Introduction to Partial Differential Equations

Classification of partial differential equations (PDE), similarity solutions, fundamental solutions, travelling wavelike solutions, a priori energy and boundary estimates, maximum principles, comparison principles, uniqueness theorems, Green's functions for elliptic and parabolic equations, tailor-made techniques for non-linear PDE, basic functional analysis for the finite element method for linear elliptic PDE.

Students are required to carry out a minor project individually.

Progressive specialisation: G2F (has at least 60 credits in first‐cycle course/s as entry requirements)

Education level: Undergraduate level

Admission requirements: Mathematics 60 ECTS cr with at least 45 ECTS cr completed, including MAGA04 Linear Algebra 7.5 ECTS cr and MAGA62 Multivariable Analysis 7.5 ECTS cr., or equivalent.

Selection:

Selection is usually based on your grade point average from upper secondary school or the number of credit points from previous university studies, or both.

This course is included in the following programme

• Mathematics Programme (studied during year 2)