Partial Differential Equations
Faculteit  Science and Engineering 
Jaar  2019/20 
Vakcode  WIPDV07 
Vaknaam  Partial Differential Equations 
Niveau(s)  bachelor 
Voertaal  Engels 
Periode  semester I a 
ECTS  5 
Rooster  rooster.rug.nl 
Uitgebreide vaknaam  Partial Differential Equations  
Leerdoelen  1. To be able to reproduce the following basic notions, to be able to give examples of them, and to be able to use them for understanding the behavior of PDEs: existence, uniqueness, stability and wellposedness of initial and boundary value problems; classification of PDEs (linear, nonlinear, hyperbolic, parabolic, elliptic), maximum principles. 2. To be able to reproduce and apply analytical methods to solve PDEs: characteristics, change of variables, separation of variables, Fourier series and Fourier integrals, Green's functions. 3 To be able to reproduce the main theorems from the textbook and to be able to apply them. To be able to reproduce the proofs of the main results and to be able to apply them with necessary modifications to similar situations. 4 To be able to solve (elementary) problems which are directly or closely related to the material taught in the course. 

Omschrijving  Problems in physics are in general modelled in terms of PDEs such as the wave equation, the diffusion equation, and the Laplace equation. In this course the basic notions for PDEs will be treated, including classification of PDEs, uniqueness of solutions, and wellposedness. The course will focus on analytical methods to solve PDEs, including the method of characteristics, separation of variables, Green’s functions, and Fourier series.  
Uren per week  
Onderwijsvorm  Hoorcollege (LC), Werkcollege (T)  
Toetsvorm 
Opdracht (AST), Schriftelijk tentamen (WE), Tussentoets (IT)
(The final grade is F if F=<4.5 and max(F, 0.75F+0.25M, 0.75F+0.25H, 0.6F+0.2M+0.2H) otherwise. Here H is the average of the best 4 out of 5 homework assignments, M is the grade of the midterm exam, and F is the grade of the final exam. ME and H do not count for the reexam.) 

Vaksoort  bachelor  
Coördinator  dr. M. Seri  
Docent(en)  dr. M. Seri , A.M.S. Waters, PhD.  
Verplichte literatuur 


Entreevoorwaarden  Background knowledge from Ordinary Differential Equations is required  
Opmerkingen  
Opgenomen in 
