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.

### Announcement

The final exam will take place on 23.02.2019 9:00-11:00, place TBA.

Register for the prerequisites in Campus system between 16.01.2019 and 26.01.2019.

Register for the exam in Campus system between 1.02.2019 and 18.02.2019.

### Exercise Sheets

An exercise sheet will be published each week on this webpage.

Students should solve the problems and write down solutions independently and also should discuss the solutions in groups.

Only handwritten solutions will be accepted. Please do not use a pencil! The solutions will be corrected and graded by the tutor (Altay Kaçan).

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

### Solutions

### 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 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.
- Pass the
**midterm test**.

- You need to register for the testat (prerequisites).

### Tutorial

There is a student tutorial given by Altay Kaçan and YueYang Cai. In the tutorial you will practice solving exercises in an interactive manner. You can also ask your questions connected to lectures or problem classes.

### Supplementary Problems

These are some extra problems for practice which the TA Casey Tompkins is happy to discuss. They are not mandatory and not to be submitted!

### Examination

- There will be a written exam.

- The exam will be
**closed book**, the only material allowed is one handwritten page of notes.

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

### References

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.