Partial differential equations

Introduction

Partial differential equations (PDEs) are fundamental to the modeling of natural phenomena arising in various fields of science such as heat conduction, elasticity, electrodynamics, fluid flow, chemical reaction, quantum mechanics or Black-Scholes option pricing model in mathematical finance... Study on PDEs therefore plays an important role in applications concerning many different fields.

The aim of this course is to give an introduction to the theory of PDEs. We first recall some necessary basic tools. Then, a detailed study on some important PDEs, namely Laplace's equation, the heat equation and the wave equation are given. These serve as archetypes and motivation for the further study on the more complicated PDEs.

Lecture Team

Lecturer: Prof. Dr. Friedmar Schulz
Exercise instructor: <link en mawi analysis members dr-nguyen-kim-hang-le internal-link internen link im aktuellen>Dr. Kim-Hang Le

Extent

  • ECTS credits: 9
  • Hours per week: 4+2

Examination

There will be a writting examination (schriftliche prüfung) at the end of the semester. There will not be an oral exam.

No prerequisites are necessary for exam registration.

We offer two examinations, the first at the end of this summer semester and the second before the beginning of the next winter semester:

  • Saturday, 22.07.2017         9:30-11:30,  N24/H11
  • Monday, 09.10.2017           9:30-11:30,  N24/H11

Times and rooms

  • Lecture (starting on 18.04.17)
    • Monday 12:00–14:00:      He18, 120
    • Tuesday 14:00–16:00:      He18, E60
  • Exercises (starting on 21.04.17)
    • Friday 10:00–12:00:          He18, E20

Please enroll in Moodle!

Exercise sheets

References

[1] L. Evans, Partial Differential Equations, American Mathematical Society

[2] M. Renardy, R. Rogers, An Introduction to Partial Differential Equations, Springer

[3] F. Sauvigny, Partielle Differentialgleichungen der Geometrie und der Physik, Springer