Calculus of Several Variables (G5210)

15 credits, Level 5

Autumn teaching

This module covers topics including:

  • partial derivatives, the gradient vector, higher order partial derivatives and Hessian matrix
  • multiple integration, cylindrical polar coordinates and spherical polar coordinates
  • implicit Function Theorem and Taylor's Theorem
  • line integrals
  • Green's theorem, Gauss's theorem and Stokes' theorem
  • CV and career guidance


56%: Lecture
19%: Practical (Workshop)
25%: Seminar (Class, Seminar)


30%: Coursework (Essay, Presentation, Problem Set, Test)
70%: Examination (Unseen examination)

Contact hours and workload

This module is 120 hours of work. This breaks down into 48 hours of contact time and 72 hours of independent study.

This module is running in the academic year 2017/18. We also plan to offer it in future academic years. It may become unavailable due to staff availability, student demand or updates to our curriculum. We’ll make sure to let our applicants know of such changes to modules at the earliest opportunity.


This module is offered on the following courses: