NWI-WB046B
Inleiding Partiële Differentiaalvergelijkingen
Cursus informatieRooster
CursusNWI-WB046B
Studiepunten (ECTS)6
CategorieBA (Bachelor)
VoertaalEngels
Aangeboden doorRadboud Universiteit; Faculteit der Natuurwetenschappen, Wiskunde en Informatica; Wiskunde, Natuur- en Sterrenkunde;
Docenten
Coördinator
dr. A.Y. Burtscher
Overige cursussen docent
Docent
dr. A.Y. Burtscher
Overige cursussen docent
Contactpersoon van de cursus
dr. A.Y. Burtscher
Overige cursussen docent
Examinator
dr. A.Y. Burtscher
Overige cursussen docent
Collegejaar2018
Periode
KW1-KW2  (03-09-2018 t/m 27-01-2019)
Aanvangsblok
KW1
Onderwijsvorm
voltijd
Opmerking-
Inschrijven via OSIRISJa
Inschrijven voor bijvakkersJa
VoorinschrijvingNee
WachtlijstNee
Plaatsingsprocedure-
Cursusdoelen
  • The student is able to work with partial differential equations, as well as to distinguish between various classes of PDEs. For such classes, the student is able to discuss solution methods and theoretical considerations.
  • The student is familiar with a few classical partial differential equations such as the Laplace, heat and wave equation.
  • The student is acquainted with classical, weak and distributional solutions, and is able to perform calculations involving those.
  • The student is acquainted with maximum principles and the energy method.
  • The student is able to solve simple first order partial differential equations explicitly using the method of characteristics.
Inhoud
Partial differential equations describe a wide range of phenomena (heat, sound, fluid dynamics etc.) and thus play an important role in many applications. In this course we will introduce and study the basic types of partial differential equations. Solution methods, representation formulas for solutions and properties of solutions for classical linear equations of second order (Laplace, heat and wave equation) will be discussed. We are mainly concerned with existence, uniqueness and regularity of solutions. This involves the use of fundamental solutions, the maximum principle for elliptic equations etc. Furthermore, nonlinear partial differential equations of first order will be considered via the method of characteristics.
Toetsinformatie
written or oral exam depending on the number of participants

Aanbevolen materiaal
Boek
Titel:Partial Differential Equations
Auteur:Lawrence C. Evans
Uitgever:AMS, 2010

Werkvormen
Cursusgebeurtenis

Hoorcollege

Werkcollege

Zelfstudie

Toetsen
Tentamen
Weging1
ToetsvormTentamen
GelegenhedenBlok KW2, Blok KW3