 1

### Week 2

### Week 3

### Week 4

### Week 5

### Week 6

In week 6 there will be a short revision lecture and a mock mid-term test, in preparation for the mid-term test on week 7.

### Week 7 - Mid-term test

There are no lectures or tutorials for Ring Theory in week 7. Instead, there will be a mid-term test on Monday Mar 2. The mid-term test is worth 10% of your final mark and lasts 40 minutes.

For the mid-term test you are responsible for all the material covered in the first five weeks of the module. You should prepare for the test by making sure you understand your lecture notes, as well as all of the material in the courseworks. Also to help with your revision, you should attempt the last four years' mid-term tests below, before looking at the solutions.

### Week 8

### Week 9

Watch the following QReview lectures from 2019, and follow along with the lecture notes.

February 26, starting at 1:45:00.

March 4, whole lecture.

March 5, whole lecture.After that, work on this week's coursework, posted below.

### Week 10

Watch the following QReview lectures from 2019, and follow along with the lecture notes.

March 11, whole lecture.

March 12, whole lecture.

February 25, from 36:30. (This gives an overview of this second part of the module.)After that, work on this week's coursework, to be posted soon.

### Week 11

Watch the following QReview lectures from 2019, and follow along with the lecture notes.

March 18, whole lecture.

March 19, whole lecture.After that, work on this week's coursework, to be posted soon.

### Week 12

Watch the following QReview lectures from 2019, and follow along with the lecture notes.

March 25, whole lecture.

February 26, from 52:30 to 1:42:00. (This talks about the field of fractions of an integral domain.)In addition, watch the following review lecture, and follow along with lecture notes:

March 26, whole lecture. (This is a review lecture.)

### Archive of Prof Soicher's lecture notes 2016

As an extra resource, below are the lecture notes made by Prof Soicher in 2016. The overall content is mostly the same as us, but a few topics have been rearranged.

### REVISION AND FINAL EXAM INFORMATION

There will be a

**revision lecture**on Tuesday Apr 28 at 10am. Below is the link for accessing the session.In addition, I will be holding

**3 office hours every week**up to the week of the final exam, where you can ask concrete questions you have about the material. The details and the link for attending are below.The

**final exam format and rubric**will be similar to the ones in last few years, with no more than 20% of the marks being on the material from weeks 9-12. You will have 24 hours to complete and upload your work, but I expect you to take no more than 2 hours working on it.In order to

**prepare for the final exam**, you should make use of all these resources:- Recorded lectures on QReview, together with their corresponding lecture notes.
- Coursework problems and their solution guides. If you submitted your work, you should check the feedback you got.
- Archive of past final exams.
- Revision lectures.
- Weekly office hours, where you can get help on concrete questions.
- Lecture notes by Prof. Soicher and/or the module textbook, if you feel you need additional resources.

- Recorded lectures on QReview, together with their corresponding lecture notes.