## Topic outline

### General

- Teaching & Assessment Overview URL
Overlaps, Prerequisites, etc. • Past Exam Papers • Assessment Profile • Teaching Syllabus • Learning Outcomes and Assessment Criteria

- Reading List Reading lists online
### Reading list (2 items)

- Groups, rings, and fields Wallace, D. A. R. c1998

Book Optional Background reading - Discrete mathematics Chetwynd, A., Diggle, Peter 2003

Book Optional Background reading

- Groups, rings, and fields Wallace, D. A. R. c1998

### General Information

#### QReview recordings

This module's lectures are recorded on QReview. Here are the Q-Review Lecture Recordings.

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#### Note to 2017/18 students

The curriculum for Introduction to Algebra has been adjusted, so this year's lectures will have many differences in arrangement from last year's, below. They should still give a fair sense of what the module is like.

#### Engagement

For this module, engagement monitoring will be carried out in line with the student engagement policies of the School of Maths.

#### Lecture notes

I will post two sets of notes for this module:

- a polished set of typeset lecture notes, which I will upload each week in advance of lectures. These are the notes I am teaching from, but the chapter divisions may not synch up exactly with the weeks of the semester, and I also generally give different examples.
- scans of the notes I write in lecture on the document camera, which I will upload after lectures.

#### Recommended texts

- D A R Wallace: Groups, Rings and Fields, Springer, London 1998; ISBN 3540761772
- A Chetwynd and P. Diggle: Discrete Mathematics, Butterworth-Heinemann, 1995

#### Quizzes

The weekly quizzes, like those in Mathematical Computing, provide you immediate feedback on your answers and are meant for consolidation and/or revision after you have worked through each week's notes. They do not carry any marks, and are provided solely to support your learning.

### Week 2

- Typeset notes, chapter 2 File
Lectures in week 2 will extend into the first part of chapter 3 of the notes, on fields. (We will stop before section 3.1.)

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### Week 3

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The following link is (nonexaminable!) bonus material:

How to rotate in three dimensions using quaternions

### Week 4

- Typeset notes, chapter 4 File
Lectures in week 4 will extend into the first part of chapter 5 of the notes, on the Cartesian product.

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Here is an endless supply of extended Euclidean algorithm questions to practice on.

### Week 5

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I was away at a conference during week 5. The lectures were given by Drs Bray and Sodin. Dr Bray used the whiteboards and as such did not produce scannable notes.

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### Week 6

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The Mathematics staff will move to the Queens building during reading week. After we move I will be able to get a coursework submission box for this module, which means that the coursework can be collected after the tutorials. Starting with Coursework 6, the new due date for coursework is

**6pm Wednesdays**. Watch this space for submission instructions.- 75.6KB

### Week 7: Reading week and in-term test

During Week 7 the

**in-term test**takes place, on*Thursday 23 February at 9am*(the same time as usual Thursday lectures). If you have special accommodations for the test, you should receive separate communication as to where it is to take place. Otherwise, your test is- in the
*Arts 2*lecture theatre if your surname begins with a letter A–K - in the
*Mason*lecture theatre if your surname begins with a letter L–Z

There will be a one-hour-long

**revision lecture**for the in-term test on*Monday 20 February at noon*in the*Skeel*lecture theatre (just like a usual Monday lecture).- in the
The in-term test counts for

**10%**of your mark for this module, and covers weeks 1 through 6. It will have five questions, like the specimens from previous years linked below. You will have 50 minutes to write it.The past papers are also representative with respect to content. You should expect a mixture of definitions to be stated, computations to be done, and statements to be proved or disproved (nothing too strenuous). Do not neglect definitions in your revision!

*You may collect your marked papers from outside the Maths main office, Queens CB307. They are in a bag under the racks for uncollected coursework.*- 821.9KB

### Week 9

- Typeset notes, chapter 8 File
Lectures this week will make a start on chapter 9 of the notes.

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### Week 11

- Typeset notes, chapter 9, part two File
Thursday's lecture will start on chapter 10.

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### Week 12

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The quiz facility on QMPlus was unable to deal with permutations. So here is an endless supply of questions on computing in the symmetric group.

There is no coursework for this week, because there are no more tutorials in which you could turn it in. Questions on this week's lectures are in Coursework 10.

- This topic
### Revision Lectures

The revision lecture for Introduction to Algebra takes place on

**Monday, 8 May**at**2pm**in the Arts Two lecture theatre.- Revision lecture topic suggestions Glossary
Use this "glossary" to suggest topics you wish to see covered in the revision lecture and to vote on others' suggestions.

### Exam

The final exam counts for

**90%**of your final mark for this course. Its date and time are to be announced.The rubric of the final exam will be "Answer all questions". There will be around seven questions, with multiple parts each.

Topics from the typeset notes which have not been introduced in lecture are not examinable.

Past exam papers can be found here. Solutions to these will not be available.

- Historical exam papers Folder
Some of these exams are for earlier versions of the module syllabus, and as such their topic coverage and/or rubric might not match this year's exam.