19301101
Lecture
WiSe 19/20: Analysis for Computer Science
László Kozma
Additional information / Pre-requisites
The sign-up for the tutorial sessions will be announced in due time.
Comments
Contents:
- number systems: from natural numbers to real numbers, completeness property of the reals
- polynomials: roots of polynomials, polynomial interpolation, rational functions
- special functions: exponential function, logarithm, trigonometric functions
- complex numbers: exponential function for complex numbers, complex roots
- convergence of sequences and series, convergence of functions, continuous functions, O-notation
- differential calculus: derivative of a function, interpretations and applications of the derivative
- intergral calculus: primitive functions, definite integrals, fundamental theorem of calculus, applications
- power series
- basics of stochastics: probability spaces, discrete and continuous random variables, expected value and variance of random variables
Suggested reading
- Kurt Meyberg, Peter Vachenauer: Höhere Mathematik 1, Springer-Verlag, 6. Auflage 2001
- Dirk Hachenberger: Mathematik für Informatiker, Pearson 2005
- Peter Hartmann: Mathematik für Informatiker, Vieweg, 4. Auflage 2006
- Thomas Westermann: Mathematik für Ingenieure mit Maple 1, Springer-Verlag, 4. Auflage 2005
32 Class schedule
Additional appointments
Mon, 2020-02-17 12:00 - 15:00Klausur
Mon, 2020-08-03 16:00 - 18:00
Nachklausur (der Termin findet in der Mensa statt)
Regular appointments
Mon, 2019-10-14 12:00 - 14:00
Analysis für Informatik (Serientermin 1)
Mon, 2019-10-21 12:00 - 14:00
Analysis für Informatik (Serientermin 1)
Mon, 2019-10-28 12:00 - 14:00
Analysis für Informatik (Serientermin 1)
Mon, 2019-11-04 12:00 - 14:00
Analysis für Informatik (Serientermin 1)
Mon, 2019-11-11 12:00 - 14:00
Analysis für Informatik (Serientermin 1)
Mon, 2019-11-18 12:00 - 14:00
Analysis für Informatik (Serientermin 1)
Mon, 2019-11-25 12:00 - 14:00
Analysis für Informatik (Serientermin 1)
Mon, 2019-12-02 12:00 - 14:00
Analysis für Informatik (Serientermin 1)
Mon, 2019-12-09 12:00 - 14:00
Analysis für Informatik (Serientermin 1)
Mon, 2019-12-16 12:00 - 14:00
Analysis für Informatik (Serientermin 1)
Mon, 2020-01-06 12:00 - 14:00
Analysis für Informatik (Serientermin 1)
Mon, 2020-01-13 12:00 - 14:00
Analysis für Informatik (Serientermin 1)
Mon, 2020-01-20 12:00 - 14:00
Analysis für Informatik (Serientermin 1)
Mon, 2020-01-27 12:00 - 14:00
Analysis für Informatik (Serientermin 1)
Mon, 2020-02-03 12:00 - 14:00
Analysis für Informatik (Serientermin 1)
Mon, 2020-02-10 12:00 - 14:00
Analysis für Informatik (Serientermin 1)
Wed, 2019-10-16 12:00 - 14:00
Analysis für Informatik (Serientermin 2)
Wed, 2019-10-23 12:00 - 14:00
Analysis für Informatik (Serientermin 2)
Wed, 2019-10-30 12:00 - 14:00
Analysis für Informatik (Serientermin 2)
Wed, 2019-11-06 12:00 - 14:00
Analysis für Informatik (Serientermin 2)
Wed, 2019-11-13 12:00 - 14:00
Analysis für Informatik (Serientermin 2)
Wed, 2019-11-20 12:00 - 14:00
Analysis für Informatik (Serientermin 2)
Wed, 2019-11-27 12:00 - 14:00
Analysis für Informatik (Serientermin 2)
Wed, 2019-12-04 12:00 - 14:00
Analysis für Informatik (Serientermin 2)
Wed, 2019-12-11 12:00 - 14:00
Analysis für Informatik (Serientermin 2)
Wed, 2019-12-18 12:00 - 14:00
Analysis für Informatik (Serientermin 2)
Wed, 2020-01-08 12:00 - 14:00
Analysis für Informatik (Serientermin 2)
Wed, 2020-01-15 12:00 - 14:00
Analysis für Informatik (Serientermin 2)
Wed, 2020-01-22 12:00 - 14:00
Analysis für Informatik (Serientermin 2)
Wed, 2020-01-29 12:00 - 14:00
Analysis für Informatik (Serientermin 2)
Wed, 2020-02-05 12:00 - 14:00
Analysis für Informatik (Serientermin 2)
Wed, 2020-02-12 12:00 - 14:00
Analysis für Informatik (Serientermin 2)
Contents:
number systems: from natural numbers to real numbers, completeness property of the reals polynomials: roots of polynomials, polynomial interpolation, rational functions ... read more