Dates for Courses in German:

Dates for Courses in English:

News:

1. On Saturday, 21st February, 20h00-21h00, you should collect your marked examination paper in room 48-436.
2. Information on the Resit Examination in Linear Algebra I
3. Results of the 2nd Examination in Linear Algebra I: Distribution of the Marks - 1st Exam, (Table), Distribution of the Marks (Graphics), Distribution of the Marks (Graphics), Means.
   Minimal Number of Marks: 31 marks = 4, 42 marks =3, 53 marks = 2, 64 marks =1.
   Please note that the final mark of some participants has been raised due to their performance in the example classes.
4. Every Tuesday, 17-19h00, Yaw Adjei Ofosa will be in Room 48-419 to help with problems you have with Singular!

Assingments:

Literature:

	J. Hefferon, Linear Algebra, Lecture Notes (2001)
	P. Cohn, Algebra Vol. I, Wiley (1974)
	W. Greub, Linear Algebra, Springer Verlag (1975)
	S. Lang, Algebra, Springer Verlag (2002)
	G. Fischer, Lineare Algebra, Vieweg Verlag (1998)
	K. Jaenich, Linear Algebra, Springer Verlag (1981)
	W. Klingenberg, Lineare Algebra und Geometrie, Springer Verlag (1990)
	M. Koecher, Lineare Algebra und analytische Geometrie, Springer Verlag (1983)
	E. Brieskorn, Lineare Algebra und analytische Geometrie I, Vieweg Verlag (1983)
	H.-D. Ebbinghaus, et al., Zahlen, Springer Verlag
	T. Keilen, Algebra I, Lecture Notes 2002

The lecture notes Mathematik für Informatiker, 1992/93, by Professor Greuel offer a short compendium of the contents of the lecture, however, omitting all proofs. They are available for purchase from the secretary Mrs. Kranz in room 48-527.

A more complete set of notes, Lineare Algebra I & II, 1999/2000, which also includes most of the contents of the lecture, including the proofs, can be viewed in the library. In the second week of the term we offer the possibility to order a copy of these lecture notes.

General Information:

Throughout the lecture the essential contents of linear algebra will be presented in a systematical way.

Once a week you will receive a set of exercises. These serve as a means to practise the methods of proof shown in the lecture and to recapitulate and understand its contents. The participants of the example classes are encouraged to work together with their fellow students in order to solve the exercises, but each student has to formulate the solution in his own words and hand it in seperately. The solutions will then be marked and discussed throughout the example class meetings.

The support class in linear algebra is a meeting designed purely to answer questions which could not be clarified in the lecture or the example class. The participants are supposed to bring their questions, and we hope to be able to give answers in return - where possible, answers based on examples. Nevertheless, you should not miss any opportunity to ask questions also throughout the lecture and the example classes.

Every participant of the lecture Linear Algebra I should register for one of the example classes and for one of the support classes on Monday, 27th October. This can be done using the web interface available at

Exam Regulations for the Example Classes:

The regulations for the "Vordiplom", the "Zwischenprüfung" respectively the bachelor degree require a certain amount of credits which are obtained by participating successfully in example classes. In order to receive these credits for the lecture Linear Algebra I in the winter term 2003/04, you have to participate regularly in the example classes satisfying the following additional criteria:

1. at least 50% of the exercises have to be done in a sensible (not necessarily correct) way by yourself, and
2. the two written exams in Linear Algebra I have to be passed (the credits for both exams are added).

The credit transcripts for the example class will be so called qualified transcripts, which means that they carry a mark. This mark will be calculated from the results of the two exams. However, if these results are considerably worse than your performance in the example classes, then your mark may be raised by one level. In particular, it is possible that you receive the credits even though you failed the exam! This, however, requires that the solutions which you handed in are clearly your own work and not just copied from somebody else. ("Own work" in this respect does not mean that you found them without cooperating with others, but that you wrote down the solution in your own understanding and your own words, and that you are capable of presenting them to your fellow students.)

1st Exam in Linear Algebra I	:	Saturday, 20th December 2003, 09:00-12:00, Room 42-115
2nd Exam in Linear Algebra I	:	Saturday, 21st February 2004, 09:00-12:00, Room 42-115

Information on Singular:

• Every other set of exercises contains an algorithm which has to be implemented using the programming language Singular, i. e. you have to write a procedure. In order to do this every participant of the example classes creates a Singular Library. The name of the library is the students "Matrikelnummer" followed by the ending lib, e. g. 123456.lib (Clicking on 123456.lib allows to download a template library!) The procedures are stored in this library. You may consult the "Kurzeinführung in Singular" or the Singular-Manual in order to get to know the syntax of a Singular library respectively of a Singular procedure.
  In order to hand in the procedures for marking, you have to follow two steps.
  1. First of all you have to hand in a print out of the procedure into the pigeon hole with the name "Adjei". The print out has to carry your name, your Matrikelnummer and the name of the tutor of your example class.
  2. Moreover, the Singular library has to be handed in as a file. For this purpuse you should download the shell script la and store this script in the same directory as the library. The script will only be executable when you have performed once the following command chmod u+x la Afterwards you may hand in your library using the command ./la 123456.lib where 123456.lib has to be replaced by the name of your own library.
• Singular for Windows Users
  Information on the download and the installation can be found under http://www.mathematik.uni-kl.de/ftp/pub/Math/Singular/WINDOWS/. Alternatively, you may download and execute ONE of the following files Singular-Typical-2-0-4-Typical.exe or Singular-Typical-2-0-3-Custom.exe, where usually the first one is preferable.
• Singular for Linux users - rpm based
  Information on the download and the installation can be found under http://www.mathematik.uni-kl.de/ftp/pub/Math/Singular/UNIX/INSTALL_rpm.html. You should install the following THREE packeges: Singular-2.0.4-3.i386.rpm, Singular-share-2.0.4-3.noarch.rpm und Singular-desktop-2.0.4-3.noarch.rpm.
• Singular for Linux users - without rpm
  Information on the download and the installation can be found under http://www.mathematik.uni-kl.de/ftp/pub/Math/Singular/UNIX/INSTALL_unix.html.
• Some useful hints:
  • In order to transfer files between your private computer and a machine at the maths department, I recommend the programme Winscp2.exe (in case your computer runs Windows). You can download the programme at the site: http://www.rz.uni-freiburg.de/pc/software/winscp/ You only need the file Winscp2.exe. If you execute this programme you will be asked to enter a hostname, a login and a password. As hostname you may choose atlas.mathematik.uni-kl.de (or replace atlas by any other computer name in 48-419). The login and the password are your own login respectively password on the maths computers.