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. I.T. Marcut
Overige cursussen docent
Docent
dr. I.T. Marcut
Overige cursussen docent
Contactpersoon van de cursus
dr. I.T. Marcut
Overige cursussen docent
Examinator
dr. I.T. Marcut
Overige cursussen docent
Collegejaar2023
Periode
KW1-KW2  (04-09-2023 t/m 28-01-2024)
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 and to distinguish between different classes of partial differential equations. 
  • The student is able to discuss solution methods and theoretical considerations for particular classes of partial differential equations.
  • The student is familiar with a few classical partial differential equations, such as the Laplace, heat and wave equation.
  • 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 (e.g. heat, sound, diffusion, elasticity) and thus, play an important role in many applications. In this course we introduce and analyze 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, maximum principles and energy methods. Furthermore, nonlinear partial differential equations of first order will be considered and studied via the method of characteristics.
Niveau

Voorkennis
A solid understanding of linear algebra, calculus, analysis and ordinary differential equations is required. The following courses are prerequisites:

NWI-WP001B    Analyse 1; 
NWI-WB001B    Analyse 2;
NWI-WP025    Calculus A;
NWI-WP026    Calculus B;
NWI-WB104    Gewone Differentiaalvergelijkingen;
NWI-WP027    Lineaire Algebra A;
NWI-WP028    Lineaire Algebra B.

The following courses are recommended (but are not prerequisites):

NWI-WB049B    Inleiding Fouriertheorie;
NWI-WB061B    Krommen en Oppervlakken.

 
Toetsinformatie
Written exam = 90% of the grade;
Weekly homework assignments = 15% of the grade;
The 5% over 100% are bonus points.
Bijzonderheden

Aanbevolen materiaal
Boek
ISBN:978-0-8218-4974-3
Titel:Partial Differential Equations
Auteur:Lawrence C. Evans
Uitgever:American Mathematical Society, 2010
Druk:2
Boek
ISBN:978-1-4704-4292-7
Titel:A Course on Partial Differential Equations
Auteur:Walter Craig
Uitgever:American Mathematical Society, 2018

Werkvormen
Cursus

Toetsen
Tentamen
Weging1
ToetsvormTentamen
GelegenhedenBlok KW2, Blok KW3