Calculus of Several Variables (G5141)

15 credits, Level 5

Autumn teaching

  • Functions of several variables. Limits, continuity.
  • Differentiation of functions of several variables. Directional derivatives, gradient, total and partial differentials. Taylor formula.
  • Extrema, constrained minima and maxima. Lagrange multipliers.
  • Implicit Function Theorem.
  • Double and Triple integrals. Polar, cylindrical and spherical coordinates.
  • Line and surface integral. Gauss and Stokes Theorem.

Teaching and assessment

We’re currently reviewing teaching and assessment of our modules in light of the COVID-19 situation. We’ll publish the latest information as soon as possible.

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.

This module is running in the academic year 2021/22. We also plan to offer it in future academic years. However, we are constantly looking to improve and enhance our courses. There may be changes to modules in response to student demand or feedback, changes to staff expertise or updates to our curriculum. We may also need to make changes in response to COVID-19. We’ll make sure to let our applicants know of material changes to modules at the earliest opportunity.


This module is offered on the following courses: