Learning objectives:
Students acquire the skills needed to understand important concepts and structures of analysis and stochastics for higher-level computer science courses. They learn basic mathematical working methods and skills. They will be able to apply mathematical methods from analysis and stochastics to solve problems.
Course content:
- Sequences, series
- Continuous functions, important function classes, including exponential and trigonometric functions
- Differential and integral calculus for functions of a real variable
- Interpolation and approximation: polynomial interpolation according to Newton
- Descriptive statistics
- Probabilities and stochastic independence
- Random variables and their moments
- Special probability distributions
- Testing hypotheses
- Linear regression
