Advanced Partial Differential Equations (L.6) (G5215)

15 credits, Level 6

Spring teaching

You will be introduced to modern theory of linear and nonlinear Partial Differential Equations.

Starting from the theory of Sobolev spaces and relevant concepts in functional analysis, this module studies linear second-order elliptic, parabolic, and hyperbolic equations such as the potential, diffusion, and wave equations arising in inhomogeneous media.

You will then turn to the study of nonlinear PDE, focusing on calculus of variation.


100%: Lecture


40%: Coursework (Portfolio, Problem set)
60%: Examination (Unseen examination)

Contact hours and workload

This module is approximately 150 hours of work. This breaks down into about 33 hours of contact time and about 117 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 COVID-19, staff availability, student demand or updates to our curriculum. 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: