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Module Mathematics 1, Computer Science (Bachelor) (ER 7) Module summary Module name Mathematics 1 Internal number INFB1307 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 INFB1317 Type/mode Lecture Lecturer Prof. Dr. Frank Schaefer Language of instruction German Extent (ECTS/SWS) 5/4 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 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. 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).