### Advanced Mathematics II (Summer Semester 2010)

• Lecturer:
• Classes: Lecture (3102001), Problem class (3102002)
• Weekly hours: 4+2

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

Schedule
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
Lecturers
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 Date Due Topics 1st sheet solution New! 13.4.2010 22.4.2010 Differential equations: linear, separable, Bernoulli 2nd tut new!, 2nd sheet solution 20.4.2010 29.4.2010 Vectors, basis, dimension, linear independence 3rd sheet solution New! 27.4.2010 6.5.2010 Euclidean vector spaces 4th sheet solution 4.5.2010 14.5.2010 Linear map, matrix calculus 5th sheet solution New! 11.5.2010 20.5.2010 Determinants, coordinate transformation 6th sheet solution 16.5.2010 2.6.2010 Eigenvalues, -vectors, differential equations with constant coefficients 7th sheet solution 1.6.2010 10.6.2010 Euler differential equation, reduction of the order, linear system of differential equations 8th sheet solution 8.6.2010 17.6.2010 Linear system of differential equations, method of undetermined coefficients, method of variation of parameters 9th sheet solution 15.6.2010 24.6.2010 Power series method, numerical methods 10th sheet solution 22.6.2010 1.7.2010 Integrals depending on parameters, Laplace transform 11th sheet solution 29.6.2010 8.7.2010 Laplace transform and differential equations, convolution

# Examination

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,