## Latest news

Welcome to the course! The schedule for the course can be found in TimeEdit.

The course starts on Monday, Jan 21, at 13.15 in room MVF26.

**The lecture on March 5 is cancelled!**

## Teachers

**Course coordinator: **Håkan Samuelsson Kalm,
hasam"at"chalmers.se,

**Teaching assistants:**

**Lab supervisor:**

## Course literature

"Lecture notes on Distributions" by Hasse Carlsson; can be found on Hasse's
web page.

English-Swedish mathematical dictionary

## Program

##### We'll meet 3 times a week; Mondays 13.15-15.00 in MVF26, Tuesdays 10.00-11.45 in MVF26, and Thursdays 13.15-15.00 In Euler.

##### The meetings will consist of lectures and exercise sessions.

#### Preliminary schedule

Week |
Chapters | Contents |
---|---|---|

v. 4 |
1-3 |
general introduction, test functions, def of distributions, operations on distributions |

v. 5 |
4-6 |
finite parts, fundamental solutions of some PDE's, support of a distribution |

v. 6 |
7-8 |
convergence and convolution of distributions |

v. 7 |
9-10 |
fundamental solutions, Fourier transform |

v. 8 |
11-12 |
the Fourier transform and convolutions |

v. 9 |
13-14 |
Paley-Wiener's theorem, existence of fundamental solutions |

v. 10 |
15-17 |
fundamental solutions of elliptic differential operators,
Fourier series Applications |

## Computer labs

#### Reference literature:

**Learning MATLAB**, Tobin A. Driscoll *ISBN: 978-0-898716-83-2
(The book is published by SIAM). *

## Course requirements

The learning goals of the course can be found in the course plan.

## Assignments

Hand-in exercises:

Set 1 Deadline: February 8, 2019

Set 2 Deadline: February 22, 2019

Set
3 Deadline: March 8, 2019

## Examination

To pass the course you should hand in the three sets of exercises and
pass a written and oral exam.

## Examination procedures

In Chalmers Student Portal you can read about when exams are given and what rules apply on exams at Chalmers. In addition to that, there is a schedule when exams are given for courses at University of Gothenburg.

Before the exam, it is important that you sign up for the examination. If you study at Chalmers, you will do this by the Chalmers Student Portal, and if you study at University of Gothenburg, you sign up via GU's Student Portal, where you also can read about what rules apply to examination at University of Gothenburg.

At the exam, you should be able to show valid identification.

After the exam has been graded, you can see your results in Ladok by logging on to your Student portal.

**At the annual (regular) examination: **

When it is practical, a separate review is arranged. The date of the
review will be announced here on the course homepage. Anyone who can not
participate in the review may thereafter retrieve and review their exam
at the Mathematical
Sciences Student office. Check that you have the right grades and
score. Any complaints about the marking must be submitted in writing at
the office, where there is a form to fill out.

** At re-examination: **

Exams are reviewed and retrieved at the Mathematical
Sciences Student office. Check that you have the right grades and
score. Any complaints about the marking must be submitted in writing at
the office, where there is a form to fill out.

## Old exams