### Advanced Mathematics II (Summer Semester 2016)

- Lecturer: PD Dr. Gudrun Thäter, Torsten Ueckerdt
- Classes: Lecture (0120010), Problem class (0120020)
- Weekly hours: 4+2

This lecture is mandatory for students enrolled in the International program in Mechanical Engineering at the Carl-Benz School of Engineering.

# NEWS

The **exam results** are now posted on the board between rooms 1.041 and 1.042 in the math building.

The **post exam review** takes place on Thursday, October 20 from 4pm to 5pm in Gerthsen HS (building 30.21).

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

Lecture: | Tuesday 9:45-11:15 | ID SR Raum 203 | Begin: 19.4.2016 |

Thursday 15:45-17:15 | ID SR Raum 203 | ||

Problem class: | Monday 9:45-11:15 | ID SR Raum 203 | Begin: 25.4.2016 |

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

Lecturer | PD Dr. Gudrun Thäter | |

Office hours: by appointment | ||

Room 3.023 Kollegiengebäude Mathematik (20.30) | ||

Email: gudrun.thaeter@kit.edu | ||

Problem classes | Torsten Ueckerdt | |

Office hours: | ||

Room Kollegiengebäude Mathematik (20.30) | ||

Email: torsten.ueckerdt@kit.edu |

### Problem Sheets

A problem sheet will be published every Thursday on this webpage. Moreover the printouts will be distributed at the ID.

- Sheet No. 1 --> Solutions
- Sheet No. 2 --> Solutions
- Sheet No. 3 --> Solutions
- Sheet No. 4 --> Solutions
- Sheet No. 5 --> Solutions
- Sheet No. 6 --> Solutions
- Sheet No. 7 --> Solutions
- Sheet No. 8 --> Solutions
- Sheet No. 9 --> Solutions
- Sheet No. 10 --> Solutions
- Sheet No. 11 --> Solutions
- Sheet No. 12 --> Solutions

Students should solve the problems independently, after that they could discuss the solutions in groups. Students are allowed to submit their solutions in pairs. Only handwritten solutions will be accepted.

Please bring your solutions to the Problem Class on Monday, 9:45 am (11 days after the worksheet was published).

The solutions will be corrected and graded by the tutor (Dhruv Singhal). Your graded solutions are available during the tutorial 9 days after submission. For each problem sheet one can obtain 50 points (10 points per exercise). Please note the criteria for the testat in the section below!

### Tutorial

There is a student tutorial given by Dhruv Singhal and Brian Turner every Wednesday (starting on April 27) at 9:45 am in seminar room SE 203.

In the tutorial you will practice solving the exercises and there is room for questions.

### The Testat

If you successfully work on the home work (problem sheets), a testat will be given to you at the end of the semester. This testat is necessary for you to be admitted to the exam.

Please note: The AM II exam is part of the Orientierungsprüfung, which you must complete by the end of the third semester.

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

- Obtain at least 125 points on worksheets 1 to 10. This is 25% of all the total points obtainable (each worksheet is worth 50 points).
- For at least 8 of those worksheets have at least 5 points from each.

### Examination

Please note: The AM II exam is part of the Orientierungsprüfung, which you must complete by the end of the third semester.

The examinations in Advanced Mathematics II will take place on **July 30, 2016**.

For more information visit

http://www.math.kit.edu/ianmip/edu/hm2mach2016s/event/klausurhm2/en

You can buy the copies of old exams and their solutions in:

Fachschaft Maschinenbau/Chemieingenieurwesen

Reinhard-Baumeister-Platz 1, Geb. 10.50

76131 Karlsruhe

Hours:

Mo-Fr 13-14, during the holidays 13-14

Phone: +49 721 608-4 3782

Fax: +49 721 608-4 6605

E-Mail fachschaft@fmc.uni-karlsruhe.de

If you got the testat, you can register for the examination in the Studierendenportal.

UPDATE: **The registration is closed**.

### Additional Material

Below you find material which reviews and complements some of the content from the AM II lecture.

**Caution:** This does **NOT** cover AM II completely! Several aspects taught in the lecture are **NOT** mentioned here. For example, Fourier series are not considered at all, but you should know Fourier series for the exam.

Topic | Material |

bases of vector spaces | (pdf) |

distances between points, lines and planes | (pdf), additional handout from Havard University (pdf) |

geometric linear transforms in 2D | (pdf) |

Gaussian elimination | (pdf) |

the Wronskian | (pdf) |

table of Laplace transforms | (pdf) |

an incomplete review of AM II | (pdf) |

### References

General information and some tools for practicing are available on this wepage (partly in German).

There will be lecture notes for this class, distributed by the ID.

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. - Mathematica demos from Prof. R. Martin homepage