| INFB Mathematics III | Course | INF | |
|---|---|---|---|
| Lecturers : |
Prof. Dr. Roland Uhl eMail |
Term | 3 |
| Course Classification : | Informatics Bachelor | CH | 2 |
| Language : | Deutsch | Type | L E |
| Type of examination : | PL | Credits | 2 |
| Method of evaluation : | written examination 90 min | ||
| Requirements : | |||
| Cross References : | |||
| Previous knowledges : | Good calculation skills, especially knowledge of probability theory, statistics and elementary mathematics, course Mathematics I | ||
| Aids and special features : | |||
| Teaching aims : | Analysis: basic skills in computation of limits of sequences and series , of integration and differentiation of real and complex functions, knowledge of partial differentials and convergence of functions, overview of several techniques for interpolation and approximation Stochastics: knowledge of basic notions such as: continuous random variables, distribution, density functions, moments and quantiles, ability to deduce basic laws from the axioms of probability theory, ability to solve probability problems involving the applications of the laws of probability and common probability distributions and of Bayes theorem overview of several important probability distributions | ||
| Contents : | Analysis: limits of sequences and series, criteria for convergence, power series, transcendent functions,
continuous functions, important limits, monotone functions, sequences and series of functions, uniform convergence, Stone-Weierstraß theorem,
calculus, rule of LHospital,
antiderivatives, basic intergrals, derivatives of higher order, Taylors theorem, partial derivatives,
integral calculus: mean value theorem | ||
| Literature : | Teschl/ Teschl: Mathematik für Informatiker, Band 2. Analysis und Stochastik, 1. Auflage, Springer, Berlin, 2006. Stingl, P., Mathematik für Fachhochschulen. Technik und Informatik, Hanser Fachbuchverlag, 7. Auflage, 2003. Wenzel, H., Heinrich, G.: Übungsaufgaben zur Analysis, Bd 1, Teubner Verlag, 1999. | ||