This course no longer exists, but I have left the material here in the hope that it may be useful.

- There is a set of notes for the course.
- There is a problem book and a solution book
- There is a list of formulae that you need to know for the exam.
- The links below point to slides shown in the lectures. It will usually be
a better idea to use the notes as above. If you want to print the lecture
slides, you should use these versions instead.
Week Lectures 1 Introduction, partial derivatives, optimisation Mon Wed 2 Classifying critical points, Lagrange multipliers Mon Wed 3 Plane integrals Mon Wed 4 Polar integrals, three-dimensional integrals Mon Wed 5 Cylindrical and spherical coordinates Mon Wed 6 Vector algebra, geometry of vector fields Mon Wed 7 Vector calculus, potential functions Mon Wed 8 Vector calculus in polar coordinates, curves Mon Wed 9 Planar divergence theorem and Green's theorem; surfaces Mon Wed 10 Surface integrals and the divergence theorem Mon Wed 11 Stokes's theorem Mon - Past exam papers:
- The Khan Academy has a collection YouTube video lectures on different aspects of calculus, many of which are relevant for this course.
- If you want to reuse and adapt the course material for your own teaching then you may do so, subject to the conditions of the Creative Commons Attribution-NonCommercial-ShareAlike license. The files can be downloaded here. You should note that the solutions to the problems will remain online here, so you will probably want to write your own problems.