### Advanced Mathematics II (Summer Semester 2009)

- Lecturer: PD Dr. Frank Hettlich
- Classes: Lecture (31001), Problem class (31002)
- Weekly hours: 4+2

This lecture is mandantory for students enrolled in the International program in Mechanical Engineering at the International Department. This is the english class of the lecture Höhere Mathematik II für die Fachrichtungen BIW, CIW, Mach, MaGe, VT.

Schedule | ||
---|---|---|

Lecture: | Tuesday 14:00-15:30 | ID SR Raum 202 |

Wednesday 8:00-9:30 | ID SR Raum 202 | |

Problem class: | Thursday 9:45-11:15 | ID SR Raum 202 |

Lecturers | ||
---|---|---|

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. Andreas Helfrich-Schkarbanenko Dr. | |

Office hours: | ||

Room Kollegiengebäude Mathematik (20.30) | ||

Email: |

# Lecture & Problem Session

This course includes three different components:

- In the
**lecture**you learn about new topics. For this part of the course there exists a bilingual scriptum, which you may use during the exam. The scriptum will be handed out to you in the lecture. - In the
**problem session**examples corresponding to the topics of the last week will be illustrated. By these examples it should be possible for you to work on the weekly assigned homeworks. - Additionally we offer a
**tutorial**, where a tutor (a student from a higher semester) discusses problems with you. This tutor will also correct your homework.

# FAQ

Here you find a list of frequently asked questions for AMII in German.

# Worksheets

Every week you will get a new worksheet with 5 problems. On any problem you can get up to 10 credit points. Your solutions must be handed to your tutor by the next week

During the semester you will find more information on problems here.

Sheet | Solutions | Date | Due | Topics |

1st sheet | solutions | 21.04.09 | 30.04.09 | Elemmentary differential equation |

2nd sheet | solutions | 28.04.09 | 7.05.09 | Vector spaces |

3rd sheet | solutions | 5.05.09 | 14.05.09 | Linear maps and matrices |

4th sheet | solutions | 12.05.09 | 20.05.09 | Theory of solving linear systems, Determinants |

5th sheet | solutions | 19.05.09 | 28.05.09 | Eigenvectors and eigenvalues |

6th sheet | solutions | 27.05.09 | 4.06.09 | Homogeneous linear DE of n-th order |

7th sheet | solutions | 2.06.09 | 11.06.09 | Linear systems of differential equations |

8th sheet | solutions | 9.06.09 | 18.06.09 | Inhomogeneous differential equations |

9th sheet | solutions | 16.06.09 | 25.06.09 | The power series method |

10th sheet | solutions | 23.06.09 | 2.07.09 | Laplace-transform, Application on initial value problems |

11th sheet | solutions | 30.06.09 | 9.07.09 | Integrals depending on parameters, Convolution |

12th sheet | solutions | 7.07.09 | 16.07.09 | Vector valued functions of several variables, Differentiability |

# Problem Class

01 3rd and 4th exercises 02 4th exercise 03 3rd exercise, part d 04 4th exercise 06 3rd and 4th exercises 07 3rd exercise 10 5th exercise 11 4th exercise 12 4th exercise 13 3rd and 4th exercises

# Tutorial

Monday,3:45p.m.-5:15p.m., ID SR Raum 202

# Maple - Worksheets

In addition to the Advanced Mathematics lectures and the textbook (German) there are Maple Worksheets available. You can download each worksheet as ".mw" files and work on it on your computer.

# Examination

The exam in Advanced Mathematics I takes place in February/March, and in Advanced Mathematics II in August. It is also possible to write both exams in August. The two exams are graded together, so that you don't get a grade directly after the first exam in Advanced Mathematics in March. However, the points that you got on this exam will be announced and considered for the final grade after the exam in Advanced Mathematics II.

To participate in the final exam, you have to be granted an attestation for: (*The numbers below are last years values, they may change.*)

- achieveing
**at least**125 points on the worksheets from 1 to 10. This is 25% of all the points you can get (each worksheet is 50 points worth) - having
**at least 5 points**on**8**of those worksheets.

This attestation will be given to you by your tutor at the end of the first semester.

# References

Besides the scriptum we can recommend the following

**text books**

- T. Arens, F. Hettlich, Ch. Karpfinger, U. Kockelkorn, K. Lichtenegger, H. Stachel: Mathematik. Spektrum Akademischer Verlag, Heidelberg, 2008 (in German).
- J. Stewart: Calculus, Early Transcendentals, Brooks/Cole Publishing Company.
- K. Burg, H. Haf, F. Wille: Höhere Mathematik für Ingenieure. Band~I-III. Teubner Verlag, Stuttgart.
- E. Martensen: Analysis I--III. BI Hochschultaschenbücher. Wissenschaftsverlag Mannheim/Leipzig/Wien/Zürich.
- L. Papula: Mathematik für Ingenieure, Band 1-3. Vieweg Verlag, Braunschweig

**formularies**

- I.N. Bronstein, K.A. Semendjajew: Taschenbuch der Mathematik. Teubner Verlag, Stuttgart (ab 25. Auflage).
- H. Stöcker: Taschenbuch Mathematischer Formeln und Moderne Verfahren. Verlag Harri Deutsch, Frankfurt, 1993.

**collection of problems**

- P. Furlan: Das gelbe Rechenbuch 1-3 für Ingenieure, Naturwissenschaftler und Mathematiker. Verlag M. Furlan, Dortmund.
- G. Merziger, T. Wirth: Repetitorium der höheren Mathematik. Binomi Verlag, Springe.