Analysis und Zahlentheorie
Prof. Dr. A. Krieg
Welcome to the webpage of the course »Calculus and Linear Algebra for Biomedical Engineering « in WS 2007.
The results of the final exam are available upon request.
The corrected exams can be inspected on Tuesday, March 25, in Room 1810|012 (Seminargebäde), between 10:00 and 11:00.
The answers to the worksheets are available in hard copy. Please contact Dirk Meierling.
First year students are automatically registered for the final exam. For deregistration, send a short
email containing your student ID number, to
fuehr@matha.rwth-aachen.de, before March 8. 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 14, 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.
A copy of the quiz conducted on Thursday, Jan. 17, can be found here . A version with answers and performance statistics can be found here .
A copy of the little quiz conducted on Thursday, Nov. 15, can be found here . A version with answers and performance statistics can be found here .
Part 2 of the script is now available in hardcopy at the main office of Lehrstuhl A.
Thursday, November 1, is a holiday. You can submit your homework on Friday, November 2, in Dirk Meierling's office, SG 21.
First lecture: Thursday, October 18, 2007.
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 students are encouraged to submit their solutions to the worksheets for grading.
The usual submission deadline is Thursdays, before the lecture.
The chief purpose of the grading is to provide feedback, no credits can be earned by submitting the solutions.
Besides the lectures and exercise sessions, we offer additional tutoring sessions.
Time | Time | Room |
---|---|---|
Lecture | Mondays, 14:15–15:45 | 1270|109 (EA) |
Tutoring (D. Meierling, G. Tschöp) | Tuesdays, 13:30–15:00 | SG 23 |
Lecture | Thursdays, 11:45–12:30 | SG 23 |
Exercise Session (D. Meierling) | Thursdays, 12:30–13:15 | SG 23 |
The course material consists of a script, slides of the lectures, and worksheets. The script is made available in hardcopy to the students, the slides and worksheets can be downloaded from this website. The script contains the topics covered in the lectures, and additional material that we strongly recommend you to read. This additional material will occasionally be treated in the worksheets.
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, linear systems of equations and the Gauss algorithm | pdf-file |
Week 4 | Sequences, series and their limits | pdf-file |
Week 5 | Functions and graphs | pdf-file |
Week 6 | Continuous functions and their properties | pdf-file |
Week 7 | Differentiable functions and their properties | pdf-file |
Week 8 | Applications of differential calculus: Extreme values, qualitative analysis of functions | pdf-file |
Week 9 | Power series and the exponential function | pdf-file |
Week 10 | The Riemann integral and its properties | pdf-file |
Week 11 | Integration techniques: How to compute integrals | pdf-file |
Week 12 | Generalizations of the Riemann integral | pdf-file |
Week 13 | Review of selected topics | pdf-file |
Submitted solutions to worksheets are graded. The grading is solely for information purposes.
We encourage you to contact us during office hours (see below).
Office | Telephone | Office hours | |
---|---|---|---|
Seminargebäude, Raum 21 | 80-95086 | meierling@math2.rwth-aachen.de | Wednesdays, 16:00-18:00 |
Office | Telephone | Office hours | |
---|---|---|---|
Schinkelstraße 4, Raum 38 | 80-94527 | fuehr@matha.rwth-aachen.de | Thursdays, 13:30–14:30 |