Calculus of Several Variables (G5141)

15 credits, Level 5

Autumn teaching

Calculus of several variables has numerous applications in any field of study, where problems under consideration involve more than one variable, such as physics, engineering, business, economics, biology.

This module introduces you to the analysis of functions of multiple variables. You will learn the rules for:

  • partial differentiation
  • constraint optimisation
  • double and triple integrals

You will learn techniques used to evaluate volume, line and surface integrals and how they are related via the Divergence and Stokes’ Theorems. These theorems are essentially higher dimensional versions of the Fundamental Theorem of Calculus.


77%: Lecture
23%: Practical (Workshop)


20%: Coursework (Portfolio, Problem set)
80%: Examination (Unseen examination)

Contact hours and workload

This module is approximately 150 hours of work. This breaks down into about 39 hours of contact time and about 111 hours of independent study. The University may make minor variations to the contact hours for operational reasons, including timetabling requirements.

We regularly review our modules to incorporate student feedback, staff expertise, as well as the latest research and teaching methodology. We’re planning to run these modules in the academic year 2023/24. However, there may be changes to these modules in response to feedback, staff availability, student demand or updates to our curriculum. We’ll make sure to let you know of any material changes to modules at the earliest opportunity.


This module is offered on the following courses: