Important || Introduction ||
Week 4 Test ||
Lecture Notes and Problems ||
Solutions to problems ||
Starter Problems || Past Examination Papers || This Year's Examination Paper || Corrections ||
Please read this introduction to the lecture notes before the course begins. The recommended course text is Wilson Sutherland's book 'Introduction to Metric and Topological Spaces', OUP 2009.
Feel free to email me for assistance throughout the semester; but my preferred mode of communication is face-to-face, after lectures or during tutorials. This ensures better feedback in both directions. I shall try to make sure that each lecture is available as an audio podcast, so please shout out if I forget to wear the microphone!
Here is the course timetable.
Here are the solutions to the 2017 test, plus my feedback.
Papers will be returned during week 6 tutorials (beginning Tuesday 7 March), where individual feedback will be offered.
The lecture notes for each of the 6 chapters will be posted here before they are begun in class; there will be one or two associated problem sheets, for discussion in the weekly feedback classes.
The solutions will be posted here during the week
Just to help you to get started - by popular demand!!
I hope the following feedback will help you to avoid some common ways of losing marks!
Here are solutions to the 2014 and 2015 examinations as well.
The 2017 examination paper will consist of four compulsory questions. Every question will contain four parts, worth 5 marks each; this gives 20 marks per question, and 80 marks in total (as before). The August resit will also adopt the new format. The overall style and content of the questions will be unchanged from previous years.
To help with revision, here is a version of the 2011 examination paper in the new format, together with solutions and a marking scheme.
The subject matter of this course is main-stream pure mathematics, and cannot exist (nor be applied) without rigorous proofs. The examination paper will therefore ask for certain proofs from the lecture notes, although they will mainly be the type which input definitions and data, and rearrange them to produce the required output.
The following list of proofs contains (but is not contained in!) all those required for the 2017 May and August examinations.
Parts of examination questions may also give specific examples and request proofs of some of their properties; any such questions will closely resemble examples described in lectures and/or given in the homework problems.
Minor corrections and clarifications may be made to the notes whenever the need is brought to my attention. If major changes are required, they will be announced in lectures and posted here.