$$ \usepackage{derivative} \newcommand{\odif}[1]{\mathrm{d}#1} \newcommand{\odv}[2]{\frac{ \mathrm{d}#1}{\mathrm{d}#2}} \newcommand{\pdv}[2]{\frac{ \partial#1}{\partial#2}} \newcommand{\th}{\theta} \newcommand{\p}{\partial} \newcommand{\var}[1]{\text{Var}\left(#1\right)} \newcommand{\sd}[1]{\sigma\left(#1\right)} \newcommand{\cov}[1]{\text{Cov}\left(#1\right)} \newcommand{\cexpec}[2]{\mathbb{E}\left[#1 \vert#2 \right]} $$
Single Maths B notes
Welcome to Single Maths B
Welcome to Single Maths B! These lecture notes contain all the mathematical content you’ll need to know to succeed in Maths this year.
If you have questions about any of the content here, try one of the following:
ask a friend!
ask me! I like to answer emails, and I am often in my office (MCS3060): you can (and should) pop by to see if I’m around. You can do this during my official office hours (Mondays, 1-2pm) for a guaranteed speedy response, but you definitely shouldn’t wait until then, especially if it’s a short or quick question.
Google it, or try a textbook. There are some good ones on the reading list (see below).
These notes have been developed over the years by several members of the Maths department, including (most recently) Martin Kerin, Nabil Iqbal, and Steve Abel.
How to use these notes
The notes contain all the mathematical content for the course. In lectures, we will start at the beginning and work our way through the whole document, until we reach the end (hopefully, this will happen exactly at the end of term).
Throughout the notes, there are boxes like this one:
These contain examples you can work through to check your understanding. Wherever possible, I’ve also worked examples into the text, but there are some places where I want to give you an extra example. These come in purple boxes.