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 next AMI exam will take place on September 9th 2020, 9-11am. Please register in the campus system.

*Theorem 5.10* in the lecture notes and the definiton above (page 32) are a little bit inconsistent.

As announced in the lecture, I uploaded a new version here:

### Exercise Sheets

An exercise sheet will be published each Friday on this webpage. The due date will be 10 days later, i.e. on the following Monday, 12p.m.

You can hand in your solutions at the beginning of the problem class or put them in a green box labelled "Advanced Mathematics 1" in the atrium of the math building (20.30).

Please staple your solutions together and make sure your name is on every page you submit.

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.

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!

### 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 are student tutorials given by Harsh Yadav and Dhruvin Dalal. In the tutorial you will practice solving exercises in an interactive manner. You can also ask your questions connected to lectures or problem classes.

Group A: Room SE 101

Group B: Room SE 203

### 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.