** Exam einsicht **

Students have an opportunity to inspect their exam and its correction on **Tuesday 25 April, 13:30-15:00 in Hörsaal am Fasanengarten.**

Please note that you will be able to get your exam as an exchange of your student ID.

** Exam information **

To register for the exam, use the student portal. It is necessary to have achieved the requirements from the Advanced Mathematics I problem sessions to be able to sign up.

**Please note the following deadlines:**

- Registration:
**until 13.02.2017** - It is possible to cancel the registration online during the registration period. For later cancellations, please see the staff at the institute.

# Details regarding the Exam

**Date:** | Saturday, 18.02.2017 |

**Begin:** | 9:00 am |

**End:** | 11:00 am |

The exam takes place in a number of lecture halls. The seating arrangements will be published.

Please be at your allocated seat about ten minutes before the starting time so that we can start on time.

Bring your student ID card with you as we have to check who is present.

Bring a reasonably strong **stapler** to staple your exam papers before handing them in.

## Allowed resources

You may bring and use the following resources during the exam:

- the printed lecture notes including your own notes, but no additional pages
- a handbook of formulae
- one additional mathematical work

Regarding the last two points: Works without an ISBN have to be checked and signed by one of the examiners on the day prior to the exam at the latest (use the official office hours).

In particular, it is not allowed to use a calculator.

Paper will be brought by us and will be available in any required quantity.

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

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

### Problem Sheets

A problem sheet will be published each Monday on this webpage.

- Sheet No. 1 (sets, summation, binomial coefficients, induction, complex numbers) Lösungen
- Sheet No. 2 (polar representation, complex equations, sequences) Lösungen
- Sheet No. 3 (sequences) Lösungen
- Sheet No. 4 (continuity, injectivity, surjectivity and bijectivity of functions) Lösungen
- Sheet No. 5 (Lipschitz continuity, limits, maximum and minimum of functions) Lösungen
- Sheet No. 6 (Series) Lösungen
- Sheet No. 7 (Series and power series) Lösungen
- Sheet No. 8 (Power series, limits and complex equations) Lösungen
- Sheet No. 9 (Summary)Lösungen
- Sheet No. 10 (Differentiation)Lösungen
- Sheet No. 11 (Differentiation, mean value theorem, Taylor polynomial)Lösungen
- Sheet No. 12 (Mean value theorem, Taylor polynomial, integral calculus)Lösungen
- Sheet No. 13 (Integral calculus, elementary differential equations)

Homeworks can be submitted in groups of 2. Solutions written with a pencil are not accepted.

You will have 10 days to solve the problems. The submission deadline is 2 pm sharp on the next Thursday.

The solutions will be corrected and graded by the tutor (Ziyad Sheeba).

If you successfully work on the homework, a testat will be given to you at the end of the semester. Please note the criteria for the testat in the section below!

### Handouts

### Tutorial

There is a student tutorial given by Ziyad Sheeba on Fridays at 2 pm.

In the tutorial, you will practice solving exercises in an interactive manner. You can also ask your questions connected to Lectures or Problem Classes.

### The Testat

You can obtain the testat by getting enough points for your homework solutions. The testat is necessary for you to be admitted to the exam.

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

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

### Examination

There will be a written exam on Saturday, **18 February, 9 - 11 AM.**

The following additives are allowed in the exam:

- the HM-Skriptum including your notes but without any glued addtitional pages
- a formula book
- a mathematical text book

If the formula book or the text book do not have an ISBN number it is required to show it in advance to the examinant at least one day before the exam (please come to the office hours).

In particular, no calculator is allowed.

You are only allowed to take the exam if you obtained the testat (see above)!

### References

General information and some tools for practicing are available on this webpage (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:

- K. F. Riley, M. P. Hobson, S. J. Bence:
*Mathematical Methods for Physics and Engineering*. Cambridge University Press. - K. F. Riley, M. P. Hobson:
*Foundation Mathematics for the Physical Sciences*. Cambridge University Press. - 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