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Institute for Applied and Numerical Mathematics 4: Numerical Simulation, Optimization and High Performance Computing

Kollegiengebäude Mathematik (20.30)
Room 3.039

Karlsruher Institut für Technologie (KIT)
Institut für Angewandte und Numerische Mathematik
Englerstrasse 2
76131 Karlsruhe

Office hours:

Tel.: +49 721 608 - 42062

Fax.: +49 721 608 - 44178

Advanced Mathematics I (Lecture) (Winter Semester 2015/16)

Lecturer: PD Dr. Gudrun Thäter, Jonathan Rollin
Classes: Lecture (0140000), Problem class (0150000)
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.

Lecture: Tuesday 14:00-15:30 ID SR Raum 203 Begin: 22.10.2015
Thursday 9:45-11:15 ID SR Raum 203
Problem class: Monday 9:45-11:15 SR 602 (Building 10.50) Begin: 26.10.2015
Lecturer PD Dr. Gudrun Thäter
Office hours: by appointment
Room 3.023 Kollegiengebäude Mathematik (20.30)
Email: gudrun.thaeter@kit.edu
Problem classes Jonathan Rollin
Office hours: whenever I am in my office
Room 1.039 Kollegiengebäude Mathematik (20.30)
Email: jonathan.rollin@kit.edu

Problem Sheets

A problem sheet will be published each Thursday on this webpage. Moreover printouts are available in the students office on Friday.

Students should solve the problems independently, after that they could discuss the solutions in groups. 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. For each problem sheet one can obtain 50 points (10 points per exercise). Please note the criteria for the testat in the section below!


There is a student tutorial given by Dhruv Singhal.

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 I 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.


There is be a written exam on Saturday, February 20, 9 - 11 AM.

In order to take the exam it is necessary to obtain the testat (see above)!

Please note the information regarding the exam.


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

  • 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