19202801 Lecture

WiSe 18/19: Analysis I

Peter Koltai

Comments

This is the first part of a three semester introduction into the basic mathematical field of Analysis. Differential and integral calculus in a real variable will be covered.
Topics: - the real numbers, - the concept of limits (sequences and series) – functions (continuity and differentiability) – minima and maxima of differentiable functions, extreme value calculation – the Riemann integral, Fourier series – ordinary differential equations.

 

The lecture follows the script Analysis I

Further literatur:

  • Blatter, Ch.: Analysis 1. Springer-Verlag. xi+369 S.

  • Forster, O.: Analysis 1. Differential- und Integralrechnung einer Veränderlichen. Vieweg. viii+208 S.

  • Fritzsche, K.: Grundkurs Analysis 1 - Differentiation und Integration in einer Veränderlichen. Spektrum Verlag. xii+372 S.

Many examples, applications and useful comments can be found in

  • Arens, T. , et al.: Mathematik. Heidelberg: Spektrum Akademischer Verlag. 2008. xiv+1496 S.

The following book develops Analysis  using a historical context

  • Körle, H.-H.: Die phantastische Geschichte der Analysis. Ihre Probleme und Methoden seit Demokrit und Archimedes. Dazu die Grundbegriffe von heute. Oldenbourg. 2009. xiv+217 S.

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Suggested reading

Die Vorlesung folgt dem Skript Analysis I

Weitere Literatur:

  • Blatter, Ch.: Analysis 1. Springer-Verlag. xi+369 S.

  • Forster, O.: Analysis 1. Differential- und Integralrechnung einer Veränderlichen. Vieweg. viii+208 S.

  • Fritzsche, K.: Grundkurs Analysis 1 - Differentiation und Integration in einer Veränderlichen. Spektrum Verlag. xii+372 S.

Zahlreiche Beispiele, Anwendungen und nützliche Anmerkungen findet man in

  • Arens, T. , et al.: Mathematik. Heidelberg: Spektrum Akademischer Verlag. 2008. xiv+1496 S.

Das folgende Buch entwickelt die Analysis aus dem historischen Kontext

  • Körle, H.-H.: Die phantastische Geschichte der Analysis. Ihre Probleme und Methoden seit Demokrit und Archimedes. Dazu die Grundbegriffe von heute. Oldenbourg. 2009. xiv+217 S.

close

32 Class schedule

Additional appointments

Tue, 2019-02-19 08:00 - 10:00
Klausur

Lecturers:
Univ.-Prof. Dr. Péter Koltai

Location:
Hs 1b Hörsaal (Habelschwerdter Allee 45)

Tue, 2019-04-02 08:00 - 10:00
Nachklausur

Lecturers:
Univ.-Prof. Dr. Péter Koltai

Location:
Hs 1b Hörsaal (Habelschwerdter Allee 45)

Regular appointments

Tue, 2018-10-16 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Péter Koltai

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Tue, 2018-10-23 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Péter Koltai

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Tue, 2018-10-30 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Péter Koltai

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Tue, 2018-11-06 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Péter Koltai

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Tue, 2018-11-13 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Péter Koltai

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Tue, 2018-11-20 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Péter Koltai

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Tue, 2018-11-27 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Péter Koltai

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Tue, 2018-12-04 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Péter Koltai

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Tue, 2018-12-11 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Péter Koltai

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Tue, 2018-12-18 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Péter Koltai

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Tue, 2019-01-08 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Péter Koltai

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Tue, 2019-01-15 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Péter Koltai

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Tue, 2019-01-22 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Péter Koltai

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Tue, 2019-01-29 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Péter Koltai

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Tue, 2019-02-05 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Péter Koltai

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Tue, 2019-02-12 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Péter Koltai

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Thu, 2018-10-18 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Péter Koltai

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Thu, 2018-10-25 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Péter Koltai

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Thu, 2018-11-01 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Péter Koltai

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Thu, 2018-11-08 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Péter Koltai

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Thu, 2018-11-15 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Péter Koltai

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Thu, 2018-11-22 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Péter Koltai

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Thu, 2018-11-29 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Péter Koltai

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Thu, 2018-12-06 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Péter Koltai

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Thu, 2018-12-13 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Péter Koltai

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Thu, 2018-12-20 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Péter Koltai

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Thu, 2019-01-10 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Péter Koltai

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Thu, 2019-01-17 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Péter Koltai

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Thu, 2019-01-24 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Péter Koltai

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Thu, 2019-01-31 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Péter Koltai

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Thu, 2019-02-07 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Péter Koltai

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Thu, 2019-02-14 08:00 - 10:00

Lecturers:
Univ.-Prof. Dr. Péter Koltai

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Subjects A - Z