Will Graham's Tutorial Resources

About and Disclaimer

These notes have been produced on request, intended as a suppliment to the tutorials that I give. The main purpose is to provide hints for the non-homework questions; which the tutorials sometimes miss out due to time constraints, however they will also include anything from the notes that I deem worthy of highlighting and the homework hints I provide (if any). The importance of these things will range from useful to know to FUNDAMENTALLY IMPORTANT; and whilst I will only emphasise certain things from the notes, it is important come the exam that you are familiar with all/most of the material from the lectures and not just what I have listed here. These notes DO NOT provide a substitute for the tutorial - in fact they will often explicitly refer to the tutorial (or things I said in the tutorial), so won't make sense without it!

If there are questions about the resources you see here, drop me an email and I will do my best to answer promptly. In addition, any of my tutees will know how hopeless I am at spelling. If you spot any corrections that are required here, please point them out.

Typing Mathematics

I am always happy to answer questions by email if problems arise outside the tutorial. However when typing a problem that has come up in a question, it can become cumbersome to type out the maths in full - most of the time people resort to some makeshift notation that works in context. Obviously because I have some context, this doesn't matter too much, but it would be much better if the actual mathematical expressions could be used instead, because:

In e-mails:
Fortunately the university email system supports writing equations and mathematical notation; provided you are using the Outlook Web App, Outlook on your personal machine, or a respectable e-mail client. Personally, I have only used a Windows OS (Operating System), and currently use Outlook as a mail client, so I only know the ins and outs of those - but in theory it is possible on any of the other clients I listed. When writing a new email in Outlook (you may need to be writing your email in a separate window for this to work), you can go to the "Insert" tab at the top of the window, and insert an equation. When you type in this box, text behaves differently, and you can insert mathematical symbols from the respective toolbar that pops up. The keyboard shortcut on Windows to insert an equation is 'Alt and ='. If you search around the help forums for other platforms, you should find an equivalent function. A Broader Context (LaTeX):
Those of you who forsee youselves working with maths for a long time, and having to write maths-heavy reports (particularly those of you on Masters courses, including cross-departmental students) may find it useful to start familiarising yourselves with a LaTeX editor. Why you ask? Google (image) search: "ms word move image meme". LaTeX is a typesetting system, specifically designed for scientific report writing. It is freely available and has many editors, both downloadable and online, which come ready-to-use and even include document templates. The editor can appear confusing at first, but there are plenty of tutorials to help you get started. I shalln't go into the details here, because I have literally just given a link to a whole website dedicated to guides and more, and because you can normally solve any problem you have in LaTeX simply by Google-ing it!

MA10207 Analysis 1A; Semester 1

Tutored 2018/19 for groups;

As both tutorial slots are one after the other, feel free to attend the other if you miss your slot (just let me know when you turn up so I can mark you down on the register). You're also welcome to attend both, although bear in mind that the tutorials will be working off the same base material!

MA10207 Analysis 1B; Semester 2

Previous Years

If any of my previous groups want access to the tutorial resources I produced for that year, drop me an email. This being said, the lecture notes from the course should be available via Moodle Archive and will probably provide more context than my inane scribles. Previously tutored groups: