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Advanced Mathematics II (Summer Semester 2010)

This is the homepage for class in Advanced Mathematics II in the summer semester 2010.

Lecture: Tuesday 14:00-15:30 ID SR Raum 203 Begin: 13.4.2010
Wednesday 8:00-9:30 ID SR Raum 203
Problem class: Thursday 9:45-11:15 ID SR Raum 202
Lecturer PD Dr. Gudrun Thäter
Office hours: by appointment
Room 3.023 Kollegiengebäude Mathematik (20.30)
Email: gudrun.thaeter@kit.edu
Problem classes Dr. Susanne Schmitt
Office hours:
Room 4C-02 Allianz-Gebäude (05.20)
Email: susanne.schmitt@kit.edu

Problem Sheets

In the summer semester, 11 problem sheets will be handed out, containing problems that are relevant for the exam. These will also be corrected by your tutor. Only the sheets 1 to 9 are used to for the testat which is a requirement for participating in the exam. For successfully obtaining the testat, at total of 113 points has to be obtained from sheets 1 to 9. Furthermore, on 7 of these sheets, a minimum of 5 point has to be obtained.

The problem sheets will be handed out in class. However, you can also download them here in the PDF format.

Sheet Solutions DateDueTopics
1st sheet solution New! 13.4.201022.4.2010Differential equations: linear, separable, Bernoulli
2nd tut new!, 2nd sheet solution 20.4.201029.4.2010Vectors, basis, dimension, linear independence
3rd sheet solution New! 27.4.20106.5.2010Euclidean vector spaces
4th sheet solution 4.5.201014.5.2010Linear map, matrix calculus
5th sheet solution New! 11.5.201020.5.2010Determinants, coordinate transformation
6th sheet solution 16.5.20102.6.2010Eigenvalues, -vectors, differential equations with constant coefficients
7th sheet solution 1.6.201010.6.2010Euler differential equation, reduction of the order, linear system of differential equations
8th sheet solution 8.6.201017.6.2010Linear system of differential equations, method of undetermined coefficients, method of variation of parameters
9th sheet solution 15.6.201024.6.2010Power series method, numerical methods
10th sheet solution 22.6.20101.7.2010Integrals depending on parameters, Laplace transform
11th sheet solution 29.6.20108.7.2010Laplace transform and differential equations, convolution


At the end of every semester, an examination in Advanced Mathematics II will take place (normally in July/August and in February/March). Having successfully obtained the testat is a requirement for participation.

The following materials may be used during the examination:

  • The lecture notes for AM I and II including your handwritten notes,
  • a handbook of formulae,
  • an additional mathematical work.

Electronic devices (such as a pocket calculator) and collections of exam papers or loose sheets of paper are not allowed.


Besides the lecture notes, we can recommend the following text books

  • T. Arens, F. Hettlich, Ch. Karpfinger, U. Kockelkorn, K. Lichtenegger, H. Stachel: Mathematik. Spektrum Akademischer Verlag, Heidelberg (in German).
  • J. Stewart: Calculus, Early Transcendentals. Brooks/Cole Publishing Company.
  • K. Burg, H. Haf, F. Wille: Höhere Mathematik für Ingenieure. Volumes I-III. Teubner Verlag, Stuttgart (in German).
  • E. Kreyszig: Advanced Engineering Mathematics. John Wiley & Sons.
  • E.W. Swokowski, M. Olinick, D. Pence, J.A. Cole: Calculus. PWS Publishing Company. Boston.