
Detailed information 
Original study plan 
Bachelor's programme Computer Science 2022W 
Objectives 
The students get the ability to become acquainted with a deep mathematical theory, more precisely with the classical theory of real functions in one variable. In doing so, the participants get a fundamental understanding of the different working techniques and tactics in analysis. In particular, the already learned proving capabilities are deepened. The analysis is a central ingredient in the technical sciences. Basic knowledge will be learned in order to guarantee an effective collaboration with engineers in industry. In the lecture the students will learn important tools that are relevant, e.g., for the analysis of algorithms (best case, worst case, average case) or that play an important role, e.g., in computer graphics.

Subject 
Real numbers and their computability, sequences and series, power series and the definition/computation of nontrivial functions, continuous functions, differential and integral calculus.

Criteria for evaluation 
One written exam beginning of February, one extra exam end of February (the dates will be fixed at the first lectures based on the needs of the students)

Methods 
Blackboard lecture together with detailed lecture notes.

Language 
German 
Study material 
M. Obergruggenberger, A. Ostermann: Analysis für Informatiker, SpringerVerlag;
F. Bornemann: Konkrete Analysis für Studierende der Informatik, SpringerVerlag.

Changing subject? 
No 
Corresponding lecture 
^{(*)}INBPBVOMAT1: VO Mathematik 1 (Analysis) (4,5 ECTS)

