### Advanced Mathematics III (ID) (Winter Semester 2009/10)

- Lecturer: PD Dr. Frank Hettlich
- Classes: Lecture (31006), Problem class (31007)
- Weekly hours: 2+4
- Audience: Mechanical Engeneering (from 3. semester)

This lecture is mandatory for students enrolled in the International program in Mechanical Engineering at the International Department. It is the english class of the lecture Advanced Mathematics I (German) for ciw/biw/vt/mach/mage.

## Current Events

Date | Event |
---|---|

13.3.2010, 9:00 - 11:00 |

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

Lecture: | Thursday 9:45-11:15 | International Department | Begin: 22.10.2009 |

Problem class: | Monday 17:30-19:00 | Gerthsen-Hörsaal | Begin: 22.10.2009 |

Thursday 14:00-15:30 | International Department |

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

Problem classes | Dr. Karsten Kremer | |

Office hours: | ||

Room Allianz-Gebäude (05.20) | ||

Email: |

# Lecture & Problem Session

The new concept of an **independent study course** will be introduced in the first lecture. Besides the review session on Thursday morning there will be a problem session on Thursday afternoon. Additionally we offer a **Saaltutorium** on Mondays from 17.30 to 19.00 Uhr in the Gerthsen lecture hall. During this tutorial course you may work on the problems of the current worksheet. Students and Coworkers will be there to help you and answer your questions.

# Contents

- Differential Calculus in
- The Domain integral
- Vector Analysis
- Partial Differential Equations
- Fourier Analysis
- Introduction on Stochastics

# The testat

If you successfully will attend the problem session, a testat will be given to you by the end of the semester, which is required for the application to the exam.

For the testat, you have to satisfy the following criteria:

- achieveing
**at least**150 points on the worksheets from 1 to 12. This is 25% of all the points you can get (each worksheet is 50 points worth) - having
**at least 5 points**on**10**of these worksheets.

# Worksheets

Every week you will get a new worksheet with 5 problems. On any problem you can get up to 10 credit points.

Worksheet | Solutions |

# Maple Worksheets on AM I, II and III

A collection of Maple worksheets for the lectures AM I, II and III can be found at Worksheets-page (F. Hettlich).

# Examination

The exam in Advanced Mathematics will take place in February/March.

In the exam the use of the following material is allowed:

- The AM I-III scriptum with handwritten notes.
- A printed formula book,
- an additional mathematical text book.

It is not allowed to use any electronical devices (caculator, etc.) and collections of old exams or other material.

# 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).