
After having finished the course successfully, a student should be able independently to:
 Solve basic firstorder linear and quasilinear PDEs.
 Classify a given secondorder linear PDE as either elliptic, parabolic or hyperbolic
 Recognize and solve wave equation, heat equation and Laplace equation
 Predict behavior of the solutions of the abovementioned PDEs.


The course Partial Differential Equations (PDEs) from Mathematical Physics is a natural extension of the course Ordinary Differential Equations (ODEs). PDEs model a wide range of continuous time processes. The emphasis here is on the description and the building up of understanding of spacedependent processes. A paradigmatic example is the heatconducting beam: feed heat on one side and the heat spreads over the entire beam. With the help of a simple PDE, someone can now determine exactly how this process takes place.
This course introduces students to the classical subjects of mathematical physics. Here we deal with three classic types of linear secondorder PDEs: hyperbolic, parabolic and elliptic. The three named PDEs have a wide range of applications  such as the propagation of waves, thermal diffusion, and electrostatics.



 VoorkennisOrdinary Differential Equations (ODEs), Vector Calculus 
Bachelor Applied Mathematics 
  Verplicht materiaalBookHaberman R., “Applied partial differential equations: with Fourier series and
boundary value problems”, Pearson, 5th ed., ISBN 9781292039855 or ISBN 9780321828972. 

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