19202801 Lecture

WiSe 17/18: Analysis I

Alexander Schmitt

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 literature:

  • 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.

close

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

30 Class schedule

Additional appointments

Mon, 2018-01-08 16:00 - 18:00
Probeklausur

Location:
Hs 2 Hörsaal (Habelschwerdter Allee 45)

Tue, 2018-02-13 10:00 - 12:00
Klausur

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)
T9/Gr. Hörsaal (Takustr. 9)

Thu, 2018-04-05 10:00 - 12:00
Nachklausur

Location:
T9/Gr. Hörsaal (Takustr. 9)

Regular appointments

Tue, 2017-10-17 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
T9/Gr. Hörsaal (Takustr. 9)

Tue, 2017-10-24 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
T9/Gr. Hörsaal (Takustr. 9)

Tue, 2017-11-07 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
T9/Gr. Hörsaal (Takustr. 9)

Tue, 2017-11-14 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
T9/Gr. Hörsaal (Takustr. 9)

Tue, 2017-11-21 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
T9/Gr. Hörsaal (Takustr. 9)

Tue, 2017-11-28 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
T9/Gr. Hörsaal (Takustr. 9)

Tue, 2017-12-05 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
T9/Gr. Hörsaal (Takustr. 9)

Tue, 2017-12-12 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
T9/Gr. Hörsaal (Takustr. 9)

Tue, 2017-12-19 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
T9/Gr. Hörsaal (Takustr. 9)

Tue, 2018-01-09 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
T9/Gr. Hörsaal (Takustr. 9)

Tue, 2018-01-16 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
T9/Gr. Hörsaal (Takustr. 9)

Tue, 2018-01-23 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
T9/Gr. Hörsaal (Takustr. 9)

Tue, 2018-01-30 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
T9/Gr. Hörsaal (Takustr. 9)

Tue, 2018-02-06 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
T9/Gr. Hörsaal (Takustr. 9)

Thu, 2017-10-19 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

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

Thu, 2017-10-26 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

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

Thu, 2017-11-02 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

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

Thu, 2017-11-09 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
1.3.14 Hörsaal A (Arnimallee 14)

Thu, 2017-11-16 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

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

Thu, 2017-11-23 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

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

Thu, 2017-11-30 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

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

Thu, 2017-12-07 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

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

Thu, 2017-12-14 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

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

Thu, 2017-12-21 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

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

Thu, 2018-01-11 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

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

Thu, 2018-01-18 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

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

Thu, 2018-01-25 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

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

Thu, 2018-02-01 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

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

Thu, 2018-02-08 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

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

Thu, 2018-02-15 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

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

Subjects A - Z