Lehrstuhl A für Mathematik, RWTH Aachen

Analysis und Zahlentheorie

Prof. Dr. A. Krieg

Calculus and Linear Algebra, WS 2008

Welcome to the webpage of the course »Calculus and Linear Algebra for Biomedical Engineering « in WS 2008.

Information regarding the final exam

The results of the exam are available here.

Office hours for H. Führ and D. Meierling will be held during the two weeks before the exam. See below for the precise times.

First year students are automatically registered for the final exam. For deregistration, send a short email containing your student ID number, to, before March 7. Not showing up for reasons other than deregistration and/or health reasons will be considered as failing the exam .
Students from higher semesters are required to register (by the same procedure as deregistration for first year students).

The final exam will take place on Friday, March 13, in Room 1820|202 (Eilfschornstraße 15), starting at 9:30 am. The scheduled time for the exam is two hours.
Each student is allowed to bring two A4 sheets of handwritten notes for use in the exam. No further material is allowed. Please use a pen or ballpoint pen for writing (no red color).
You will be required to show a valid ID or passport, and a current confirmation of enrolment.

Current events

The second test, carried out on Thursday, Jan. 8, can be found here, with answers here.

The tutorial on Thursday, January 15, has to be cancelled.

The little test carried out on Monday, Nov. 17, can be found here, with answers here.

The tutorial on Thursday, Nov. 20, has to be cancelled.

The tutorials have been switched to Thursdays, 5:45 pm. See below for the precise coordinates.

First lecture: Thursday, October 16, 2008.

Structure of the course

The course consists of lectures and exercise sessions. The lectures present the various topics in a theoretical manner, together with examples illustrating the theory.
More examples are treated in the exercise sessions and on the worksheets. The solutions will not be graded.
Besides the lectures and exercise sessions, we offer additional tutoring sessions.

Weekly schedule

Time Time Room
Lecture Mondays, 14:15–15:45 1270|109 (EA)
Tutoring (A. Schmitz) Thursdays, 17:45–19:15 SG 202
Lecture Thursdays, 11:45–12:30 SG 23
Exercise Session (D. Meierling) Thursdays, 12:30–13:15 SG 23

Course material

The course material consists of slides to the lectures, and worksheets. Both can be downloaded from this website. We strongly recommend to read the slides before the lectures, as a means of preparation. We further recommend the use of additional literature, in particular the script "Calculus and linear algebra for engineers and natural scientists", by S. Orfao and G. Jank. Hardcopies of the script (ca. 450 pages) are available upon request.


Topic(s) Slides
Week 0 Mathematical basics: Sets, numbers, etc. pdf-file
Week 1 Complex numbers and trigonometric functions pdf-file
Week 2 Linear algebra and analytic geometry pdf-file
Week 3 Matrices, systems of linear equations and the Gauss algorithm pdf-file
Week 4 Inverse matrices and determinants pdf-file
Week 5 Sequences, series and limits pdf-file
Week 6 Functions and graphs pdf-file
Week 7 Continuous functions pdf-file
Week 8 Differentiable functions pdf-file
Week 9 Applications of differentiability pdf-file
Week 10 Power series pdf-file
Week 11 The Riemann integral and its properties pdf-file
Week 12 Integration techniques pdf-file
Week 13 Extensions of the Riemann integral pdf-file
Week 14 Review of selected topics pdf-file


PDF file Postscript file
Worksheet 1 Worksheet 1
Worksheet 2 Worksheet 2
Worksheet 3 Worksheet 3
Worksheet 4 Worksheet 4
Worksheet 5 Worksheet 5
Worksheet 6 Worksheet 6
Worksheet 7 Worksheet 7
Worksheet 8 Worksheet 8
Worksheet 9 Worksheet 9
Worksheet 10 Worksheet 10
Worksheet 11 Worksheet 11
Worksheet 12 Worksheet 12
Worksheet 13 Worksheet 13
Worksheet 14 Worksheet 14


We encourage you to contact us during office hours.

Dr. Dirk Meierling

Office Telephone Email Office hours
Seminargebäude, Raum 21 80-95086 Tuesdays, 14:00-16:00

Prof. Dr. Hartmut Führ

Office Telephone Email Office hours
Schinkelstraße 4, Raum 38 80-94527 Thursdays, 13:30–14:30
Lehrstuhl A für Mathematik
Valid XHTML 1.1!