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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 Nijmegen; 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 year2018
Period
KW1-KW2  (03/09/2018 to 27/01/2019)
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 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.
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 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.
Test information
written or oral exam depending on the number of participants
Recommended materials
Book
Title:Partial Differential Equations
Author:Lawrence C. Evans
Publisher:AMS, 2010
Instructional modes
Course occurrence

Lecture

Tutorial

Zelfstudie

Tests
Exam
Test weight1
Test typeExam
OpportunitiesBlock KW2, Block KW3

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