Lectures


Recommended exercises (will appear soon on gradual basis)

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

A good knowledge of Fourier analysis, distribution theory and pde is helpful, however, not required.

The assignments are titled FFT, Introduction to Wavelets, and Image Compression. The software program Matlab with tool-boxes is accessible within the student computer system. Click for downloads:

• FFT manual in pdf; Please try different signals (e.g. sums of a few sine and cosines) to try out filtering.
  For the high- and low-pass filters you may use H and G of the first example on page 48 in the lecture notes.
  Here is an example on how to work with Assignement 1.
• Introduction to Wavelets manual in pdf
  (and to carry out the lab you will also need to download the file signals.mat);
• Image Compression manual in pdf
  
• Some necessary files are available in the directory Lab3 and some additional course files).
  
  Notice: You need to hand in solutions for assignments 1 and 3. You do not need to hand in assignment 2.
  However, to prepare for assigment 3, it is useful that you are familiar with assignment 2.
  You may work in a group of two persons or individually. All hand-in shall be composed for the group or the individual person. (However, when working with the assignments, cooperation among the groups is encouraged.) The hand-ins should be delivered in the form a pdf-file sent to the examinor no later than the date of the written exam. The reports should be sufficiently complete to be read independently.

The examination will be based on the hand-in from three computer assignments, together with a written examination.

Written examination:

There will be three opportunities to sit the written examination. Please consult the Student Portal for exact dates and location.

The written examination consists of five problems, with a maximum credit of 5 points per problem. At least 12 points are required to pass the examination. The duration of the exam is four hours. Bring ID and receipt for your student union fee.

You should be able to state and explain all definitions and theorems given in the course and also apply them in problem solving.
During the exam the following aids are permitted: course litterature, lecture notes and calculator.

You will be notified the result of your exam by email from LADOK (This is done automatically as soon as the exams have been marked an the results are registered). The exams will then be kept at the students' office in the Mathematical Sciences building. Check that the number of points and your grade given on the exam and registered in LADOK coincide. Complaints of the marking should be written and handed in at the office. There is a form you can use, ask the person in the office.).

In Chalmers Student Portal you can read about when exams are given and what rules apply on exams at Chalmers.
At the exam, you should be able to show valid identification.
Before the exam, it is important that you report that you want to take the examination. You do this at Chalmers Student Portal.

Notice of result is obtained only by email via Ladok. (Not verbally at study expedition.) This is done automatically when the results are registered. Check that you have the right grades and score.

At the annual examination:
When it is practical a separate review is arranged. The date of the review will be announced here on the course website. Anyone who can not participate in the review may thereafter retrieve and review their exam on Mathematical sciences study expedition, Monday through Friday, from 9:00 to 13:00. 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 picked up at the Mathematical sciences study expedition, Monday through Friday, from 9:00 to 13:00. Any complaints about the marking must be submitted in writing at the office, where there is a form to fill out.

Click to download some previous examination papers, with suggested solutions (please note: these should be regarded as exercises only, and not as prototypes for the examination papers to come):
The December '06 paper in pdf; solutions in pdf.
The January '07 paper in pdf; solutions in pdf.
The August '07 paper in pdf; solutions in pdf.
The December '07 paper in (pdf) The December '07 paper in pdf;
The December 2010 exam with solutions in (pdf)
The December 2012 exam with solutions in (pdf)
The April 2013 exam with solutions in (pdf)