MATS2310 Partial differential equations 1A (5 cr)

A partial differential equation (PDE) is an equation involving an unknown function of two or more variables, and its partial derivatives. Partial differential equations have numerous applications to geometry, stochastics, mathematical finance, physics and image processing.

Introduction to partial differential equations: transport equation, Laplace equation, physical interpretations, different ways of solving the equations.

Student

• recognizes transport equation, and  Laplace equation
• knows physical interpretations for the equations
• knows and can apply basic properties of the equations
• can solve simple PDE problems

The course is suitable and beneficial for prospective math teacher students as well. For instance, the second part of the course Partial differential equations 1B provides mathematical justifications for results related to heat conduction and behavior of waves.

Intermediate studies in mathematics, at least Vector calculus 2

Lecture notes

Additional literature: Evans: Partial differential equations