### Advanced Mathematics II (Summer Semester 2010)

- Lecturer: PD Dr. Gudrun Thäter
- 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,
- an additional mathematical work.

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

# References

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.