Focus on Partial Differential Equations and Analysis

Partial Differential Equations (PDEs) play a central role in physics, chemistry, biology, industry, mathematical finance, and image processing. Their analysis often requires deep mathematical techniques, which makes PDEs to at the heart of both historical and recent developments in analysis, geometry, and probability. Because of this and their applications, PDEs is a very active area of mathematics, the one with the largest number of publications.

Students interested in focusing on PDEs and Analysis are invited to select 45 ECTS from this list and the suggestions below:

A minimum of 3 MAMME courses (22.5 ECTS) is mandatory.

Other appropriate courses (depending on the student interests) with connections to PDEs are:
Quantitative and Qualitative Methods in Dynamical Systems (Q1 MAMME), Hamiltonian Systems (Q2 MAMME), and courses within the Barcelona universities masters offer in Mathematical Finance, Mathematical Biology, Image Processing, Functional Analysis, or Differential Geometry.

The UPC master course "Functional Analysis and PDEs” (currently "Advanced Course in Partial Differential Equations”) and the UB master course "Partial Differential Equations” cover different topics of the theory of PDEs. Their contents do not overlap (or intersect), but both courses complement each other. At the same time, their contents do not overlap with a possible first undergraduate course in PDEs that the student may have taken.