Evento

Bachelor's programme in Mathematics

Bachelor's programme in Mathematics (2001 study regulations) (0084a_k120)

Module: Analysis I (0084aA1.1)

Analysis I

LV: 19202801

a.SAP verarbeitet

4 SWS

Carsten Gräser

Lecture

Submod: 0084aA1.1.1

Akt: 26.10.2020 14:00

Tue, 10:00 - 12:00 (T9/Gr. Hörsaal)

Thu, 10:00 - 12:00 (T9/Gr. Hörsaal)

Description

Contents: - 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

References

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.

Additional appointments

Appointment series

T9/Gr. Hörsaal

Carsten Gräser

einmal, ab 03.11.2020, 10:00 - 12:00 (15 Termine)

T9/Gr. Hörsaal

Carsten Gräser

einmal, ab 05.11.2020, 10:00 - 12:00 (15 Termine)

Practice seminar for Analysis I

LV: 19202802

a.SAP verarbeitet

2 SWS

Carsten Gräser

Xingjian Zhang-Schneider

Practice seminar

Submod: 0084aA1.1.2

Akt: 26.10.2020 14:00

Tue, 14:00 - 16:00 (A6/SR 025/026 Seminarraum)

Thu, 08:00 - 10:00 (A6/SR 032 Seminarraum)

Thu, 08:00 - 10:00 (A6/SR 031 Seminarraum)

Tue, 08:00 - 10:00 (A6/SR 031 Seminarraum)

Tue, 08:00 - 10:00 (A6/SR 032 Seminarraum)

Wed, 14:00 - 16:00 (A6/SR 031 Seminarraum)

Tue, 14:00 - 16:00 (A6/SR 032 Seminarraum)

Wed, 14:00 - 16:00 (A6/SR 032 Seminarraum)

Additional appointments

Appointment series

A6/SR 025/026 Seminarraum

Carsten Gräser

Xingjian Zhang-Schneider

einmal, ab 03.11.2020, 14:00 - 16:00 (15 Termine)

A6/SR 032 Seminarraum

Carsten Gräser

Xingjian Zhang-Schneider

einmal, ab 05.11.2020, 08:00 - 10:00 (15 Termine)

A6/SR 031 Seminarraum

Carsten Gräser

Xingjian Zhang-Schneider

einmal, ab 05.11.2020, 08:00 - 10:00 (15 Termine)

A6/SR 031 Seminarraum

Carsten Gräser

Xingjian Zhang-Schneider

einmal, ab 03.11.2020, 08:00 - 10:00 (15 Termine)

A6/SR 032 Seminarraum

Carsten Gräser

Xingjian Zhang-Schneider

einmal, ab 03.11.2020, 08:00 - 10:00 (15 Termine)

A6/SR 031 Seminarraum

Carsten Gräser

Xingjian Zhang-Schneider

einmal, ab 04.11.2020, 14:00 - 16:00 (15 Termine)

A6/SR 032 Seminarraum

Carsten Gräser

Xingjian Zhang-Schneider

einmal, ab 03.11.2020, 14:00 - 16:00 (15 Termine)

A6/SR 032 Seminarraum

Carsten Gräser

Xingjian Zhang-Schneider

einmal, ab 04.11.2020, 14:00 - 16:00 (15 Termine)

Module: Analysis III (0084aA1.3)

Analysis III

LV: 19201301

a.SAP verarbeitet

4 SWS

Klaus Ecker

Lecture

Submod: 0084aA1.3.1

Akt: 16.02.2021 15:20

Tue, 10:00 - 14:00 (Virtueller Raum 29)

Description

Topics covered:
- measure theory
- (Lebesgue) integration theory in several variables
- change of variables formula for multiple integrals
- volume and surface area calculations
- convergence theorems for integrals
- Gauss' and Green's theorems
- applications to geometry and physics

References

Literatur

To be announced

Additional information

More information at our website

Additional appointments

Klausur

Hs 1a Hörsaal

Hs 2 Hörsaal

Klaus Ecker

23.02.2021 10:00 - 12:00

Appointment series

Virtueller Raum 29

Klaus Ecker

einmal, ab 03.11.2020, 10:00 - 14:00 (14 Termine)

Practice seminar for Analysis III

LV: 19201302

a.SAP verarbeitet

2 SWS

Ahmad Al-Afuni

Practice seminar

Submod: 0084aA1.3.2

Akt: 29.10.2020 12:00

Wed, 08:00 - 10:00 (Virtueller Raum 24)

Wed, 12:00 - 14:00 (Virtueller Raum 29)

Module: Linear Algebra I (0084aA2.1)

Linear Algebra I

LV: 19201401

a.SAP verarbeitet

4 SWS

Alexandru Constantinescu

Lecture

Submod: 0084aA2.1.1

Akt: 26.11.2020 12:00

Mon, 08:00 - 10:00 (Hs B (Raum B.004, 100 Pl.))

Wed, 08:00 - 10:00 (Hs B (Raum B.004, 100 Pl.))

Description

Content:

Basic terms/concepts: sets, maps, equivalence relations, groups, rings,
fields
Linear equation systems: solvability criteria, Gauss algorithm
Vector spaces: linear independence, generating systems and bases, dimension,
subspaces, quotient spaces, cross products in R3
Linear maps: image and rank, relationship to matrices, behaviour under
change of basis
Dual vector spaces: multilinear forms, alternating and symmetric bilinear
forms, relationship to matices, change of basis
Determinants: Cramer's rule, Eigenvalues and Eigenvectors

Prerequisites:

Participation in the preparatory course (Brückenkurs) is highly recommended.

References

Siegfried Bosch, Lineare Algebra, 4. Auflage, Springer-Verlag, 2008;
Gerd Fischer, Lernbuch Lineare Algebra und Analytische Geometrie, Springer-Verlag, 2017;
Bartel Leendert van der Waerden, Algebra Volume I, 9th Edition, Springer 1993;

Zu den Grundlagen

Kevin Houston, Wie man mathematisch denkt: Eine Einführung in die mathematische Arbeitstechnik für Studienanfänger, Spektrum Akademischer Verlag, 2012

Additional appointments

Appointment series

Hs B (Raum B.004, 100 Pl.)

Alexandru Constantinescu

einmal, ab 02.11.2020, 08:00 - 10:00 (15 Termine)

Hs B (Raum B.004, 100 Pl.)

Alexandru Constantinescu

einmal, ab 04.11.2020, 08:00 - 10:00 (15 Termine)

Practice seminar for Linear Algebra I

LV: 19201402

a.SAP verarbeitet

2 SWS

Alexandru Constantinescu

Practice seminar

Submod: 0084aA2.1.2

Akt: 26.11.2020 12:00

Fri, 16:00 - 18:00 (A6/SR 032 Seminarraum)

Mon, 10:00 - 12:00 (A6/SR 031 Seminarraum)

Fri, 16:00 - 18:00 (A6/SR 025/026 Seminarraum)

Mon, 10:00 - 12:00 (A6/SR 025/026 Seminarraum)

Wed, 12:00 - 14:00 (A6/SR 032 Seminarraum)

Wed, 10:00 - 12:00 (A6/SR 025/026 Seminarraum)

Wed, 12:00 - 14:00 (A6/SR 025/026 Seminarraum)

Wed, 10:00 - 12:00 (A6/SR 032 Seminarraum)

Additional appointments

Appointment series

A6/SR 032 Seminarraum

Alexandru Constantinescu

einmal, ab 06.11.2020, 16:00 - 18:00 (15 Termine)

A6/SR 031 Seminarraum

Alexandru Constantinescu

einmal, ab 02.11.2020, 10:00 - 12:00 (15 Termine)

A6/SR 025/026 Seminarraum

Alexandru Constantinescu

einmal, ab 06.11.2020, 16:00 - 18:00 (15 Termine)

A6/SR 025/026 Seminarraum

Alexandru Constantinescu

einmal, ab 02.11.2020, 10:00 - 12:00 (15 Termine)

A6/SR 032 Seminarraum

Alexandru Constantinescu

einmal, ab 04.11.2020, 12:00 - 14:00 (15 Termine)

A6/SR 025/026 Seminarraum

Alexandru Constantinescu

einmal, ab 04.11.2020, 10:00 - 12:00 (15 Termine)

A6/SR 025/026 Seminarraum

Alexandru Constantinescu

einmal, ab 04.11.2020, 12:00 - 14:00 (15 Termine)

A6/SR 032 Seminarraum

Alexandru Constantinescu

einmal, ab 04.11.2020, 10:00 - 12:00 (15 Termine)

Module: Computer-Oriented Mathematics I (0084aA3.1)

Computerorientated Mathematics I (5 LP)

LV: 19200501

a.SAP verarbeitet

2 SWS

Ralf Kornhuber

Christof Schütte

Lecture

Submod: 0084aA3.1.1

Akt: 16.11.2020 16:00

Fri, 12:00 - 14:00 (T9/Gr. Hörsaal)

Description

Contents:
Computers play an important role in (almost) all situations in life today. Computer-oriented mathematics provides basic knowledge in dealing with computers for solving mathematical problems and an introduction to algorithmic thinking. At the same time, typical mathematical software such as Matlab and Mathematica will be introduced. The motivation for the questions under consideration is provided by simple application examples from the aforementioned areas. The content of the first part includes fundamental terms of numerical calculation: number representation and rounding errors, condition, efficiency and stability.

Homepage: All current information on lectures and lectures

References

Literatur: R. Kornhuber, C. Schuette, A. Fest: Mit Zahlen Rechnen (Skript zur Vorlesung)

Additional appointments

Appointment series

T9/Gr. Hörsaal

Ralf Kornhuber

Christof Schütte

einmal, ab 06.11.2020, 12:00 - 14:00 (15 Termine)

Practice seminar for Computerorientated Mathematics I (5 LP)

LV: 19200502

a.SAP verarbeitet

2 SWS

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

Practice seminar

Submod: 0084aA3.1.2

Akt: 12.02.2021 18:00

Mon, 12:00 - 14:00 (A6/SR 032 Seminarraum)

Wed, 16:00 - 18:00 (A6/SR 025/026 Seminarraum)

Mon, 14:00 - 16:00 (A6/SR 032 Seminarraum)

Fri, 14:00 - 16:00 (A6/SR 031 Seminarraum)

Wed, 14:00 - 16:00 (T9/SR 005 Übungsraum)

Mon, 14:00 - 16:00 (A6/SR 025/026 Seminarraum)

Tue, 14:00 - 16:00 (A3/ 024 Seminarraum )

Mon, 16:00 - 18:00 (A6/SR 025/026 Seminarraum)

Wed, 14:00 - 16:00 (T9/SR 006 Seminarraum)

Mon, 12:00 - 14:00 (A6/SR 025/026 Seminarraum)

Mon, 16:00 - 18:00 (A6/SR 032 Seminarraum)

Fri, 16:00 - 18:00 (T9/046 Seminarraum)

Fri, 16:00 - 18:00 (T9/049 Seminarraum)

Tue, 14:00 - 16:00 (A3/019 Seminarraum)

Fri, 14:00 - 16:00 (A6/SR 032 Seminarraum)

Wed, 16:00 - 18:00 (A6/SR 031 Seminarraum)

Additional appointments

Appointment series

A6/SR 032 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 02.11.2020, 12:00 - 14:00 (15 Termine)

A6/SR 025/026 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 04.11.2020, 16:00 - 18:00 (15 Termine)

A6/SR 032 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 02.11.2020, 14:00 - 16:00 (15 Termine)

A6/SR 031 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 06.11.2020, 14:00 - 16:00 (15 Termine)

T9/SR 005 Übungsraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 04.11.2020, 14:00 - 16:00 (15 Termine)

A6/SR 025/026 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 02.11.2020, 14:00 - 16:00 (15 Termine)

A3/ 024 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 03.11.2020, 14:00 - 16:00 (15 Termine)

A6/SR 025/026 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 02.11.2020, 16:00 - 18:00 (15 Termine)

T9/SR 006 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 04.11.2020, 14:00 - 16:00 (15 Termine)

A6/SR 025/026 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 02.11.2020, 12:00 - 14:00 (15 Termine)

A6/SR 032 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 02.11.2020, 16:00 - 18:00 (15 Termine)

T9/046 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 06.11.2020, 16:00 - 18:00 (15 Termine)

T9/049 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 06.11.2020, 16:00 - 18:00 (15 Termine)

A3/019 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 03.11.2020, 14:00 - 16:00 (15 Termine)

A6/SR 032 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 06.11.2020, 14:00 - 16:00 (15 Termine)

A6/SR 031 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 04.11.2020, 16:00 - 18:00 (15 Termine)

Module: Main Lecture - Algebra I (0084aC1.1)

Basic Module: Algebra I

LV: 19202501

a.SAP verarbeitet

4 SWS

Alexander Schmitt

Lecture

Submod: 0084aC1.1.1

Akt: 04.11.2020 20:00

Tue, 10:00 - 12:00 (Virtueller Raum 23)

Tue, 14:00 - 16:00 (Virtueller Raum 27)

Description

Content

This is the first part of a three semester course on algebraic geometry. Commutative algebra is the theory of commutative rings and their modules. It formally includes affine algebraic and local analytic geometry. Topics include:

? Affine algebraic varieties

? Rings, ideals, and modules

? Noetherian rings

? Local rings and localization

? Primary decompositione

? Finite and integral extensions

? Dimension theory

? Regular rings

Target Group
Students with the prerequisites mentioned below.

Prerequisites
? Linear Algebra I+II ? Algebra and Number Theory

Literature
? Atiyah, M.F.; Macdonald, I.G.: Introduction to commutative algebra. Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont. 1969 ix+128 pp. (This book is probably the best entry to the subject. It is short, concise, and clearly written.)
? Further literature will be announced in class.

Homepage: Professor Alexander Schmitt

Additional appointments

Appointment series

Virtueller Raum 23

Alexander Schmitt

einmal, ab 03.11.2020, 10:00 - 12:00 (15 Termine)

Virtueller Raum 27

Alexander Schmitt

einmal, ab 03.11.2020, 14:00 - 16:00 (15 Termine)

Practice seminar for Basic Module: Algebra I

LV: 19202502

a.SAP verarbeitet

2 SWS

Hanxing Lin

Practice seminar

Submod: 0084aC1.1.2

Akt: 13.10.2021 16:00

Thu, 14:00 - 16:00 (Virtueller Raum 26)

Large tutorial for Basic Module: Algebra I

LV: 19202541

a.SAP verarbeitet

2 SWS

Marwan Benyoussef

Zentralübung

Submod: 0084aC1.1.2

Akt: 04.11.2020 20:00

Mon, 10:00 - 12:00 (Virtueller Raum 05)

Bachelor's programme in Mathematics (2001 study regulations as revised in 2005) (0084b_k120)

Module: Analysis I (0084aA1.1)

Analysis I

LV: 19202801

a.SAP verarbeitet

4 SWS

Carsten Gräser

Lecture

Submod: 0084aA1.1.1

Akt: 26.10.2020 14:00

Tue, 10:00 - 12:00 (T9/Gr. Hörsaal)

Thu, 10:00 - 12:00 (T9/Gr. Hörsaal)

Description

References

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.

Additional appointments

Appointment series

T9/Gr. Hörsaal

Carsten Gräser

einmal, ab 03.11.2020, 10:00 - 12:00 (15 Termine)

T9/Gr. Hörsaal

Carsten Gräser

einmal, ab 05.11.2020, 10:00 - 12:00 (15 Termine)

Practice seminar for Analysis I

LV: 19202802

a.SAP verarbeitet

2 SWS

Carsten Gräser

Xingjian Zhang-Schneider

Practice seminar

Submod: 0084aA1.1.2

Akt: 26.10.2020 14:00

Tue, 14:00 - 16:00 (A6/SR 025/026 Seminarraum)

Thu, 08:00 - 10:00 (A6/SR 032 Seminarraum)

Thu, 08:00 - 10:00 (A6/SR 031 Seminarraum)

Tue, 08:00 - 10:00 (A6/SR 031 Seminarraum)

Tue, 08:00 - 10:00 (A6/SR 032 Seminarraum)

Wed, 14:00 - 16:00 (A6/SR 031 Seminarraum)

Tue, 14:00 - 16:00 (A6/SR 032 Seminarraum)

Wed, 14:00 - 16:00 (A6/SR 032 Seminarraum)

Additional appointments

Appointment series

A6/SR 025/026 Seminarraum

Carsten Gräser

Xingjian Zhang-Schneider

einmal, ab 03.11.2020, 14:00 - 16:00 (15 Termine)

A6/SR 032 Seminarraum

Carsten Gräser

Xingjian Zhang-Schneider

einmal, ab 05.11.2020, 08:00 - 10:00 (15 Termine)

A6/SR 031 Seminarraum

Carsten Gräser

Xingjian Zhang-Schneider

einmal, ab 05.11.2020, 08:00 - 10:00 (15 Termine)

A6/SR 031 Seminarraum

Carsten Gräser

Xingjian Zhang-Schneider

einmal, ab 03.11.2020, 08:00 - 10:00 (15 Termine)

A6/SR 032 Seminarraum

Carsten Gräser

Xingjian Zhang-Schneider

einmal, ab 03.11.2020, 08:00 - 10:00 (15 Termine)

A6/SR 031 Seminarraum

Carsten Gräser

Xingjian Zhang-Schneider

einmal, ab 04.11.2020, 14:00 - 16:00 (15 Termine)

A6/SR 032 Seminarraum

Carsten Gräser

Xingjian Zhang-Schneider

einmal, ab 03.11.2020, 14:00 - 16:00 (15 Termine)

A6/SR 032 Seminarraum

Carsten Gräser

Xingjian Zhang-Schneider

einmal, ab 04.11.2020, 14:00 - 16:00 (15 Termine)

Module: Analysis III (0084aA1.3)

Analysis III

LV: 19201301

a.SAP verarbeitet

4 SWS

Klaus Ecker

Lecture

Submod: 0084aA1.3.1

Akt: 16.02.2021 15:20

Tue, 10:00 - 14:00 (Virtueller Raum 29)

Description

References

Literatur

To be announced

Additional information

More information at our website

Additional appointments

Klausur

Hs 1a Hörsaal

Hs 2 Hörsaal

Klaus Ecker

23.02.2021 10:00 - 12:00

Appointment series

Virtueller Raum 29

Klaus Ecker

einmal, ab 03.11.2020, 10:00 - 14:00 (14 Termine)

Practice seminar for Analysis III

LV: 19201302

a.SAP verarbeitet

2 SWS

Ahmad Al-Afuni

Practice seminar

Submod: 0084aA1.3.2

Akt: 29.10.2020 12:00

Wed, 08:00 - 10:00 (Virtueller Raum 24)

Wed, 12:00 - 14:00 (Virtueller Raum 29)

Module: Linear Algebra I (0084aA2.1)

Linear Algebra I

LV: 19201401

a.SAP verarbeitet

4 SWS

Alexandru Constantinescu

Lecture

Submod: 0084aA2.1.1

Akt: 26.11.2020 12:00

Mon, 08:00 - 10:00 (Hs B (Raum B.004, 100 Pl.))

Wed, 08:00 - 10:00 (Hs B (Raum B.004, 100 Pl.))

Description

Content:

Basic terms/concepts: sets, maps, equivalence relations, groups, rings,
fields
Linear equation systems: solvability criteria, Gauss algorithm
Vector spaces: linear independence, generating systems and bases, dimension,
subspaces, quotient spaces, cross products in R3
Linear maps: image and rank, relationship to matrices, behaviour under
change of basis
Dual vector spaces: multilinear forms, alternating and symmetric bilinear
forms, relationship to matices, change of basis
Determinants: Cramer's rule, Eigenvalues and Eigenvectors

Prerequisites:

Participation in the preparatory course (Brückenkurs) is highly recommended.

References

Siegfried Bosch, Lineare Algebra, 4. Auflage, Springer-Verlag, 2008;
Gerd Fischer, Lernbuch Lineare Algebra und Analytische Geometrie, Springer-Verlag, 2017;
Bartel Leendert van der Waerden, Algebra Volume I, 9th Edition, Springer 1993;

Zu den Grundlagen

Kevin Houston, Wie man mathematisch denkt: Eine Einführung in die mathematische Arbeitstechnik für Studienanfänger, Spektrum Akademischer Verlag, 2012

Additional appointments

Appointment series

Hs B (Raum B.004, 100 Pl.)

Alexandru Constantinescu

einmal, ab 02.11.2020, 08:00 - 10:00 (15 Termine)

Hs B (Raum B.004, 100 Pl.)

Alexandru Constantinescu

einmal, ab 04.11.2020, 08:00 - 10:00 (15 Termine)

Practice seminar for Linear Algebra I

LV: 19201402

a.SAP verarbeitet

2 SWS

Alexandru Constantinescu

Practice seminar

Submod: 0084aA2.1.2

Akt: 26.11.2020 12:00

Fri, 16:00 - 18:00 (A6/SR 032 Seminarraum)

Mon, 10:00 - 12:00 (A6/SR 031 Seminarraum)

Fri, 16:00 - 18:00 (A6/SR 025/026 Seminarraum)

Mon, 10:00 - 12:00 (A6/SR 025/026 Seminarraum)

Wed, 12:00 - 14:00 (A6/SR 032 Seminarraum)

Wed, 10:00 - 12:00 (A6/SR 025/026 Seminarraum)

Wed, 12:00 - 14:00 (A6/SR 025/026 Seminarraum)

Wed, 10:00 - 12:00 (A6/SR 032 Seminarraum)

Additional appointments

Appointment series

A6/SR 032 Seminarraum

Alexandru Constantinescu

einmal, ab 06.11.2020, 16:00 - 18:00 (15 Termine)

A6/SR 031 Seminarraum

Alexandru Constantinescu

einmal, ab 02.11.2020, 10:00 - 12:00 (15 Termine)

A6/SR 025/026 Seminarraum

Alexandru Constantinescu

einmal, ab 06.11.2020, 16:00 - 18:00 (15 Termine)

A6/SR 025/026 Seminarraum

Alexandru Constantinescu

einmal, ab 02.11.2020, 10:00 - 12:00 (15 Termine)

A6/SR 032 Seminarraum

Alexandru Constantinescu

einmal, ab 04.11.2020, 12:00 - 14:00 (15 Termine)

A6/SR 025/026 Seminarraum

Alexandru Constantinescu

einmal, ab 04.11.2020, 10:00 - 12:00 (15 Termine)

A6/SR 025/026 Seminarraum

Alexandru Constantinescu

einmal, ab 04.11.2020, 12:00 - 14:00 (15 Termine)

A6/SR 032 Seminarraum

Alexandru Constantinescu

einmal, ab 04.11.2020, 10:00 - 12:00 (15 Termine)

Module: Computer-Oriented Mathematics I (0084aA3.1)

Computerorientated Mathematics I (5 LP)

LV: 19200501

a.SAP verarbeitet

2 SWS

Ralf Kornhuber

Christof Schütte

Lecture

Submod: 0084aA3.1.1

Akt: 16.11.2020 16:00

Fri, 12:00 - 14:00 (T9/Gr. Hörsaal)

Description

Homepage: All current information on lectures and lectures

References

Literatur: R. Kornhuber, C. Schuette, A. Fest: Mit Zahlen Rechnen (Skript zur Vorlesung)

Additional appointments

Appointment series

T9/Gr. Hörsaal

Ralf Kornhuber

Christof Schütte

einmal, ab 06.11.2020, 12:00 - 14:00 (15 Termine)

Practice seminar for Computerorientated Mathematics I (5 LP)

LV: 19200502

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2 SWS

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

Practice seminar

Submod: 0084aA3.1.2

Akt: 12.02.2021 18:00

Mon, 12:00 - 14:00 (A6/SR 032 Seminarraum)

Wed, 16:00 - 18:00 (A6/SR 025/026 Seminarraum)

Mon, 14:00 - 16:00 (A6/SR 032 Seminarraum)

Fri, 14:00 - 16:00 (A6/SR 031 Seminarraum)

Wed, 14:00 - 16:00 (T9/SR 005 Übungsraum)

Mon, 14:00 - 16:00 (A6/SR 025/026 Seminarraum)

Tue, 14:00 - 16:00 (A3/ 024 Seminarraum )

Mon, 16:00 - 18:00 (A6/SR 025/026 Seminarraum)

Wed, 14:00 - 16:00 (T9/SR 006 Seminarraum)

Mon, 12:00 - 14:00 (A6/SR 025/026 Seminarraum)

Mon, 16:00 - 18:00 (A6/SR 032 Seminarraum)

Fri, 16:00 - 18:00 (T9/046 Seminarraum)

Fri, 16:00 - 18:00 (T9/049 Seminarraum)

Tue, 14:00 - 16:00 (A3/019 Seminarraum)

Fri, 14:00 - 16:00 (A6/SR 032 Seminarraum)

Wed, 16:00 - 18:00 (A6/SR 031 Seminarraum)

Additional appointments

Appointment series

A6/SR 032 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 02.11.2020, 12:00 - 14:00 (15 Termine)

A6/SR 025/026 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 04.11.2020, 16:00 - 18:00 (15 Termine)

A6/SR 032 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 02.11.2020, 14:00 - 16:00 (15 Termine)

A6/SR 031 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 06.11.2020, 14:00 - 16:00 (15 Termine)

T9/SR 005 Übungsraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 04.11.2020, 14:00 - 16:00 (15 Termine)

A6/SR 025/026 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 02.11.2020, 14:00 - 16:00 (15 Termine)

A3/ 024 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 03.11.2020, 14:00 - 16:00 (15 Termine)

A6/SR 025/026 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 02.11.2020, 16:00 - 18:00 (15 Termine)

T9/SR 006 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 04.11.2020, 14:00 - 16:00 (15 Termine)

A6/SR 025/026 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 02.11.2020, 12:00 - 14:00 (15 Termine)

A6/SR 032 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 02.11.2020, 16:00 - 18:00 (15 Termine)

T9/046 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 06.11.2020, 16:00 - 18:00 (15 Termine)

T9/049 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 06.11.2020, 16:00 - 18:00 (15 Termine)

A3/019 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 03.11.2020, 14:00 - 16:00 (15 Termine)

A6/SR 032 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 06.11.2020, 14:00 - 16:00 (15 Termine)

A6/SR 031 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 04.11.2020, 16:00 - 18:00 (15 Termine)

Module: Introduction into Elementary Stochastics (0084bA4.2)

Stochastics I

LV: 19200601

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4 SWS

Nicolas Perkowski

Lecture

Submod: 0084bA4.2.1

Akt: 05.03.2021 18:00

Mon, 08:00 - 10:00 (Virtueller Raum 29)

Thu, 08:00 - 10:00 (Virtueller Raum 29)

Description

Inhalt:

Prinzipien des Zählens; Elemente der Kombinatorik
Wahrscheinlichkeitsmaße, Zufallsvariablen, Verteilungsfunktionen
bedingte Wahrscheinlichkeiten; Unabhängigkeit
Erwartungswert, Varianz, Korrelation
Gesetze der großen Zahlen
charakteristische Funktionen, Zentrale Grenzwertsätze
Elemente der Schätz- und Testtheorie
Maximum-Likelihood-Prinzip, Konfidenzintervalle, Hypothesentests

Nähere Informationen finden Sie auf der Homepage der Vorlesung 19200601 Stochastik I.

References

Literatur:

E. Behrends: Elementare Stochastik, Springer, 2013
H.-O. Georgii: Stochastik: Einführung in die Wahrscheinlichkeitstheorie und Statistik, De Gruyter, 2007
A. Klenke: Wahrscheinlichkeitstheorie, Springer, 2013
D. Meintrup, S. Schäffler, Stochastik: Theorie und Anwendungen, Springer, 2005.

Additional information

Zielgruppe: Studierende ab dem 3. Semester
Voraussetzungen: Analysis 1-2, Lineare Algebra 1-2, gleichzeitiger Besuch der Analysis 3 wird empfohlen.

Additional appointments

Klausur

Virtueller Raum 01

Nicolas Perkowski

25.02.2021 08:00 - 10:00

Nachklausur

Virtueller Raum 11

Nicolas Perkowski

07.04.2021 09:00 - 11:00

Appointment series

Virtueller Raum 29

Nicolas Perkowski

einmal, ab 02.11.2020, 08:00 - 10:00 (15 Termine)

Virtueller Raum 29

Nicolas Perkowski

einmal, ab 05.11.2020, 08:00 - 10:00 (15 Termine)

Tutorial: Stochastics I

LV: 19200602

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2 SWS

Nicolas Perkowski

Practice seminar

Submod: 0084bA4.2.2

Akt: 15.03.2021 16:00

Mon, 10:00 - 12:00 (A3/019 Seminarraum)

Mon, 12:00 - 14:00 (A6/SR 031 Seminarraum)

Module: Main Lecture - Algebra I (0084aC1.1)

Basic Module: Algebra I

LV: 19202501

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4 SWS

Alexander Schmitt

Lecture

Submod: 0084aC1.1.1

Akt: 04.11.2020 20:00

Tue, 10:00 - 12:00 (Virtueller Raum 23)

Tue, 14:00 - 16:00 (Virtueller Raum 27)

Description

Content

? Affine algebraic varieties

? Rings, ideals, and modules

? Noetherian rings

? Local rings and localization

? Primary decompositione

? Finite and integral extensions

? Dimension theory

? Regular rings

Target Group
Students with the prerequisites mentioned below.

Homepage: Professor Alexander Schmitt

Additional appointments

Appointment series

Virtueller Raum 23

Alexander Schmitt

einmal, ab 03.11.2020, 10:00 - 12:00 (15 Termine)

Virtueller Raum 27

Alexander Schmitt

einmal, ab 03.11.2020, 14:00 - 16:00 (15 Termine)

Practice seminar for Basic Module: Algebra I

LV: 19202502

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2 SWS

Hanxing Lin

Practice seminar

Submod: 0084aC1.1.2

Akt: 13.10.2021 16:00

Thu, 14:00 - 16:00 (Virtueller Raum 26)

Large tutorial for Basic Module: Algebra I

LV: 19202541

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2 SWS

Marwan Benyoussef

Zentralübung

Submod: 0084aC1.1.2

Akt: 04.11.2020 20:00

Mon, 10:00 - 12:00 (Virtueller Raum 05)

Module: Special Lecture - Algebra and the Theory of Numbers (0084bC1.6)

Algebra and Theory of Numbers

LV: 19200701

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4 SWS

Klaus Altmann

Lecture

Submod: 0084bC1.6.1

Akt: 13.04.2021 16:00

Wed, 11:00 - 15:00 (Hs A (Raum B.006, 200 Pl.)Online - zeitUNabhängig)

Description

Subject matter:
Selected topics from:

    Divisibility into rings (especially Z- and polynomial rings); residual classes and congruencies; modules and ideals
    Euclidean, principal ideal and factorial rings
    The quadratic law of reciprocity
    Primality tests and cryptography
    The structure of abel groups (or modules about main ideal rings)
    Symmetric function set
    Body extensions, Galois correspondence; constructions with compasses and rulers
    Non-Label groups (set of Lagrange, normal dividers, dissolvability, sylow groups)

Homepage

Additional appointments

Appointment series

Hs A (Raum B.006, 200 Pl.)

Online - zeitUNabhängig

Klaus Altmann

einmal, ab 04.11.2020, 11:00 - 15:00 (15 Termine)

Practice seminar for Algebra and Theory of Numbers

LV: 19200702

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2 SWS

Klaus Altmann

Practice seminar

Submod: 0084bC1.6.2

Akt: 03.03.2021 14:00

Thu, 10:00 - 12:00 (Virtueller Raum 21)

Thu, 10:00 - 12:00 (Virtueller Raum 29)

Module: Main Lecture - Functional Analysis (0084bC2.2)

Functional Analysis

LV: 19201901

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4 SWS

Holger Reich

Lecture

Submod: 0084bC2.2.1

Akt: 29.10.2020 12:00

Thu, 10:00 - 12:00 (Virtueller Raum 28)

Tue, 10:00 - 12:00 (Virtueller Raum 28)

Description

Content:
Functional analysis is the branch of mathematics dealing with the study of normalized (or general topological) vector spaces and continuous images between them. Analysis, topology and algebra are linked.
The lecture deals with Banach and Hilbert spaces, linear operators and functional as well as spectral theory of compact operators.

Target group: Students from the 3rd/4th semester on.

Requirements: Good command of the material of the lectures Analysis I/II and Linear Algebra I/II.

References

Literatur:

Dirk Werner: Funktionalanalysis, 7. Auflage, Springer-Verlag 2011, ISBN 978-3-642-21016-7

Additional appointments

Appointment series

Virtueller Raum 28

Holger Reich

einmal, ab 05.11.2020, 10:00 - 12:00 (15 Termine)

Virtueller Raum 28

Holger Reich

einmal, ab 03.11.2020, 10:00 - 12:00 (15 Termine)

Tutorial: Functional Analysis

LV: 19201902

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2 SWS

Holger Reich

Gabriel James Angelini-Knoll

Practice seminar

Submod: 0084bC2.2.2

Akt: 29.10.2020 12:00

Thu, 14:00 - 16:00 (Virtueller Raum 01)

Description

Inhalt:
Die Funktionalanalysis ist der Zweig der Mathematik, der sich mit der Untersuchung von normierten (oder allgemeiner topologischen) Vektorräumen und stetigen Abbildungen zwischen ihnen befasst. Hierbei werden Analysis, Topologie und Algebra verknüpft.
Die Vorlesung behandelt Banach- und Hilberträume, lineare Operatoren und Funktionale sowie Spektraltheorie kompakter Operatoren.

Zielgruppe: Studierende vom 4. Semester an.

Voraussetzungen: Sicheres Beherrschen des Stoffs der Vorlesungen Analysis I/II und Lineare Algebra I/II.

Literatur:

Dirk Werner: Funktionalanalysis, 6. Auflage, Springer-Verlag 2007, ISBN 978-3-540-72533-6
Hans Wilhelm Alt: Lineare Funktionalanalysis : eine anwendungsorientierte Einführung. 5. Auflage. Springer-Verlag, 2006, ISBN 3-540-34186-2
Harro Heuser: Funktionalanalysis: Theorie und Anwendung. 3. Auflage. Teubner-Verlag, 1992, ISBN 3-519-22206-X

Additional appointments

Appointment series

Virtueller Raum 01

Holger Reich

Gabriel James Angelini-Knoll

einmal, ab 05.11.2020, 14:00 - 16:00 (15 Termine)

Module: Main Lecture - Dynamic Systems (0084bC2.4)

Differential Equations II - Dynamical Systems II

LV: 19201601

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4 SWS

Bernold Fiedler

Lecture

Submod: 0084bC2.4.1

Akt: 29.10.2020 12:00

Thu, 10:00 - 12:00 (Virtueller Raum 06)

Tue, 10:00 - 12:00 (Virtueller Raum 06)

Description

Dynamical Systems II (4+2). The content is a selection of the following:

- Dynamical systems in continuous and discrete time;

- Rotation numbers; Circle diffeomorphisms and flows on the 2-torus;

- Stable and unstable manifolds;

- Shift dynamics and chaos;

- Hyperbolic dynamics;

- Center manifolds;

- Poincaré-Birkhoff normal form;

- Introduction to ergodic theory.

Requirement: Differential Equations I

References

Literatur wird in der Vorlesung bekannt gegeben.

Additional appointments

Appointment series

Virtueller Raum 06

Bernold Fiedler

einmal, ab 05.11.2020, 10:00 - 12:00 (15 Termine)

Virtueller Raum 06

Bernold Fiedler

einmal, ab 03.11.2020, 10:00 - 12:00 (15 Termine)

Practice seminar for Differential Equations II - Dynamical Systems II

LV: 19201602

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2 SWS

Alejandro Lopez Nieto

Practice seminar

Submod: 0084bC2.4.2

Akt: 29.10.2020 12:00

Mon, 10:00 - 12:00 (Virtueller Raum 29)

Wed, 16:00 - 18:00 (Virtueller Raum 25)

Module: Special Lecture - Full Nonlinear Partial Differential Equations (0084bC2.10)

Differential Equations II - Dynamical Systems II

LV: 19201601

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4 SWS

Bernold Fiedler

Lecture

Submod: 0084bC2.4.1

Akt: 29.10.2020 12:00

Thu, 10:00 - 12:00 (Virtueller Raum 06)

Tue, 10:00 - 12:00 (Virtueller Raum 06)

Description

Dynamical Systems II (4+2). The content is a selection of the following:

- Dynamical systems in continuous and discrete time;

- Rotation numbers; Circle diffeomorphisms and flows on the 2-torus;

- Stable and unstable manifolds;

- Shift dynamics and chaos;

- Hyperbolic dynamics;

- Center manifolds;

- Poincaré-Birkhoff normal form;

- Introduction to ergodic theory.

Requirement: Differential Equations I

References

Literatur wird in der Vorlesung bekannt gegeben.

Additional appointments

Appointment series

Virtueller Raum 06

Bernold Fiedler

einmal, ab 05.11.2020, 10:00 - 12:00 (15 Termine)

Virtueller Raum 06

Bernold Fiedler

einmal, ab 03.11.2020, 10:00 - 12:00 (15 Termine)

Practice seminar for Differential Equations II - Dynamical Systems II

LV: 19201602

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2 SWS

Alejandro Lopez Nieto

Practice seminar

Submod: 0084bC2.4.2

Akt: 29.10.2020 12:00

Mon, 10:00 - 12:00 (Virtueller Raum 29)

Wed, 16:00 - 18:00 (Virtueller Raum 25)

Module: Special Lecture - Cryptography (0084bC3.6)

Cryptography and Security in Distributed Systems

LV: 19303601

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4 SWS

Volker Roth

Lecture

Submod: 0084bC3.6.1

Akt: 29.10.2020 12:00

Tue, 16:00 - 18:00 (Virtueller Raum 01)

Thu, 12:00 - 14:00 (Virtueller Raum 01)

Description

This course gives an introduction to cryptography and cryptographic key management, as well as an introduction to cryptographic protocols and their application in the field of security in distributed systems. Relevant mathematical tools will be developed accordingly. In addition, the lecture addresses the importance of implementation details in the context of IT system security.

References

Jonathan Katz and Yehuda Lindell, Introduction to Modern Cryptography, 2008
Lindsay N. Childs, A Concrete Introduction to Higher Algebra. Springer Verlag, 1995.
Johannes Buchmann, Einfuehrung in die Kryptographie. Springer Verlag, 1999.

Weitere noch zu bestimmende Literatur und Primärquellen.

Additional information

Requirements: Participants must have a good mathematical understanding and good knowledge of computer security and networking.

Additional appointments

Appointment series

Virtueller Raum 01

Volker Roth

einmal, ab 03.11.2020, 16:00 - 18:00 (15 Termine)

Virtueller Raum 01

Volker Roth

einmal, ab 05.11.2020, 12:00 - 14:00 (15 Termine)

Practice seminar for Cryptography and Security in Distributed Systems

LV: 19303602

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2 SWS

Volker Roth

Oliver Wiese

Practice seminar

Submod: 0084bC3.6.2

Akt: 29.10.2020 12:00

Wed, 10:00 - 12:00 (Virtueller Raum 01)

Module: Main Lecture - Discrete Mathematics (0084bC3.1)

Discrete Geometrie I

LV: 19202001

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4 SWS

Matthias Beck

Lecture

Submod: 0084bC3.1.1

Akt: 12.09.2020 06:00

Fri, 10:00 - 12:00 (T9/Gr. Hörsaal)

Tue, 08:00 - 10:00 (T9/Gr. Hörsaal)

Description

This is the first in a series of three courses on discrete geometry. The aim of the course is a skillful handling of discrete geometric structures including analysis and proof techniques. The material will be a selection of the following topics:
Basic structures in discrete geometry

polyhedra and polyhedral complexes
configurations of points, hyperplanes, subspaces
Subdivisions and triangulations (including Delaunay and Voronoi)
Polytope theory
Representations and the theorem of Minkowski-Weyl
polarity, simple/simplicial polytopes, shellability
shellability, face lattices, f-vectors, Euler- and Dehn-Sommerville
graphs, diameters, Hirsch (ex-)conjecture
Geometry of linear programming
linear programs, simplex algorithm, LP-duality
Combinatorial geometry / Geometric combinatorics
Arrangements of points and lines, Sylvester-Gallai, Erdos-Szekeres
Arrangements, zonotopes, zonotopal tilings, oriented matroids
Examples, examples, examples
regular polytopes, centrally symmetric polytopes
extremal polytopes, cyclic/neighborly polytopes, stacked polytopes
combinatorial optimization and 0/1-polytopes

For students with an interest in discrete mathematics and geometry, this is the starting point to specialize in discrete geometry. The topics addressed in the course supplement and deepen the understanding for discrete-geometric structures appearing in differential geometry, topology, combinatorics, and algebraic geometry.

References

G.M. Ziegler "Lectures in Polytopes"
J. Matousek "Lectures on Discrete Geometry"
Further literature will be announced in class.

Additional information

Solid background in linear algebra. Knowledge in combinatorics and geometry is advantageous.

Additional appointments

Appointment series

T9/Gr. Hörsaal

Matthias Beck

einmal, ab 06.11.2020, 10:00 - 12:00 (15 Termine)

T9/Gr. Hörsaal

Matthias Beck

einmal, ab 03.11.2020, 08:00 - 10:00 (15 Termine)

Practice seminar for Discrete Geometrie I

LV: 19202002

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2 SWS

Jonathan Kliem

Practice seminar

Submod: 0084bC3.1.2

Akt: 16.11.2020 09:26

Fri, 14:00 - 16:00 (Virtueller Raum 01)

Thu, 12:00 - 14:00 (Virtueller Raum 24)

Module: Main Lecture - Numerical Mathematics (Numerics II) (0084bC5.1)

Basic Module: Numeric II

LV: 19202101

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4 SWS

Volker John

Lecture

Submod: 0084bC5.1.1

Akt: 04.11.2020 18:00

Mon, 14:00 - 16:00 (T9/Gr. Hörsaal)

Mon, 16:00 - 18:00 (T9/Gr. Hörsaal)

Description

Description: Extending basic knowledge on odes from Numerik I, we first concentrate on one-step methods for stiff and differential-algebraic systems and then discuss Hamiltonian systems. In the second part of the lecture we consider the iterative solution of large linear systems.

Target Audience: Students of Bachelor and Master courses in Mathematics and of BMS

Prerequisites: Basics of calculus (Analysis I, II) linear algebra (Lineare Algebra I, II) and numerical analysis (Numerik I)

Additional appointments

Appointment series

T9/Gr. Hörsaal

Volker John

einmal, ab 02.11.2020, 14:00 - 16:00 (15 Termine)

T9/Gr. Hörsaal

Volker John

einmal, ab 02.11.2020, 16:00 - 18:00 (15 Termine)

Practice seminar for Basic Module: Numeric II

LV: 19202102

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2 SWS

Volker John

Practice seminar

Submod: 0084bC5.1.2

Akt: 04.11.2020 18:00

Wed, 16:00 - 18:00 (Virtueller Raum 23)

Module: Main Lecture - Algorithms and Programming III (0084bC6.2)

Algorithms, Data Structures, and Data Abstraction

LV: 19300201

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4 SWS

Günther Rothe

Lecture

Submod: 0084bC6.2.1

Akt: 04.03.2021 11:11

Tue, 14:00 - 16:00 (Virtueller Raum 03)

Thu, 14:00 - 16:00 (Virtueller Raum 03)

Description

Analysis of sorting algorithms: Mergesort, Quicksort, etc.
ADTs priority queue and dictionary and corresponding data structures: heaps, hashing, binary search trees, B-trees, etc.
Graph algorithms: breadth first search and depth first search, topolocigal sorting, minimum spanning trees, shortest paths.
Analysis on Strings.
Memory-management.
Algorithm design: divide-and-conquer, greedy algorithms, dynamic programming.
Mathematical analysis of algorithms: running time, space.

References

P. Morin: Open Data Structures, an open content textboox.
T. H. Cormen, C. Leiserson, R. Rivest, C. Stein: Introduction to Algorithms, MIT Press, 2009.
R. Sedgewick: Algorithms in Java (Part 1–5), Addison-Wesley, 2003.
G. Saake, S. Sattler: Algorithmen und Datenstrukturen, dpunkt.verlag, 2013.
M. Dietzfelbinger, K. Mehlhorn, P. Sanders. Algorithmen und Datenstrukturen: Die Grundwerkzeuge, Springer, 2014.
M.T. Goodrich, R. Tamassia: Data Structures and Algorithms in Java, Wiley, 2014.

Additional appointments

Klausur

Virtueller Raum 01

Günther Rothe

02.03.2021 14:00 - 16:00

Nachklausur

Virtueller Raum 01

Günther Rothe

06.04.2021 13:30 - 14:00

Algorithmen, Datenstrukturen und Datenabstraktion

Virtueller Raum 02

Günther Rothe

06.04.2021 14:00 - 16:00

Appointment series

Virtueller Raum 03

Günther Rothe

einmal, ab 03.11.2020, 14:00 - 16:00 (15 Termine)

Virtueller Raum 03

Günther Rothe

einmal, ab 05.11.2020, 14:00 - 16:00 (15 Termine)

Practice seminar for Algorithms, Data Structures, and Data Abstraction

LV: 19300202

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2 SWS

Günther Rothe

Practice seminar

Submod: 0084bC6.2.2

Akt: 29.10.2020 12:00

Mon, 10:00 - 12:00 (Virtueller Raum 14)

Tue, 16:00 - 18:00 (Virtueller Raum 17)

Mon, 14:00 - 16:00 (Virtueller Raum 16)

Fri, 16:00 - 18:00 (Virtueller Raum 13)

Mon, 16:00 - 18:00 (Virtueller Raum 11)

Thu, 12:00 - 14:00 (Virtueller Raum 13)

Tue, 10:00 - 12:00 (Virtueller Raum 12)

Fri, 08:00 - 10:00 (Virtueller Raum 11)

Fri, 08:00 - 10:00 (Virtueller Raum 16)

Thu, 10:00 - 12:00 (Virtueller Raum 14)

Fri, 12:00 - 14:00 (Virtueller Raum 16)

Additional appointments

Appointment series

Virtueller Raum 14

Günther Rothe

einmal, ab 02.11.2020, 10:00 - 12:00 (15 Termine)

Virtueller Raum 17

Günther Rothe

einmal, ab 03.11.2020, 16:00 - 18:00 (15 Termine)

Virtueller Raum 16

Günther Rothe

einmal, ab 02.11.2020, 14:00 - 16:00 (15 Termine)

Virtueller Raum 13

Günther Rothe

einmal, ab 06.11.2020, 16:00 - 18:00 (15 Termine)

Virtueller Raum 11

Günther Rothe

einmal, ab 02.11.2020, 16:00 - 18:00 (15 Termine)

Virtueller Raum 13

Günther Rothe

einmal, ab 05.11.2020, 12:00 - 14:00 (15 Termine)

Virtueller Raum 12

Günther Rothe

einmal, ab 03.11.2020, 10:00 - 12:00 (15 Termine)

Virtueller Raum 11

Günther Rothe

einmal, ab 06.11.2020, 08:00 - 10:00 (15 Termine)

Virtueller Raum 16

Günther Rothe

einmal, ab 06.11.2020, 08:00 - 10:00 (15 Termine)

Virtueller Raum 14

Günther Rothe

einmal, ab 05.11.2020, 10:00 - 12:00 (15 Termine)

Virtueller Raum 16

Günther Rothe

einmal, ab 06.11.2020, 12:00 - 14:00 (15 Termine)

Module: Seminar on Algorithms (0084bC6.5)

Seminar on Algorithms

LV: 19306711

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2 SWS

Katharina Klost

Seminar

Submod: 0084bC6.5.1

Akt: 29.10.2020 12:00

Thu, 14:00 - 16:00 (Virtueller Raum 12)

Description

Advanced topcis in algorithm design with a changing focus. The topic is determined newly in each semester. For example, we might consider algorithms for problems on graphs, such as connectivity, shortest paths, or network flows.

Target audience

Masters students in computer science and mathematics.

Recommended prerequisites

"Advanced algorithms" or a similar class.

References

Spezialliteratur aus Zeitschriften

Additional appointments

Appointment series

Virtueller Raum 12

Katharina Klost

einmal, ab 05.11.2020, 14:00 - 16:00 (15 Termine)

Bachelor's programme in Mathematics (2010 study regulations) (0084c_k120)

Module: Mathematics Seminar (0084cB1.1)

Seminar Discrete Mathematics I

LV: 19202211

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2 SWS

Tibor Szabo

Seminar

Submod: 0084cB1.1.1

Akt: 05.11.2020 20:00

Thu, 10:00 - 12:00 (A6/SR 025/026 Seminarraum)

Proseminar/Seminar on Group Theory

LV: 19203312

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2 SWS

Kivanc Ersoy

Project Seminar

Submod: 0084cB1.1.1

Akt: 19.02.2021 16:00

Tue, 14:00 - 16:00 (A3/Hs 001 Hörsaal)

Description

Fundamental concepts of infinite group theory, series of subgroups, radicals and residuals, finiteness conditions: finitely generated and finitely presented groups, groups with finite rank, periodic and locally finite groups, maximal and minimal conditions. Solvable and nilpotent groups, properties of upper and lower central series, residually finite groups, generalized nilpotent groups, Engel groups, local theorems and generalized solvable groups.

Detailed Information can be found on the Homepage of the Seminar/Proseminar on Group Theory.

References

Textbook: Finiteness conditions and Generalized Solvable groups, Derek Robinson

Additional information

Participants should feel comfortable with the contents of 'Linear algebra 1', and perhaps 'Linear algebra 2'. If there are interested students who have already done the 'Algebra und Zahlentheorie' module, we will also be able to find interesting topics for them.

Additional appointments

Appointment series

A3/Hs 001 Hörsaal

Kivanc Ersoy

einmal, ab 03.11.2020, 14:00 - 16:00 (15 Termine)

(Undergraduate) Seminar Geometry

LV: 19213710

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2 SWS

Matthias Beck

Sophie Rehberg

Proseminar

Submod: 0084cB1.1.1

Akt: 26.10.2020 12:00

Wed, 14:00 - 16:00 (A6/SR 007/008 Seminarraum)

Description

The seminar is based on the book "Indra's Pearls" by Mumford, Series and Wright.
The title of the book is an allusion to the pearl chain of the god Indra: the pearls are reflected in each other, the mirror images are also reflected... Spheric reflections or mobius transformations of the sphere correspond to the broken linear transformations of the complex plane. The book tells about the beautiful pictures that arise from all possible compositions of two different Möbius transformations. The topic has references to hyperbolic geometry, function theory, dynamic systems, fractals.

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Matthias Beck

Sophie Rehberg

einmal, ab 04.11.2020, 14:00 - 16:00 (15 Termine)

(Hi)stories of Dynamics 2

LV: 19239811

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2 SWS

Bernold Fiedler

Isabelle Schneider

Seminar

Submod: 0084cB1.1.1

Akt: 29.10.2020 12:00

Wed, 10:00 - 12:00 (Virtueller Raum 23)

Module: Data Structures and Data Abstraction (0086bA1.3)

Algorithms, Data Structures, and Data Abstraction

LV: 19300201

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4 SWS

Günther Rothe

Lecture

Submod: 0084bC6.2.1

Akt: 04.03.2021 11:11

Tue, 14:00 - 16:00 (Virtueller Raum 03)

Thu, 14:00 - 16:00 (Virtueller Raum 03)

Description

Analysis of sorting algorithms: Mergesort, Quicksort, etc.
ADTs priority queue and dictionary and corresponding data structures: heaps, hashing, binary search trees, B-trees, etc.
Graph algorithms: breadth first search and depth first search, topolocigal sorting, minimum spanning trees, shortest paths.
Analysis on Strings.
Memory-management.
Algorithm design: divide-and-conquer, greedy algorithms, dynamic programming.
Mathematical analysis of algorithms: running time, space.

References

P. Morin: Open Data Structures, an open content textboox.
T. H. Cormen, C. Leiserson, R. Rivest, C. Stein: Introduction to Algorithms, MIT Press, 2009.
R. Sedgewick: Algorithms in Java (Part 1–5), Addison-Wesley, 2003.
G. Saake, S. Sattler: Algorithmen und Datenstrukturen, dpunkt.verlag, 2013.
M. Dietzfelbinger, K. Mehlhorn, P. Sanders. Algorithmen und Datenstrukturen: Die Grundwerkzeuge, Springer, 2014.
M.T. Goodrich, R. Tamassia: Data Structures and Algorithms in Java, Wiley, 2014.

Additional appointments

Klausur

Virtueller Raum 01

Günther Rothe

02.03.2021 14:00 - 16:00

Nachklausur

Virtueller Raum 01

Günther Rothe

06.04.2021 13:30 - 14:00

Algorithmen, Datenstrukturen und Datenabstraktion

Virtueller Raum 02

Günther Rothe

06.04.2021 14:00 - 16:00

Appointment series

Virtueller Raum 03

Günther Rothe

einmal, ab 03.11.2020, 14:00 - 16:00 (15 Termine)

Virtueller Raum 03

Günther Rothe

einmal, ab 05.11.2020, 14:00 - 16:00 (15 Termine)

Practice seminar for Algorithms, Data Structures, and Data Abstraction

LV: 19300202

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2 SWS

Günther Rothe

Practice seminar

Submod: 0084bC6.2.2

Akt: 29.10.2020 12:00

Mon, 10:00 - 12:00 (Virtueller Raum 14)

Tue, 16:00 - 18:00 (Virtueller Raum 17)

Mon, 14:00 - 16:00 (Virtueller Raum 16)

Fri, 16:00 - 18:00 (Virtueller Raum 13)

Mon, 16:00 - 18:00 (Virtueller Raum 11)

Thu, 12:00 - 14:00 (Virtueller Raum 13)

Tue, 10:00 - 12:00 (Virtueller Raum 12)

Fri, 08:00 - 10:00 (Virtueller Raum 11)

Fri, 08:00 - 10:00 (Virtueller Raum 16)

Thu, 10:00 - 12:00 (Virtueller Raum 14)

Fri, 12:00 - 14:00 (Virtueller Raum 16)

Additional appointments

Appointment series

Virtueller Raum 14

Günther Rothe

einmal, ab 02.11.2020, 10:00 - 12:00 (15 Termine)

Virtueller Raum 17

Günther Rothe

einmal, ab 03.11.2020, 16:00 - 18:00 (15 Termine)

Virtueller Raum 16

Günther Rothe

einmal, ab 02.11.2020, 14:00 - 16:00 (15 Termine)

Virtueller Raum 13

Günther Rothe

einmal, ab 06.11.2020, 16:00 - 18:00 (15 Termine)

Virtueller Raum 11

Günther Rothe

einmal, ab 02.11.2020, 16:00 - 18:00 (15 Termine)

Virtueller Raum 13

Günther Rothe

einmal, ab 05.11.2020, 12:00 - 14:00 (15 Termine)

Virtueller Raum 12

Günther Rothe

einmal, ab 03.11.2020, 10:00 - 12:00 (15 Termine)

Virtueller Raum 11

Günther Rothe

einmal, ab 06.11.2020, 08:00 - 10:00 (15 Termine)

Virtueller Raum 16

Günther Rothe

einmal, ab 06.11.2020, 08:00 - 10:00 (15 Termine)

Virtueller Raum 14

Günther Rothe

einmal, ab 05.11.2020, 10:00 - 12:00 (15 Termine)

Virtueller Raum 16

Günther Rothe

einmal, ab 06.11.2020, 12:00 - 14:00 (15 Termine)

Module: Algebra and Number Theory (0084cB2.5)

Algebra and Theory of Numbers

LV: 19200701

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4 SWS

Klaus Altmann

Lecture

Submod: 0084bC1.6.1

Akt: 13.04.2021 16:00

Wed, 11:00 - 15:00 (Hs A (Raum B.006, 200 Pl.)Online - zeitUNabhängig)

Description

Subject matter:
Selected topics from:

Homepage

Additional appointments

Appointment series

Hs A (Raum B.006, 200 Pl.)

Online - zeitUNabhängig

Klaus Altmann

einmal, ab 04.11.2020, 11:00 - 15:00 (15 Termine)

Practice seminar for Algebra and Theory of Numbers

LV: 19200702

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2 SWS

Klaus Altmann

Practice seminar

Submod: 0084bC1.6.2

Akt: 03.03.2021 14:00

Thu, 10:00 - 12:00 (Virtueller Raum 21)

Thu, 10:00 - 12:00 (Virtueller Raum 29)

Module: Functional Analysis (0084cB2.2)

Functional Analysis

LV: 19201901

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4 SWS

Holger Reich

Lecture

Submod: 0084bC2.2.1

Akt: 29.10.2020 12:00

Thu, 10:00 - 12:00 (Virtueller Raum 28)

Tue, 10:00 - 12:00 (Virtueller Raum 28)

Description

Target group: Students from the 3rd/4th semester on.

Requirements: Good command of the material of the lectures Analysis I/II and Linear Algebra I/II.

References

Literatur:

Dirk Werner: Funktionalanalysis, 7. Auflage, Springer-Verlag 2011, ISBN 978-3-642-21016-7

Additional appointments

Appointment series

Virtueller Raum 28

Holger Reich

einmal, ab 05.11.2020, 10:00 - 12:00 (15 Termine)

Virtueller Raum 28

Holger Reich

einmal, ab 03.11.2020, 10:00 - 12:00 (15 Termine)

Tutorial: Functional Analysis

LV: 19201902

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2 SWS

Holger Reich

Gabriel James Angelini-Knoll

Practice seminar

Submod: 0084bC2.2.2

Akt: 29.10.2020 12:00

Thu, 14:00 - 16:00 (Virtueller Raum 01)

Description

Dirk Werner: Funktionalanalysis, 6. Auflage, Springer-Verlag 2007, ISBN 978-3-540-72533-6
Hans Wilhelm Alt: Lineare Funktionalanalysis : eine anwendungsorientierte Einführung. 5. Auflage. Springer-Verlag, 2006, ISBN 3-540-34186-2
Harro Heuser: Funktionalanalysis: Theorie und Anwendung. 3. Auflage. Teubner-Verlag, 1992, ISBN 3-519-22206-X

Additional appointments

Appointment series

Virtueller Raum 01

Holger Reich

Gabriel James Angelini-Knoll

einmal, ab 05.11.2020, 14:00 - 16:00 (15 Termine)

Module: Discrete Mathematics I (0084cB3.2)

Discrete Geometrie I

LV: 19202001

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4 SWS

Matthias Beck

Lecture

Submod: 0084bC3.1.1

Akt: 12.09.2020 06:00

Fri, 10:00 - 12:00 (T9/Gr. Hörsaal)

Tue, 08:00 - 10:00 (T9/Gr. Hörsaal)

Description

polyhedra and polyhedral complexes
configurations of points, hyperplanes, subspaces
Subdivisions and triangulations (including Delaunay and Voronoi)
Polytope theory
Representations and the theorem of Minkowski-Weyl
polarity, simple/simplicial polytopes, shellability
shellability, face lattices, f-vectors, Euler- and Dehn-Sommerville
graphs, diameters, Hirsch (ex-)conjecture
Geometry of linear programming
linear programs, simplex algorithm, LP-duality
Combinatorial geometry / Geometric combinatorics
Arrangements of points and lines, Sylvester-Gallai, Erdos-Szekeres
Arrangements, zonotopes, zonotopal tilings, oriented matroids
Examples, examples, examples
regular polytopes, centrally symmetric polytopes
extremal polytopes, cyclic/neighborly polytopes, stacked polytopes
combinatorial optimization and 0/1-polytopes

References

G.M. Ziegler "Lectures in Polytopes"
J. Matousek "Lectures on Discrete Geometry"
Further literature will be announced in class.

Additional information

Solid background in linear algebra. Knowledge in combinatorics and geometry is advantageous.

Additional appointments

Appointment series

T9/Gr. Hörsaal

Matthias Beck

einmal, ab 06.11.2020, 10:00 - 12:00 (15 Termine)

T9/Gr. Hörsaal

Matthias Beck

einmal, ab 03.11.2020, 08:00 - 10:00 (15 Termine)

Practice seminar for Discrete Geometrie I

LV: 19202002

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2 SWS

Jonathan Kliem

Practice seminar

Submod: 0084bC3.1.2

Akt: 16.11.2020 09:26

Fri, 14:00 - 16:00 (Virtueller Raum 01)

Thu, 12:00 - 14:00 (Virtueller Raum 24)

Module: Numerical Mathematics II (0084cB3.4)

Basic Module: Numeric II

LV: 19202101

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4 SWS

Volker John

Lecture

Submod: 0084bC5.1.1

Akt: 04.11.2020 18:00

Mon, 14:00 - 16:00 (T9/Gr. Hörsaal)

Mon, 16:00 - 18:00 (T9/Gr. Hörsaal)

Description

Target Audience: Students of Bachelor and Master courses in Mathematics and of BMS

Prerequisites: Basics of calculus (Analysis I, II) linear algebra (Lineare Algebra I, II) and numerical analysis (Numerik I)

Additional appointments

Appointment series

T9/Gr. Hörsaal

Volker John

einmal, ab 02.11.2020, 14:00 - 16:00 (15 Termine)

T9/Gr. Hörsaal

Volker John

einmal, ab 02.11.2020, 16:00 - 18:00 (15 Termine)

Practice seminar for Basic Module: Numeric II

LV: 19202102

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2 SWS

Volker John

Practice seminar

Submod: 0084bC5.1.2

Akt: 04.11.2020 18:00

Wed, 16:00 - 18:00 (Virtueller Raum 23)

Module: Algebra I (0084cB3.3)

Basic Module: Algebra I

LV: 19202501

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4 SWS

Alexander Schmitt

Lecture

Submod: 0084aC1.1.1

Akt: 04.11.2020 20:00

Tue, 10:00 - 12:00 (Virtueller Raum 23)

Tue, 14:00 - 16:00 (Virtueller Raum 27)

Description

Content

? Affine algebraic varieties

? Rings, ideals, and modules

? Noetherian rings

? Local rings and localization

? Primary decompositione

? Finite and integral extensions

? Dimension theory

? Regular rings

Target Group
Students with the prerequisites mentioned below.

Homepage: Professor Alexander Schmitt

Additional appointments

Appointment series

Virtueller Raum 23

Alexander Schmitt

einmal, ab 03.11.2020, 10:00 - 12:00 (15 Termine)

Virtueller Raum 27

Alexander Schmitt

einmal, ab 03.11.2020, 14:00 - 16:00 (15 Termine)

Practice seminar for Basic Module: Algebra I

LV: 19202502

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2 SWS

Hanxing Lin

Practice seminar

Submod: 0084aC1.1.2

Akt: 13.10.2021 16:00

Thu, 14:00 - 16:00 (Virtueller Raum 26)

Large tutorial for Basic Module: Algebra I

LV: 19202541

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2 SWS

Marwan Benyoussef

Zentralübung

Submod: 0084aC1.1.2

Akt: 04.11.2020 20:00

Mon, 10:00 - 12:00 (Virtueller Raum 05)

Module: Seminar on Algorithms (0089bA2.8)

Seminar on Algorithms

LV: 19306711

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2 SWS

Katharina Klost

Seminar

Submod: 0084bC6.5.1

Akt: 29.10.2020 12:00

Thu, 14:00 - 16:00 (Virtueller Raum 12)

Description

Target audience

Masters students in computer science and mathematics.

Recommended prerequisites

"Advanced algorithms" or a similar class.

References

Spezialliteratur aus Zeitschriften

Additional appointments

Appointment series

Virtueller Raum 12

Katharina Klost

einmal, ab 05.11.2020, 14:00 - 16:00 (15 Termine)

Module: Analysis I (0084cA1.1)

Analysis I

LV: 19202801

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4 SWS

Carsten Gräser

Lecture

Submod: 0084aA1.1.1

Akt: 26.10.2020 14:00

Tue, 10:00 - 12:00 (T9/Gr. Hörsaal)

Thu, 10:00 - 12:00 (T9/Gr. Hörsaal)

Description

References

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.

Additional appointments

Appointment series

T9/Gr. Hörsaal

Carsten Gräser

einmal, ab 03.11.2020, 10:00 - 12:00 (15 Termine)

T9/Gr. Hörsaal

Carsten Gräser

einmal, ab 05.11.2020, 10:00 - 12:00 (15 Termine)

Practice seminar for Analysis I

LV: 19202802

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2 SWS

Carsten Gräser

Xingjian Zhang-Schneider

Practice seminar

Submod: 0084aA1.1.2

Akt: 26.10.2020 14:00

Tue, 14:00 - 16:00 (A6/SR 025/026 Seminarraum)

Thu, 08:00 - 10:00 (A6/SR 032 Seminarraum)

Thu, 08:00 - 10:00 (A6/SR 031 Seminarraum)

Tue, 08:00 - 10:00 (A6/SR 031 Seminarraum)

Tue, 08:00 - 10:00 (A6/SR 032 Seminarraum)

Wed, 14:00 - 16:00 (A6/SR 031 Seminarraum)

Tue, 14:00 - 16:00 (A6/SR 032 Seminarraum)

Wed, 14:00 - 16:00 (A6/SR 032 Seminarraum)

Additional appointments

Appointment series

A6/SR 025/026 Seminarraum

Carsten Gräser

Xingjian Zhang-Schneider

einmal, ab 03.11.2020, 14:00 - 16:00 (15 Termine)

A6/SR 032 Seminarraum

Carsten Gräser

Xingjian Zhang-Schneider

einmal, ab 05.11.2020, 08:00 - 10:00 (15 Termine)

A6/SR 031 Seminarraum

Carsten Gräser

Xingjian Zhang-Schneider

einmal, ab 05.11.2020, 08:00 - 10:00 (15 Termine)

A6/SR 031 Seminarraum

Carsten Gräser

Xingjian Zhang-Schneider

einmal, ab 03.11.2020, 08:00 - 10:00 (15 Termine)

A6/SR 032 Seminarraum

Carsten Gräser

Xingjian Zhang-Schneider

einmal, ab 03.11.2020, 08:00 - 10:00 (15 Termine)

A6/SR 031 Seminarraum

Carsten Gräser

Xingjian Zhang-Schneider

einmal, ab 04.11.2020, 14:00 - 16:00 (15 Termine)

A6/SR 032 Seminarraum

Carsten Gräser

Xingjian Zhang-Schneider

einmal, ab 03.11.2020, 14:00 - 16:00 (15 Termine)

A6/SR 032 Seminarraum

Carsten Gräser

Xingjian Zhang-Schneider

einmal, ab 04.11.2020, 14:00 - 16:00 (15 Termine)

Module: Lineare Algebra I (0084cA1.4)

Linear Algebra I

LV: 19201401

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4 SWS

Alexandru Constantinescu

Lecture

Submod: 0084aA2.1.1

Akt: 26.11.2020 12:00

Mon, 08:00 - 10:00 (Hs B (Raum B.004, 100 Pl.))

Wed, 08:00 - 10:00 (Hs B (Raum B.004, 100 Pl.))

Description

Content:

Basic terms/concepts: sets, maps, equivalence relations, groups, rings,
fields
Linear equation systems: solvability criteria, Gauss algorithm
Vector spaces: linear independence, generating systems and bases, dimension,
subspaces, quotient spaces, cross products in R3
Linear maps: image and rank, relationship to matrices, behaviour under
change of basis
Dual vector spaces: multilinear forms, alternating and symmetric bilinear
forms, relationship to matices, change of basis
Determinants: Cramer's rule, Eigenvalues and Eigenvectors

Prerequisites:

Participation in the preparatory course (Brückenkurs) is highly recommended.

References

Siegfried Bosch, Lineare Algebra, 4. Auflage, Springer-Verlag, 2008;
Gerd Fischer, Lernbuch Lineare Algebra und Analytische Geometrie, Springer-Verlag, 2017;
Bartel Leendert van der Waerden, Algebra Volume I, 9th Edition, Springer 1993;

Zu den Grundlagen

Kevin Houston, Wie man mathematisch denkt: Eine Einführung in die mathematische Arbeitstechnik für Studienanfänger, Spektrum Akademischer Verlag, 2012

Additional appointments

Appointment series

Hs B (Raum B.004, 100 Pl.)

Alexandru Constantinescu

einmal, ab 02.11.2020, 08:00 - 10:00 (15 Termine)

Hs B (Raum B.004, 100 Pl.)

Alexandru Constantinescu

einmal, ab 04.11.2020, 08:00 - 10:00 (15 Termine)

Practice seminar for Linear Algebra I

LV: 19201402

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2 SWS

Alexandru Constantinescu

Practice seminar

Submod: 0084aA2.1.2

Akt: 26.11.2020 12:00

Fri, 16:00 - 18:00 (A6/SR 032 Seminarraum)

Mon, 10:00 - 12:00 (A6/SR 031 Seminarraum)

Fri, 16:00 - 18:00 (A6/SR 025/026 Seminarraum)

Mon, 10:00 - 12:00 (A6/SR 025/026 Seminarraum)

Wed, 12:00 - 14:00 (A6/SR 032 Seminarraum)

Wed, 10:00 - 12:00 (A6/SR 025/026 Seminarraum)

Wed, 12:00 - 14:00 (A6/SR 025/026 Seminarraum)

Wed, 10:00 - 12:00 (A6/SR 032 Seminarraum)

Additional appointments

Appointment series

A6/SR 032 Seminarraum

Alexandru Constantinescu

einmal, ab 06.11.2020, 16:00 - 18:00 (15 Termine)

A6/SR 031 Seminarraum

Alexandru Constantinescu

einmal, ab 02.11.2020, 10:00 - 12:00 (15 Termine)

A6/SR 025/026 Seminarraum

Alexandru Constantinescu

einmal, ab 06.11.2020, 16:00 - 18:00 (15 Termine)

A6/SR 025/026 Seminarraum

Alexandru Constantinescu

einmal, ab 02.11.2020, 10:00 - 12:00 (15 Termine)

A6/SR 032 Seminarraum

Alexandru Constantinescu

einmal, ab 04.11.2020, 12:00 - 14:00 (15 Termine)

A6/SR 025/026 Seminarraum

Alexandru Constantinescu

einmal, ab 04.11.2020, 10:00 - 12:00 (15 Termine)

A6/SR 025/026 Seminarraum

Alexandru Constantinescu

einmal, ab 04.11.2020, 12:00 - 14:00 (15 Termine)

A6/SR 032 Seminarraum

Alexandru Constantinescu

einmal, ab 04.11.2020, 10:00 - 12:00 (15 Termine)

Module: Computerorientierte Mathematik I (0084cA1.6)

Computerorientated Mathematics I (5 LP)

LV: 19200501

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2 SWS

Ralf Kornhuber

Christof Schütte

Lecture

Submod: 0084aA3.1.1

Akt: 16.11.2020 16:00

Fri, 12:00 - 14:00 (T9/Gr. Hörsaal)

Description

Homepage: All current information on lectures and lectures

References

Literatur: R. Kornhuber, C. Schuette, A. Fest: Mit Zahlen Rechnen (Skript zur Vorlesung)

Additional appointments

Appointment series

T9/Gr. Hörsaal

Ralf Kornhuber

Christof Schütte

einmal, ab 06.11.2020, 12:00 - 14:00 (15 Termine)

Practice seminar for Computerorientated Mathematics I (5 LP)

LV: 19200502

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2 SWS

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

Practice seminar

Submod: 0084aA3.1.2

Akt: 12.02.2021 18:00

Mon, 12:00 - 14:00 (A6/SR 032 Seminarraum)

Wed, 16:00 - 18:00 (A6/SR 025/026 Seminarraum)

Mon, 14:00 - 16:00 (A6/SR 032 Seminarraum)

Fri, 14:00 - 16:00 (A6/SR 031 Seminarraum)

Wed, 14:00 - 16:00 (T9/SR 005 Übungsraum)

Mon, 14:00 - 16:00 (A6/SR 025/026 Seminarraum)

Tue, 14:00 - 16:00 (A3/ 024 Seminarraum )

Mon, 16:00 - 18:00 (A6/SR 025/026 Seminarraum)

Wed, 14:00 - 16:00 (T9/SR 006 Seminarraum)

Mon, 12:00 - 14:00 (A6/SR 025/026 Seminarraum)

Mon, 16:00 - 18:00 (A6/SR 032 Seminarraum)

Fri, 16:00 - 18:00 (T9/046 Seminarraum)

Fri, 16:00 - 18:00 (T9/049 Seminarraum)

Tue, 14:00 - 16:00 (A3/019 Seminarraum)

Fri, 14:00 - 16:00 (A6/SR 032 Seminarraum)

Wed, 16:00 - 18:00 (A6/SR 031 Seminarraum)

Additional appointments

Appointment series

A6/SR 032 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 02.11.2020, 12:00 - 14:00 (15 Termine)

A6/SR 025/026 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 04.11.2020, 16:00 - 18:00 (15 Termine)

A6/SR 032 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 02.11.2020, 14:00 - 16:00 (15 Termine)

A6/SR 031 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 06.11.2020, 14:00 - 16:00 (15 Termine)

T9/SR 005 Übungsraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 04.11.2020, 14:00 - 16:00 (15 Termine)

A6/SR 025/026 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 02.11.2020, 14:00 - 16:00 (15 Termine)

A3/ 024 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 03.11.2020, 14:00 - 16:00 (15 Termine)

A6/SR 025/026 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 02.11.2020, 16:00 - 18:00 (15 Termine)

T9/SR 006 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 04.11.2020, 14:00 - 16:00 (15 Termine)

A6/SR 025/026 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 02.11.2020, 12:00 - 14:00 (15 Termine)

A6/SR 032 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 02.11.2020, 16:00 - 18:00 (15 Termine)

T9/046 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 06.11.2020, 16:00 - 18:00 (15 Termine)

T9/049 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 06.11.2020, 16:00 - 18:00 (15 Termine)

A3/019 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 03.11.2020, 14:00 - 16:00 (15 Termine)

A6/SR 032 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 06.11.2020, 14:00 - 16:00 (15 Termine)

A6/SR 031 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 04.11.2020, 16:00 - 18:00 (15 Termine)

Module: Stochastics I (0084cA1.8)

Stochastics I

LV: 19200601

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4 SWS

Nicolas Perkowski

Lecture

Submod: 0084bA4.2.1

Akt: 05.03.2021 18:00

Mon, 08:00 - 10:00 (Virtueller Raum 29)

Thu, 08:00 - 10:00 (Virtueller Raum 29)

Description

Inhalt:

Prinzipien des Zählens; Elemente der Kombinatorik
Wahrscheinlichkeitsmaße, Zufallsvariablen, Verteilungsfunktionen
bedingte Wahrscheinlichkeiten; Unabhängigkeit
Erwartungswert, Varianz, Korrelation
Gesetze der großen Zahlen
charakteristische Funktionen, Zentrale Grenzwertsätze
Elemente der Schätz- und Testtheorie
Maximum-Likelihood-Prinzip, Konfidenzintervalle, Hypothesentests

Nähere Informationen finden Sie auf der Homepage der Vorlesung 19200601 Stochastik I.

References

Literatur:

E. Behrends: Elementare Stochastik, Springer, 2013
H.-O. Georgii: Stochastik: Einführung in die Wahrscheinlichkeitstheorie und Statistik, De Gruyter, 2007
A. Klenke: Wahrscheinlichkeitstheorie, Springer, 2013
D. Meintrup, S. Schäffler, Stochastik: Theorie und Anwendungen, Springer, 2005.

Additional information

Zielgruppe: Studierende ab dem 3. Semester
Voraussetzungen: Analysis 1-2, Lineare Algebra 1-2, gleichzeitiger Besuch der Analysis 3 wird empfohlen.

Additional appointments

Klausur

Virtueller Raum 01

Nicolas Perkowski

25.02.2021 08:00 - 10:00

Nachklausur

Virtueller Raum 11

Nicolas Perkowski

07.04.2021 09:00 - 11:00

Appointment series

Virtueller Raum 29

Nicolas Perkowski

einmal, ab 02.11.2020, 08:00 - 10:00 (15 Termine)

Virtueller Raum 29

Nicolas Perkowski

einmal, ab 05.11.2020, 08:00 - 10:00 (15 Termine)

Tutorial: Stochastics I

LV: 19200602

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2 SWS

Nicolas Perkowski

Practice seminar

Submod: 0084bA4.2.2

Akt: 15.03.2021 16:00

Mon, 10:00 - 12:00 (A3/019 Seminarraum)

Mon, 12:00 - 14:00 (A6/SR 031 Seminarraum)

Module: Analysis II (0084cA1.2)

Analysis II

LV: 19211601

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4 SWS

Dirk Werner

Lecture

Submod: 0084cA1.2.1

Akt: 26.03.2021 20:57

Thu, 08:00 - 10:00 (Virtueller Raum 05)

Tue, 08:00 - 10:00 (Virtueller Raum 05)

Description

Content

Additions to Analysis I. Non-authentic integrals
Uniform convergence of function sequences. Power series. Sentence of Taylor.
Elements of topology. Standardized and metric spaces. Open quantities. Convergence. Completed quantities. Consistency. Compactness
Differential calculus of several variables. Partial, total and continuous differentiability. Block via the inverse function. Block of implicit functions.
Iterated integrals.
Ordinary differential equations. Basic terms, elementary solvable differential equations, existential and unambiguous results for systems.

References

O. Forster: Analysis 1 und 2. Vieweg/Springer.
Königsberger, K: Analysis 1,2, Springer.
E. Behrends: Analysis Band 1 und 2, Vieweg/Springer.
H. Heuser: Lehrbuch der Analysis 1 und 2, Teubner/Springer.

Additional appointments

A6/SR 007/008 Seminarraum

Dirk Werner

04.03.2021 10:00 - 17:00

Analysis II

A6/SR 007/008 Seminarraum

Dirk Werner

11.03.2021 10:00 - 17:00

Nachklausur

Virtueller Raum 02

Dirk Werner

31.03.2021 09:30 - 11:30

Appointment series

Virtueller Raum 05

Dirk Werner

einmal, ab 05.11.2020, 08:00 - 10:00 (15 Termine)

Virtueller Raum 05

Dirk Werner

einmal, ab 03.11.2020, 08:00 - 10:00 (15 Termine)

Practice seminar for Analysis II

LV: 19211602

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2 SWS

Dirk Werner

Practice seminar

Submod: 0084cA1.2.2

Akt: 26.11.2020 12:00

Wed, 10:00 - 12:00 (A6/SR 031 Seminarraum)

Tue, 12:00 - 14:00 (A3/019 Seminarraum)

Tue, 10:00 - 12:00 (A3/019 Seminarraum)

Tue, 12:00 - 14:00 (A6/SR 032 Seminarraum)

Additional appointments

Appointment series

A6/SR 031 Seminarraum

Dirk Werner

einmal, ab 04.11.2020, 10:00 - 12:00 (15 Termine)

A3/019 Seminarraum

Dirk Werner

einmal, ab 03.11.2020, 12:00 - 14:00 (15 Termine)

A3/019 Seminarraum

Dirk Werner

einmal, ab 03.11.2020, 10:00 - 12:00 (15 Termine)

A6/SR 032 Seminarraum

Dirk Werner

einmal, ab 03.11.2020, 12:00 - 14:00 (15 Termine)

Module: Lineare Algebra II (0084cA1.5)

Linear Algebra II

LV: 19211701

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4 SWS

Pavle Blagojevic

Lecture

Submod: 0084cA1.5.1

Akt: 29.10.2020 12:00

Wed, 08:00 - 10:00 (Virtueller Raum 04)

Fri, 08:00 - 10:00 (Virtueller Raum 04)

Description

Contents:

Eigenvalues and eigenvectors: diagonalizability, trigonalizability, set of Cayley-Hamilton, Jordanian normal form
Vectorräume with scalar product: Euclidean, unitary vectorräume, orthogonal projection, isometries, self-adjusted images, Gram-Schmidt orthonormalization methods, major axis transformation

Prerequisites: Linear Algebra I

Literature:

Will be mentioned in the lecture.

Additional information

See http://page.mi.fu-berlin.de/werner99/.

Additional appointments

Appointment series

Virtueller Raum 04

Pavle Blagojevic

einmal, ab 04.11.2020, 08:00 - 10:00 (15 Termine)

Virtueller Raum 04

Pavle Blagojevic

einmal, ab 06.11.2020, 08:00 - 10:00 (15 Termine)

Practice seminar for Linear Algebra II

LV: 19211702

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2 SWS

Pavle Blagojevic

Practice seminar

Submod: 0084cA1.5.2

Akt: 29.10.2020 12:00

Fri, 10:00 - 12:00 (Virtueller Raum 26)

Thu, 16:00 - 18:00 (Virtueller Raum 20)

Fri, 10:00 - 12:00 (Virtueller Raum 20)

Thu, 16:00 - 18:00 (Virtueller Raum 25)

Additional appointments

Appointment series

Virtueller Raum 26

Pavle Blagojevic

einmal, ab 06.11.2020, 10:00 - 12:00 (15 Termine)

Virtueller Raum 20

Pavle Blagojevic

einmal, ab 05.11.2020, 16:00 - 18:00 (15 Termine)

Virtueller Raum 20

Pavle Blagojevic

einmal, ab 06.11.2020, 10:00 - 12:00 (15 Termine)

Virtueller Raum 25

Pavle Blagojevic

einmal, ab 05.11.2020, 16:00 - 18:00 (15 Termine)

Module: Analysis III (0084cA1.3)

Analysis III

LV: 19201301

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4 SWS

Klaus Ecker

Lecture

Submod: 0084aA1.3.1

Akt: 16.02.2021 15:20

Tue, 10:00 - 14:00 (Virtueller Raum 29)

Description

References

Literatur

To be announced

Additional information

More information at our website

Additional appointments

Klausur

Hs 1a Hörsaal

Hs 2 Hörsaal

Klaus Ecker

23.02.2021 10:00 - 12:00

Appointment series

Virtueller Raum 29

Klaus Ecker

einmal, ab 03.11.2020, 10:00 - 14:00 (14 Termine)

Practice seminar for Analysis III

LV: 19201302

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2 SWS

Ahmad Al-Afuni

Practice seminar

Submod: 0084aA1.3.2

Akt: 29.10.2020 12:00

Wed, 08:00 - 10:00 (Virtueller Raum 24)

Wed, 12:00 - 14:00 (Virtueller Raum 29)

Mathematics (0084d_k120)

Module: Scientific Work in Mathematics (0084dB1.1)

Seminar Discrete Mathematics I

LV: 19202211

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2 SWS

Tibor Szabo

Seminar

Submod: 0084cB1.1.1

Akt: 05.11.2020 20:00

Thu, 10:00 - 12:00 (A6/SR 025/026 Seminarraum)

Proseminar/Seminar on Group Theory

LV: 19203312

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2 SWS

Kivanc Ersoy

Project Seminar

Submod: 0084cB1.1.1

Akt: 19.02.2021 16:00

Tue, 14:00 - 16:00 (A3/Hs 001 Hörsaal)

Description

Detailed Information can be found on the Homepage of the Seminar/Proseminar on Group Theory.

References

Textbook: Finiteness conditions and Generalized Solvable groups, Derek Robinson

Additional information

Additional appointments

Appointment series

A3/Hs 001 Hörsaal

Kivanc Ersoy

einmal, ab 03.11.2020, 14:00 - 16:00 (15 Termine)

(Undergraduate) Seminar Geometry

LV: 19213710

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2 SWS

Matthias Beck

Sophie Rehberg

Proseminar

Submod: 0084cB1.1.1

Akt: 26.10.2020 12:00

Wed, 14:00 - 16:00 (A6/SR 007/008 Seminarraum)

Description

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Matthias Beck

Sophie Rehberg

einmal, ab 04.11.2020, 14:00 - 16:00 (15 Termine)

(Hi)stories of Dynamics 2

LV: 19239811

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2 SWS

Bernold Fiedler

Isabelle Schneider

Seminar

Submod: 0084cB1.1.1

Akt: 29.10.2020 12:00

Wed, 10:00 - 12:00 (Virtueller Raum 23)

Module: Functional Analysis (0084dB2.2)

Functional Analysis

LV: 19201901

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4 SWS

Holger Reich

Lecture

Submod: 0084bC2.2.1

Akt: 29.10.2020 12:00

Thu, 10:00 - 12:00 (Virtueller Raum 28)

Tue, 10:00 - 12:00 (Virtueller Raum 28)

Description

Target group: Students from the 3rd/4th semester on.

Requirements: Good command of the material of the lectures Analysis I/II and Linear Algebra I/II.

References

Literatur:

Dirk Werner: Funktionalanalysis, 7. Auflage, Springer-Verlag 2011, ISBN 978-3-642-21016-7

Additional appointments

Appointment series

Virtueller Raum 28

Holger Reich

einmal, ab 05.11.2020, 10:00 - 12:00 (15 Termine)

Virtueller Raum 28

Holger Reich

einmal, ab 03.11.2020, 10:00 - 12:00 (15 Termine)

Tutorial: Functional Analysis

LV: 19201902

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2 SWS

Holger Reich

Gabriel James Angelini-Knoll

Practice seminar

Submod: 0084bC2.2.2

Akt: 29.10.2020 12:00

Thu, 14:00 - 16:00 (Virtueller Raum 01)

Description

Dirk Werner: Funktionalanalysis, 6. Auflage, Springer-Verlag 2007, ISBN 978-3-540-72533-6
Hans Wilhelm Alt: Lineare Funktionalanalysis : eine anwendungsorientierte Einführung. 5. Auflage. Springer-Verlag, 2006, ISBN 3-540-34186-2
Harro Heuser: Funktionalanalysis: Theorie und Anwendung. 3. Auflage. Teubner-Verlag, 1992, ISBN 3-519-22206-X

Additional appointments

Appointment series

Virtueller Raum 01

Holger Reich

Gabriel James Angelini-Knoll

einmal, ab 05.11.2020, 14:00 - 16:00 (15 Termine)

Module: Algebra and Number Theory (0084dB2.5)

Algebra and Theory of Numbers

LV: 19200701

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4 SWS

Klaus Altmann

Lecture

Submod: 0084bC1.6.1

Akt: 13.04.2021 16:00

Wed, 11:00 - 15:00 (Hs A (Raum B.006, 200 Pl.)Online - zeitUNabhängig)

Description

Subject matter:
Selected topics from:

Homepage

Additional appointments

Appointment series

Hs A (Raum B.006, 200 Pl.)

Online - zeitUNabhängig

Klaus Altmann

einmal, ab 04.11.2020, 11:00 - 15:00 (15 Termine)

Practice seminar for Algebra and Theory of Numbers

LV: 19200702

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2 SWS

Klaus Altmann

Practice seminar

Submod: 0084bC1.6.2

Akt: 03.03.2021 14:00

Thu, 10:00 - 12:00 (Virtueller Raum 21)

Thu, 10:00 - 12:00 (Virtueller Raum 29)

Module: Data Structures and Data Abstraction with Applications (0084dB2.8)

Algorithms, Data Structures, and Data Abstraction

LV: 19300201

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4 SWS

Günther Rothe

Lecture

Submod: 0084bC6.2.1

Akt: 04.03.2021 11:11

Tue, 14:00 - 16:00 (Virtueller Raum 03)

Thu, 14:00 - 16:00 (Virtueller Raum 03)

Description

Analysis of sorting algorithms: Mergesort, Quicksort, etc.
ADTs priority queue and dictionary and corresponding data structures: heaps, hashing, binary search trees, B-trees, etc.
Graph algorithms: breadth first search and depth first search, topolocigal sorting, minimum spanning trees, shortest paths.
Analysis on Strings.
Memory-management.
Algorithm design: divide-and-conquer, greedy algorithms, dynamic programming.
Mathematical analysis of algorithms: running time, space.

References

P. Morin: Open Data Structures, an open content textboox.
T. H. Cormen, C. Leiserson, R. Rivest, C. Stein: Introduction to Algorithms, MIT Press, 2009.
R. Sedgewick: Algorithms in Java (Part 1–5), Addison-Wesley, 2003.
G. Saake, S. Sattler: Algorithmen und Datenstrukturen, dpunkt.verlag, 2013.
M. Dietzfelbinger, K. Mehlhorn, P. Sanders. Algorithmen und Datenstrukturen: Die Grundwerkzeuge, Springer, 2014.
M.T. Goodrich, R. Tamassia: Data Structures and Algorithms in Java, Wiley, 2014.

Additional appointments

Klausur

Virtueller Raum 01

Günther Rothe

02.03.2021 14:00 - 16:00

Nachklausur

Virtueller Raum 01

Günther Rothe

06.04.2021 13:30 - 14:00

Algorithmen, Datenstrukturen und Datenabstraktion

Virtueller Raum 02

Günther Rothe

06.04.2021 14:00 - 16:00

Appointment series

Virtueller Raum 03

Günther Rothe

einmal, ab 03.11.2020, 14:00 - 16:00 (15 Termine)

Virtueller Raum 03

Günther Rothe

einmal, ab 05.11.2020, 14:00 - 16:00 (15 Termine)

Practice seminar for Algorithms, Data Structures, and Data Abstraction

LV: 19300202

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2 SWS

Günther Rothe

Practice seminar

Submod: 0084bC6.2.2

Akt: 29.10.2020 12:00

Mon, 10:00 - 12:00 (Virtueller Raum 14)

Tue, 16:00 - 18:00 (Virtueller Raum 17)

Mon, 14:00 - 16:00 (Virtueller Raum 16)

Fri, 16:00 - 18:00 (Virtueller Raum 13)

Mon, 16:00 - 18:00 (Virtueller Raum 11)

Thu, 12:00 - 14:00 (Virtueller Raum 13)

Tue, 10:00 - 12:00 (Virtueller Raum 12)

Fri, 08:00 - 10:00 (Virtueller Raum 11)

Fri, 08:00 - 10:00 (Virtueller Raum 16)

Thu, 10:00 - 12:00 (Virtueller Raum 14)

Fri, 12:00 - 14:00 (Virtueller Raum 16)

Additional appointments

Appointment series

Virtueller Raum 14

Günther Rothe

einmal, ab 02.11.2020, 10:00 - 12:00 (15 Termine)

Virtueller Raum 17

Günther Rothe

einmal, ab 03.11.2020, 16:00 - 18:00 (15 Termine)

Virtueller Raum 16

Günther Rothe

einmal, ab 02.11.2020, 14:00 - 16:00 (15 Termine)

Virtueller Raum 13

Günther Rothe

einmal, ab 06.11.2020, 16:00 - 18:00 (15 Termine)

Virtueller Raum 11

Günther Rothe

einmal, ab 02.11.2020, 16:00 - 18:00 (15 Termine)

Virtueller Raum 13

Günther Rothe

einmal, ab 05.11.2020, 12:00 - 14:00 (15 Termine)

Virtueller Raum 12

Günther Rothe

einmal, ab 03.11.2020, 10:00 - 12:00 (15 Termine)

Virtueller Raum 11

Günther Rothe

einmal, ab 06.11.2020, 08:00 - 10:00 (15 Termine)

Virtueller Raum 16

Günther Rothe

einmal, ab 06.11.2020, 08:00 - 10:00 (15 Termine)

Virtueller Raum 14

Günther Rothe

einmal, ab 05.11.2020, 10:00 - 12:00 (15 Termine)

Virtueller Raum 16

Günther Rothe

einmal, ab 06.11.2020, 12:00 - 14:00 (15 Termine)

Module: Current Topics in Mathematics (0084dB2.10)

(Hi)stories of Dynamics 2

LV: 19239811

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2 SWS

Bernold Fiedler

Isabelle Schneider

Seminar

Submod: 0084cB1.1.1

Akt: 29.10.2020 12:00

Wed, 10:00 - 12:00 (Virtueller Raum 23)

Module: Special topics in Pure Mathematics (0084dB2.12)

Practice seminar for Mathematical Panorama

LV: 19236102

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2 SWS

Ralf Kornhuber

Anina Mischau

Practice seminar

Submod: 0084dB2.12.2

Akt: 29.10.2020 12:00

Thu, 14:00 - 16:00 (Virtueller Raum 23)

Module: Algebra I (0084dB3.3)

Basic Module: Algebra I

LV: 19202501

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4 SWS

Alexander Schmitt

Lecture

Submod: 0084aC1.1.1

Akt: 04.11.2020 20:00

Tue, 10:00 - 12:00 (Virtueller Raum 23)

Tue, 14:00 - 16:00 (Virtueller Raum 27)

Description

Content

? Affine algebraic varieties

? Rings, ideals, and modules

? Noetherian rings

? Local rings and localization

? Primary decompositione

? Finite and integral extensions

? Dimension theory

? Regular rings

Target Group
Students with the prerequisites mentioned below.

Homepage: Professor Alexander Schmitt

Additional appointments

Appointment series

Virtueller Raum 23

Alexander Schmitt

einmal, ab 03.11.2020, 10:00 - 12:00 (15 Termine)

Virtueller Raum 27

Alexander Schmitt

einmal, ab 03.11.2020, 14:00 - 16:00 (15 Termine)

Practice seminar for Basic Module: Algebra I

LV: 19202502

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2 SWS

Hanxing Lin

Practice seminar

Submod: 0084aC1.1.2

Akt: 13.10.2021 16:00

Thu, 14:00 - 16:00 (Virtueller Raum 26)

Large tutorial for Basic Module: Algebra I

LV: 19202541

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2 SWS

Marwan Benyoussef

Zentralübung

Submod: 0084aC1.1.2

Akt: 04.11.2020 20:00

Mon, 10:00 - 12:00 (Virtueller Raum 05)

Module: Numerical Mathematics II (0084dB3.4)

Basic Module: Numeric II

LV: 19202101

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4 SWS

Volker John

Lecture

Submod: 0084bC5.1.1

Akt: 04.11.2020 18:00

Mon, 14:00 - 16:00 (T9/Gr. Hörsaal)

Mon, 16:00 - 18:00 (T9/Gr. Hörsaal)

Description

Target Audience: Students of Bachelor and Master courses in Mathematics and of BMS

Prerequisites: Basics of calculus (Analysis I, II) linear algebra (Lineare Algebra I, II) and numerical analysis (Numerik I)

Additional appointments

Appointment series

T9/Gr. Hörsaal

Volker John

einmal, ab 02.11.2020, 14:00 - 16:00 (15 Termine)

T9/Gr. Hörsaal

Volker John

einmal, ab 02.11.2020, 16:00 - 18:00 (15 Termine)

Practice seminar for Basic Module: Numeric II

LV: 19202102

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2 SWS

Volker John

Practice seminar

Submod: 0084bC5.1.2

Akt: 04.11.2020 18:00

Wed, 16:00 - 18:00 (Virtueller Raum 23)

Module: Higher Algorithmics with applications (0084dB3.7)

Advanced Algorithms

LV: 19303501

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4 SWS

László Kozma

Lecture

Submod: 0084dB3.7.1

Akt: 08.04.2021 12:02

Thu, 10:00 - 12:00 (Virtueller Raum 03)

Tue, 10:00 - 12:00 (Virtueller Raum 03)

Description

The class focuses on topics such as

general principles of algorithm design,
network flows,
amortised analysis and advanced data structures,
string matching,
NP-completeness,
approximation algorithms for hard problems,
arithmetic algorithms and circuits, fast fourier transform.

References

Cormen, Leiserson, Rivest, Stein: Introduction to Algorithms, 2nd Ed. McGraw-Hill 2001
Kleinberg, Tardos: Algorithm Design Addison-Wesley 2005.

Additional information

Target audience

All Master and Bachelor students who are interested in algorithms.

Prerequisites

Basic familiarity with the design and analysis of algorithms.

Additional appointments

Klausur

Virtueller Raum 01

László Kozma

05.03.2021 12:00 - 14:00

Nachklausur

Virtueller Raum 11

László Kozma

07.05.2021 12:00 - 14:00

Appointment series

Virtueller Raum 03

László Kozma

einmal, ab 05.11.2020, 10:00 - 12:00 (15 Termine)

Virtueller Raum 03

László Kozma

einmal, ab 03.11.2020, 10:00 - 12:00 (15 Termine)

Practice seminar for Advanced Algorithms

LV: 19303502

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2 SWS

László Kozma

Practice seminar

Submod: 0084dB3.7.2

Akt: 25.03.2021 12:00

Wed, 10:00 - 12:00 (Virtueller Raum 12)

Wed, 14:00 - 16:00 (Virtueller Raum 15)

Module: Analysis I (0084dA1.1)

Analysis I

LV: 19202801

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4 SWS

Carsten Gräser

Lecture

Submod: 0084aA1.1.1

Akt: 26.10.2020 14:00

Tue, 10:00 - 12:00 (T9/Gr. Hörsaal)

Thu, 10:00 - 12:00 (T9/Gr. Hörsaal)

Description

References

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.

Additional appointments

Appointment series

T9/Gr. Hörsaal

Carsten Gräser

einmal, ab 03.11.2020, 10:00 - 12:00 (15 Termine)

T9/Gr. Hörsaal

Carsten Gräser

einmal, ab 05.11.2020, 10:00 - 12:00 (15 Termine)

Practice seminar for Analysis I

LV: 19202802

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2 SWS

Carsten Gräser

Xingjian Zhang-Schneider

Practice seminar

Submod: 0084aA1.1.2

Akt: 26.10.2020 14:00

Tue, 14:00 - 16:00 (A6/SR 025/026 Seminarraum)

Thu, 08:00 - 10:00 (A6/SR 032 Seminarraum)

Thu, 08:00 - 10:00 (A6/SR 031 Seminarraum)

Tue, 08:00 - 10:00 (A6/SR 031 Seminarraum)

Tue, 08:00 - 10:00 (A6/SR 032 Seminarraum)

Wed, 14:00 - 16:00 (A6/SR 031 Seminarraum)

Tue, 14:00 - 16:00 (A6/SR 032 Seminarraum)

Wed, 14:00 - 16:00 (A6/SR 032 Seminarraum)

Additional appointments

Appointment series

A6/SR 025/026 Seminarraum

Carsten Gräser

Xingjian Zhang-Schneider

einmal, ab 03.11.2020, 14:00 - 16:00 (15 Termine)

A6/SR 032 Seminarraum

Carsten Gräser

Xingjian Zhang-Schneider

einmal, ab 05.11.2020, 08:00 - 10:00 (15 Termine)

A6/SR 031 Seminarraum

Carsten Gräser

Xingjian Zhang-Schneider

einmal, ab 05.11.2020, 08:00 - 10:00 (15 Termine)

A6/SR 031 Seminarraum

Carsten Gräser

Xingjian Zhang-Schneider

einmal, ab 03.11.2020, 08:00 - 10:00 (15 Termine)

A6/SR 032 Seminarraum

Carsten Gräser

Xingjian Zhang-Schneider

einmal, ab 03.11.2020, 08:00 - 10:00 (15 Termine)

A6/SR 031 Seminarraum

Carsten Gräser

Xingjian Zhang-Schneider

einmal, ab 04.11.2020, 14:00 - 16:00 (15 Termine)

A6/SR 032 Seminarraum

Carsten Gräser

Xingjian Zhang-Schneider

einmal, ab 03.11.2020, 14:00 - 16:00 (15 Termine)

A6/SR 032 Seminarraum

Carsten Gräser

Xingjian Zhang-Schneider

einmal, ab 04.11.2020, 14:00 - 16:00 (15 Termine)

Module: Analysis II (0084dA1.2)

Analysis II

LV: 19211601

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4 SWS

Dirk Werner

Lecture

Submod: 0084cA1.2.1

Akt: 26.03.2021 20:57

Thu, 08:00 - 10:00 (Virtueller Raum 05)

Tue, 08:00 - 10:00 (Virtueller Raum 05)

Description

Content

Additions to Analysis I. Non-authentic integrals
Uniform convergence of function sequences. Power series. Sentence of Taylor.
Elements of topology. Standardized and metric spaces. Open quantities. Convergence. Completed quantities. Consistency. Compactness
Differential calculus of several variables. Partial, total and continuous differentiability. Block via the inverse function. Block of implicit functions.
Iterated integrals.
Ordinary differential equations. Basic terms, elementary solvable differential equations, existential and unambiguous results for systems.

References

O. Forster: Analysis 1 und 2. Vieweg/Springer.
Königsberger, K: Analysis 1,2, Springer.
E. Behrends: Analysis Band 1 und 2, Vieweg/Springer.
H. Heuser: Lehrbuch der Analysis 1 und 2, Teubner/Springer.

Additional appointments

A6/SR 007/008 Seminarraum

Dirk Werner

04.03.2021 10:00 - 17:00

Analysis II

A6/SR 007/008 Seminarraum

Dirk Werner

11.03.2021 10:00 - 17:00

Nachklausur

Virtueller Raum 02

Dirk Werner

31.03.2021 09:30 - 11:30

Appointment series

Virtueller Raum 05

Dirk Werner

einmal, ab 05.11.2020, 08:00 - 10:00 (15 Termine)

Virtueller Raum 05

Dirk Werner

einmal, ab 03.11.2020, 08:00 - 10:00 (15 Termine)

Practice seminar for Analysis II

LV: 19211602

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2 SWS

Dirk Werner

Practice seminar

Submod: 0084cA1.2.2

Akt: 26.11.2020 12:00

Wed, 10:00 - 12:00 (A6/SR 031 Seminarraum)

Tue, 12:00 - 14:00 (A3/019 Seminarraum)

Tue, 10:00 - 12:00 (A3/019 Seminarraum)

Tue, 12:00 - 14:00 (A6/SR 032 Seminarraum)

Additional appointments

Appointment series

A6/SR 031 Seminarraum

Dirk Werner

einmal, ab 04.11.2020, 10:00 - 12:00 (15 Termine)

A3/019 Seminarraum

Dirk Werner

einmal, ab 03.11.2020, 12:00 - 14:00 (15 Termine)

A3/019 Seminarraum

Dirk Werner

einmal, ab 03.11.2020, 10:00 - 12:00 (15 Termine)

A6/SR 032 Seminarraum

Dirk Werner

einmal, ab 03.11.2020, 12:00 - 14:00 (15 Termine)

Module: Analysis III (0084dA1.3)

Analysis III

LV: 19201301

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4 SWS

Klaus Ecker

Lecture

Submod: 0084aA1.3.1

Akt: 16.02.2021 15:20

Tue, 10:00 - 14:00 (Virtueller Raum 29)

Description

References

Literatur

To be announced

Additional information

More information at our website

Additional appointments

Klausur

Hs 1a Hörsaal

Hs 2 Hörsaal

Klaus Ecker

23.02.2021 10:00 - 12:00

Appointment series

Virtueller Raum 29

Klaus Ecker

einmal, ab 03.11.2020, 10:00 - 14:00 (14 Termine)

Practice seminar for Analysis III

LV: 19201302

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2 SWS

Ahmad Al-Afuni

Practice seminar

Submod: 0084aA1.3.2

Akt: 29.10.2020 12:00

Wed, 08:00 - 10:00 (Virtueller Raum 24)

Wed, 12:00 - 14:00 (Virtueller Raum 29)

Module: Linear Algebra I (0084dA1.4)

Linear Algebra I

LV: 19201401

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4 SWS

Alexandru Constantinescu

Lecture

Submod: 0084aA2.1.1

Akt: 26.11.2020 12:00

Mon, 08:00 - 10:00 (Hs B (Raum B.004, 100 Pl.))

Wed, 08:00 - 10:00 (Hs B (Raum B.004, 100 Pl.))

Description

Content:

Basic terms/concepts: sets, maps, equivalence relations, groups, rings,
fields
Linear equation systems: solvability criteria, Gauss algorithm
Vector spaces: linear independence, generating systems and bases, dimension,
subspaces, quotient spaces, cross products in R3
Linear maps: image and rank, relationship to matrices, behaviour under
change of basis
Dual vector spaces: multilinear forms, alternating and symmetric bilinear
forms, relationship to matices, change of basis
Determinants: Cramer's rule, Eigenvalues and Eigenvectors

Prerequisites:

Participation in the preparatory course (Brückenkurs) is highly recommended.

References

Siegfried Bosch, Lineare Algebra, 4. Auflage, Springer-Verlag, 2008;
Gerd Fischer, Lernbuch Lineare Algebra und Analytische Geometrie, Springer-Verlag, 2017;
Bartel Leendert van der Waerden, Algebra Volume I, 9th Edition, Springer 1993;

Zu den Grundlagen

Kevin Houston, Wie man mathematisch denkt: Eine Einführung in die mathematische Arbeitstechnik für Studienanfänger, Spektrum Akademischer Verlag, 2012

Additional appointments

Appointment series

Hs B (Raum B.004, 100 Pl.)

Alexandru Constantinescu

einmal, ab 02.11.2020, 08:00 - 10:00 (15 Termine)

Hs B (Raum B.004, 100 Pl.)

Alexandru Constantinescu

einmal, ab 04.11.2020, 08:00 - 10:00 (15 Termine)

Practice seminar for Linear Algebra I

LV: 19201402

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2 SWS

Alexandru Constantinescu

Practice seminar

Submod: 0084aA2.1.2

Akt: 26.11.2020 12:00

Fri, 16:00 - 18:00 (A6/SR 032 Seminarraum)

Mon, 10:00 - 12:00 (A6/SR 031 Seminarraum)

Fri, 16:00 - 18:00 (A6/SR 025/026 Seminarraum)

Mon, 10:00 - 12:00 (A6/SR 025/026 Seminarraum)

Wed, 12:00 - 14:00 (A6/SR 032 Seminarraum)

Wed, 10:00 - 12:00 (A6/SR 025/026 Seminarraum)

Wed, 12:00 - 14:00 (A6/SR 025/026 Seminarraum)

Wed, 10:00 - 12:00 (A6/SR 032 Seminarraum)

Additional appointments

Appointment series

A6/SR 032 Seminarraum

Alexandru Constantinescu

einmal, ab 06.11.2020, 16:00 - 18:00 (15 Termine)

A6/SR 031 Seminarraum

Alexandru Constantinescu

einmal, ab 02.11.2020, 10:00 - 12:00 (15 Termine)

A6/SR 025/026 Seminarraum

Alexandru Constantinescu

einmal, ab 06.11.2020, 16:00 - 18:00 (15 Termine)

A6/SR 025/026 Seminarraum

Alexandru Constantinescu

einmal, ab 02.11.2020, 10:00 - 12:00 (15 Termine)

A6/SR 032 Seminarraum

Alexandru Constantinescu

einmal, ab 04.11.2020, 12:00 - 14:00 (15 Termine)

A6/SR 025/026 Seminarraum

Alexandru Constantinescu

einmal, ab 04.11.2020, 10:00 - 12:00 (15 Termine)

A6/SR 025/026 Seminarraum

Alexandru Constantinescu

einmal, ab 04.11.2020, 12:00 - 14:00 (15 Termine)

A6/SR 032 Seminarraum

Alexandru Constantinescu

einmal, ab 04.11.2020, 10:00 - 12:00 (15 Termine)

Module: Linear Algebra II (0084dA1.5)

Linear Algebra II

LV: 19211701

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4 SWS

Pavle Blagojevic

Lecture

Submod: 0084cA1.5.1

Akt: 29.10.2020 12:00

Wed, 08:00 - 10:00 (Virtueller Raum 04)

Fri, 08:00 - 10:00 (Virtueller Raum 04)

Description

Contents:

Eigenvalues and eigenvectors: diagonalizability, trigonalizability, set of Cayley-Hamilton, Jordanian normal form
Vectorräume with scalar product: Euclidean, unitary vectorräume, orthogonal projection, isometries, self-adjusted images, Gram-Schmidt orthonormalization methods, major axis transformation

Prerequisites: Linear Algebra I

Literature:

Will be mentioned in the lecture.

Additional information

See http://page.mi.fu-berlin.de/werner99/.

Additional appointments

Appointment series

Virtueller Raum 04

Pavle Blagojevic

einmal, ab 04.11.2020, 08:00 - 10:00 (15 Termine)

Virtueller Raum 04

Pavle Blagojevic

einmal, ab 06.11.2020, 08:00 - 10:00 (15 Termine)

Practice seminar for Linear Algebra II

LV: 19211702

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2 SWS

Pavle Blagojevic

Practice seminar

Submod: 0084cA1.5.2

Akt: 29.10.2020 12:00

Fri, 10:00 - 12:00 (Virtueller Raum 26)

Thu, 16:00 - 18:00 (Virtueller Raum 20)

Fri, 10:00 - 12:00 (Virtueller Raum 20)

Thu, 16:00 - 18:00 (Virtueller Raum 25)

Additional appointments

Appointment series

Virtueller Raum 26

Pavle Blagojevic

einmal, ab 06.11.2020, 10:00 - 12:00 (15 Termine)

Virtueller Raum 20

Pavle Blagojevic

einmal, ab 05.11.2020, 16:00 - 18:00 (15 Termine)

Virtueller Raum 20

Pavle Blagojevic

einmal, ab 06.11.2020, 10:00 - 12:00 (15 Termine)

Virtueller Raum 25

Pavle Blagojevic

einmal, ab 05.11.2020, 16:00 - 18:00 (15 Termine)

Module: Computer-Oriented Mathematics I (0084dA1.6)

Computerorientated Mathematics I (5 LP)

LV: 19200501

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2 SWS

Ralf Kornhuber

Christof Schütte

Lecture

Submod: 0084aA3.1.1

Akt: 16.11.2020 16:00

Fri, 12:00 - 14:00 (T9/Gr. Hörsaal)

Description

Homepage: All current information on lectures and lectures

References

Literatur: R. Kornhuber, C. Schuette, A. Fest: Mit Zahlen Rechnen (Skript zur Vorlesung)

Additional appointments

Appointment series

T9/Gr. Hörsaal

Ralf Kornhuber

Christof Schütte

einmal, ab 06.11.2020, 12:00 - 14:00 (15 Termine)

Practice seminar for Computerorientated Mathematics I (5 LP)

LV: 19200502

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2 SWS

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

Practice seminar

Submod: 0084aA3.1.2

Akt: 12.02.2021 18:00

Mon, 12:00 - 14:00 (A6/SR 032 Seminarraum)

Wed, 16:00 - 18:00 (A6/SR 025/026 Seminarraum)

Mon, 14:00 - 16:00 (A6/SR 032 Seminarraum)

Fri, 14:00 - 16:00 (A6/SR 031 Seminarraum)

Wed, 14:00 - 16:00 (T9/SR 005 Übungsraum)

Mon, 14:00 - 16:00 (A6/SR 025/026 Seminarraum)

Tue, 14:00 - 16:00 (A3/ 024 Seminarraum )

Mon, 16:00 - 18:00 (A6/SR 025/026 Seminarraum)

Wed, 14:00 - 16:00 (T9/SR 006 Seminarraum)

Mon, 12:00 - 14:00 (A6/SR 025/026 Seminarraum)

Mon, 16:00 - 18:00 (A6/SR 032 Seminarraum)

Fri, 16:00 - 18:00 (T9/046 Seminarraum)

Fri, 16:00 - 18:00 (T9/049 Seminarraum)

Tue, 14:00 - 16:00 (A3/019 Seminarraum)

Fri, 14:00 - 16:00 (A6/SR 032 Seminarraum)

Wed, 16:00 - 18:00 (A6/SR 031 Seminarraum)

Additional appointments

Appointment series

A6/SR 032 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 02.11.2020, 12:00 - 14:00 (15 Termine)

A6/SR 025/026 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 04.11.2020, 16:00 - 18:00 (15 Termine)

A6/SR 032 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 02.11.2020, 14:00 - 16:00 (15 Termine)

A6/SR 031 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 06.11.2020, 14:00 - 16:00 (15 Termine)

T9/SR 005 Übungsraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 04.11.2020, 14:00 - 16:00 (15 Termine)

A6/SR 025/026 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 02.11.2020, 14:00 - 16:00 (15 Termine)

A3/ 024 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 03.11.2020, 14:00 - 16:00 (15 Termine)

A6/SR 025/026 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 02.11.2020, 16:00 - 18:00 (15 Termine)

T9/SR 006 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 04.11.2020, 14:00 - 16:00 (15 Termine)

A6/SR 025/026 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 02.11.2020, 12:00 - 14:00 (15 Termine)

A6/SR 032 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 02.11.2020, 16:00 - 18:00 (15 Termine)

T9/046 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 06.11.2020, 16:00 - 18:00 (15 Termine)

T9/049 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 06.11.2020, 16:00 - 18:00 (15 Termine)

A3/019 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 03.11.2020, 14:00 - 16:00 (15 Termine)

A6/SR 032 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 06.11.2020, 14:00 - 16:00 (15 Termine)

A6/SR 031 Seminarraum

Ralf Kornhuber

N.N.

Lasse Hinrichsen-Bischoff

einmal, ab 04.11.2020, 16:00 - 18:00 (15 Termine)

Module: Stochastics I (0084dA1.8)

Stochastics I

LV: 19200601

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4 SWS

Nicolas Perkowski

Lecture

Submod: 0084bA4.2.1

Akt: 05.03.2021 18:00

Mon, 08:00 - 10:00 (Virtueller Raum 29)

Thu, 08:00 - 10:00 (Virtueller Raum 29)

Description

Inhalt:

Prinzipien des Zählens; Elemente der Kombinatorik
Wahrscheinlichkeitsmaße, Zufallsvariablen, Verteilungsfunktionen
bedingte Wahrscheinlichkeiten; Unabhängigkeit
Erwartungswert, Varianz, Korrelation
Gesetze der großen Zahlen
charakteristische Funktionen, Zentrale Grenzwertsätze
Elemente der Schätz- und Testtheorie
Maximum-Likelihood-Prinzip, Konfidenzintervalle, Hypothesentests

Nähere Informationen finden Sie auf der Homepage der Vorlesung 19200601 Stochastik I.

References

Literatur:

E. Behrends: Elementare Stochastik, Springer, 2013
H.-O. Georgii: Stochastik: Einführung in die Wahrscheinlichkeitstheorie und Statistik, De Gruyter, 2007
A. Klenke: Wahrscheinlichkeitstheorie, Springer, 2013
D. Meintrup, S. Schäffler, Stochastik: Theorie und Anwendungen, Springer, 2005.

Additional information

Zielgruppe: Studierende ab dem 3. Semester
Voraussetzungen: Analysis 1-2, Lineare Algebra 1-2, gleichzeitiger Besuch der Analysis 3 wird empfohlen.

Additional appointments

Klausur

Virtueller Raum 01

Nicolas Perkowski

25.02.2021 08:00 - 10:00

Nachklausur

Virtueller Raum 11

Nicolas Perkowski

07.04.2021 09:00 - 11:00

Appointment series

Virtueller Raum 29

Nicolas Perkowski

einmal, ab 02.11.2020, 08:00 - 10:00 (15 Termine)

Virtueller Raum 29

Nicolas Perkowski

einmal, ab 05.11.2020, 08:00 - 10:00 (15 Termine)

Tutorial: Stochastics I

LV: 19200602

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2 SWS

Nicolas Perkowski

Practice seminar

Submod: 0084bA4.2.2

Akt: 15.03.2021 16:00

Mon, 10:00 - 12:00 (A3/019 Seminarraum)

Mon, 12:00 - 14:00 (A6/SR 031 Seminarraum)

Master's programme in Mathematics

Master's programme in Mathematics (2007 study regulations) (0280a_MA120)

Module: Advanced Module Differential Equations II (0280aA1.2)

Differential Equations II - Dynamical Systems II

LV: 19201601

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4 SWS

Bernold Fiedler

Lecture

Submod: 0084bC2.4.1

Akt: 29.10.2020 12:00

Thu, 10:00 - 12:00 (Virtueller Raum 06)

Tue, 10:00 - 12:00 (Virtueller Raum 06)

Description

Dynamical Systems II (4+2). The content is a selection of the following:

- Dynamical systems in continuous and discrete time;

- Rotation numbers; Circle diffeomorphisms and flows on the 2-torus;

- Stable and unstable manifolds;

- Shift dynamics and chaos;

- Hyperbolic dynamics;

- Center manifolds;

- Poincaré-Birkhoff normal form;

- Introduction to ergodic theory.

Requirement: Differential Equations I

References

Literatur wird in der Vorlesung bekannt gegeben.

Additional appointments

Appointment series

Virtueller Raum 06

Bernold Fiedler

einmal, ab 05.11.2020, 10:00 - 12:00 (15 Termine)

Virtueller Raum 06

Bernold Fiedler

einmal, ab 03.11.2020, 10:00 - 12:00 (15 Termine)

Practice seminar for Differential Equations II - Dynamical Systems II

LV: 19201602

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2 SWS

Alejandro Lopez Nieto

Practice seminar

Submod: 0084bC2.4.2

Akt: 29.10.2020 12:00

Mon, 10:00 - 12:00 (Virtueller Raum 29)

Wed, 16:00 - 18:00 (Virtueller Raum 25)

Module: Specialization Module Discrete Geometry and Optimization (0280aA2.2)

Discrete Geometrie I

LV: 19202001

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4 SWS

Matthias Beck

Lecture

Submod: 0084bC3.1.1

Akt: 12.09.2020 06:00

Fri, 10:00 - 12:00 (T9/Gr. Hörsaal)

Tue, 08:00 - 10:00 (T9/Gr. Hörsaal)

Description

polyhedra and polyhedral complexes
configurations of points, hyperplanes, subspaces
Subdivisions and triangulations (including Delaunay and Voronoi)
Polytope theory
Representations and the theorem of Minkowski-Weyl
polarity, simple/simplicial polytopes, shellability
shellability, face lattices, f-vectors, Euler- and Dehn-Sommerville
graphs, diameters, Hirsch (ex-)conjecture
Geometry of linear programming
linear programs, simplex algorithm, LP-duality
Combinatorial geometry / Geometric combinatorics
Arrangements of points and lines, Sylvester-Gallai, Erdos-Szekeres
Arrangements, zonotopes, zonotopal tilings, oriented matroids
Examples, examples, examples
regular polytopes, centrally symmetric polytopes
extremal polytopes, cyclic/neighborly polytopes, stacked polytopes
combinatorial optimization and 0/1-polytopes

References

G.M. Ziegler "Lectures in Polytopes"
J. Matousek "Lectures on Discrete Geometry"
Further literature will be announced in class.

Additional information

Solid background in linear algebra. Knowledge in combinatorics and geometry is advantageous.

Additional appointments

Appointment series

T9/Gr. Hörsaal

Matthias Beck

einmal, ab 06.11.2020, 10:00 - 12:00 (15 Termine)

T9/Gr. Hörsaal

Matthias Beck

einmal, ab 03.11.2020, 08:00 - 10:00 (15 Termine)

Practice seminar for Discrete Geometrie I

LV: 19202002

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2 SWS

Jonathan Kliem

Practice seminar

Submod: 0084bC3.1.2

Akt: 16.11.2020 09:26

Fri, 14:00 - 16:00 (Virtueller Raum 01)

Thu, 12:00 - 14:00 (Virtueller Raum 24)

Module: "Special Module ""Applied Discrete Mathematics""" (0280aA2.3)

Discrete Mathematics Masterseminar

LV: 19206011

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2 SWS

Tibor Szabo

Seminar

Submod: 0280aA2.3.3

Akt: 12.09.2020 06:00

Mon, 10:00 - 12:00 (T9/SR 005 Übungsraum)

Description

Content:
The seminar covers advanced topics in Extremal and Probabilistic Combinatorics.

Target group:
BMS students, Master students, Diploma students, or advanced Bachelor students.

Prerequisites:
Prerequisite is the successful completion of the modul Discrete Mathematics II or III (or equivalent background: please contact the instructor).

For further information please check the following webpage.

Additional information

Target group: BMS students, Master students, or advanced Bachelor students.

Additional appointments

Appointment series

T9/SR 005 Übungsraum

Tibor Szabo

einmal, ab 02.11.2020, 10:00 - 12:00 (15 Termine)

Module: Advanced Module Commutative Algebra (0280aA3.1)

Basic Module: Algebra I

LV: 19202501

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4 SWS

Alexander Schmitt

Lecture

Submod: 0084aC1.1.1

Akt: 04.11.2020 20:00

Tue, 10:00 - 12:00 (Virtueller Raum 23)

Tue, 14:00 - 16:00 (Virtueller Raum 27)

Description

Content

? Affine algebraic varieties

? Rings, ideals, and modules

? Noetherian rings

? Local rings and localization

? Primary decompositione

? Finite and integral extensions

? Dimension theory

? Regular rings

Target Group
Students with the prerequisites mentioned below.

Homepage: Professor Alexander Schmitt

Additional appointments

Appointment series

Virtueller Raum 23

Alexander Schmitt

einmal, ab 03.11.2020, 10:00 - 12:00 (15 Termine)

Virtueller Raum 27

Alexander Schmitt

einmal, ab 03.11.2020, 14:00 - 16:00 (15 Termine)

Practice seminar for Basic Module: Algebra I

LV: 19202502

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2 SWS

Hanxing Lin

Practice seminar

Submod: 0084aC1.1.2

Akt: 13.10.2021 16:00

Thu, 14:00 - 16:00 (Virtueller Raum 26)

Large tutorial for Basic Module: Algebra I

LV: 19202541

a.SAP verarbeitet

2 SWS

Marwan Benyoussef

Zentralübung

Submod: 0084aC1.1.2

Akt: 04.11.2020 20:00

Mon, 10:00 - 12:00 (Virtueller Raum 05)

Module: Advanced Module Numerics II: Common Differential Equations (0280aA4.1)

Basic Module: Numeric II

LV: 19202101

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4 SWS

Volker John

Lecture

Submod: 0084bC5.1.1

Akt: 04.11.2020 18:00

Mon, 14:00 - 16:00 (T9/Gr. Hörsaal)

Mon, 16:00 - 18:00 (T9/Gr. Hörsaal)

Description

Target Audience: Students of Bachelor and Master courses in Mathematics and of BMS

Prerequisites: Basics of calculus (Analysis I, II) linear algebra (Lineare Algebra I, II) and numerical analysis (Numerik I)

Additional appointments

Appointment series

T9/Gr. Hörsaal

Volker John

einmal, ab 02.11.2020, 14:00 - 16:00 (15 Termine)

T9/Gr. Hörsaal

Volker John

einmal, ab 02.11.2020, 16:00 - 18:00 (15 Termine)

Practice seminar for Basic Module: Numeric II

LV: 19202102

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2 SWS

Volker John

Practice seminar

Submod: 0084bC5.1.2

Akt: 04.11.2020 18:00

Wed, 16:00 - 18:00 (Virtueller Raum 23)

Master's programme in Mathematics (2011 study regulations) (0280b_MA120)

Module: Introductory Module Algebra I (0280bA2.1)

Basic Module: Algebra I

LV: 19202501

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4 SWS

Alexander Schmitt

Lecture

Submod: 0084aC1.1.1

Akt: 04.11.2020 20:00

Tue, 10:00 - 12:00 (Virtueller Raum 23)

Tue, 14:00 - 16:00 (Virtueller Raum 27)

Description

Content

? Affine algebraic varieties

? Rings, ideals, and modules

? Noetherian rings

? Local rings and localization

? Primary decompositione

? Finite and integral extensions

? Dimension theory

? Regular rings

Target Group
Students with the prerequisites mentioned below.

Homepage: Professor Alexander Schmitt

Additional appointments

Appointment series

Virtueller Raum 23

Alexander Schmitt

einmal, ab 03.11.2020, 10:00 - 12:00 (15 Termine)

Virtueller Raum 27

Alexander Schmitt

einmal, ab 03.11.2020, 14:00 - 16:00 (15 Termine)

Practice seminar for Basic Module: Algebra I

LV: 19202502

a.SAP verarbeitet

2 SWS

Hanxing Lin

Practice seminar

Submod: 0084aC1.1.2

Akt: 13.10.2021 16:00

Thu, 14:00 - 16:00 (Virtueller Raum 26)

Large tutorial for Basic Module: Algebra I

LV: 19202541

a.SAP verarbeitet

2 SWS

Marwan Benyoussef

Zentralübung

Submod: 0084aC1.1.2

Akt: 04.11.2020 20:00

Mon, 10:00 - 12:00 (Virtueller Raum 05)

Module: Aufbaumodul Algebra III (0280bA2.3)

Advanced Module: Algebra III

LV: 19222301

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2 SWS

Alexandru Constantinescu

Lecture

Submod: 0280bA2.3.1

Akt: 12.09.2020 06:00

Tue, 12:00 - 14:00 (A6/SR 025/026 Seminarraum)

Description

Course contents: a selection of the following topics

properties of morphisms (proper, projective, smooth)
divisors
(quasi-)coherent sheaves
cohomology
Hilbert functions
the Riemann-Roch Theorem

References

G.R. Kempf: Algebraic varieties. London Mathematical Society Lecture Note
Series. 172. Cambridge: Cambridge University Press. 1993. x, 163 p.

A. Schmitt: Homological algebra, lecture notes.

J.L. Taylor: Several complex variables with connections to algebraic
geometry and Lie groups. Graduate Studies in Mathematics. 46. Providence,
RI: American Mathematical Society. 2002. xvi, 507 p.

Additional appointments

Appointment series

A6/SR 025/026 Seminarraum

Alexandru Constantinescu

einmal, ab 03.11.2020, 12:00 - 14:00 (15 Termine)

Practice seminar for Advanced Module: Algebra III

LV: 19222302

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2 SWS

Alexandru Constantinescu

Practice seminar

Submod: 0280bA2.3.2

Akt: 29.10.2020 16:00

Tue, 14:00 - 16:00 (A7/SR 031)

Module: Forschungsmodul Algebra (0280bA2.4)

Forschungsmodul: Algebra

LV: 19214611

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2 SWS

Klaus Altmann

Seminar

Submod: 0280bA2.4.1

Akt: 29.10.2020 12:00

Mon, 14:00 - 16:00 (Virtueller Raum 21)

Description

Topic: Algebraic Varieties

Homepage: Prof. Altmann

References

Literatur

Wird bekanntgegeben.

Additional information

Zielgruppe:

Studierende im Masterstudiengang Mathematik

Voraussetzungen

Algebra I und II

Homepage: Prof. Altmann

Additional appointments

Appointment series

Virtueller Raum 21

Klaus Altmann

einmal, ab 02.11.2020, 14:00 - 16:00 (15 Termine)

Module: Basismodul Diskrete Mathematik II (0280bA3.2)

Discrete Mathematics II - Algorithmic Comb.

LV: 19205801

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4 SWS

Tibor Szabo

Michael Anastos

Lecture

Submod: 0280bA3.2.1

Akt: 05.11.2020 16:00

Wed, 14:00 - 16:00 (Virtueller Raum 23)

Tue, 12:00 - 14:00 (Virtueller Raum 23)

Description

Topics of the course

Algorithms and complexity (sorting, Dijkstra, TSP, approximation algorithms, matchings vs Hamiltonicity, P vs NP, certificates (Hall, Tutte), Hungarian algorithm, network flows and its applications (Menger, Baranya), (list)-coloring, stable matching (Gale-Shapley Algorithm) and its application (Galvin))
Linear Programming (Simplex Algorithm), Duality and its applications in Combinatorics and Algorithms
Randomized algorithms (randomized matching algorithms, hypergraph-coloring, derandomization, Erdos-Selfridge Criterion, algorithmic Local Lemma)

Further information about the course will be available at the course website: http://discretemath.imp.fu-berlin.de/DMII-2018-19/

References

L. Lovász, J. Pelikán, K. Vesztergombi, Discrete Mathematics
J. Matousek - B. Gaertner, Understanding and Using Linear Programming
D. West, Introduction to Graph Theory

Module: Basismodul Diskrete Geometrie I (0280bA3.3)

Discrete Geometrie I

LV: 19202001

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4 SWS

Matthias Beck

Lecture

Submod: 0084bC3.1.1

Akt: 12.09.2020 06:00

Fri, 10:00 - 12:00 (T9/Gr. Hörsaal)

Tue, 08:00 - 10:00 (T9/Gr. Hörsaal)

Description

polyhedra and polyhedral complexes
configurations of points, hyperplanes, subspaces
Subdivisions and triangulations (including Delaunay and Voronoi)
Polytope theory
Representations and the theorem of Minkowski-Weyl
polarity, simple/simplicial polytopes, shellability
shellability, face lattices, f-vectors, Euler- and Dehn-Sommerville
graphs, diameters, Hirsch (ex-)conjecture
Geometry of linear programming
linear programs, simplex algorithm, LP-duality
Combinatorial geometry / Geometric combinatorics
Arrangements of points and lines, Sylvester-Gallai, Erdos-Szekeres
Arrangements, zonotopes, zonotopal tilings, oriented matroids
Examples, examples, examples
regular polytopes, centrally symmetric polytopes
extremal polytopes, cyclic/neighborly polytopes, stacked polytopes
combinatorial optimization and 0/1-polytopes

References

G.M. Ziegler "Lectures in Polytopes"
J. Matousek "Lectures on Discrete Geometry"
Further literature will be announced in class.

Additional information

Solid background in linear algebra. Knowledge in combinatorics and geometry is advantageous.

Additional appointments

Appointment series

T9/Gr. Hörsaal

Matthias Beck

einmal, ab 06.11.2020, 10:00 - 12:00 (15 Termine)

T9/Gr. Hörsaal

Matthias Beck

einmal, ab 03.11.2020, 08:00 - 10:00 (15 Termine)

Practice seminar for Discrete Geometrie I

LV: 19202002

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2 SWS

Jonathan Kliem

Practice seminar

Submod: 0084bC3.1.2

Akt: 16.11.2020 09:26

Fri, 14:00 - 16:00 (Virtueller Raum 01)

Thu, 12:00 - 14:00 (Virtueller Raum 24)

Module: Aufbaumodul Diskrete Geometrie III (0280bA3.6)

Advanced Module: Discrete Geometry III

LV: 19205901

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2 SWS

Matthias Beck

Lecture

Submod: 0280bA3.6.1

Akt: 12.09.2020 06:00

Tue, 10:00 - 12:00 (A3/ 024 Seminarraum )

Description

This is the third in a series of three courses on discrete geometry. This advanced course will cover a selection of the following topics (depending on the interests of the audience):

1. Oriented Matroids along the lines of the book Oriented Matroids by Björner, Las Vergnas, Sturmfels, White, and Ziegler; and/or

2. Triangulations along the lines of the book Triangulations by de Loera, Rambau, and Santos; and/or

3. Discriminants and tropical geometry along the lines of the book Discriminants, Resultants, and multidimensional determinants by Gelfand, Kapranov, and Zelevinsky; and/or

4. Combinatorics and commutative algebra along the lines of the book Combinatorics and commutative algebra by Stanley.

References

Will be announced in class.

Additional information

The target audience are students with a solid background in discrete geometry and/or convex geometry (en par with Discrete Geometry I & II). The topic of this course is a state-of-art of advanced topics in discrete geometry that find applications and incarnations in differential geometry, topology, combinatorics, and algebraic geometry.

Requirements: Preferably Discrete Geometry I and II.

Additional appointments

Appointment series

A3/ 024 Seminarraum

Matthias Beck

einmal, ab 03.11.2020, 10:00 - 12:00 (15 Termine)

Practice seminar for Advanced Module: Discrete Geometry III

LV: 19205902

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2 SWS

Sophie Rehberg

Practice seminar

Submod: 0280bA3.6.2

Akt: 12.09.2020 06:00

Thu, 10:00 - 12:00 (A6/SR 007/008 Seminarraum)

Module: Forschungsmodul Diskrete Mathematik (0280bA3.7)

Discrete Mathematics Masterseminar

LV: 19206011

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2 SWS

Tibor Szabo

Seminar

Submod: 0280aA2.3.3

Akt: 12.09.2020 06:00

Mon, 10:00 - 12:00 (T9/SR 005 Übungsraum)

Description

Content:
The seminar covers advanced topics in Extremal and Probabilistic Combinatorics.

Target group:
BMS students, Master students, Diploma students, or advanced Bachelor students.

Prerequisites:
Prerequisite is the successful completion of the modul Discrete Mathematics II or III (or equivalent background: please contact the instructor).

For further information please check the following webpage.

Additional information

Target group: BMS students, Master students, or advanced Bachelor students.

Additional appointments

Appointment series

T9/SR 005 Übungsraum

Tibor Szabo

einmal, ab 02.11.2020, 10:00 - 12:00 (15 Termine)

Module: Research Module Topology (0280bA4.5)

Research Module: Topology

LV: 19223811

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2 SWS

Gabriel James Angelini-Knoll

Seminar

Submod: 0280bA4.5.1

Akt: 03.11.2020 16:30

Tue, 16:00 - 18:00 (Virtueller Raum 02)

Module: Introductory Module Numerical Analysis II (0280bA5.1)

Basic Module: Numeric II

LV: 19202101

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4 SWS

Volker John

Lecture

Submod: 0084bC5.1.1

Akt: 04.11.2020 18:00

Mon, 14:00 - 16:00 (T9/Gr. Hörsaal)

Mon, 16:00 - 18:00 (T9/Gr. Hörsaal)

Description

Target Audience: Students of Bachelor and Master courses in Mathematics and of BMS

Prerequisites: Basics of calculus (Analysis I, II) linear algebra (Lineare Algebra I, II) and numerical analysis (Numerik I)

Additional appointments

Appointment series

T9/Gr. Hörsaal

Volker John

einmal, ab 02.11.2020, 14:00 - 16:00 (15 Termine)

T9/Gr. Hörsaal

Volker John

einmal, ab 02.11.2020, 16:00 - 18:00 (15 Termine)

Practice seminar for Basic Module: Numeric II

LV: 19202102

a.SAP verarbeitet

2 SWS

Volker John

Practice seminar

Submod: 0084bC5.1.2

Akt: 04.11.2020 18:00

Wed, 16:00 - 18:00 (Virtueller Raum 23)

Module: Aufbaumodul Numerik IV (0280bA5.3)

Advanced Module: Numerics IV

LV: 19206401

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2 SWS

Ralf Kornhuber

Lecture

Submod: 0280bA5.3.1

Akt: 29.10.2020 12:00

Thu, 10:00 - 12:00 ()

Description

Content:

Multiple scales are ubiquitous in a plurality of processes and phenomena and therefore attract considerable attention both in mathematical and natural science researach (see, e.g., CRC 1114 at FU Berlin). In this lecture we will concentrate on elliptic problems with an highly oscillatory or random behaviour due to corresponding coefficient functions. In particular, we will present new results on a class of variational multiscale methods based on subspace decomposition and adaptive multilevel Monte Carlo (MLMC) methods. If time permits, parabolic problems and random pdes will be also addressed.

Target audience:
Students in the Master Course Mathematics or BMS (Phase I)

Prerequisites:
Basic knowledge on theory and numerics of elliptic pdes as considered, e.g. in the lecture "Numerik von partiellen Differentialgleichungen" (Numerik III) at FU.

Homepage: More Information can be found on the Homepage

References

[1] Allaire, G. (1992). Homogenization and two-scale convergence. SIAM Journal on Mathematical Analysis, 23(6), 1482-1518.

[2] Målqvist, A., & Peterseim, D. (2014). Localization of elliptic multiscale problems. Mathematics of Computation, 83(290), 2583-2603

[3] Kornhuber, R., & Yserentant, H. (2016). Numerical homogenization of elliptic multiscale problems by subspace decomposition. Multiscale Modeling & Simulation, 14(3), 1017-1036.

[4] Kornhuber, R., Peterseim, D., & Yserentant, H. (2018). An analysis of a class of variational multiscale methods based on subspace decomposition. Mathematics of Computation, 87(314), 2765-2774

[5] Le Maître, O., & Knio, O. M. (2010). Spectral methods for uncertainty quantification: with applications to computational fluid dynamics. Springer Science & Business Media.

Additional appointments

Appointment series

Ralf Kornhuber

einmal, ab 05.11.2020, 10:00 - 12:00 (15 Termine)

Practice seminar for Advanced Module: Numerics IV

LV: 19206402

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2 SWS

Ralf Kornhuber

Xingjian Zhang-Schneider

Practice seminar

Submod: 0280bA5.3.2

Akt: 29.10.2020 12:00

Wed, 10:00 - 12:00 (Virtueller Raum 21)

Mathematical Modelling in Climate Research

LV: 19215301

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2 SWS

Niklas Boers

Lecture

Submod: 0280bA5.3.1

Akt: 29.10.2020 12:00

Thu, 12:00 - 14:00 (Virtueller Raum 23)

Description

Content:

Mathematics plays a central role in the development of methods for the analysis and modelling of climate variability. Controlled physical experiments are out of question, and the only way we can study Earth’s climate system is through mathematical models, computational experiments, and data analysis.

Mathematical Models of the physical processes relevant for the climate system cannot (and should not) deliver a perfect one-to-one image of the underlying natural system. To nevertheless obtain a closed and consistent description of the system in terms of a hieracrchy of models with increasing complexity, great mathematical care is required when performing the necessary approximations and parametrizations, as well as when comparing model simulations to corresponding observational data.

This course focuses on techniques of mathematical modeling of different parts of the climate system that assist scientists in exploring the listed issues systematically. The course will cover a selection from the following topics

1. (Random) Dynamical Systems and Bifurcation Theory,

2. Introduction to the most relevant processes of climate dynamics

3. Conservation laws and simple climate models,

4. Mathematical models for the data-based characterization and modelling of the climate system

5. Mathematical description of critical transitions in the climate system

References

Literaturhinweise werden anfangs des Semesters in Abhängigkeit von
der Themenauswahl gegeben.  

Interessante Startpunkte, die einen ersten Einstieg in obige drei
Hauptpunkte erlauben, sind  

Klein R.,
Scale-Dependent Asymptotic Models for Atmospheric Flows,
Ann. Rev. Fluid Mech., vol. 42, 249-274 (2010)

D. Durran, 
Numerical Methods for Fluid Dynamics with Applications to Geophysics, 
Springer, Computational Science and Engineering Series, (2010)

Metzner Ph., Putzig L., Horenko I.,
Analysis of persistent nonstationary time series and applications
Comm. Appl. Math. & Comput. Sci., vol. 7, 175-229 (2012)

Tennekes and Lumley, A first course in Turbulence, MIT Press (1974)

Additional appointments

Appointment series

Virtueller Raum 23

Niklas Boers

einmal, ab 05.11.2020, 12:00 - 14:00 (15 Termine)

Practice seminar for Mathematical Modelling in Climate Research

LV: 19215302

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2 SWS

Mark Schlutow

Niklas Boers

Practice seminar

Submod: 0280bA5.3.2

Akt: 29.10.2020 12:00

Fri, 14:00 - 16:00 (Virtueller Raum 29)

Module: Basismodul Differentialgleichungen II (0280bA6.2)

Differential Equations II - Dynamical Systems II

LV: 19201601

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4 SWS

Bernold Fiedler

Lecture

Submod: 0084bC2.4.1

Akt: 29.10.2020 12:00

Thu, 10:00 - 12:00 (Virtueller Raum 06)

Tue, 10:00 - 12:00 (Virtueller Raum 06)

Description

Dynamical Systems II (4+2). The content is a selection of the following:

- Dynamical systems in continuous and discrete time;

- Rotation numbers; Circle diffeomorphisms and flows on the 2-torus;

- Stable and unstable manifolds;

- Shift dynamics and chaos;

- Hyperbolic dynamics;

- Center manifolds;

- Poincaré-Birkhoff normal form;

- Introduction to ergodic theory.

Requirement: Differential Equations I

References

Literatur wird in der Vorlesung bekannt gegeben.

Additional appointments

Appointment series

Virtueller Raum 06

Bernold Fiedler

einmal, ab 05.11.2020, 10:00 - 12:00 (15 Termine)

Virtueller Raum 06

Bernold Fiedler

einmal, ab 03.11.2020, 10:00 - 12:00 (15 Termine)

Practice seminar for Differential Equations II - Dynamical Systems II

LV: 19201602

a.SAP verarbeitet

2 SWS

Alejandro Lopez Nieto

Practice seminar

Submod: 0084bC2.4.2

Akt: 29.10.2020 12:00

Mon, 10:00 - 12:00 (Virtueller Raum 29)

Wed, 16:00 - 18:00 (Virtueller Raum 25)

Module: Forschungsmodul Angewandte Analysis und Differentialgleichungen (0280bA6.4)

(Hi)stories of Dynamics 2

LV: 19239811

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2 SWS

Bernold Fiedler

Isabelle Schneider

Seminar

Submod: 0084cB1.1.1

Akt: 29.10.2020 12:00

Wed, 10:00 - 12:00 (Virtueller Raum 23)

Module: Ergänzungsmodul Ausgewählte Themen (0280bA7.1)

Differential Equations II - Dynamical Systems II

LV: 19201601

a.SAP verarbeitet

4 SWS

Bernold Fiedler

Lecture

Submod: 0084bC2.4.1

Akt: 29.10.2020 12:00

Thu, 10:00 - 12:00 (Virtueller Raum 06)

Tue, 10:00 - 12:00 (Virtueller Raum 06)

Description

Dynamical Systems II (4+2). The content is a selection of the following:

- Dynamical systems in continuous and discrete time;

- Rotation numbers; Circle diffeomorphisms and flows on the 2-torus;

- Stable and unstable manifolds;

- Shift dynamics and chaos;

- Hyperbolic dynamics;

- Center manifolds;

- Poincaré-Birkhoff normal form;

- Introduction to ergodic theory.

Requirement: Differential Equations I

References

Literatur wird in der Vorlesung bekannt gegeben.

Additional appointments

Appointment series

Virtueller Raum 06

Bernold Fiedler

einmal, ab 05.11.2020, 10:00 - 12:00 (15 Termine)

Virtueller Raum 06

Bernold Fiedler

einmal, ab 03.11.2020, 10:00 - 12:00 (15 Termine)

Practice seminar for Differential Equations II - Dynamical Systems II

LV: 19201602

a.SAP verarbeitet

2 SWS

Alejandro Lopez Nieto

Practice seminar

Submod: 0084bC2.4.2

Akt: 29.10.2020 12:00

Mon, 10:00 - 12:00 (Virtueller Raum 29)

Wed, 16:00 - 18:00 (Virtueller Raum 25)

Basic Module: Algebra I

LV: 19202501

a.SAP verarbeitet

4 SWS

Alexander Schmitt

Lecture

Submod: 0084aC1.1.1

Akt: 04.11.2020 20:00

Tue, 10:00 - 12:00 (Virtueller Raum 23)

Tue, 14:00 - 16:00 (Virtueller Raum 27)

Description

Content

? Affine algebraic varieties

? Rings, ideals, and modules

? Noetherian rings

? Local rings and localization

? Primary decompositione

? Finite and integral extensions

? Dimension theory

? Regular rings

Target Group
Students with the prerequisites mentioned below.

Homepage: Professor Alexander Schmitt

Additional appointments

Appointment series

Virtueller Raum 23

Alexander Schmitt

einmal, ab 03.11.2020, 10:00 - 12:00 (15 Termine)

Virtueller Raum 27

Alexander Schmitt

einmal, ab 03.11.2020, 14:00 - 16:00 (15 Termine)

Practice seminar for Basic Module: Algebra I

LV: 19202502

a.SAP verarbeitet

2 SWS

Hanxing Lin

Practice seminar

Submod: 0084aC1.1.2

Akt: 13.10.2021 16:00

Thu, 14:00 - 16:00 (Virtueller Raum 26)

Large tutorial for Basic Module: Algebra I

LV: 19202541

a.SAP verarbeitet

2 SWS

Marwan Benyoussef

Zentralübung

Submod: 0084aC1.1.2

Akt: 04.11.2020 20:00

Mon, 10:00 - 12:00 (Virtueller Raum 05)

Discrete Mathematics II - Algorithmic Comb.

LV: 19205801

a.SAP verarbeitet

4 SWS

Tibor Szabo

Michael Anastos

Lecture

Submod: 0280bA3.2.1

Akt: 05.11.2020 16:00

Wed, 14:00 - 16:00 (Virtueller Raum 23)

Tue, 12:00 - 14:00 (Virtueller Raum 23)

Description

Topics of the course

Algorithms and complexity (sorting, Dijkstra, TSP, approximation algorithms, matchings vs Hamiltonicity, P vs NP, certificates (Hall, Tutte), Hungarian algorithm, network flows and its applications (Menger, Baranya), (list)-coloring, stable matching (Gale-Shapley Algorithm) and its application (Galvin))
Linear Programming (Simplex Algorithm), Duality and its applications in Combinatorics and Algorithms
Randomized algorithms (randomized matching algorithms, hypergraph-coloring, derandomization, Erdos-Selfridge Criterion, algorithmic Local Lemma)

Further information about the course will be available at the course website: http://discretemath.imp.fu-berlin.de/DMII-2018-19/

References

L. Lovász, J. Pelikán, K. Vesztergombi, Discrete Mathematics
J. Matousek - B. Gaertner, Understanding and Using Linear Programming
D. West, Introduction to Graph Theory

Program

Polymer Physics: Structure and Dynamics

(a) Theoretical/analytic approaches
(b) Physical and chemical Modeling
(c) Simulation

Biological Membranes

(a) Theoretical/analytic approaches
(b) Physical and chemical Modeling
(c) Simulation

Introduction to Colloids and Liquid Crystals

Theory and Simulation

Introduction to Hydrodynamic scale for large Biological Systems:

Examples are e.g. Cellular processes, Red Blood Cells in Capillary Flow, etc. (Theory and Simulation)

References

Basic Literature:

Introduction to Polymer Physics by M. Doi
Soft Matter Physics by M. Doi
Biomembrane Frontiers: Nanostructures, Models, and the Design of Life (Handbook of Modern Biophysics) by von Thomas Jue, Subhash H. Risbud, Marjorie L. Longo, Roland Faller (Editors)

Additional information

Audience: Master students of Mathematics and Physics interested in mathematical theory and computational modeling of Soft Matter Systems.

Requirements: Basic Knowledge of statistical physics and of dynamics, computer programming

Additional appointments

Appointment series

Virtueller Raum 26

Luigi Delle Site

einmal, ab 04.11.2020, 10:00 - 14:00 (15 Termine)

Virtueller Raum 26

Luigi Delle Site

einmal, ab 02.11.2020, 10:00 - 14:00 (15 Termine)

Practice seminar for Soft Matter: Mathematical Aspects, Physical Modeling and Computer Simulation

LV: 19225102

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2 SWS

Luigi Delle Site

Practice seminar

Submod: 0280bA7.1.2

Akt: 29.10.2020 12:00

Thu, 12:00 - 14:00 (Virtueller Raum 29)

Cryptography and Security in Distributed Systems

LV: 19303601

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4 SWS

Volker Roth

Lecture

Submod: 0084bC3.6.1

Akt: 29.10.2020 12:00

Tue, 16:00 - 18:00 (Virtueller Raum 01)

Thu, 12:00 - 14:00 (Virtueller Raum 01)

Description

This course gives an introduction to cryptography and cryptographic key management, as well as an introduction to cryptographic protocols and their application in the field of security in distributed systems. Relevant mathematical tools will be developed accordingly. In addition, the lecture addresses the importance of implementation details in the context of IT system security.

References

Jonathan Katz and Yehuda Lindell, Introduction to Modern Cryptography, 2008
Lindsay N. Childs, A Concrete Introduction to Higher Algebra. Springer Verlag, 1995.
Johannes Buchmann, Einfuehrung in die Kryptographie. Springer Verlag, 1999.

Weitere noch zu bestimmende Literatur und Primärquellen.

Additional information

Requirements: Participants must have a good mathematical understanding and good knowledge of computer security and networking.