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Advanced Mathematics II (Summer Semester 2011)

This is the homepage for class in Advanced Mathematics II in the summer semester 2011.

Lecture: Tuesday 14:00-15:30 ID SR Raum 203
Wednesday 8:00-9:30 ID SR Raum 203
Problem class: Thursday 9:45-11:15 ID SR Raum 202
Lecturer PD Dr. Frank Hettlich
Office hours: Wednesday 10:30am - 12am and on appointment
Room 1.042 Kollegiengebäude Mathematik (20.30)
Email: frank.hettlich@kit.edu
Problem classes Dr. Janina Stompe
Office hours:
Room 1.048 Kollegiengebäude Mathematik (20.30)
Email: janina.stompe@kit.edu


The Topics of the lecture are:

  • vector spaces
  • differential equations
  • the Laplacetransformation
  • vector valued functions in several variables


The tutorials take place on tuesday, 17:30-19:00.

Problem Sheets

In the summer semester 11 problem sheets will be handed out, containing problems that are relevant for the exam. The problem sheets will be handed out in class. However, but you can also download them here in the PDF format.

Sheet Solutions DateDue Topics
1st Sheet solution1 12.04.201121.04.2011 elementary differential equations
2nd Sheet solution2 21.04.201129.04.2011 linearly dependent, basis, dimension
3rd Sheet solution3 28.04.201106.05.2011 Euclidian vector spaces, linear maps
4th Sheet solution4 05.05.201113.05.2011 Linear map, matrix calculus
5th Sheet solution5 12.05.201120.05.2011 determinants, change of bases
6th Sheet solution6 19.05.201127.05.2011 eigenvalues, eigenvectors
7th Sheet solution7 26.05.201103.06.2011 Euler differential equation, reduction of the order
8th Sheet solution8 31.05.201110.06.2011 linear systems, Wronskian, method of undetermined coefficients
9th Sheet solution9 09.06.201117.06.2011 variation of the constants, power series method
10th Sheet solution10 16.06.201124.06.2011 parameter integrals, Laplace transform, numerics for ODEs
11th Sheet solution11 21.06.201101.07.2011 Laplace transform, initial value problems, convolution theorem
12th Sheet solution12 30.06.201108.07.2011 convolution, vector valued functions
13th Sheet solution13 07.07.2011 --- some examples

The testat

If you attend succefully the problem session, you will get a testat (Pruefungsvorleistung). There will be 11 problem sheets containing problems that are relevant for the exam. These will be corrected by your tutor. Only the sheets 1 to 10 will count for the testat which is a requirement for participating in the exam. To gain the testat, at total of 125 points has to be achieved from sheets 1 to 10. Furthermore, on 8 of these sheets, a minimum of 5 point is required.

Additional material


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).
  • K. Burg, H. Haf, F. Wille: Höhere Mathematik für Ingenieure. Volumes I-III. Teubner Verlag, Stuttgart (in German).
  • J. Stewart: Calculus, Early Transcendentals. Brooks/Cole Publishing Company.
  • G. James: Advanced Modern Engineering Mathematics. (4th edition) Pearson, 2011.