Module summary
Module name:
Internal number:
Coordinator:
Extent:
Semester:
Pre-requisites with regard to content: none
Pre-requisites according to the examination regulations:
none
Competencies:

Participants learn the mathematical basics from linear algebra, which are often used in computer science. These basics are specifially needed in computer graphics, robotic, cryptography.

Assessment:
Individual exams
Course: Mathematics 1
Internal number: INFB1317 Type/mode: Lecture
Lecturer:
Prof. Dr. Frank Schaefer
Language of instruction:
German
Credits (ECTS): 5 Contact hours: 4
Workload: 150 hours (60 hours presence, 90 hours self-contained work) Assessment: Written Exam 90 Min. (graded)
Content:

he participants should learn basic knowledge of mathematics and especially of linear algebra and acquire the methods to solve smaller mathematical tasks by themselves. In the part on linear algebra we will focus on knowledge needed in computer grafic and 3D simulations.

Content of the lectures: Proof methods, relations, euqivalence relations, modulo-calculation, Euklid's algorithm, functions, operations, groups, rings, fields, polynomial rings, finite fields, interpolation, vector spaces, basis, dimension, linear equations, rank, Gauß-Jordan-algorithm, determinant, matrices, linear map, inverse matrices, rotation, translation, scaling, scalarproduct, norm, vectorproduct, orthogonal matrizen, eigenvalues, eigenvectors, homogeneous coordinates.

Recommended reading:

Own writings from the blackboard,
Exercises and summaries from the internet,

Tutorials given by students,

Textbook: Peter Stingl: Mathematik für Fachhochschulen, Hanser Verlag, 8. Auflage, 2009, ISBN-10: 3-446-42065-7

Comments:

Lecture,
Exercises,
Summary of the solutions in the lecture,
Tutorials for further assistance

Course: Mathematics 1 Laboratory
Internal number: INFB1327 Type/mode: Laboratory
Lecturer:
Prof. Dr. Frank Schaefer
Language of instruction:
German
Credits (ECTS): 3 Contact hours: 2
Workload: 90 hours (30 hours presence, 60 hours self-contained work) Assessment: Exercise 1 Semester (not graded)
Content:

Improving the knowledge of the related lectures,
basics in computer-algebra systems, mathematical problem solving with computer assistance.

With the help of the computer algebra system Maple different, applied mathematical questions from the fields of geometry, curves, interpolation and linear equations will be solved. Additionally we will look at functions, which can be represented by matrices.

Recommended reading:

Short introduction will be given. Exercises distributed in the classes and also
available on the internet.

Comments:

Exercises in the labs with Maple (instructor will be present).