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.

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:

- For the purposes of your general mathematical education, at some point you are going to need to get familiar with writing mathematics in reports (unless you fancy writing out a 30-page project report by hand...), so it's good practice to start now.
- It means I can understand your question faster and your point more prcisely, and give you a better answer in my response.
- It saves us all time trying to cipher/decipher the makeshift notation!

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.

- Those of you who can't find a function like this, consider the next paragraph, and sending your email with a .pdf or .doc file attachment.

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 isn't perfect, so don't think I'm shooting down MS Word or iOS Pages etc; they both have their merits (in particular the spellchecking features easily surpass most LaTeX editors). However the ease of use in LaTeX, and the far less clunky way it handles images, equations and report formalities put it ahead, particularly for a scientific writer.

- Those of you who are on the MMath will have an introduction to LaTeX as preparation for your Master's project, in your 4th year. Whilst this is a long way off, it doesn't hurt to start now.

Tutored 2018/19 for groups;

- E1/2 in 3W3.9, Mondays 10:15-11:05,
- B3/4 in 8W2.29, Mondays 11:15-12:05.

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:

- (Acc. Year 2017/18, Semester 1) MA10207 Analysis 1A, H1/H2
- (Acc. Year 2017/18, Semester 2) MA10207 Analysis 1B, H1/H2