Module Mathematics 1, Media Computer Science (Bachelor) (ER 4)

Module summary
Module name Mathematics 1
Internal number MKIB1304
Coordinator Prof. Dr. Frank Schaefer
Extent 8 ECTS points / 6 Contact hours
Semester 1st 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 MKIB1314	Type/mode Lecture
Lecturer Prof. Dr. Frank Schaefer	Language of instruction German
Extent (ECTS/SWS) 5/4	Assessment Written Exam 90 Min. (graded)
Content The 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, 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 MKIB1324	Type/mode Laboratory
Lecturer Prof. Dr. Frank Schaefer	Language of instruction German
Extent (ECTS/SWS) 3/2	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. It will be focussed on matrices and homogenous coordinates, which are an important foundation for computer grafic.
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).