Geometric and Numerical Methods for Computer Scientists

11B0158

Bachelor

German

5.0

irregular

1 semester

Computer scientists increasingly have to work on applications in computer graphics, simulation and image processing. The necessary specialized mathematical knowledge, which extends the skills, methods and knowledge taught in the undergraduate mathematics courses, is taught in an application-oriented manner with theory and examples.

1. Calculation and representation of curves and surfaces with applications in computer graphics and animation
2. Numerical solution methods for linear and non-linear equations and systems
3. Elementary numerical methods for differential equations
4. Integral transformations and their applications in computer science

The total workload for the module is 150 hours (see also "ECTS credit points and grading").

• Homework / Assignment

• Regular participation

Graded examination:

The term paper consists of a written assignment (approx. 10-15 pages) and an oral presentation (approx. 15-20 minutes).
Ungraded examination:

Regular attendance: attendance of at least 80% of the course

The module requires in-depth knowledge of calculus and linear algebra, as acquired in introductory mathematics modules (e.g., Mathematics 1 to 3 for MI/TI). Prior knowledge of the following topics is particularly important:

• Vectors, matrices, determinants
• Differential and integral calculus
• Complex numbers
• Differential equations
• Functions of several variables

Students master basic algorithms of geometry and numerics, they know and understand applications of these mathematical methods in computer graphics, animation, simulation, signal and image processing.

Students have in-depth knowledge of geometric and numerical methods.

Students assess geometric and numerical methods with regard to the conditions and consequences of their use and apply these methods in a problem-solving manner. They interpret the results critically from the perspective of their specific application.

Students assess and apply numerical and geometric procedures and methods in the fields of computer graphics, animation, simulation and numerical data analysis.

Students can present the results of their term paper, competently explain their solution approaches and procedures and present them orally and in writing.

• Ambrozkiewicz, Mikolaj

• Ambrozkiewicz, Mikolaj
• Rehm, Ansgar