Vector Calculus

Module code: MA2032

The branches of mathematical analysis, and differential and integral calculus in particular, form an essential part of the toolbox of any pure or applied mathematician, scientist or engineer. They lead on to the important topics of differential equations and of complex analysis, and form the foundation for Mathematical Modelling of real-life problems. This module will cover topics used in real life modelling, including Fourier series, used to represent periodic functions and work through theorems of Stoke and Green.

This module will build on your knowledge from Calculus and analysis I and introduces vector valued functions and demonstrates how to differentiate and integrate them.  We will use theorems such as Fubini's theorem to calculate iterated integrals, Jacobians theorem to calculate change of variables and Stoke and Green.


  • 33 hours of lectures
  • 2 hours of seminars
  • 11 hours of tutorials
  • 104 hours of guided independent study


  • Exam, 2 hours (70%)
  • Coursework (30%)