Book D Basics

Entering the weird and wonderful world of metric spaces. Your life will never be the same again!


Analysis revision

Fun lecture I gave at M203 summerschool covering most of Chapter 13. Includes the story of how I killed my friend Nigel.


Mixed metric

How to find Cl, Int and Bd with a scary metric.


Tutorial handouts + formative notes

Stuff from an earler tutorial -not doing one on book D this year.



Book E Rings and fields


Book E Basics

My take on what this book is about.


Hierarchy of domains

Like the pickie on HB p96 (but more gorgeous) with brief notes on the properties of each domain. There's a version in the folder which prints better than the gorgeous one.


Some useful YouTube videos

on Rings and Fields


Tutorial handouts

2019 Online Refreshers and 2018 Dayschool handouts.







Book F basics

Brief intro to the very last book - ending on a high.


Non-Euclidean spaces

A few reminders of spaces of sequences & functions


The three Cs

Pickie to summarise (very briefly) how connectedness, compactness and completeness relate to each other


Tutorial questions notes and slides.

Stuff from a few years ago - I didn't do any tutorials on Book F this year.

M303: Further Pure Maths

Book D Metric spaces 1 

Useful stuff (allegedly)


Core & non-core stuff

Copied from the planner to make it easy to print


Proving things

General advice on finding and presenting  proofs, and a summary of standard strategies.


Geometric series

Cribsheet to remind you of some standard results.




Shirleen Stibbe's OU stuff

Health warning:  This is not official Open University material.  All  errors, misconceptions and misleading statements are my very own

Block 2

Book A Number theory

ds4 pickie

Book A Basics

Very short intro notes / tips for each chapter in this book.


TMA01 notes

A few tips, mainly about the formative questions


Tutorial handouts

Dayschool slides, questions, solutions/notes from a previous year.





Book B Basics

Very brief notes, warnings and enthusiasms to get you in the mood for this block.


Notes folder, containing:

1) Summaries of basic stuff,

2) Dicyclic groups note,

3) D6 - the full Monty (everything applied to D6)

4) Direct products



Tutorial handouts

Dayschool from 2017, updated to include extra stuff from 1 Dec 2018 as well.



Book C Numbers and rings


Book C Basics

Usual brief meander through the topics in each chapter of this block



From Ring to Field

The hierarchy;  each entity is a subset of the previous one. This will be expanded in Book E.



Tutorial handouts

All the stuff for the gig on 12/1/19 in London. It was a gas!

D10 in colour subgroups d6 wallpaper rings ds3 pickie metric Analysis heart graph subgroups hierarchy hierarchy pi gasket mandelbrot 3 cs

Book F Metric spaces 2

When the end is near ...

Revision tutorials

f2f dayschool 18 May 2019

+ Online slides


My exam solutions

This is totally unofficial. Not to be relied upon. Updated 14/5/2019 (typo in June 15)


NB Do not read solutions until you've had a serious go at the paper yourself. 

sequence M303

Book B Groups

apple core coloured crying girl icon_star_clip_art klee Youtube