Will Graham's Tutorial Resources

About and Disclaimer

These notes have been produced on request, intended as a supplement 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 2017/18, for groups H1/2 in EB0.12, Mondays at 13:15.

Revision Tutorials:
Revision tutorials will be running on Monday 8th and Tuesday 9th of January (revision week) for Analysis 1A at the following times:

The format for these revision tutorials will differ slightly from the tutorials you have had throughout the year. The emphasis will be on answering questions that you have come across during revision, rather than focusing on a specific set of problems. Once any questions have been taken care of, we will be going through a past Analysis paper to help familiarise people with the thought processes that are involved.


IMPORTANT: I talked a bit about the exam format in the last tutorial; however I have since been informed by Karsten that the format of the exam has changed, and you must now answer all questions to achieve full marks. However, what I said about the format of questions (and distribution of marks) is likely to still be applicable. That is, you should still aim to work forwards through the paper, as the "harder" questions will reside near the end of the paper. There might be some tougher bits early on, but these are likely to only be part of a question (EG part (iii) of a (iii)-part question) and so could be skipped and revisited later in the exam.