Analysis III D-BAUG

Lectures and exercise classes

Lectures take place on Tuesdays 10-12 in HIL E 4, starting on Tuesday 15.9.2015.

Weekly exercise classes are held in six groups on Mondays 13-14 and Mondays 14-15 (see below for more information). The enrollment for the exercise classes is done online. All students enrolled for the course in http://www.mystudies.ethz.ch/ will receive a link by email to register for the exercise groups. The first exercise class takes place on Monday 21.9.2015

The (optional) midterm is on Tuesday 27.10.2015.

Lecturer: Dr. Menny Akka Ginosar

Course coordinators: Dániel Korándi and Pedro Vieira

Overview

We will model and solve scientific problems with partial differential equations. Differential equations which are important in applications will be classified and solved. Elliptic, parabolic and hyperbolic differential equations will be treated. The following mathematical tools will be introduced: Laplace and Fourier transforms, Fourier series, separation of variables, methods of characteristics.

Contents

• Classification of partial differential equations
• Study of the Heat equation general diffusion/parabolic problems using the following tools:
  - Separation of variables
  - Fourier series
  - Fourier transform
  - Laplace transform
• Study of the wave equation and general hyperbolic problems using similar tools and the method of characteristics.
• Study of the Laplace equation and general elliptic problems using similar tools and generalizations of Fourier series.

Homework exercises

You receive weekly exercise sheets via the taskbase platform. This includes some multiple choice questions that you can answer online.

Looking at previous exam questions can also be helpful for preparation. Past exams of similar courses can be found here and here (nethz login) in German.

EduApp

During the lectures we will use the ETH EduApp service. You can either install this application on your smartphone or use its web variant from your browser. More information can be found here.

Office hours

The lecturer holds office hours on Mondays 13:15-14:00 and 14:30-15:15 in HG F 26.5 and on Tuesdays after class by appointment.

The TAs hold office hours on Wednesdays 17:00-18:00 in HG D 3.1.

Lecture notes

You can find the lecture notes and relevant course material here.

Literature

We will loosely follow the following books:

Stanley J. Farlow: Partial Differential Equations for Scientists and Engineers
E. Kreyszig: Advanced Engineering Mathematics, Chapters 6, 11 and 12

Two good sources in German are:
Norbert Hungerbühler: Einführung in die partiellen Differentialgleichungen
G. Felder: Partielle Differenzialgleichungen.