Proof and Structure in Mathematics
Lecturer: Dr Ben Fairbairn
On this page you can download all materials for the module, as they become available. The syllabus, learning outcomes and recommended books are here.
The dates of lectures are as follows:
| Block 1 materials |
8, 15, 22 & 29 October 2012 |
| Block 2 materials |
12, 19, 26 November and 3 December 2012 |
| Block 3 materials |
14, 21, 28 January and 4 February 2013 |
| Block 4 materials |
18, 25 February and 4, 11 March 2013 |
| Revision Lectures materials |
not yet known, but two dates in Summer term |
Marked assignments will either be returned in lectures or can be collected from Cassie Fernandes in the Department Office (room 717).
Course Materials
The files are all pdf format. You will be prompted for your ITS username and password. Note that appendices to lecture notes are only placed online as they are supplementary to the notes.
Materials are organised according to the Chapter they relate to, so for example solutions to Assignment 1 are under "Materials for Chapter 1".
Material for Chapter 1
- Chapter 1 of notes (covering Block 1 of lectures) here. Includes syllabus, recommended texts and general course information
- Appendix 1 to notes (the "regions on a circle" problem) here
- Solutions to Exercises in Chapter 1 here
- Assignment 1 here; and its cover sheet here;
- Solutions to Assignment 1 here
Material for Chapter 2
- Chapter 2 of notes (covering Block 2 of lectures) here;
- Appendix 2 to notes (well-ordering principle equivalent to induction) here
- Solutions to Exercises in Chapter 2 here
- Assignment 2 here
- Solutions to Assignment 2 here
Material for Chapter 3
- Chapter 3 Notes here
- Appendix 3 to notes (the fundamental theorem of algebra) here
- Appendix 4 to notes (Euler's reciprocal of squares result) here
- Solutions to Exercises in Chapter 3 here
- Assignment 3 here
- Solutions to Assignment 3 here
Material for Chapter 4
- Chapter 4 of notes here
- Appendix 5 to notes (finite groups with elements of order 2) here
- Appendix 6 to notes (does the converse of Langrange's Theorem hold?) here
- Solutions to Exercises in Chapter 4 here
- Assignment 4 here
- Solutions to Assignment 4 here
Revision
- June 2012 Exam here
- Solutions to June 2012 Exam here
- May 2011 Exam here
- Solutions to May 2011 Exam here
- June 2010 Exam
- Solutions to June 2010 Exam
- June 2009 Exam
- Solutions to June 2009 Exam
- Sample Exam
- Solutions to Sample Exam