SluitenHelpPrint
Switch to English
Cursus: 201700034
201700034
Introduction to Partial Differential Equations
Cursus informatie
Cursus201700034
Studiepunten (ECTS)5
CursustypeCursus
VoertaalEngels
Contactpersoondr. T. Akkaya
E-mailt.akkaya@utwente.nl
Docenten
Examinator
dr. T. Akkaya
Contactpersoon van de cursus
dr. T. Akkaya
Docent
dr. J.B. Timmer
Collegejaar2022
Aanvangsblok
2A
OpmerkingElective of module 11 B-AM
AanmeldingsprocedureZelf aanmelden via OSIRIS Student
Inschrijven via OSIRISJa
Cursusdoelen
After having finished the course successfully, a student should be able independently to:
  • Solve basic first-order linear and quasi-linear PDEs.
  • Classify a given second-order 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 above-mentioned PDEs.
Inhoud
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 space-dependent processes. A paradigmatic example is the heat-conducting 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 second-order 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.
 
Voorkennis
Ordinary Differential Equations (ODEs), Vector Calculus
Participating study
Bachelor Applied Mathematics
Module
Module 11
Verplicht materiaal
Book
Haberman R., “Applied partial differential equations: with Fourier series and boundary value problems”, Pearson, 5th ed., ISBN 9781292039855 or ISBN 9780321828972.
Aanbevolen materiaal
-
Werkvormen
Hoorcollege

Werkcollege

Toetsen
Exam

SluitenHelpPrint
Switch to English