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Course module: NWI-WB046B
NWI-WB046B
Introduction to Partial Differential Equations
Course infoSchedule
Course moduleNWI-WB046B
Credits (ECTS)6
CategoryBA (Bachelor)
Language of instructionEnglish
Offered byRadboud University; Faculty of Science; Wiskunde, Natuur- en Sterrenkunde;
Lecturer(s)
Coordinator
dr. A.Y. Burtscher
Other course modules lecturer
Lecturer
dr. A.Y. Burtscher
Other course modules lecturer
Contactperson for the course
dr. A.Y. Burtscher
Other course modules lecturer
Examiner
dr. A.Y. Burtscher
Other course modules lecturer
Academic year2020
Period
KW1-KW2  (31/08/2020 to 24/01/2021)
Starting block
KW1
Course mode
full-time
Remarks-
Registration using OSIRISYes
Course open to students from other facultiesYes
Pre-registrationNo
Waiting listNo
Placement procedure-
Aims
  • The student is able to work with partial differential equations, as well as 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.
Content
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 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, the maximum principle for elliptic equations etc. Furthermore, nonlinear partial differential equations of first order will be considered and studied via the method of characteristics.
Level

Presumed foreknowledge
A solid understanding of linear algebra, calculus, analysis and to some extent ordinary differential equations is required.
Test information
written or oral exam depending on the number of participants
Specifics

Level
wisk keuze3
Recommended materials
Book
ISBN:978-0-8218-4974-3
Title:Partial Differential Equations
Author:Lawrence C. Evans
Publisher:American Mathematical Society, 2010
Edition:2
Book
ISBN:978-1-4704-4292-7
Title:A Course on Partial Differential Equations
Author:Walter Craig
Publisher:American Mathematical Society, 2018
Instructional modes
Course occurrence

Lecture

Tutorial

Zelfstudie

Tests
Exam
Test weight1
Test typeExam
OpportunitiesBlock KW2, Block KW3

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Kies de Nederlandse taal