Mathematics II

for Civil Engineers and others

Summer 2000

Prof. Dr. Volker Enß, Dr. Manfred Fleckenstein

(Times, lecture halls, etc. see VIS)
Deutsche Version.

Exercises for downloading.

Visualization by MAPLE worksheets:

matrix1.mws linear mappings of the plane and eigenvalues/eigenvectors.

kegschn1.mws cones and planes yielding conic sections, kegschn2.mws families of ellipses, hyperbolas, and parabolas.

unstet1.mws illustration of problems with continuity in higher dimensions.

Contents:

The three semester course of mathematics provides the basics and mathematical skills which are needed for the studies of civil engineering or other engineering sciences.

The main topics of part II are:

Linear Algebra: vectors, matrices, determinants, systems of linear equations;

Analytic Geometry: lines, planes, hyperplanes, curves and surfaces of second order;

Calculus for functions of several real variables.

Prerequisits: High school mathematics and for some parts Mathematics I.

Textbooks: will be discussed in the lecture.

Mimeographed lecture notes (in German): chapters 10 - 17 (linear algebra and calculus for functions of several variables)
are available in the office, main building, Room 229, Mo-Th 9-11.

The course is offered every year in the summer semester.

Inquiries may be directed to Dr. Manfred Fleckenstein (Tel. 0241 - 80 45 10, Fax 0241 - 88 88 322, email),
Prof. Dr. Volker Enß (Tel. 0241 - 80 45 07, Fax 0241 - 88 88 322, email)