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

Dirk Werner

Lecture

Submod: 0084aA1.1.1

Akt: 29.10.2020 16:00

Thu, 08:00 - 10:00 (A3/Hs 001 Hörsaal)

Tue, 08:00 - 10:00 (A3/Hs 001 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

Additional appointments

Klausur

Virtueller Raum 02

Dirk Werner

31.08.2020 16:00 - 18:00

Analysis I

A6/SR 007/008 Seminarraum

Dirk Werner

02.09.2020 10:00 - 18:00

Korrektur der Wiederholungsklausur Analysis I, SS 2020

A6/SR 007/008 Seminarraum

Dirk Werner

29.10.2020 10:00 - 16:00

Appointment series

A3/Hs 001 Hörsaal

Dirk Werner

einmal, ab 16.04.2020, 08:00 - 10:00 (13 Termine)

A3/Hs 001 Hörsaal

Dirk Werner

einmal, ab 21.04.2020, 08:00 - 10:00 (13 Termine)

Practice seminar for Analysis I

LV: 19202802

a.SAP verarbeitet

2 SWS

Dirk Werner

Practice seminar

Submod: 0084aA1.1.2

Akt: 14.04.2020 14:00

Wed, 10:00 - 12:00 (A6/SR 009 Seminarraum)

Wed, 10:00 - 12:00 (A7/SR 140 Seminarraum (Hinterhaus))

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

Tue, 14:00 - 16:00 (A3/SR 119)

Additional appointments

Appointment series

A6/SR 009 Seminarraum

Dirk Werner

einmal, ab 15.04.2020, 10:00 - 12:00 (14 Termine)

A7/SR 140 Seminarraum (Hinterhaus)

Dirk Werner

einmal, ab 15.04.2020, 10:00 - 12:00 (14 Termine)

A6/SR 031 Seminarraum

Dirk Werner

einmal, ab 15.04.2020, 14:00 - 16:00 (14 Termine)

A3/SR 119

Dirk Werner

einmal, ab 14.04.2020, 14:00 - 16:00 (14 Termine)

Module: Linear Algebra I (0084aA2.1)

Linear Algebra I

LV: 19201401

a.SAP verarbeitet

4 SWS

Pavle Blagojevic

Lecture

Submod: 0084aA2.1.1

Akt: 05.05.2020 22:00

Mon, 08:00 - 10:00 (A3/Hs 001 Hörsaal)

Wed, 08:00 - 10:00 (A3/Hs 001 Hörsaal)

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

Literatur:
Siegfried Bosch, Lineare Algebra, 4. Auflage, Springer-Verlag, 2008;
Tammo tom Dieck, Lineare Algebra, Skript, Universität Göttingen Version vom 7.10.2014

Additional appointments

Appointment series

A3/Hs 001 Hörsaal

Pavle Blagojevic

einmal, ab 20.04.2020, 08:00 - 10:00 (12 Termine)

A3/Hs 001 Hörsaal

Pavle Blagojevic

einmal, ab 15.04.2020, 08:00 - 10:00 (14 Termine)

Practice seminar for Linear Algebra I

LV: 19201402

a.SAP verarbeitet

2 SWS

Pavle Blagojevic

Practice seminar

Submod: 0084aA2.1.2

Akt: 05.10.2020 18:00

Wed, 12:00 - 14:00 (A3/SR 119)

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

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

Wed, 12:00 - 14:00 (A6/SR 007/008 Seminarraum)

Additional appointments

Appointment series

A3/SR 119

Pavle Blagojevic

einmal, ab 15.04.2020, 12:00 - 14:00 (14 Termine)

A6/SR 032 Seminarraum

Pavle Blagojevic

einmal, ab 16.04.2020, 12:00 - 14:00 (13 Termine)

A6/SR 025/026 Seminarraum

Pavle Blagojevic

einmal, ab 16.04.2020, 12:00 - 14:00 (13 Termine)

A6/SR 007/008 Seminarraum

Pavle Blagojevic

einmal, ab 15.04.2020, 12:00 - 14:00 (14 Termine)

Module: Computer-Oriented Mathematics II (0084aA3.2)

Computer-oriented Mathematics II

LV: 19211901

a.SAP verarbeitet

2 SWS

Carsten Gräser

Lecture

Submod: 0084aA3.2.1

Akt: 14.04.2020 14:00

Fri, 12:00 - 14:00 (T9/Gr. Hörsaal)

Description

Inhalt:

Die Auswahl der behandelten numerischen Verfahren enthält Polynominterpolation, Newton-Cotes-Formeln zur numerische Integration und Euler-Verfahren für lineare Differentialgleichungen.

Additional information

Studierende der Mathematik (Monobachelor und Lehramt) und Bioinformatik, sowie Numerikinteressierte aus Physik, Informatik und anderen Natur- und Geisteswissenschaften.

Additional appointments

Appointment series

T9/Gr. Hörsaal

Carsten Gräser

einmal, ab 17.04.2020, 12:00 - 14:00 (12 Termine)

Practice seminar for Computer-oriented Mathematics II

LV: 19211902

a.SAP verarbeitet

2 SWS

Carsten Gräser

Practice seminar

Submod: 0084aA3.2.2

Akt: 14.04.2020 14:00

Tue, 12:00 - 14:00 (A6/SR 009 Seminarraum)

Tue, 16:00 - 18:00 (KöLu24-26/SR 006 Neuro/Mathe)

Thu, 12:00 - 14:00 (A7/SR 140 Seminarraum (Hinterhaus))

Tue, 12:00 - 14:00 (A3/SR 119)

Tue, 16:00 - 18:00 (A6/SR 009 Seminarraum)

Wed, 14:00 - 16:00 (A6/SR 009 Seminarraum)

Wed, 14:00 - 16:00 (A7/SR 140 Seminarraum (Hinterhaus))

Wed, 16:00 - 18:00 (A3/SR 119)

Additional appointments

Appointment series

A6/SR 009 Seminarraum

Carsten Gräser

einmal, ab 14.04.2020, 12:00 - 14:00 (14 Termine)

KöLu24-26/SR 006 Neuro/Mathe

Carsten Gräser

einmal, ab 14.04.2020, 16:00 - 18:00 (14 Termine)

A7/SR 140 Seminarraum (Hinterhaus)

Carsten Gräser

einmal, ab 16.04.2020, 12:00 - 14:00 (13 Termine)

A3/SR 119

Carsten Gräser

einmal, ab 14.04.2020, 12:00 - 14:00 (14 Termine)

A6/SR 009 Seminarraum

Carsten Gräser

einmal, ab 14.04.2020, 16:00 - 18:00 (14 Termine)

A6/SR 009 Seminarraum

Carsten Gräser

einmal, ab 15.04.2020, 14:00 - 16:00 (14 Termine)

A7/SR 140 Seminarraum (Hinterhaus)

Carsten Gräser

einmal, ab 15.04.2020, 14:00 - 16:00 (14 Termine)

A3/SR 119

Carsten Gräser

einmal, ab 15.04.2020, 16:00 - 18:00 (14 Termine)

Module: Introduction to Numerical Mathematics (Numerics I) (0084aA4.1)

Numerics I

LV: 19212001

a.SAP verarbeitet

4 SWS

Volker John

Lecture

Submod: 0084aA4.1.1

Akt: 14.04.2020 14:00

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

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

Description

Numerical methods for: iterative solution of nonlinear systems of equations (fixpoint and Newton methods), curve fitting, interpolation, numerical quadrature, and numerics of ODE systems.

References

Stoer, Josef und Roland Bulirsch: Numerische Mathematik - eine Einführung, Band 1. Springer, Berlin, 2005.

Aus dem FU-Netz auch online verfügbar.

Link

Additional appointments

Appointment series

A6/SR 032 Seminarraum

Volker John

einmal, ab 20.04.2020, 10:00 - 12:00 (12 Termine)

A6/SR 032 Seminarraum

Volker John

einmal, ab 15.04.2020, 10:00 - 12:00 (14 Termine)

Practice seminar for Numerics I

LV: 19212002

a.SAP verarbeitet

2 SWS

Volker John

Gottfried Hastermann

Practice seminar

Submod: 0084aA4.1.2

Akt: 11.08.2020 14:00

Wed, 12:00 - 14:00 (T9/046 Seminarraum)

Mon, 08:00 - 10:00 (T9/046 Seminarraum)

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

Thu, 08:00 - 10:00 (A7/SR 140 Seminarraum (Hinterhaus))

Additional information

Alle aktuellen Informationen zu Vorlesung und Übungen

Additional appointments

Appointment series

T9/046 Seminarraum

Volker John

Gottfried Hastermann

einmal, ab 15.04.2020, 12:00 - 14:00 (14 Termine)

T9/046 Seminarraum

Volker John

Gottfried Hastermann

einmal, ab 20.04.2020, 08:00 - 10:00 (12 Termine)

A3/ 024 Seminarraum

Volker John

Gottfried Hastermann

einmal, ab 17.04.2020, 14:00 - 16:00 (12 Termine)

A7/SR 140 Seminarraum (Hinterhaus)

Volker John

Gottfried Hastermann

einmal, ab 16.04.2020, 08:00 - 10:00 (13 Termine)

Module: Main Lecture - Discrete Mathematics I (0084aC3.1)

Discrete Mathematics I

LV: 19214701

a.SAP verarbeitet

4 SWS

Tibor Szabo

Lecture

Submod: 0084aC3.1.1

Akt: 26.08.2020 13:19

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

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

Description

Content:

Selection from the following topics:

Enumeration (twelvefold way, inclusion-exclusion, double counting, recursions, generating functions, inversion, Ramsey's Theorem, asymptotic counting)
Discrete Structures (graphs, set systems, designs, posets, matroids)
Graph Theory (trees, matchings, connectivity, planarity, colorings)

For further information, please see: http://discretemath.imp.fu-berlin.de/DMI-2020/

References

M. Aigner: Diskrete Mathematik
R. Diestel: Graph Theory
J. Matousek, J. Nesetril: An invitation to Discrete Mathematics
D. West: Introduction to Graph Theory

Additional information

Target group:

BMS students, Master and Bachelor students

Additional appointments

Klausur (der Termin findet im Hörsaal 1a, Habelschwerdter Allee 45, Rostlaube statt).

Hs 1a Hörsaal

Tibor Szabo

22.07.2020 13:00 - 16:00

Diskrete Mathematik I - Klausureinsicht

A3/Hs 001 Hörsaal

Tibor Szabo

28.08.2020 14:00 - 16:00

Nachklausur (der Termin findet in der Mensa statt)

Speisesaal Mensa II

Tibor Szabo

09.10.2020 10:00 - 13:00

Appointment series

A6/SR 032 Seminarraum

Tibor Szabo

einmal, ab 15.04.2020, 14:00 - 16:00 (14 Termine)

A6/SR 032 Seminarraum

Tibor Szabo

einmal, ab 14.04.2020, 14:00 - 16:00 (14 Termine)

Practice seminar for Discrete Mathematics I

LV: 19214702

a.SAP verarbeitet

2 SWS

Tibor Szabo

Michael Anastos

Practice seminar

Submod: 0084aC3.1.2

Akt: 29.04.2020 20:00

Wed, 08:00 - 10:00 (A3/ 024 Seminarraum )

Tue, 16:00 - 18:00 (A6/SR 007/008 Seminarraum)

Description

Content:

Selection from the following topics:

Counting (basics, double counting, Pigeonhole Principle, recursions, generating functions, Inclusion-Exclusion, inversion, Polya theory)
Discrete Structures (graphs, set systems, designs, posets, matroids)
Graph Theory (trees, matchings, connectivity, planarity, colorings)
Algorithms (asymptotic running time, BFS, DFS, Dijkstra, Greedy, Kruskal, Hungarian, Ford-Fulkerson)

Additional appointments

Appointment series

A3/ 024 Seminarraum

Tibor Szabo

Michael Anastos

einmal, ab 15.04.2020, 08:00 - 10:00 (14 Termine)

A6/SR 007/008 Seminarraum

Tibor Szabo

Michael Anastos

einmal, ab 14.04.2020, 16:00 - 18:00 (14 Termine)

Module: Main Lecture Stochastics II (0084aC7.2)

Stochastics II

LV: 19212901

a.SAP verarbeitet

4 SWS

Nicolas Perkowski

Lecture

Submod: 0084aC7.2.1

Akt: 13.10.2020 10:04

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

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

Description

Contents:

Construction of stochastic processes;
conditional expectation;
martingales in discrete time: convergence, stopping theorems, inequalities;
convergence types in stochastics;
uniform integrability;
Markov chains in discrete and continuous time: recurrence and transience, invariant measures;
convergence in distribution of stochatic processes;
Brownian motion and invariance principle.

Detailed Information can be found on the Homepage of 19212901 Basismodul: Stochastics II.

References

Klenke: Wahrscheinlichkeitstheorie
Durrett: Probability. Theory and Examples.

Weitere Literatur wird im Lauf der Vorlesung bekannt gegeben.
Further literature will be given during the lecture.

Additional information

Prerequisite: Stochastics I and Analysis I — III

Additional appointments

Klausur

Virtueller Raum 03

Nicolas Perkowski

29.07.2020 14:00 - 16:00

Nachklausur

Virtueller Raum 01

Nicolas Perkowski

19.10.2020 10:00 - 12:00

Appointment series

A6/SR 032 Seminarraum

Nicolas Perkowski

einmal, ab 16.04.2020, 08:00 - 10:00 (13 Termine)

A6/SR 032 Seminarraum

Nicolas Perkowski

einmal, ab 14.04.2020, 12:00 - 14:00 (14 Termine)

Practice seminar for Stochastics II

LV: 19212902

a.SAP verarbeitet

2 SWS

Nicolas Perkowski

Practice seminar

Submod: 0084aC7.2.2

Akt: 29.04.2020 00:00

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

Description

Inhalt

This course is the sequel of the course of Stochastics I. The main objective is to go beyond the first principles in probability theory by introducing the general language of measure theory, and the application of this framework in a wide variety of probabilistic scenarios.
More precisely, the course will cover the following aspects of probability theory:
Measure theory and the Lebesgue integral
Convergence of random variables and 0-1 laws
Generating functions: branching processes and characteristic functions
Markov chains
Introduction to martingales

Additional information

Zielgruppe: B.Sc. Mathematik und B.Sc./M.Sc. Physik
Die Vorlesung richtet sich vorrangig an Studierende mit Ziel B.Sc. Mathematik, eignet sich aber auch als Wahlfach für Physikstudenten (ab 4. Semester). Die begleitende Übung ist verpflichtend und stellt inhaltlich eine wesentliche Ergänzung dar.

Voraussetzungen: Grundkenntnisse aus Analysis und Linearer Algebra

Additional appointments

Appointment series

A6/SR 025/026 Seminarraum

Nicolas Perkowski

einmal, ab 14.04.2020, 16:00 - 18:00 (14 Termine)

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

Dirk Werner

Lecture

Submod: 0084aA1.1.1

Akt: 29.10.2020 16:00

Thu, 08:00 - 10:00 (A3/Hs 001 Hörsaal)

Tue, 08:00 - 10:00 (A3/Hs 001 Hörsaal)

Description

Additional appointments

Klausur

Virtueller Raum 02

Dirk Werner

31.08.2020 16:00 - 18:00

Analysis I

A6/SR 007/008 Seminarraum

Dirk Werner

02.09.2020 10:00 - 18:00

Korrektur der Wiederholungsklausur Analysis I, SS 2020

A6/SR 007/008 Seminarraum

Dirk Werner

29.10.2020 10:00 - 16:00

Appointment series

A3/Hs 001 Hörsaal

Dirk Werner

einmal, ab 16.04.2020, 08:00 - 10:00 (13 Termine)

A3/Hs 001 Hörsaal

Dirk Werner

einmal, ab 21.04.2020, 08:00 - 10:00 (13 Termine)

Practice seminar for Analysis I

LV: 19202802

a.SAP verarbeitet

2 SWS

Dirk Werner

Practice seminar

Submod: 0084aA1.1.2

Akt: 14.04.2020 14:00

Wed, 10:00 - 12:00 (A6/SR 009 Seminarraum)

Wed, 10:00 - 12:00 (A7/SR 140 Seminarraum (Hinterhaus))

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

Tue, 14:00 - 16:00 (A3/SR 119)

Additional appointments

Appointment series

A6/SR 009 Seminarraum

Dirk Werner

einmal, ab 15.04.2020, 10:00 - 12:00 (14 Termine)

A7/SR 140 Seminarraum (Hinterhaus)

Dirk Werner

einmal, ab 15.04.2020, 10:00 - 12:00 (14 Termine)

A6/SR 031 Seminarraum

Dirk Werner

einmal, ab 15.04.2020, 14:00 - 16:00 (14 Termine)

A3/SR 119

Dirk Werner

einmal, ab 14.04.2020, 14:00 - 16:00 (14 Termine)

Module: Linear Algebra I (0084aA2.1)

Linear Algebra I

LV: 19201401

a.SAP verarbeitet

4 SWS

Pavle Blagojevic

Lecture

Submod: 0084aA2.1.1

Akt: 05.05.2020 22:00

Mon, 08:00 - 10:00 (A3/Hs 001 Hörsaal)

Wed, 08:00 - 10:00 (A3/Hs 001 Hörsaal)

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

Literatur:
Siegfried Bosch, Lineare Algebra, 4. Auflage, Springer-Verlag, 2008;
Tammo tom Dieck, Lineare Algebra, Skript, Universität Göttingen Version vom 7.10.2014

Additional appointments

Appointment series

A3/Hs 001 Hörsaal

Pavle Blagojevic

einmal, ab 20.04.2020, 08:00 - 10:00 (12 Termine)

A3/Hs 001 Hörsaal

Pavle Blagojevic

einmal, ab 15.04.2020, 08:00 - 10:00 (14 Termine)

Practice seminar for Linear Algebra I

LV: 19201402

a.SAP verarbeitet

2 SWS

Pavle Blagojevic

Practice seminar

Submod: 0084aA2.1.2

Akt: 05.10.2020 18:00

Wed, 12:00 - 14:00 (A3/SR 119)

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

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

Wed, 12:00 - 14:00 (A6/SR 007/008 Seminarraum)

Additional appointments

Appointment series

A3/SR 119

Pavle Blagojevic

einmal, ab 15.04.2020, 12:00 - 14:00 (14 Termine)

A6/SR 032 Seminarraum

Pavle Blagojevic

einmal, ab 16.04.2020, 12:00 - 14:00 (13 Termine)

A6/SR 025/026 Seminarraum

Pavle Blagojevic

einmal, ab 16.04.2020, 12:00 - 14:00 (13 Termine)

A6/SR 007/008 Seminarraum

Pavle Blagojevic

einmal, ab 15.04.2020, 12:00 - 14:00 (14 Termine)

Module: Computer-Oriented Mathematics II (0084aA3.2)

Computer-oriented Mathematics II

LV: 19211901

a.SAP verarbeitet

2 SWS

Carsten Gräser

Lecture

Submod: 0084aA3.2.1

Akt: 14.04.2020 14:00

Fri, 12:00 - 14:00 (T9/Gr. Hörsaal)

Description

Inhalt:

Die Auswahl der behandelten numerischen Verfahren enthält Polynominterpolation, Newton-Cotes-Formeln zur numerische Integration und Euler-Verfahren für lineare Differentialgleichungen.

Additional information

Studierende der Mathematik (Monobachelor und Lehramt) und Bioinformatik, sowie Numerikinteressierte aus Physik, Informatik und anderen Natur- und Geisteswissenschaften.

Additional appointments

Appointment series

T9/Gr. Hörsaal

Carsten Gräser

einmal, ab 17.04.2020, 12:00 - 14:00 (12 Termine)

Practice seminar for Computer-oriented Mathematics II

LV: 19211902

a.SAP verarbeitet

2 SWS

Carsten Gräser

Practice seminar

Submod: 0084aA3.2.2

Akt: 14.04.2020 14:00

Tue, 12:00 - 14:00 (A6/SR 009 Seminarraum)

Tue, 16:00 - 18:00 (KöLu24-26/SR 006 Neuro/Mathe)

Thu, 12:00 - 14:00 (A7/SR 140 Seminarraum (Hinterhaus))

Tue, 12:00 - 14:00 (A3/SR 119)

Tue, 16:00 - 18:00 (A6/SR 009 Seminarraum)

Wed, 14:00 - 16:00 (A6/SR 009 Seminarraum)

Wed, 14:00 - 16:00 (A7/SR 140 Seminarraum (Hinterhaus))

Wed, 16:00 - 18:00 (A3/SR 119)

Additional appointments

Appointment series

A6/SR 009 Seminarraum

Carsten Gräser

einmal, ab 14.04.2020, 12:00 - 14:00 (14 Termine)

KöLu24-26/SR 006 Neuro/Mathe

Carsten Gräser

einmal, ab 14.04.2020, 16:00 - 18:00 (14 Termine)

A7/SR 140 Seminarraum (Hinterhaus)

Carsten Gräser

einmal, ab 16.04.2020, 12:00 - 14:00 (13 Termine)

A3/SR 119

Carsten Gräser

einmal, ab 14.04.2020, 12:00 - 14:00 (14 Termine)

A6/SR 009 Seminarraum

Carsten Gräser

einmal, ab 14.04.2020, 16:00 - 18:00 (14 Termine)

A6/SR 009 Seminarraum

Carsten Gräser

einmal, ab 15.04.2020, 14:00 - 16:00 (14 Termine)

A7/SR 140 Seminarraum (Hinterhaus)

Carsten Gräser

einmal, ab 15.04.2020, 14:00 - 16:00 (14 Termine)

A3/SR 119

Carsten Gräser

einmal, ab 15.04.2020, 16:00 - 18:00 (14 Termine)

Module: Introduction to Numerical Mathematics (Numerics I) (0084aA4.1)

Numerics I

LV: 19212001

a.SAP verarbeitet

4 SWS

Volker John

Lecture

Submod: 0084aA4.1.1

Akt: 14.04.2020 14:00

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

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

Description

Numerical methods for: iterative solution of nonlinear systems of equations (fixpoint and Newton methods), curve fitting, interpolation, numerical quadrature, and numerics of ODE systems.

References

Stoer, Josef und Roland Bulirsch: Numerische Mathematik - eine Einführung, Band 1. Springer, Berlin, 2005.

Aus dem FU-Netz auch online verfügbar.

Link

Additional appointments

Appointment series

A6/SR 032 Seminarraum

Volker John

einmal, ab 20.04.2020, 10:00 - 12:00 (12 Termine)

A6/SR 032 Seminarraum

Volker John

einmal, ab 15.04.2020, 10:00 - 12:00 (14 Termine)

Practice seminar for Numerics I

LV: 19212002

a.SAP verarbeitet

2 SWS

Volker John

Gottfried Hastermann

Practice seminar

Submod: 0084aA4.1.2

Akt: 11.08.2020 14:00

Wed, 12:00 - 14:00 (T9/046 Seminarraum)

Mon, 08:00 - 10:00 (T9/046 Seminarraum)

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

Thu, 08:00 - 10:00 (A7/SR 140 Seminarraum (Hinterhaus))

Additional information

Alle aktuellen Informationen zu Vorlesung und Übungen

Additional appointments

Appointment series

T9/046 Seminarraum

Volker John

Gottfried Hastermann

einmal, ab 15.04.2020, 12:00 - 14:00 (14 Termine)

T9/046 Seminarraum

Volker John

Gottfried Hastermann

einmal, ab 20.04.2020, 08:00 - 10:00 (12 Termine)

A3/ 024 Seminarraum

Volker John

Gottfried Hastermann

einmal, ab 17.04.2020, 14:00 - 16:00 (12 Termine)

A7/SR 140 Seminarraum (Hinterhaus)

Volker John

Gottfried Hastermann

einmal, ab 16.04.2020, 08:00 - 10:00 (13 Termine)

Module: Seminar on Algorithms (0084bC6.5)

Seminar on Algorithms

LV: 19306711

a.SAP verarbeitet

2 SWS

Boris Klemz

Seminar

Submod: 0084bC6.5.1

Akt: 06.03.2020 16:00

Wed, 16:00 - 18:00 (T9/SR 005 Übungsraum)

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

T9/SR 005 Übungsraum

Boris Klemz

einmal, ab 15.04.2020, 16:00 - 18:00 (14 Termine)

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

Module: Mathematics Seminar (0084cB1.1)

Seminar on Functional Analysis

LV: 19212111

a.SAP verarbeitet

2 SWS

Dirk Werner

Seminar

Submod: 0084cB1.1.1

Akt: 14.04.2020 14:00

Fri, 16:00 - 18:00 (A3/SR 210 Seminarraum)

Description

Selected topics of functional analysis.

References

Wird noch bekannt gegeben, siehe http://page.mi.fu-berlin.de/werner99/

Additional information

Zielgruppe:

Studierende des Bachelorstudiengangs.

Voraussetzungen:

Funktionalanalysis I.

Additional appointments

Appointment series

A3/SR 210 Seminarraum

Dirk Werner

einmal, ab 17.04.2020, 16:00 - 18:00 (12 Termine)

Seminar zur Visualisierung

LV: 19212411

a.SAP verarbeitet

2 SWS

Konrad Polthier

Henriette-Sophie Lipschütz

Seminar

Submod: 0084cB1.1.1

Akt: 14.04.2020 14:00

Tue, 14:00 - 16:00 (A6/108/109 Seminarraum)

Description

The students work out a relevant topic of current research in visualization and computer graphics. In a preliminary meeting, research articles are supplied. The students work on them independently and prepare a presentation containing examples and discussion (max. 90 min). Implementations of the presented algorithms can be used by way of illustration. Additionally, a preparation of the presentation will be submitted explaining the content of the presentation in detail.

Topics might be:

general techniques in visualization
visualization of vector fields
rendering
image processing
smoothing
discrete methods on 3D models
animations

Additional appointments

Appointment series

A6/108/109 Seminarraum

Konrad Polthier

Henriette-Sophie Lipschütz

einmal, ab 14.04.2020, 14:00 - 16:00 (14 Termine)

Scientific writing

LV: 19213710

a.SAP verarbeitet

2 SWS

Christian Haase

Matthias Beck

Proseminar

Submod: 0084cB1.1.1

Akt: 14.04.2020 14:00

Tue, 14:00 - 16:00 (T9/049 Seminarraum)

Description

In diesem Seminar geht es um das Kommunizieren von (Forschungs-)Mathematik, insbesondere um das Verfassen mathematischer Texte. Es richtet sich an Studierende, die sich zumindest schon auf ein Gebiet festgelegt haben, in dem sie ihre Bachelor-/Masterarbeit schreiben wollen. Das Kommunizieren von höherer Mathematik, sowohl in schriftlicher als auch mündlicher Form, nimmt eine zentrale Rolle im Leben einer Mathematikerin/eines Mathematikers ein, und in diesem Seminar werden wir diese Kommunikationsformen entwickeln, üben und besprechen.

Additional information

Vorbesprechung und alles Weitere im Whiteboard

Additional appointments

Appointment series

T9/049 Seminarraum

Christian Haase

Matthias Beck

einmal, ab 14.04.2020, 14:00 - 16:00 (14 Termine)

(Hi)stories of Dynamics

LV: 19239811

a.SAP verarbeitet

2 SWS

Bernold Fiedler

Isabelle Schneider

Alejandro Lopez Nieto

Seminar

Submod: 0084cB1.1.1

Akt: 14.04.2020 14:00

Wed, 10:00 - 12:00 (A3/SR 130 Seminarraum (Hinterhaus))

Description

In parallel to the course Dynamical Systems I, our seminar where we would highlight some jewels of dynamical systems. Our main focus will be on time discrete dynamical systems. Towards the end of the semester we will also catch a glimpse of delay equations, contemplating some similarities and differences to ordinary differential equations.

Additional appointments

Appointment series

A3/SR 130 Seminarraum (Hinterhaus)

Bernold Fiedler

Isabelle Schneider

Alejandro Lopez Nieto

einmal, ab 15.04.2020, 10:00 - 12:00 (14 Termine)

Dynamical systems: chaos and stability

LV: 19243511

a.SAP verarbeitet

2 SWS

Péter Koltai

Seminar

Submod: 0084cB1.1.1

Akt: 14.04.2020 14:00

Thu, 08:00 - 10:00 (T9/049 Seminarraum)

Description

Inhalt

In diesem Seminar werden wir uns hauptsächlich mit zeitdiskreter Dynamik und verwandten Themen beschäftigen. Dynamische Systeme beschreiben meistens die zeitliche Änderung von bestimmten Zuständen. Ziel des Seminars ist die grundlegende Konzepte kennen zu lernen und einige Werkzeuge anzueignen, womit das vielfältige Verhalten dynamischer Systeme untersucht werden kann.

Jeder Teilnehmer wird einen Vortrag von 60 Minuten halten, an den sich eine fachliche und didaktische Diskussion anschließen soll. Voraussetzungen sind Analysis I-III.

Vortragsvorbereitung

Eine individuelle Vorbesprechung und genaue Angaben zu den entsprechenden Referenzen für die vergebenen Themen soll mindestens 2 Wochen vor dem Vortragstermin (und gerne früher) stattfinden.
Falls Sie einen Beamer für den Vortrag benutzen wollen, sagen Sie bitte rechtzeitig bei mir Bescheid.

Anforderung

Seminarvortrag (60 Minuten)
Ausarbeitung: max. 5 Seiten in vernünftiger Formatierung (inklusive Referenzen und Abbildungen)

References

Clark Robinson, Dynamical systems: stability, symbolic dynamics, and chaos, CRC Press
Richard A. Holmgren, A first course in discrete dynamical systems, Springer Verlag

Additional appointments

Appointment series

T9/049 Seminarraum

Péter Koltai

einmal, ab 16.04.2020, 08:00 - 10:00 (13 Termine)

Module: Complex Analysis (0084cB2.3)

Funktionentheorie

LV: 19212801

a.SAP verarbeitet

4 SWS

Andrea Petracci

Lecture

Submod: 0084cB2.3.1

Akt: 24.06.2020 16:00

Mon, 10:00 - 14:00 (T9/046 Seminarraum)

Description

Inhalt

Complex analysis is a classical branch of mathematics that studies properties of differentiable functions on the complex plane and has links to algebra, analysis, number theory and geometry. We start by describing the complex plane and by defining the notion of complex differentiability, which is a natural extension of the notion of differentiability of real functions to the complex plane. However, we will discover that complex differentiable functions are very rigid object which have many amazing properties. A key result covered in this course is Cauchy's Integral Theorem, which says that the integral of every complex differentiable function along a loop in the complex plane is zero. We will see many beautiful consequences of this result; for example, the Cauchy Integral formula, the Residue theorem and even a proof of the Fundamental theorem of algebra.

Homepage: Dr. Petracci

References

Literatur:

E. Freitag and R. Busam 'Complex analysis', (Springer) 2nd Edition 2009 (the original German version is called 'Funktionentheorie')

Additional appointments

Klausur (der Termi findet im Raum L 115 im Seminarzentrum, Otto-von-Simson-Str. 26 statt)

L 115 Seminarzentrum

Andrea Petracci

14.07.2020 16:00 - 18:00

Appointment series

T9/046 Seminarraum

Andrea Petracci

einmal, ab 20.04.2020, 10:00 - 14:00 (12 Termine)

Übung zu Funktionentheorie

LV: 19212802

a.SAP verarbeitet

2 SWS

Andrea Petracci

Practice seminar

Submod: 0084cB2.3.2

Akt: 14.04.2020 14:00

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

Module: Stochastics II (0084cB2.4)

Stochastics II

LV: 19212901

a.SAP verarbeitet

4 SWS

Nicolas Perkowski

Lecture

Submod: 0084aC7.2.1

Akt: 13.10.2020 10:04

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

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

Description

Contents:

Construction of stochastic processes;
conditional expectation;
martingales in discrete time: convergence, stopping theorems, inequalities;
convergence types in stochastics;
uniform integrability;
Markov chains in discrete and continuous time: recurrence and transience, invariant measures;
convergence in distribution of stochatic processes;
Brownian motion and invariance principle.

Detailed Information can be found on the Homepage of 19212901 Basismodul: Stochastics II.

References

Klenke: Wahrscheinlichkeitstheorie
Durrett: Probability. Theory and Examples.

Weitere Literatur wird im Lauf der Vorlesung bekannt gegeben.
Further literature will be given during the lecture.

Additional information

Prerequisite: Stochastics I and Analysis I — III

Additional appointments

Klausur

Virtueller Raum 03

Nicolas Perkowski

29.07.2020 14:00 - 16:00

Nachklausur

Virtueller Raum 01

Nicolas Perkowski

19.10.2020 10:00 - 12:00

Appointment series

A6/SR 032 Seminarraum

Nicolas Perkowski

einmal, ab 16.04.2020, 08:00 - 10:00 (13 Termine)

A6/SR 032 Seminarraum

Nicolas Perkowski

einmal, ab 14.04.2020, 12:00 - 14:00 (14 Termine)

Practice seminar for Stochastics II

LV: 19212902

a.SAP verarbeitet

2 SWS

Nicolas Perkowski

Practice seminar

Submod: 0084aC7.2.2

Akt: 29.04.2020 00:00

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

Description

Inhalt

This course is the sequel of the course of Stochastics I. The main objective is to go beyond the first principles in probability theory by introducing the general language of measure theory, and the application of this framework in a wide variety of probabilistic scenarios.
More precisely, the course will cover the following aspects of probability theory:
Measure theory and the Lebesgue integral
Convergence of random variables and 0-1 laws
Generating functions: branching processes and characteristic functions
Markov chains
Introduction to martingales

Additional information

Voraussetzungen: Grundkenntnisse aus Analysis und Linearer Algebra

Additional appointments

Appointment series

A6/SR 025/026 Seminarraum

Nicolas Perkowski

einmal, ab 14.04.2020, 16:00 - 18:00 (14 Termine)

Module: Discrete Mathematics I (0084cB3.2)

Discrete Mathematics I

LV: 19214701

a.SAP verarbeitet

4 SWS

Tibor Szabo

Lecture

Submod: 0084aC3.1.1

Akt: 26.08.2020 13:19

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

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

Description

Content:

Selection from the following topics:

Enumeration (twelvefold way, inclusion-exclusion, double counting, recursions, generating functions, inversion, Ramsey's Theorem, asymptotic counting)
Discrete Structures (graphs, set systems, designs, posets, matroids)
Graph Theory (trees, matchings, connectivity, planarity, colorings)

For further information, please see: http://discretemath.imp.fu-berlin.de/DMI-2020/

References

M. Aigner: Diskrete Mathematik
R. Diestel: Graph Theory
J. Matousek, J. Nesetril: An invitation to Discrete Mathematics
D. West: Introduction to Graph Theory

Additional information

Target group:

BMS students, Master and Bachelor students

Additional appointments

Klausur (der Termin findet im Hörsaal 1a, Habelschwerdter Allee 45, Rostlaube statt).

Hs 1a Hörsaal

Tibor Szabo

22.07.2020 13:00 - 16:00

Diskrete Mathematik I - Klausureinsicht

A3/Hs 001 Hörsaal

Tibor Szabo

28.08.2020 14:00 - 16:00

Nachklausur (der Termin findet in der Mensa statt)

Speisesaal Mensa II

Tibor Szabo

09.10.2020 10:00 - 13:00

Appointment series

A6/SR 032 Seminarraum

Tibor Szabo

einmal, ab 15.04.2020, 14:00 - 16:00 (14 Termine)

A6/SR 032 Seminarraum

Tibor Szabo

einmal, ab 14.04.2020, 14:00 - 16:00 (14 Termine)

Practice seminar for Discrete Mathematics I

LV: 19214702

a.SAP verarbeitet

2 SWS

Tibor Szabo

Michael Anastos

Practice seminar

Submod: 0084aC3.1.2

Akt: 29.04.2020 20:00

Wed, 08:00 - 10:00 (A3/ 024 Seminarraum )

Tue, 16:00 - 18:00 (A6/SR 007/008 Seminarraum)

Description

Content:

Selection from the following topics:

Counting (basics, double counting, Pigeonhole Principle, recursions, generating functions, Inclusion-Exclusion, inversion, Polya theory)
Discrete Structures (graphs, set systems, designs, posets, matroids)
Graph Theory (trees, matchings, connectivity, planarity, colorings)
Algorithms (asymptotic running time, BFS, DFS, Dijkstra, Greedy, Kruskal, Hungarian, Ford-Fulkerson)

Additional appointments

Appointment series

A3/ 024 Seminarraum

Tibor Szabo

Michael Anastos

einmal, ab 15.04.2020, 08:00 - 10:00 (14 Termine)

A6/SR 007/008 Seminarraum

Tibor Szabo

Michael Anastos

einmal, ab 14.04.2020, 16:00 - 18:00 (14 Termine)

Module: Differential Equations I (0084cB3.1)

Basic Module: Differential Equations I - Dynamical Systems I

LV: 19215601

a.SAP verarbeitet

4 SWS

Bernold Fiedler

Lecture

Submod: 0084cB3.1.1

Akt: 24.06.2020 14:40

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

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

Description

Dynamical Systems I (4+2) The module transmits fundamental methods and knowledge of the following mathematical subjects:

Existence and uniqueness of solutions of ordinary differential equations.
Flows, differentiablility and first integrals
Linear differential equations.
Lyapunov functions
α- and ω-limit sets
Planar flows and the Poincaré-Bendixson theorem.
Forced oscillations.

References

L.C. Evans, Partial Differential Equations. Gelegentlich: W. Strauss, Partial Differential Equation. Alle Exemplare beider Texte stehen im Handapparat Ecker.

Vorausgesetztes Material zu Analysis II und III siehe z.B. Appendices in diesem Buch (vor allem Appendix C und E (Maß- und Integrationstheorie).

Additional information

Analysis I to III and Lineare Algebra I and II.

¶¶

Additional appointments

Klausur

Virtueller Raum 02

Bernold Fiedler

14.07.2020 10:00 - 12:00

Appointment series

A6/SR 032 Seminarraum

Bernold Fiedler

einmal, ab 16.04.2020, 10:00 - 12:00 (13 Termine)

A6/SR 032 Seminarraum

Bernold Fiedler

einmal, ab 14.04.2020, 10:00 - 12:00 (14 Termine)

Practice seminar for Basic Module: Differential Equations I - Dynamical Systems I

LV: 19215602

a.SAP verarbeitet

2 SWS

Isabelle Schneider

Alejandro Lopez Nieto

Practice seminar

Submod: 0084cB3.1.2

Akt: 22.04.2020 16:00

Mon, 10:00 - 12:00 (A3/SR 210 Seminarraum)

Wed, 16:00 - 18:00 (A3/SR 210 Seminarraum)

Description

Am 23. April findet keine Übung statt.

Additional appointments

Appointment series

A3/SR 210 Seminarraum

Isabelle Schneider

Alejandro Lopez Nieto

einmal, ab 20.04.2020, 10:00 - 12:00 (12 Termine)

A3/SR 210 Seminarraum

Isabelle Schneider

Alejandro Lopez Nieto

einmal, ab 15.04.2020, 16:00 - 18:00 (14 Termine)

Module: Seminar on Algorithms (0089bA2.8)

Seminar on Algorithms

LV: 19306711

a.SAP verarbeitet

2 SWS

Boris Klemz

Seminar

Submod: 0084bC6.5.1

Akt: 06.03.2020 16:00

Wed, 16:00 - 18:00 (T9/SR 005 Übungsraum)

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

T9/SR 005 Übungsraum

Boris Klemz

einmal, ab 15.04.2020, 16:00 - 18:00 (14 Termine)

Module: Specialisation in Mathematics (0084cB4.1)

Geometry

LV: 19213101

a.SAP verarbeitet

4 SWS

Alexander Schmitt

Lecture

Submod: 0084cB4.1.1

Akt: 30.09.2020 11:52

Thu, 12:00 - 14:00 ()

Mon, 12:00 - 14:00 ()

Description

Inhalt

Diese Vorlesung für das Bachelorstudium soll als natürliche Fortsetzung von Lineare Algebra I und II Fundamente legen für Vorlesungen/Zyklen wie Diskrete Geometrie, Algebraische Geometrie und Differenzialgeometrie.

Sie behandelt grundlegende Modelle der Geometrie, insbesondere

euklidische, affine, sphärische, projektive und hyperbolische Geometrie,Möbiusgeometrie, Polarität und Dualität Strukturgruppen, Messen (Längen, Winkel, Volumina), explizite Berechnungen und Anwendungen, Beispiele sowie Illustrationsthemen;

Dabei werden weitere Bezüge hergestellt, zum Beispiel zur Funktionentheorie und zur Numerik.

Website der Veranstaltung

Additional information

Die Zentralübung findet in Form einer Online-Fragestunde (1-mal wöchentlich, 90 Minuten) statt. Der Zeitpunkt wird zu Beginn der Vorlesungszeit mit den Studierenden vereinbart.

Additional appointments

Klausur

Virtueller Raum 02

Alexander Schmitt

06.08.2020 10:00 - 12:00

Geometrie

Virtueller Raum 01

Alexander Schmitt

16.10.2020 14:00 - 16:00

Appointment series

Alexander Schmitt

einmal, ab 16.04.2020, 12:00 - 14:00 (13 Termine)

Alexander Schmitt

einmal, ab 20.04.2020, 12:00 - 14:00 (12 Termine)

Practice seminar for Geometry

LV: 19213102

a.SAP verarbeitet

2 SWS

Hanxing Lin

Practice seminar

Submod: 0084cB4.1.2

Akt: 06.05.2020 12:00

Thu, 10:00 - 12:00 ()

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

Module: Seminar on Current Topics in Mathematics (0084cB4.5)

Introduction to Visualisation

LV: 19214119

a.SAP verarbeitet

4 SWS

No lecturers

Seminar with practice

Submod: 0084cB4.5.1

Akt: 14.04.2020 14:00

Module: Analysis I (0084cA1.1)

Analysis I

LV: 19202801

a.SAP verarbeitet

4 SWS

Dirk Werner

Lecture

Submod: 0084aA1.1.1

Akt: 29.10.2020 16:00

Thu, 08:00 - 10:00 (A3/Hs 001 Hörsaal)

Tue, 08:00 - 10:00 (A3/Hs 001 Hörsaal)

Description

Additional appointments

Klausur

Virtueller Raum 02

Dirk Werner

31.08.2020 16:00 - 18:00

Analysis I

A6/SR 007/008 Seminarraum

Dirk Werner

02.09.2020 10:00 - 18:00

Korrektur der Wiederholungsklausur Analysis I, SS 2020

A6/SR 007/008 Seminarraum

Dirk Werner

29.10.2020 10:00 - 16:00

Appointment series

A3/Hs 001 Hörsaal

Dirk Werner

einmal, ab 16.04.2020, 08:00 - 10:00 (13 Termine)

A3/Hs 001 Hörsaal

Dirk Werner

einmal, ab 21.04.2020, 08:00 - 10:00 (13 Termine)

Practice seminar for Analysis I

LV: 19202802

a.SAP verarbeitet

2 SWS

Dirk Werner

Practice seminar

Submod: 0084aA1.1.2

Akt: 14.04.2020 14:00

Wed, 10:00 - 12:00 (A6/SR 009 Seminarraum)

Wed, 10:00 - 12:00 (A7/SR 140 Seminarraum (Hinterhaus))

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

Tue, 14:00 - 16:00 (A3/SR 119)

Additional appointments

Appointment series

A6/SR 009 Seminarraum

Dirk Werner

einmal, ab 15.04.2020, 10:00 - 12:00 (14 Termine)

A7/SR 140 Seminarraum (Hinterhaus)

Dirk Werner

einmal, ab 15.04.2020, 10:00 - 12:00 (14 Termine)

A6/SR 031 Seminarraum

Dirk Werner

einmal, ab 15.04.2020, 14:00 - 16:00 (14 Termine)

A3/SR 119

Dirk Werner

einmal, ab 14.04.2020, 14:00 - 16:00 (14 Termine)

Module: Lineare Algebra I (0084cA1.4)

Linear Algebra I

LV: 19201401

a.SAP verarbeitet

4 SWS

Pavle Blagojevic

Lecture

Submod: 0084aA2.1.1

Akt: 05.05.2020 22:00

Mon, 08:00 - 10:00 (A3/Hs 001 Hörsaal)

Wed, 08:00 - 10:00 (A3/Hs 001 Hörsaal)

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

Literatur:
Siegfried Bosch, Lineare Algebra, 4. Auflage, Springer-Verlag, 2008;
Tammo tom Dieck, Lineare Algebra, Skript, Universität Göttingen Version vom 7.10.2014

Additional appointments

Appointment series

A3/Hs 001 Hörsaal

Pavle Blagojevic

einmal, ab 20.04.2020, 08:00 - 10:00 (12 Termine)

A3/Hs 001 Hörsaal

Pavle Blagojevic

einmal, ab 15.04.2020, 08:00 - 10:00 (14 Termine)

Practice seminar for Linear Algebra I

LV: 19201402

a.SAP verarbeitet

2 SWS

Pavle Blagojevic

Practice seminar

Submod: 0084aA2.1.2

Akt: 05.10.2020 18:00

Wed, 12:00 - 14:00 (A3/SR 119)

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

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

Wed, 12:00 - 14:00 (A6/SR 007/008 Seminarraum)

Additional appointments

Appointment series

A3/SR 119

Pavle Blagojevic

einmal, ab 15.04.2020, 12:00 - 14:00 (14 Termine)

A6/SR 032 Seminarraum

Pavle Blagojevic

einmal, ab 16.04.2020, 12:00 - 14:00 (13 Termine)

A6/SR 025/026 Seminarraum

Pavle Blagojevic

einmal, ab 16.04.2020, 12:00 - 14:00 (13 Termine)

A6/SR 007/008 Seminarraum

Pavle Blagojevic

einmal, ab 15.04.2020, 12:00 - 14:00 (14 Termine)

Module: Computerorientierte Mathematik II (0084cA1.7)

Computer-oriented Mathematics II

LV: 19211901

a.SAP verarbeitet

2 SWS

Carsten Gräser

Lecture

Submod: 0084aA3.2.1

Akt: 14.04.2020 14:00

Fri, 12:00 - 14:00 (T9/Gr. Hörsaal)

Description

Inhalt:

Die Auswahl der behandelten numerischen Verfahren enthält Polynominterpolation, Newton-Cotes-Formeln zur numerische Integration und Euler-Verfahren für lineare Differentialgleichungen.

Additional information

Studierende der Mathematik (Monobachelor und Lehramt) und Bioinformatik, sowie Numerikinteressierte aus Physik, Informatik und anderen Natur- und Geisteswissenschaften.

Additional appointments

Appointment series

T9/Gr. Hörsaal

Carsten Gräser

einmal, ab 17.04.2020, 12:00 - 14:00 (12 Termine)

Practice seminar for Computer-oriented Mathematics II

LV: 19211902

a.SAP verarbeitet

2 SWS

Carsten Gräser

Practice seminar

Submod: 0084aA3.2.2

Akt: 14.04.2020 14:00

Tue, 12:00 - 14:00 (A6/SR 009 Seminarraum)

Tue, 16:00 - 18:00 (KöLu24-26/SR 006 Neuro/Mathe)

Thu, 12:00 - 14:00 (A7/SR 140 Seminarraum (Hinterhaus))

Tue, 12:00 - 14:00 (A3/SR 119)

Tue, 16:00 - 18:00 (A6/SR 009 Seminarraum)

Wed, 14:00 - 16:00 (A6/SR 009 Seminarraum)

Wed, 14:00 - 16:00 (A7/SR 140 Seminarraum (Hinterhaus))

Wed, 16:00 - 18:00 (A3/SR 119)

Additional appointments

Appointment series

A6/SR 009 Seminarraum

Carsten Gräser

einmal, ab 14.04.2020, 12:00 - 14:00 (14 Termine)

KöLu24-26/SR 006 Neuro/Mathe

Carsten Gräser

einmal, ab 14.04.2020, 16:00 - 18:00 (14 Termine)

A7/SR 140 Seminarraum (Hinterhaus)

Carsten Gräser

einmal, ab 16.04.2020, 12:00 - 14:00 (13 Termine)

A3/SR 119

Carsten Gräser

einmal, ab 14.04.2020, 12:00 - 14:00 (14 Termine)

A6/SR 009 Seminarraum

Carsten Gräser

einmal, ab 14.04.2020, 16:00 - 18:00 (14 Termine)

A6/SR 009 Seminarraum

Carsten Gräser

einmal, ab 15.04.2020, 14:00 - 16:00 (14 Termine)

A7/SR 140 Seminarraum (Hinterhaus)

Carsten Gräser

einmal, ab 15.04.2020, 14:00 - 16:00 (14 Termine)

A3/SR 119

Carsten Gräser

einmal, ab 15.04.2020, 16:00 - 18:00 (14 Termine)

Module: Analysis II (0084cA1.2)

Analysis II

LV: 19211601

a.SAP verarbeitet

4 SWS

Klaus Ecker

Lecture

Submod: 0084cA1.2.1

Akt: 10.09.2020 16:00

Thu, 10:00 - 12:00 (A3/Hs 001 Hörsaal)

Tue, 10:00 - 12:00 (A3/Hs 001 Hörsaal)

Description

Inhalt

Ergänzungen zur Analysis I. Taylor polynome und Taylorreihen. Weitere Konvergenzkriterien von Reihen.
Integration. Integration stetiger Funktionen. Erweiterung auf stückweise stetige Funktionen. Trapezregel. Hauptsatz der Differential- und Integralrechnung.
Elemente der Topologie. Normierte und metrische Räume. Offene Mengen. Konvergenz. Abgeschlossene Mengen. Stetigkeit. Kompaktheit.
Differentialrechnung mehrerer Veränderlicher. Partielle, totale und stetige Differenzierbarkeit. Satz über die Umkehrfunktion. Satz über implizite Funktionen im R2.

References

Spivak: Calculus
Forster: Analysis II
Hildebrandt: Analysis I & II
Spivak: Calculus on manifolds

Additional appointments

Klausur

Speisesaal Mensa II

Virtueller Raum 03

Klaus Ecker

14.07.2020 11:00 - 13:00

Nachklausur

Speisesaal Mensa II

Klaus Ecker

10.11.2020 10:00 - 12:00

Appointment series

A3/Hs 001 Hörsaal

Klaus Ecker

einmal, ab 16.04.2020, 10:00 - 12:00 (13 Termine)

A3/Hs 001 Hörsaal

Klaus Ecker

einmal, ab 21.04.2020, 10:00 - 12:00 (13 Termine)

Practice seminar for Analysis II

LV: 19211602

a.SAP verarbeitet

2 SWS

Klaus Ecker

Practice seminar

Submod: 0084cA1.2.2

Akt: 14.04.2020 14:00

Wed, 14:00 - 16:00 (A3/SR 130 Seminarraum (Hinterhaus))

Wed, 12:00 - 14:00 (A7/SR 140 Seminarraum (Hinterhaus))

Thu, 08:00 - 10:00 (KöLu24-26/SR 006 Neuro/Mathe)

Wed, 12:00 - 14:00 (A3/ 024 Seminarraum )

Additional appointments

Appointment series

A3/SR 130 Seminarraum (Hinterhaus)

Klaus Ecker

einmal, ab 15.04.2020, 14:00 - 16:00 (14 Termine)

A7/SR 140 Seminarraum (Hinterhaus)

Klaus Ecker

einmal, ab 15.04.2020, 12:00 - 14:00 (14 Termine)

KöLu24-26/SR 006 Neuro/Mathe

Klaus Ecker

einmal, ab 16.04.2020, 08:00 - 10:00 (13 Termine)

A3/ 024 Seminarraum

Klaus Ecker

einmal, ab 15.04.2020, 12:00 - 14:00 (14 Termine)

Module: Lineare Algebra II (0084cA1.5)

Linear Algebra II

LV: 19211701

a.SAP verarbeitet

4 SWS

Rainer Sinn

Lecture

Submod: 0084cA1.5.1

Akt: 02.07.2020 15:50

Wed, 12:00 - 14:00 (A3/Hs 001 Hörsaal)

Mon, 12:00 - 14:00 (A3/Hs 001 Hörsaal)

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

Klausur

Virtueller Raum 05

Rainer Sinn

31.07.2020 10:00 - 12:00

Appointment series

A3/Hs 001 Hörsaal

Rainer Sinn

einmal, ab 15.04.2020, 12:00 - 14:00 (14 Termine)

A3/Hs 001 Hörsaal

Rainer Sinn

einmal, ab 20.04.2020, 12:00 - 14:00 (12 Termine)

Practice seminar for Linear Algebra II

LV: 19211702

a.SAP verarbeitet

2 SWS

Marie-Charlotte Brandenburg

Practice seminar

Submod: 0084cA1.5.2

Akt: 14.04.2020 14:00

Thu, 08:00 - 10:00 (A3/019 Seminarraum)

Thu, 08:00 - 10:00 (A3/ 024 Seminarraum )

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

Thu, 08:00 - 10:00 (A3/SR 119)

Additional appointments

Appointment series

A3/019 Seminarraum

Marie-Charlotte Brandenburg

einmal, ab 16.04.2020, 08:00 - 10:00 (13 Termine)

A3/ 024 Seminarraum

Marie-Charlotte Brandenburg

einmal, ab 16.04.2020, 08:00 - 10:00 (13 Termine)

A6/SR 025/026 Seminarraum

Marie-Charlotte Brandenburg

einmal, ab 17.04.2020, 10:00 - 12:00 (12 Termine)

A3/SR 119

Marie-Charlotte Brandenburg

einmal, ab 16.04.2020, 08:00 - 10:00 (13 Termine)

Module: Numerical Mathematics I (0084cA1.9)

Numerics I

LV: 19212001

a.SAP verarbeitet

4 SWS

Volker John

Lecture

Submod: 0084aA4.1.1

Akt: 14.04.2020 14:00

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

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

Description

Numerical methods for: iterative solution of nonlinear systems of equations (fixpoint and Newton methods), curve fitting, interpolation, numerical quadrature, and numerics of ODE systems.

References

Stoer, Josef und Roland Bulirsch: Numerische Mathematik - eine Einführung, Band 1. Springer, Berlin, 2005.

Aus dem FU-Netz auch online verfügbar.

Link

Additional appointments

Appointment series

A6/SR 032 Seminarraum

Volker John

einmal, ab 20.04.2020, 10:00 - 12:00 (12 Termine)

A6/SR 032 Seminarraum

Volker John

einmal, ab 15.04.2020, 10:00 - 12:00 (14 Termine)

Practice seminar for Numerics I

LV: 19212002

a.SAP verarbeitet

2 SWS

Volker John

Gottfried Hastermann

Practice seminar

Submod: 0084aA4.1.2

Akt: 11.08.2020 14:00

Wed, 12:00 - 14:00 (T9/046 Seminarraum)

Mon, 08:00 - 10:00 (T9/046 Seminarraum)

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

Thu, 08:00 - 10:00 (A7/SR 140 Seminarraum (Hinterhaus))

Additional information

Alle aktuellen Informationen zu Vorlesung und Übungen

Additional appointments

Appointment series

T9/046 Seminarraum

Volker John

Gottfried Hastermann

einmal, ab 15.04.2020, 12:00 - 14:00 (14 Termine)

T9/046 Seminarraum

Volker John

Gottfried Hastermann

einmal, ab 20.04.2020, 08:00 - 10:00 (12 Termine)

A3/ 024 Seminarraum

Volker John

Gottfried Hastermann

einmal, ab 17.04.2020, 14:00 - 16:00 (12 Termine)

A7/SR 140 Seminarraum (Hinterhaus)

Volker John

Gottfried Hastermann

einmal, ab 16.04.2020, 08:00 - 10:00 (13 Termine)

Mathematics (0084d_k120)

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

Seminar on Functional Analysis

LV: 19212111

a.SAP verarbeitet

2 SWS

Dirk Werner

Seminar

Submod: 0084cB1.1.1

Akt: 14.04.2020 14:00

Fri, 16:00 - 18:00 (A3/SR 210 Seminarraum)

Description

Selected topics of functional analysis.

References

Wird noch bekannt gegeben, siehe http://page.mi.fu-berlin.de/werner99/

Additional information

Zielgruppe:

Studierende des Bachelorstudiengangs.

Voraussetzungen:

Funktionalanalysis I.

Additional appointments

Appointment series

A3/SR 210 Seminarraum

Dirk Werner

einmal, ab 17.04.2020, 16:00 - 18:00 (12 Termine)

Seminar zur Visualisierung

LV: 19212411

a.SAP verarbeitet

2 SWS

Konrad Polthier

Henriette-Sophie Lipschütz

Seminar

Submod: 0084cB1.1.1

Akt: 14.04.2020 14:00

Tue, 14:00 - 16:00 (A6/108/109 Seminarraum)

Description

Topics might be:

general techniques in visualization
visualization of vector fields
rendering
image processing
smoothing
discrete methods on 3D models
animations

Additional appointments

Appointment series

A6/108/109 Seminarraum

Konrad Polthier

Henriette-Sophie Lipschütz

einmal, ab 14.04.2020, 14:00 - 16:00 (14 Termine)

Scientific writing

LV: 19213710

a.SAP verarbeitet

2 SWS

Christian Haase

Matthias Beck

Proseminar

Submod: 0084cB1.1.1

Akt: 14.04.2020 14:00

Tue, 14:00 - 16:00 (T9/049 Seminarraum)

Description

Additional information

Vorbesprechung und alles Weitere im Whiteboard

Additional appointments

Appointment series

T9/049 Seminarraum

Christian Haase

Matthias Beck

einmal, ab 14.04.2020, 14:00 - 16:00 (14 Termine)

(Hi)stories of Dynamics

LV: 19239811

a.SAP verarbeitet

2 SWS

Bernold Fiedler

Isabelle Schneider

Alejandro Lopez Nieto

Seminar

Submod: 0084cB1.1.1

Akt: 14.04.2020 14:00

Wed, 10:00 - 12:00 (A3/SR 130 Seminarraum (Hinterhaus))

Description

Additional appointments

Appointment series

A3/SR 130 Seminarraum (Hinterhaus)

Bernold Fiedler

Isabelle Schneider

Alejandro Lopez Nieto

einmal, ab 15.04.2020, 10:00 - 12:00 (14 Termine)

Cap Stone Seminar

LV: 19243206

a.SAP verarbeitet

2 SWS

Christian Haase

Matthias Beck

Seminar-style instruction

Submod: 0084dB1.1.1

Akt: 18.04.2020 18:00

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

Description

Das Modul entwickelt Überblicke über Begriffe und Inhalte der Mathematik als Wissenschaft, in ihrer geschichtlichen Entwicklung und mit aktuellen Themen, Problemen und Anwendungen, als Studienfach, mit den verschiedenen sowie als Schulfach mit seinen Inhalten in verschiedenen Klassenstufen. In diesem Modul geht es darum, diese inhaltlichen Beziehungen zwischen verschiedenen Themen der Mathematik exemplarisch herauszuarbeiten, insbesondere an einigen der folgenden Themen: Beweistechniken, Linearität, Stetigkeit, Unendlichkeit, Dimensionen, Zahlbereiche, Funktionen/Abbildungen, Zufall/Wahrscheinlichkeit/Statistik, Rechnen, Algorithmen. Weitere geeignete mathematische Querschnitts- und Übersichtsthemen sind: Mathematik aus Berlin, Mathematische Modelle, Präzision/Fehler/Irrtümer, Computeralgebra/Geometrie auf dem Computer, Mathematische Themen im Universitäts-Lehrbuch/im Schulbuch und in Wikipedia – Vergleiche

Additional appointments

Vorbesprechung 19243206 Cap Stone Seminar

A2/SR 1 Seminarraum

Christian Haase

Matthias Beck

24.03.2020 10:00 - 12:00

Appointment series

A6/SR 007/008 Seminarraum

Christian Haase

Matthias Beck

einmal, ab 15.04.2020, 14:00 - 16:00 (14 Termine)

Dynamical systems: chaos and stability

LV: 19243511

a.SAP verarbeitet

2 SWS

Péter Koltai

Seminar

Submod: 0084cB1.1.1

Akt: 14.04.2020 14:00

Thu, 08:00 - 10:00 (T9/049 Seminarraum)

Description

Inhalt

Jeder Teilnehmer wird einen Vortrag von 60 Minuten halten, an den sich eine fachliche und didaktische Diskussion anschließen soll. Voraussetzungen sind Analysis I-III.

Vortragsvorbereitung

Eine individuelle Vorbesprechung und genaue Angaben zu den entsprechenden Referenzen für die vergebenen Themen soll mindestens 2 Wochen vor dem Vortragstermin (und gerne früher) stattfinden.
Falls Sie einen Beamer für den Vortrag benutzen wollen, sagen Sie bitte rechtzeitig bei mir Bescheid.

Anforderung

Seminarvortrag (60 Minuten)
Ausarbeitung: max. 5 Seiten in vernünftiger Formatierung (inklusive Referenzen und Abbildungen)

References

Clark Robinson, Dynamical systems: stability, symbolic dynamics, and chaos, CRC Press
Richard A. Holmgren, A first course in discrete dynamical systems, Springer Verlag

Additional appointments

Appointment series

T9/049 Seminarraum

Péter Koltai

einmal, ab 16.04.2020, 08:00 - 10:00 (13 Termine)

Module: Complex Analysis (0084dB2.3)

Funktionentheorie

LV: 19212801

a.SAP verarbeitet

4 SWS

Andrea Petracci

Lecture

Submod: 0084cB2.3.1

Akt: 24.06.2020 16:00

Mon, 10:00 - 14:00 (T9/046 Seminarraum)

Description

Inhalt

Homepage: Dr. Petracci

References

Literatur:

E. Freitag and R. Busam 'Complex analysis', (Springer) 2nd Edition 2009 (the original German version is called 'Funktionentheorie')

Additional appointments

Klausur (der Termi findet im Raum L 115 im Seminarzentrum, Otto-von-Simson-Str. 26 statt)

L 115 Seminarzentrum

Andrea Petracci

14.07.2020 16:00 - 18:00

Appointment series

T9/046 Seminarraum

Andrea Petracci

einmal, ab 20.04.2020, 10:00 - 14:00 (12 Termine)

Übung zu Funktionentheorie

LV: 19212802

a.SAP verarbeitet

2 SWS

Andrea Petracci

Practice seminar

Submod: 0084cB2.3.2

Akt: 14.04.2020 14:00

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

Module: Stochastics II (0084dB2.4)

Stochastics II

LV: 19212901

a.SAP verarbeitet

4 SWS

Nicolas Perkowski

Lecture

Submod: 0084aC7.2.1

Akt: 13.10.2020 10:04

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

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

Description

Contents:

Construction of stochastic processes;
conditional expectation;
martingales in discrete time: convergence, stopping theorems, inequalities;
convergence types in stochastics;
uniform integrability;
Markov chains in discrete and continuous time: recurrence and transience, invariant measures;
convergence in distribution of stochatic processes;
Brownian motion and invariance principle.

Detailed Information can be found on the Homepage of 19212901 Basismodul: Stochastics II.

References

Klenke: Wahrscheinlichkeitstheorie
Durrett: Probability. Theory and Examples.

Weitere Literatur wird im Lauf der Vorlesung bekannt gegeben.
Further literature will be given during the lecture.

Additional information

Prerequisite: Stochastics I and Analysis I — III

Additional appointments

Klausur

Virtueller Raum 03

Nicolas Perkowski

29.07.2020 14:00 - 16:00

Nachklausur

Virtueller Raum 01

Nicolas Perkowski

19.10.2020 10:00 - 12:00

Appointment series

A6/SR 032 Seminarraum

Nicolas Perkowski

einmal, ab 16.04.2020, 08:00 - 10:00 (13 Termine)

A6/SR 032 Seminarraum

Nicolas Perkowski

einmal, ab 14.04.2020, 12:00 - 14:00 (14 Termine)

Practice seminar for Stochastics II

LV: 19212902

a.SAP verarbeitet

2 SWS

Nicolas Perkowski

Practice seminar

Submod: 0084aC7.2.2

Akt: 29.04.2020 00:00

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

Description

Inhalt

This course is the sequel of the course of Stochastics I. The main objective is to go beyond the first principles in probability theory by introducing the general language of measure theory, and the application of this framework in a wide variety of probabilistic scenarios.
More precisely, the course will cover the following aspects of probability theory:
Measure theory and the Lebesgue integral
Convergence of random variables and 0-1 laws
Generating functions: branching processes and characteristic functions
Markov chains
Introduction to martingales

Additional information

Voraussetzungen: Grundkenntnisse aus Analysis und Linearer Algebra

Additional appointments

Appointment series

A6/SR 025/026 Seminarraum

Nicolas Perkowski

einmal, ab 14.04.2020, 16:00 - 18:00 (14 Termine)

Module: Geometry (0084dB2.7)

Geometry

LV: 19213101

a.SAP verarbeitet

4 SWS

Alexander Schmitt

Lecture

Submod: 0084cB4.1.1

Akt: 30.09.2020 11:52

Thu, 12:00 - 14:00 ()

Mon, 12:00 - 14:00 ()

Description

Inhalt

Sie behandelt grundlegende Modelle der Geometrie, insbesondere

Dabei werden weitere Bezüge hergestellt, zum Beispiel zur Funktionentheorie und zur Numerik.

Website der Veranstaltung

Additional information

Die Zentralübung findet in Form einer Online-Fragestunde (1-mal wöchentlich, 90 Minuten) statt. Der Zeitpunkt wird zu Beginn der Vorlesungszeit mit den Studierenden vereinbart.

Additional appointments

Klausur

Virtueller Raum 02

Alexander Schmitt

06.08.2020 10:00 - 12:00

Geometrie

Virtueller Raum 01

Alexander Schmitt

16.10.2020 14:00 - 16:00

Appointment series

Alexander Schmitt

einmal, ab 16.04.2020, 12:00 - 14:00 (13 Termine)

Alexander Schmitt

einmal, ab 20.04.2020, 12:00 - 14:00 (12 Termine)

Practice seminar for Geometry

LV: 19213102

a.SAP verarbeitet

2 SWS

Hanxing Lin

Practice seminar

Submod: 0084cB4.1.2

Akt: 06.05.2020 12:00

Thu, 10:00 - 12:00 ()

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

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

(Hi)stories of Dynamics

LV: 19239811

a.SAP verarbeitet

2 SWS

Bernold Fiedler

Isabelle Schneider

Alejandro Lopez Nieto

Seminar

Submod: 0084cB1.1.1

Akt: 14.04.2020 14:00

Wed, 10:00 - 12:00 (A3/SR 130 Seminarraum (Hinterhaus))

Description

Additional appointments

Appointment series

A3/SR 130 Seminarraum (Hinterhaus)

Bernold Fiedler

Isabelle Schneider

Alejandro Lopez Nieto

einmal, ab 15.04.2020, 10:00 - 12:00 (14 Termine)

Module: Differential Equations I (0084dB3.1)

Basic Module: Differential Equations I - Dynamical Systems I

LV: 19215601

a.SAP verarbeitet

4 SWS

Bernold Fiedler

Lecture

Submod: 0084cB3.1.1

Akt: 24.06.2020 14:40

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

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

Description

Dynamical Systems I (4+2) The module transmits fundamental methods and knowledge of the following mathematical subjects:

Existence and uniqueness of solutions of ordinary differential equations.
Flows, differentiablility and first integrals
Linear differential equations.
Lyapunov functions
α- and ω-limit sets
Planar flows and the Poincaré-Bendixson theorem.
Forced oscillations.

References

L.C. Evans, Partial Differential Equations. Gelegentlich: W. Strauss, Partial Differential Equation. Alle Exemplare beider Texte stehen im Handapparat Ecker.

Vorausgesetztes Material zu Analysis II und III siehe z.B. Appendices in diesem Buch (vor allem Appendix C und E (Maß- und Integrationstheorie).

Additional information

Analysis I to III and Lineare Algebra I and II.

¶¶

Additional appointments

Klausur

Virtueller Raum 02

Bernold Fiedler

14.07.2020 10:00 - 12:00

Appointment series

A6/SR 032 Seminarraum

Bernold Fiedler

einmal, ab 16.04.2020, 10:00 - 12:00 (13 Termine)

A6/SR 032 Seminarraum

Bernold Fiedler

einmal, ab 14.04.2020, 10:00 - 12:00 (14 Termine)

Practice seminar for Basic Module: Differential Equations I - Dynamical Systems I

LV: 19215602

a.SAP verarbeitet

2 SWS

Isabelle Schneider

Alejandro Lopez Nieto

Practice seminar

Submod: 0084cB3.1.2

Akt: 22.04.2020 16:00

Mon, 10:00 - 12:00 (A3/SR 210 Seminarraum)

Wed, 16:00 - 18:00 (A3/SR 210 Seminarraum)

Description

Am 23. April findet keine Übung statt.

Additional appointments

Appointment series

A3/SR 210 Seminarraum

Isabelle Schneider

Alejandro Lopez Nieto

einmal, ab 20.04.2020, 10:00 - 12:00 (12 Termine)

A3/SR 210 Seminarraum

Isabelle Schneider

Alejandro Lopez Nieto

einmal, ab 15.04.2020, 16:00 - 18:00 (14 Termine)

Module: Discrete Mathematics I (0084dB3.2)

Discrete Mathematics I

LV: 19214701

a.SAP verarbeitet

4 SWS

Tibor Szabo

Lecture

Submod: 0084aC3.1.1

Akt: 26.08.2020 13:19

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

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

Description

Content:

Selection from the following topics:

Enumeration (twelvefold way, inclusion-exclusion, double counting, recursions, generating functions, inversion, Ramsey's Theorem, asymptotic counting)
Discrete Structures (graphs, set systems, designs, posets, matroids)
Graph Theory (trees, matchings, connectivity, planarity, colorings)

For further information, please see: http://discretemath.imp.fu-berlin.de/DMI-2020/

References

M. Aigner: Diskrete Mathematik
R. Diestel: Graph Theory
J. Matousek, J. Nesetril: An invitation to Discrete Mathematics
D. West: Introduction to Graph Theory

Additional information

Target group:

BMS students, Master and Bachelor students

Additional appointments

Klausur (der Termin findet im Hörsaal 1a, Habelschwerdter Allee 45, Rostlaube statt).

Hs 1a Hörsaal

Tibor Szabo

22.07.2020 13:00 - 16:00

Diskrete Mathematik I - Klausureinsicht

A3/Hs 001 Hörsaal

Tibor Szabo

28.08.2020 14:00 - 16:00

Nachklausur (der Termin findet in der Mensa statt)

Speisesaal Mensa II

Tibor Szabo

09.10.2020 10:00 - 13:00

Appointment series

A6/SR 032 Seminarraum

Tibor Szabo

einmal, ab 15.04.2020, 14:00 - 16:00 (14 Termine)

A6/SR 032 Seminarraum

Tibor Szabo

einmal, ab 14.04.2020, 14:00 - 16:00 (14 Termine)

Practice seminar for Discrete Mathematics I

LV: 19214702

a.SAP verarbeitet

2 SWS

Tibor Szabo

Michael Anastos

Practice seminar

Submod: 0084aC3.1.2

Akt: 29.04.2020 20:00

Wed, 08:00 - 10:00 (A3/ 024 Seminarraum )

Tue, 16:00 - 18:00 (A6/SR 007/008 Seminarraum)

Description

Content:

Selection from the following topics:

Counting (basics, double counting, Pigeonhole Principle, recursions, generating functions, Inclusion-Exclusion, inversion, Polya theory)
Discrete Structures (graphs, set systems, designs, posets, matroids)
Graph Theory (trees, matchings, connectivity, planarity, colorings)
Algorithms (asymptotic running time, BFS, DFS, Dijkstra, Greedy, Kruskal, Hungarian, Ford-Fulkerson)

Additional appointments

Appointment series

A3/ 024 Seminarraum

Tibor Szabo

Michael Anastos

einmal, ab 15.04.2020, 08:00 - 10:00 (14 Termine)

A6/SR 007/008 Seminarraum

Tibor Szabo

Michael Anastos

einmal, ab 14.04.2020, 16:00 - 18:00 (14 Termine)

Module: Analysis I (0084dA1.1)

Analysis I

LV: 19202801

a.SAP verarbeitet

4 SWS

Dirk Werner

Lecture

Submod: 0084aA1.1.1

Akt: 29.10.2020 16:00

Thu, 08:00 - 10:00 (A3/Hs 001 Hörsaal)

Tue, 08:00 - 10:00 (A3/Hs 001 Hörsaal)

Description

Additional appointments

Klausur

Virtueller Raum 02

Dirk Werner

31.08.2020 16:00 - 18:00

Analysis I

A6/SR 007/008 Seminarraum

Dirk Werner

02.09.2020 10:00 - 18:00

Korrektur der Wiederholungsklausur Analysis I, SS 2020

A6/SR 007/008 Seminarraum

Dirk Werner

29.10.2020 10:00 - 16:00

Appointment series

A3/Hs 001 Hörsaal

Dirk Werner

einmal, ab 16.04.2020, 08:00 - 10:00 (13 Termine)

A3/Hs 001 Hörsaal

Dirk Werner

einmal, ab 21.04.2020, 08:00 - 10:00 (13 Termine)

Practice seminar for Analysis I

LV: 19202802

a.SAP verarbeitet

2 SWS

Dirk Werner

Practice seminar

Submod: 0084aA1.1.2

Akt: 14.04.2020 14:00

Wed, 10:00 - 12:00 (A6/SR 009 Seminarraum)

Wed, 10:00 - 12:00 (A7/SR 140 Seminarraum (Hinterhaus))

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

Tue, 14:00 - 16:00 (A3/SR 119)

Additional appointments

Appointment series

A6/SR 009 Seminarraum

Dirk Werner

einmal, ab 15.04.2020, 10:00 - 12:00 (14 Termine)

A7/SR 140 Seminarraum (Hinterhaus)

Dirk Werner

einmal, ab 15.04.2020, 10:00 - 12:00 (14 Termine)

A6/SR 031 Seminarraum

Dirk Werner

einmal, ab 15.04.2020, 14:00 - 16:00 (14 Termine)

A3/SR 119

Dirk Werner

einmal, ab 14.04.2020, 14:00 - 16:00 (14 Termine)

Module: Analysis II (0084dA1.2)

Analysis II

LV: 19211601

a.SAP verarbeitet

4 SWS

Klaus Ecker

Lecture

Submod: 0084cA1.2.1

Akt: 10.09.2020 16:00

Thu, 10:00 - 12:00 (A3/Hs 001 Hörsaal)

Tue, 10:00 - 12:00 (A3/Hs 001 Hörsaal)

Description

Inhalt

Ergänzungen zur Analysis I. Taylor polynome und Taylorreihen. Weitere Konvergenzkriterien von Reihen.
Integration. Integration stetiger Funktionen. Erweiterung auf stückweise stetige Funktionen. Trapezregel. Hauptsatz der Differential- und Integralrechnung.
Elemente der Topologie. Normierte und metrische Räume. Offene Mengen. Konvergenz. Abgeschlossene Mengen. Stetigkeit. Kompaktheit.
Differentialrechnung mehrerer Veränderlicher. Partielle, totale und stetige Differenzierbarkeit. Satz über die Umkehrfunktion. Satz über implizite Funktionen im R2.

References

Spivak: Calculus
Forster: Analysis II
Hildebrandt: Analysis I & II
Spivak: Calculus on manifolds

Additional appointments

Klausur

Speisesaal Mensa II

Virtueller Raum 03

Klaus Ecker

14.07.2020 11:00 - 13:00

Nachklausur

Speisesaal Mensa II

Klaus Ecker

10.11.2020 10:00 - 12:00

Appointment series

A3/Hs 001 Hörsaal

Klaus Ecker

einmal, ab 16.04.2020, 10:00 - 12:00 (13 Termine)

A3/Hs 001 Hörsaal

Klaus Ecker

einmal, ab 21.04.2020, 10:00 - 12:00 (13 Termine)

Practice seminar for Analysis II

LV: 19211602

a.SAP verarbeitet

2 SWS

Klaus Ecker

Practice seminar

Submod: 0084cA1.2.2

Akt: 14.04.2020 14:00

Wed, 14:00 - 16:00 (A3/SR 130 Seminarraum (Hinterhaus))

Wed, 12:00 - 14:00 (A7/SR 140 Seminarraum (Hinterhaus))

Thu, 08:00 - 10:00 (KöLu24-26/SR 006 Neuro/Mathe)

Wed, 12:00 - 14:00 (A3/ 024 Seminarraum )

Additional appointments

Appointment series

A3/SR 130 Seminarraum (Hinterhaus)

Klaus Ecker

einmal, ab 15.04.2020, 14:00 - 16:00 (14 Termine)

A7/SR 140 Seminarraum (Hinterhaus)

Klaus Ecker

einmal, ab 15.04.2020, 12:00 - 14:00 (14 Termine)

KöLu24-26/SR 006 Neuro/Mathe

Klaus Ecker

einmal, ab 16.04.2020, 08:00 - 10:00 (13 Termine)

A3/ 024 Seminarraum

Klaus Ecker

einmal, ab 15.04.2020, 12:00 - 14:00 (14 Termine)

Module: Linear Algebra I (0084dA1.4)

Linear Algebra I

LV: 19201401

a.SAP verarbeitet

4 SWS

Pavle Blagojevic

Lecture

Submod: 0084aA2.1.1

Akt: 05.05.2020 22:00

Mon, 08:00 - 10:00 (A3/Hs 001 Hörsaal)

Wed, 08:00 - 10:00 (A3/Hs 001 Hörsaal)

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

Literatur:
Siegfried Bosch, Lineare Algebra, 4. Auflage, Springer-Verlag, 2008;
Tammo tom Dieck, Lineare Algebra, Skript, Universität Göttingen Version vom 7.10.2014

Additional appointments

Appointment series

A3/Hs 001 Hörsaal

Pavle Blagojevic

einmal, ab 20.04.2020, 08:00 - 10:00 (12 Termine)

A3/Hs 001 Hörsaal

Pavle Blagojevic

einmal, ab 15.04.2020, 08:00 - 10:00 (14 Termine)

Practice seminar for Linear Algebra I

LV: 19201402

a.SAP verarbeitet

2 SWS

Pavle Blagojevic

Practice seminar

Submod: 0084aA2.1.2

Akt: 05.10.2020 18:00

Wed, 12:00 - 14:00 (A3/SR 119)

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

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

Wed, 12:00 - 14:00 (A6/SR 007/008 Seminarraum)

Additional appointments

Appointment series

A3/SR 119

Pavle Blagojevic

einmal, ab 15.04.2020, 12:00 - 14:00 (14 Termine)

A6/SR 032 Seminarraum

Pavle Blagojevic

einmal, ab 16.04.2020, 12:00 - 14:00 (13 Termine)

A6/SR 025/026 Seminarraum

Pavle Blagojevic

einmal, ab 16.04.2020, 12:00 - 14:00 (13 Termine)

A6/SR 007/008 Seminarraum

Pavle Blagojevic

einmal, ab 15.04.2020, 12:00 - 14:00 (14 Termine)

Module: Linear Algebra II (0084dA1.5)

Linear Algebra II

LV: 19211701

a.SAP verarbeitet

4 SWS

Rainer Sinn

Lecture

Submod: 0084cA1.5.1

Akt: 02.07.2020 15:50

Wed, 12:00 - 14:00 (A3/Hs 001 Hörsaal)

Mon, 12:00 - 14:00 (A3/Hs 001 Hörsaal)

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

Klausur

Virtueller Raum 05

Rainer Sinn

31.07.2020 10:00 - 12:00

Appointment series

A3/Hs 001 Hörsaal

Rainer Sinn

einmal, ab 15.04.2020, 12:00 - 14:00 (14 Termine)

A3/Hs 001 Hörsaal

Rainer Sinn

einmal, ab 20.04.2020, 12:00 - 14:00 (12 Termine)

Practice seminar for Linear Algebra II

LV: 19211702

a.SAP verarbeitet

2 SWS

Marie-Charlotte Brandenburg

Practice seminar

Submod: 0084cA1.5.2

Akt: 14.04.2020 14:00

Thu, 08:00 - 10:00 (A3/019 Seminarraum)

Thu, 08:00 - 10:00 (A3/ 024 Seminarraum )

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

Thu, 08:00 - 10:00 (A3/SR 119)

Additional appointments

Appointment series

A3/019 Seminarraum

Marie-Charlotte Brandenburg

einmal, ab 16.04.2020, 08:00 - 10:00 (13 Termine)

A3/ 024 Seminarraum

Marie-Charlotte Brandenburg

einmal, ab 16.04.2020, 08:00 - 10:00 (13 Termine)

A6/SR 025/026 Seminarraum

Marie-Charlotte Brandenburg

einmal, ab 17.04.2020, 10:00 - 12:00 (12 Termine)

A3/SR 119

Marie-Charlotte Brandenburg

einmal, ab 16.04.2020, 08:00 - 10:00 (13 Termine)

Module: Computer-Oriented Mathematics II (0084dA1.7)

Computer-oriented Mathematics II

LV: 19211901

a.SAP verarbeitet

2 SWS

Carsten Gräser

Lecture

Submod: 0084aA3.2.1

Akt: 14.04.2020 14:00

Fri, 12:00 - 14:00 (T9/Gr. Hörsaal)

Description

Inhalt:

Die Auswahl der behandelten numerischen Verfahren enthält Polynominterpolation, Newton-Cotes-Formeln zur numerische Integration und Euler-Verfahren für lineare Differentialgleichungen.

Additional information

Studierende der Mathematik (Monobachelor und Lehramt) und Bioinformatik, sowie Numerikinteressierte aus Physik, Informatik und anderen Natur- und Geisteswissenschaften.

Additional appointments

Appointment series

T9/Gr. Hörsaal

Carsten Gräser

einmal, ab 17.04.2020, 12:00 - 14:00 (12 Termine)

Practice seminar for Computer-oriented Mathematics II

LV: 19211902

a.SAP verarbeitet

2 SWS

Carsten Gräser

Practice seminar

Submod: 0084aA3.2.2

Akt: 14.04.2020 14:00

Tue, 12:00 - 14:00 (A6/SR 009 Seminarraum)

Tue, 16:00 - 18:00 (KöLu24-26/SR 006 Neuro/Mathe)

Thu, 12:00 - 14:00 (A7/SR 140 Seminarraum (Hinterhaus))

Tue, 12:00 - 14:00 (A3/SR 119)

Tue, 16:00 - 18:00 (A6/SR 009 Seminarraum)

Wed, 14:00 - 16:00 (A6/SR 009 Seminarraum)

Wed, 14:00 - 16:00 (A7/SR 140 Seminarraum (Hinterhaus))

Wed, 16:00 - 18:00 (A3/SR 119)

Additional appointments

Appointment series

A6/SR 009 Seminarraum

Carsten Gräser

einmal, ab 14.04.2020, 12:00 - 14:00 (14 Termine)

KöLu24-26/SR 006 Neuro/Mathe

Carsten Gräser

einmal, ab 14.04.2020, 16:00 - 18:00 (14 Termine)

A7/SR 140 Seminarraum (Hinterhaus)

Carsten Gräser

einmal, ab 16.04.2020, 12:00 - 14:00 (13 Termine)

A3/SR 119

Carsten Gräser

einmal, ab 14.04.2020, 12:00 - 14:00 (14 Termine)

A6/SR 009 Seminarraum

Carsten Gräser

einmal, ab 14.04.2020, 16:00 - 18:00 (14 Termine)

A6/SR 009 Seminarraum

Carsten Gräser

einmal, ab 15.04.2020, 14:00 - 16:00 (14 Termine)

A7/SR 140 Seminarraum (Hinterhaus)

Carsten Gräser

einmal, ab 15.04.2020, 14:00 - 16:00 (14 Termine)

A3/SR 119

Carsten Gräser

einmal, ab 15.04.2020, 16:00 - 18:00 (14 Termine)

Module: Numerics I (0084dA1.9)

Numerics I

LV: 19212001

a.SAP verarbeitet

4 SWS

Volker John

Lecture

Submod: 0084aA4.1.1

Akt: 14.04.2020 14:00

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

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

Description

Numerical methods for: iterative solution of nonlinear systems of equations (fixpoint and Newton methods), curve fitting, interpolation, numerical quadrature, and numerics of ODE systems.

References

Stoer, Josef und Roland Bulirsch: Numerische Mathematik - eine Einführung, Band 1. Springer, Berlin, 2005.

Aus dem FU-Netz auch online verfügbar.

Link

Additional appointments

Appointment series

A6/SR 032 Seminarraum

Volker John

einmal, ab 20.04.2020, 10:00 - 12:00 (12 Termine)

A6/SR 032 Seminarraum

Volker John

einmal, ab 15.04.2020, 10:00 - 12:00 (14 Termine)

Practice seminar for Numerics I

LV: 19212002

a.SAP verarbeitet

2 SWS

Volker John

Gottfried Hastermann

Practice seminar

Submod: 0084aA4.1.2

Akt: 11.08.2020 14:00

Wed, 12:00 - 14:00 (T9/046 Seminarraum)

Mon, 08:00 - 10:00 (T9/046 Seminarraum)

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

Thu, 08:00 - 10:00 (A7/SR 140 Seminarraum (Hinterhaus))

Additional information

Alle aktuellen Informationen zu Vorlesung und Übungen

Additional appointments

Appointment series

T9/046 Seminarraum

Volker John

Gottfried Hastermann

einmal, ab 15.04.2020, 12:00 - 14:00 (14 Termine)

T9/046 Seminarraum

Volker John

Gottfried Hastermann

einmal, ab 20.04.2020, 08:00 - 10:00 (12 Termine)

A3/ 024 Seminarraum

Volker John

Gottfried Hastermann

einmal, ab 17.04.2020, 14:00 - 16:00 (12 Termine)

A7/SR 140 Seminarraum (Hinterhaus)

Volker John

Gottfried Hastermann

einmal, ab 16.04.2020, 08:00 - 10:00 (13 Termine)

Master's programme in Mathematics

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

Module: Advanced Module Differential Equations I (0280aA1.1)

Basic Module: Differential Equations I - Dynamical Systems I

LV: 19215601

a.SAP verarbeitet

4 SWS

Bernold Fiedler

Lecture

Submod: 0084cB3.1.1

Akt: 24.06.2020 14:40

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

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

Description

Dynamical Systems I (4+2) The module transmits fundamental methods and knowledge of the following mathematical subjects:

Existence and uniqueness of solutions of ordinary differential equations.
Flows, differentiablility and first integrals
Linear differential equations.
Lyapunov functions
α- and ω-limit sets
Planar flows and the Poincaré-Bendixson theorem.
Forced oscillations.

References

L.C. Evans, Partial Differential Equations. Gelegentlich: W. Strauss, Partial Differential Equation. Alle Exemplare beider Texte stehen im Handapparat Ecker.

Vorausgesetztes Material zu Analysis II und III siehe z.B. Appendices in diesem Buch (vor allem Appendix C und E (Maß- und Integrationstheorie).

Additional information

Analysis I to III and Lineare Algebra I and II.

¶¶

Additional appointments

Klausur

Virtueller Raum 02

Bernold Fiedler

14.07.2020 10:00 - 12:00

Appointment series

A6/SR 032 Seminarraum

Bernold Fiedler

einmal, ab 16.04.2020, 10:00 - 12:00 (13 Termine)

A6/SR 032 Seminarraum

Bernold Fiedler

einmal, ab 14.04.2020, 10:00 - 12:00 (14 Termine)

Practice seminar for Basic Module: Differential Equations I - Dynamical Systems I

LV: 19215602

a.SAP verarbeitet

2 SWS

Isabelle Schneider

Alejandro Lopez Nieto

Practice seminar

Submod: 0084cB3.1.2

Akt: 22.04.2020 16:00

Mon, 10:00 - 12:00 (A3/SR 210 Seminarraum)

Wed, 16:00 - 18:00 (A3/SR 210 Seminarraum)

Description

Am 23. April findet keine Übung statt.

Additional appointments

Appointment series

A3/SR 210 Seminarraum

Isabelle Schneider

Alejandro Lopez Nieto

einmal, ab 20.04.2020, 10:00 - 12:00 (12 Termine)

A3/SR 210 Seminarraum

Isabelle Schneider

Alejandro Lopez Nieto

einmal, ab 15.04.2020, 16:00 - 18:00 (14 Termine)

Module: Advanced Module Combinatorics and Graph Theory (0280aA2.1)

Discrete Mathematics I

LV: 19214701

a.SAP verarbeitet

4 SWS

Tibor Szabo

Lecture

Submod: 0084aC3.1.1

Akt: 26.08.2020 13:19

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

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

Description

Content:

Selection from the following topics:

Enumeration (twelvefold way, inclusion-exclusion, double counting, recursions, generating functions, inversion, Ramsey's Theorem, asymptotic counting)
Discrete Structures (graphs, set systems, designs, posets, matroids)
Graph Theory (trees, matchings, connectivity, planarity, colorings)

For further information, please see: http://discretemath.imp.fu-berlin.de/DMI-2020/

References

M. Aigner: Diskrete Mathematik
R. Diestel: Graph Theory
J. Matousek, J. Nesetril: An invitation to Discrete Mathematics
D. West: Introduction to Graph Theory

Additional information

Target group:

BMS students, Master and Bachelor students

Additional appointments

Klausur (der Termin findet im Hörsaal 1a, Habelschwerdter Allee 45, Rostlaube statt).

Hs 1a Hörsaal

Tibor Szabo

22.07.2020 13:00 - 16:00

Diskrete Mathematik I - Klausureinsicht

A3/Hs 001 Hörsaal

Tibor Szabo

28.08.2020 14:00 - 16:00

Nachklausur (der Termin findet in der Mensa statt)

Speisesaal Mensa II

Tibor Szabo

09.10.2020 10:00 - 13:00

Appointment series

A6/SR 032 Seminarraum

Tibor Szabo

einmal, ab 15.04.2020, 14:00 - 16:00 (14 Termine)

A6/SR 032 Seminarraum

Tibor Szabo

einmal, ab 14.04.2020, 14:00 - 16:00 (14 Termine)

Practice seminar for Discrete Mathematics I

LV: 19214702

a.SAP verarbeitet

2 SWS

Tibor Szabo

Michael Anastos

Practice seminar

Submod: 0084aC3.1.2

Akt: 29.04.2020 20:00

Wed, 08:00 - 10:00 (A3/ 024 Seminarraum )

Tue, 16:00 - 18:00 (A6/SR 007/008 Seminarraum)

Description

Content:

Selection from the following topics:

Counting (basics, double counting, Pigeonhole Principle, recursions, generating functions, Inclusion-Exclusion, inversion, Polya theory)
Discrete Structures (graphs, set systems, designs, posets, matroids)
Graph Theory (trees, matchings, connectivity, planarity, colorings)
Algorithms (asymptotic running time, BFS, DFS, Dijkstra, Greedy, Kruskal, Hungarian, Ford-Fulkerson)

Additional appointments

Appointment series

A3/ 024 Seminarraum

Tibor Szabo

Michael Anastos

einmal, ab 15.04.2020, 08:00 - 10:00 (14 Termine)

A6/SR 007/008 Seminarraum

Tibor Szabo

Michael Anastos

einmal, ab 14.04.2020, 16:00 - 18:00 (14 Termine)

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

Basic Module: Discrete Geometrie II

LV: 19214901

a.SAP verarbeitet

4 SWS

Matthias Beck

Lecture

Submod: 0280aA2.2.1

Akt: 24.06.2020 14:40

Tue, 08:00 - 10:00 (A3/SR 119)

Thu, 12:00 - 14:00 (A3/SR 119)

Description

Inhalt:

This is the second in a series of three courses on discrete geometry. The aim of the course is a skillful handling of discrete geometric structures with an emphasis on metric and convex geometric properties. In the course we will develop central themes in metric and convex geometry including proof techniques and applications to other areas in mathematics.

The material will be a selection of the following topics:
Linear programming and some applications

Linear programming and duality
Pivot rules and the diameter of polytopes

Subdivisions and triangulations

Delaunay and Voronoi
Delaunay triangulations and inscribable polytopes
Weighted Voronoi diagrams and optimal transport

Basic structures in convex geometry

convexity and separation theorems
convex bodies and polytopes/polyhedra
polarity
Mahler’s conjecture
approximation by polytopes

Volumes and roundness

Hilbert’s third problem
volumes and mixed volumes
volume computations and estimates
Löwner-John ellipsoids and roundness
valuations

Geometric inequalities

Brunn-Minkowski and Alexandrov-Fenchel inequality
isoperimetric inequalities
measure concentration and phenomena in high-dimensions

Geometry of numbers

lattices
Minkowski's (first) theorem
successive minima
lattice points in convex bodies and Ehrhart's theorem
Ehrhart-Macdonald reciprocity

Sphere packings

lattice packings and coverings
the Theorem of Minkowski-Hlawka
analytic methods

Applications in optimization, number theory, algebra, algebraic geometry, and functional analysis

References

The course will use material from P. M. Gruber, " Convex and Discrete Geometry" (Springer 2007) and various other sources. There will be brief lecture notes available for course participants with detailed pointers to the literature.

Additional information

Solid background in linear algebra and some analysis. Basic knowledge and experience with polytopes and/or convexity (as from the course "Discrete Geometry I") will be helpful. .

Additional appointments

Klausur

Virtueller Raum 02

Matthias Beck

21.07.2020 12:00 - 14:00

Appointment series

A3/SR 119

Matthias Beck

einmal, ab 14.04.2020, 08:00 - 10:00 (14 Termine)

A3/SR 119

Matthias Beck

einmal, ab 16.04.2020, 12:00 - 14:00 (13 Termine)

Practice seminar for Basic Module: Discrete Geometrie II

LV: 19214902

a.SAP verarbeitet

2 SWS

Matthias Beck

Practice seminar

Submod: 0280aA2.2.2

Akt: 14.04.2020 14:00

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

Module: Specialization Module Numerics III: Partial Differential Equations (0280aA4.2)

Basic Module: Numerics III

LV: 19215201

a.SAP verarbeitet

4 SWS

Ralf Kornhuber

Lecture

Submod: 0280aA4.2.1

Akt: 14.04.2020 14:00

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

Mon, 10:00 - 12:00 (A3/SR 130 Seminarraum (Hinterhaus))

Description

Content:

Mathematical modelling of spatial or spatial/temporal phenomena such as porous medium flow, solidification of melts, weather prediction, etc. typically leads to partial differential equations (pdes). After some remarks on the modelling with and classification of pdes, the course will concentrate on elliptic problems. Starting with a brief introduction to the classical theory (existence and uniqueness of solutions, Green's functions) and assiciated difference methods we will mainly focus on weak solutions and their approximation by finite element methods. Adaptivity and multigrid methods will be also discussed.

References

F. John: Partial Differential Equations. Springer (1982)
M. Renardy, R. C. Rogers: An introduction to partial differential equations, Springer, 2. Auflage (2004)
A. Quarteroni, R. Sacco, F. Saleri: Numerische Mathematik 2. Springer (2002)
D. Braess: Finite Elemente. Springer, 3. Auflage (2002)
P. A. Raviart, J. M. Thomas: Introduction à l'analyse numérique des équations aux dérivées partielles, Dunod (1998)

Additional information

Prerequisites

Prerequisites for this course are basic knowledge in calculus (Analysis I-III) and Numerical Analysis (Numerik I). Some knowledge in Functional Analysis will help a lot.

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Ralf Kornhuber

einmal, ab 20.04.2020, 14:00 - 16:00 (12 Termine)

A3/SR 130 Seminarraum (Hinterhaus)

Ralf Kornhuber

einmal, ab 20.04.2020, 10:00 - 12:00 (12 Termine)

Practice seminar for Basic Module: Numerics III

LV: 19215202

a.SAP verarbeitet

2 SWS

Ralf Kornhuber

Xingjian Zhang-Schneider

Practice seminar

Submod: 0280aA4.2.2

Akt: 14.04.2020 14:00

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

Module: "Special Module ""Topology III""" (0280aA6.3)

Advanced Module: Topologie III

LV: 19215101

a.SAP verarbeitet

2 SWS

Holger Reich

Lecture

Submod: 0280aA6.3.1

Akt: 14.04.2020 14:00

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

Description

This lecture will continue the introduction to algebraic topology. The emphasis will be on homotopy theory: homotopy sets and groups, Puppe sequences, cofibrations and fibrations, the theorem of Blakers-Massey, colimits and limits, the theorem of Hurewicz, introduction to spectral sequences, ...

Detailed Information can be found on the Homepage of 19215101 Aufbaumodul: Topologie III.

References

Algebraic topology, Tammo tom Dieck, EMS Textbooks in Mathematics 2008

Additional information

We strongly recommend to also take the course >Homotopy theory<.

Additional appointments

Appointment series

A6/SR 031 Seminarraum

Holger Reich

einmal, ab 14.04.2020, 10:00 - 12:00 (14 Termine)

Practice seminar for Advanced Module: Topologie III

LV: 19215102

a.SAP verarbeitet

2 SWS

Holger Reich

Gabriel James Angelini-Knoll

Practice seminar

Submod: 0280aA6.3.2

Akt: 14.04.2020 14:00

Thu, 14:00 - 16:00 (A3/SR 119)

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

Module: Introductory Module Algebra II (0280bA2.2)

Basic Module: Algebra II

LV: 19214501

a.SAP verarbeitet

4 SWS

Alexandru Constantinescu

Lecture

Submod: 0280bA2.2.1

Akt: 14.04.2020 14:00

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

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

Practice seminar for Basic Module: Algebra II

LV: 19214502

a.SAP verarbeitet

2 SWS

Alexandru Constantinescu

Practice seminar

Submod: 0280bA2.2.2

Akt: 14.04.2020 14:00

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

Module: Forschungsmodul Algebra (0280bA2.4)

Forschungsmodul: Algebra

LV: 19214611

a.SAP verarbeitet

2 SWS

Klaus Altmann

Seminar

Submod: 0280bA2.4.1

Akt: 14.04.2020 14:00

Mon, 14:00 - 16:00 (A3/SR 119)

Description

Inhalt:

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

A3/SR 119

Klaus Altmann

einmal, ab 20.04.2020, 14:00 - 16:00 (12 Termine)

Module: Basismodul Diskrete Mathematik I (0280bA3.1)

Discrete Mathematics I

LV: 19214701

a.SAP verarbeitet

4 SWS

Tibor Szabo

Lecture

Submod: 0084aC3.1.1

Akt: 26.08.2020 13:19

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

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

Description

Content:

Selection from the following topics:

Enumeration (twelvefold way, inclusion-exclusion, double counting, recursions, generating functions, inversion, Ramsey's Theorem, asymptotic counting)
Discrete Structures (graphs, set systems, designs, posets, matroids)
Graph Theory (trees, matchings, connectivity, planarity, colorings)

For further information, please see: http://discretemath.imp.fu-berlin.de/DMI-2020/

References

M. Aigner: Diskrete Mathematik
R. Diestel: Graph Theory
J. Matousek, J. Nesetril: An invitation to Discrete Mathematics
D. West: Introduction to Graph Theory

Additional information

Target group:

BMS students, Master and Bachelor students

Additional appointments

Klausur (der Termin findet im Hörsaal 1a, Habelschwerdter Allee 45, Rostlaube statt).

Hs 1a Hörsaal

Tibor Szabo

22.07.2020 13:00 - 16:00

Diskrete Mathematik I - Klausureinsicht

A3/Hs 001 Hörsaal

Tibor Szabo

28.08.2020 14:00 - 16:00

Nachklausur (der Termin findet in der Mensa statt)

Speisesaal Mensa II

Tibor Szabo

09.10.2020 10:00 - 13:00

Appointment series

A6/SR 032 Seminarraum

Tibor Szabo

einmal, ab 15.04.2020, 14:00 - 16:00 (14 Termine)

A6/SR 032 Seminarraum

Tibor Szabo

einmal, ab 14.04.2020, 14:00 - 16:00 (14 Termine)

Practice seminar for Discrete Mathematics I

LV: 19214702

a.SAP verarbeitet

2 SWS

Tibor Szabo

Michael Anastos

Practice seminar

Submod: 0084aC3.1.2

Akt: 29.04.2020 20:00

Wed, 08:00 - 10:00 (A3/ 024 Seminarraum )

Tue, 16:00 - 18:00 (A6/SR 007/008 Seminarraum)

Description

Content:

Selection from the following topics:

Counting (basics, double counting, Pigeonhole Principle, recursions, generating functions, Inclusion-Exclusion, inversion, Polya theory)
Discrete Structures (graphs, set systems, designs, posets, matroids)
Graph Theory (trees, matchings, connectivity, planarity, colorings)
Algorithms (asymptotic running time, BFS, DFS, Dijkstra, Greedy, Kruskal, Hungarian, Ford-Fulkerson)

Additional appointments

Appointment series

A3/ 024 Seminarraum

Tibor Szabo

Michael Anastos

einmal, ab 15.04.2020, 08:00 - 10:00 (14 Termine)

A6/SR 007/008 Seminarraum

Tibor Szabo

Michael Anastos

einmal, ab 14.04.2020, 16:00 - 18:00 (14 Termine)

Module: Basismodul Diskrete Geometrie II (0280bA3.4)

Basic Module: Discrete Geometrie II

LV: 19214901

a.SAP verarbeitet

4 SWS

Matthias Beck

Lecture

Submod: 0280aA2.2.1

Akt: 24.06.2020 14:40

Tue, 08:00 - 10:00 (A3/SR 119)

Thu, 12:00 - 14:00 (A3/SR 119)

Description

Inhalt:

The material will be a selection of the following topics:
Linear programming and some applications

Linear programming and duality
Pivot rules and the diameter of polytopes

Subdivisions and triangulations

Delaunay and Voronoi
Delaunay triangulations and inscribable polytopes
Weighted Voronoi diagrams and optimal transport

Basic structures in convex geometry

convexity and separation theorems
convex bodies and polytopes/polyhedra
polarity
Mahler’s conjecture
approximation by polytopes

Volumes and roundness

Hilbert’s third problem
volumes and mixed volumes
volume computations and estimates
Löwner-John ellipsoids and roundness
valuations

Geometric inequalities

Brunn-Minkowski and Alexandrov-Fenchel inequality
isoperimetric inequalities
measure concentration and phenomena in high-dimensions

Geometry of numbers

lattices
Minkowski's (first) theorem
successive minima
lattice points in convex bodies and Ehrhart's theorem
Ehrhart-Macdonald reciprocity

Sphere packings

lattice packings and coverings
the Theorem of Minkowski-Hlawka
analytic methods

Applications in optimization, number theory, algebra, algebraic geometry, and functional analysis

References

Additional information

Solid background in linear algebra and some analysis. Basic knowledge and experience with polytopes and/or convexity (as from the course "Discrete Geometry I") will be helpful. .

Additional appointments

Klausur

Virtueller Raum 02

Matthias Beck

21.07.2020 12:00 - 14:00

Appointment series

A3/SR 119

Matthias Beck

einmal, ab 14.04.2020, 08:00 - 10:00 (14 Termine)

A3/SR 119

Matthias Beck

einmal, ab 16.04.2020, 12:00 - 14:00 (13 Termine)

Practice seminar for Basic Module: Discrete Geometrie II

LV: 19214902

a.SAP verarbeitet

2 SWS

Matthias Beck

Practice seminar

Submod: 0280aA2.2.2

Akt: 14.04.2020 14:00

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

Module: Aufbaumodul Diskrete Mathematik III (0280bA3.5)

The Probabilistic Method

LV: 19207901

a.SAP verarbeitet

2 SWS

Tibor Szabo

Lecture

Submod: 0280bA3.5.1

Akt: 21.08.2020 14:00

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

References

Main text: N. Alon, J. Spencer: The Probabilistic Method (Fourth edition, Wiley, 2016)

Further reading: B. Bollobas, Random Graphs, (Second Edition, Cambridge University Press, 2001)
S. Janson, T. Luczak and A. Rucinski, Random Graphs, (Wiley, 2000)
M. Molloy and B. Reed, Graph Colouring and the Probabilistic Method, (Springer, 2002)

Additional appointments

Prüfung

A3/Hs 001 Hörsaal

Tibor Szabo

23.07.2020 14:00 - 15:00

Mündliche Prüfung - The Probabilistic Method

A3/Hs 001 Hörsaal

Tibor Szabo

10.08.2020 13:00 - 14:00

Mündliche Prüfungen - The Probabilistic Method

A3/Hs 001 Hörsaal

Tibor Szabo

10.08.2020 14:00 - 17:00

mündliche Prüfung

A3/Hs 001 Hörsaal

Tibor Szabo

25.08.2020 14:00 - 16:00

Appointment series

A6/SR 025/026 Seminarraum

Tibor Szabo

einmal, ab 14.04.2020, 10:00 - 12:00 (14 Termine)

Practice seminar for The Probabilistic Method

LV: 19207902

a.SAP verarbeitet

2 SWS

Tibor Szabo

Practice seminar

Submod: 0280bA3.5.2

Akt: 14.04.2020 14:00

Thu, 10:00 - 12:00 (T9/053 Seminarraum)

Integer Programming

LV: 19243301

a.SAP verarbeitet

2 SWS

Ralf Borndörfer

Lecture

Submod: 0280bA3.5.1

Akt: 12.09.2020 04:00

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

Description

This course teaches the basics of integer programming.

Content

Week 1 (Integer Programming Problems): Introduction, Examples, Definitions

Week 2 (Branch-and-Bound): LP-Relaxation, Tree Search

Week 3 (Relaxations): Lower Bounds, Lagrange Relaxation

Week 4 (Primal Heuristics): Opening and Improvement Heuristics, Approximation, Examples

Week 5 (Integer Points in Rational Polyhedra): Integer Polyhedra, Integer Points in Rational Polyhedra, Complexity

Week 6 (Cutting Plane Theory): Elementary Closure, Rank

Week 7 (Cutting Plane Methods for IPs): Gomory Cuts of Type I

Week 8 (Cutting Plane Method for MIPs): Gomory Cuts of Type II

Week 9 (Polyhedral Combinatorics): Matroid Polytope

Week 10 (Polyhedral Combinatorics): Matching Polytope

Week 11 (Polyhedral Combinatorics): TSP Polytope

Week 12 (General Cutting Plane Method): Equivalence of Separation and Optimization

Week 13 (Cutting Plane Method): Implementation (Tricks)

Week 14: Exam

References

G. Nemhauser, L. Wolsey, Integer and Combinatorial Optimization, Wiley 1988

L. Schrijver, Combinatorial Optimization, Springer 2003

B. Korte, J. Vygen, Combinatorial Optimization, Springer 2018

V. Chvátal, Linear Programming, Freeman 1983

Additional information

This course is a continuation of Optimization I.

Prerequisites: Discrete Math I, Algorithmic Graph Theory, Linear Programming.

Some exercises require basic programming and computing capabilities.

The exam will take place during the last lecture of the Semester.

The second exam will take place in the week before the lectures are resumed at the time of the second lecture of a week.

Additional appointments

Nachklausur Integer Programming

Ralf Borndörfer

26.10.2020 10:00 - 12:00

Appointment series

A6/SR 025/026 Seminarraum

Ralf Borndörfer

einmal, ab 20.04.2020, 10:00 - 12:00 (12 Termine)

Practice seminar for Integer Programming

LV: 19243302

a.SAP verarbeitet

2 SWS

Ralf Borndörfer

Stephan Schwartz

Practice seminar

Submod: 0280bA3.5.2

Akt: 14.04.2020 14:00

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

Module: Introductory Module Visualisation (0280bA4.3)

Basic Module: Visualisation

LV: 19222401

a.SAP verarbeitet

4 SWS

Konrad Polthier

Lecture

Submod: 0280bA4.3.1

Akt: 02.07.2020 18:00

Tue, 10:00 - 12:00 (A3/SR 119)

Thu, 10:00 - 12:00 (A3/SR 119)

Description

The lecture serves as an introduction to fundamental ideas and concepts for scientific visualization with applications to mathematics, computer graphics and natural sciences. Hereby, it will focused on a selection of the following topics:

Basic data structures
Representation of geometries as discrete meshes
Discrete surface theory
Subdivision curves and surfaces
Wavelets
Modelling
Vector field visualization
Visualization software and typical examples

The course is held in English and is also suitable for BMS students.

Additional appointments

Klausur

Virtueller Raum 01

Konrad Polthier

31.07.2020 10:00 - 12:00

Nachklausur

Virtueller Raum 02

Konrad Polthier

09.09.2020 10:00 - 12:00

Appointment series

A3/SR 119

Konrad Polthier

einmal, ab 14.04.2020, 10:00 - 12:00 (14 Termine)

A3/SR 119

Konrad Polthier

einmal, ab 16.04.2020, 10:00 - 12:00 (13 Termine)

Practice seminar for Basic Module: Visualisation

LV: 19222402

a.SAP verarbeitet

2 SWS

Konrad Polthier

Henriette-Sophie Lipschütz

Practice seminar

Submod: 0280bA4.3.2

Akt: 14.04.2020 20:33

Fri, 08:00 - 10:00 (A3/019 Seminarraum)

Module: Aufbaumodul Topologie III (0280bA4.4)

Advanced Module: Topologie III

LV: 19215101

a.SAP verarbeitet

2 SWS

Holger Reich

Lecture

Submod: 0280aA6.3.1

Akt: 14.04.2020 14:00

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

Description

Detailed Information can be found on the Homepage of 19215101 Aufbaumodul: Topologie III.

References

Algebraic topology, Tammo tom Dieck, EMS Textbooks in Mathematics 2008

Additional information

We strongly recommend to also take the course >Homotopy theory<.

Additional appointments

Appointment series

A6/SR 031 Seminarraum

Holger Reich

einmal, ab 14.04.2020, 10:00 - 12:00 (14 Termine)

Practice seminar for Advanced Module: Topologie III

LV: 19215102

a.SAP verarbeitet

2 SWS

Holger Reich

Gabriel James Angelini-Knoll

Practice seminar

Submod: 0280aA6.3.2

Akt: 14.04.2020 14:00

Thu, 14:00 - 16:00 (A3/SR 119)

Module: Research Module Topology (0280bA4.5)

Research Module: Topology

LV: 19223811

a.SAP verarbeitet

2 SWS

Holger Reich

Gabriel James Angelini-Knoll

Seminar

Submod: 0280bA4.5.1

Akt: 14.04.2020 14:00

Tue, 14:00 - 16:00 (A7/SR 140 Seminarraum (Hinterhaus))

Module: Introductory Module Numerical Analysis III (0280bA5.2)

Basic Module: Numerics III

LV: 19215201

a.SAP verarbeitet

4 SWS

Ralf Kornhuber

Lecture

Submod: 0280aA4.2.1

Akt: 14.04.2020 14:00

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

Mon, 10:00 - 12:00 (A3/SR 130 Seminarraum (Hinterhaus))

Description

Content:

References

F. John: Partial Differential Equations. Springer (1982)
M. Renardy, R. C. Rogers: An introduction to partial differential equations, Springer, 2. Auflage (2004)
A. Quarteroni, R. Sacco, F. Saleri: Numerische Mathematik 2. Springer (2002)
D. Braess: Finite Elemente. Springer, 3. Auflage (2002)
P. A. Raviart, J. M. Thomas: Introduction à l'analyse numérique des équations aux dérivées partielles, Dunod (1998)

Additional information

Prerequisites

Prerequisites for this course are basic knowledge in calculus (Analysis I-III) and Numerical Analysis (Numerik I). Some knowledge in Functional Analysis will help a lot.

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Ralf Kornhuber

einmal, ab 20.04.2020, 14:00 - 16:00 (12 Termine)

A3/SR 130 Seminarraum (Hinterhaus)

Ralf Kornhuber

einmal, ab 20.04.2020, 10:00 - 12:00 (12 Termine)

Practice seminar for Basic Module: Numerics III

LV: 19215202

a.SAP verarbeitet

2 SWS

Ralf Kornhuber

Xingjian Zhang-Schneider

Practice seminar

Submod: 0280aA4.2.2

Akt: 14.04.2020 14:00

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

Module: Aufbaumodul Numerik IV (0280bA5.3)

Mathematic Aspects in Machine Learning

LV: 19234501

a.SAP verarbeitet

2 SWS

Péter Koltai

Lecture

Submod: 0280bA5.3.1

Akt: 20.07.2020 16:00

Wed, 10:00 - 12:00 (A3/SR 119)

Description

Content:

In this lecture we will discuss the mathematical foundations of 'machine learning'. There are roughly two classes of methods: 'supervised learning' usually refers to methods that estimate a figure y = f(x) from given input data x1, ...., xn and associated output data y1, ..., yn, which links input and output data. With 'unsupervised learning' the output data is not available. Instead, you can try to find structure in the input data. This structure can be geometrical in nature (is the input data on a diversity?), or topological in nature (which input data is'similar'? Are there interesting subgroups? How are they connected?).

In the lecture we will work out the mathematical basics of different machine learning methods. Our focus will be to understand why (and in what sense) these methods work. We will deepen our understanding by means of many numerical examples. Focal points inlcude: kernel regression, support vector machines, learning of manifolds, spectral clustering, high-dimensional probability.

References

wird nachgetragen.

Additional information

Voraussetzungen: Eine Teilnahme an der Vorlesung 'maschinelles Lernen' vom WS 16/17 ist hilfreich, aber nicht erforderlich.

Additional appointments

Klausur

L 115 Seminarzentrum

Péter Koltai

24.07.2020 08:00 - 10:00

Nachklausur

A6/SR 031 Seminarraum

Péter Koltai

02.09.2020 08:00 - 10:00

Appointment series

A3/SR 119

Péter Koltai

einmal, ab 15.04.2020, 10:00 - 12:00 (14 Termine)

Practice seminar for Mathematic Aspects in Machine Learning

LV: 19234502

a.SAP verarbeitet

2 SWS

Péter Koltai

Practice seminar

Submod: 0280bA5.3.2

Akt: 17.04.2020 22:00

Wed, 16:00 - 18:00 (A6/SR 007/008 Seminarraum)

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

Deep Learning

LV: 19238501

a.SAP verarbeitet

2 SWS

Frank Noe

Lecture

Submod: 0280bA5.3.1

Akt: 20.04.2020 14:00

Fri, 14:00 - 16:00 (T9/Gr. Hörsaal)

Description

Qualification objectives: The students have a basic understanding of algebraic and computational methods for deep neural networks, their application scope and can practically build and train them with state-of-the-art software tools. They are familiar with typical deep learning structures and understand the relationship to their shallow counterparts.

Content:

- Perceptron

- Multilayer neural network and universal represenation theorem

- Backpropagation

- Deep feedforward networks

- Convolutional Neural Networks

- Autoencoder versus principal component analysis

- Time-autoencoder versus time-lagged independent component analysis

- Generative networks: Variational Autoencoders and Adversarial Generative Networks

- Active learning

Additional information

This lecture/lab course is suitable for Master students of Mathematics, Computer Science or Computational Sciences.

Additional appointments

Appointment series

T9/Gr. Hörsaal

Frank Noe

einmal, ab 17.04.2020, 14:00 - 16:00 (11 Termine)

Practice seminar for Deep Learning

LV: 19238502

a.SAP verarbeitet

2 SWS

Frank Noe

Practice seminar

Submod: 0280bA5.3.2

Akt: 20.04.2020 14:00

Fri, 12:00 - 14:00 (A3/ 024 Seminarraum )

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

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

Mon, 12:00 - 14:00 (A3/SR 119)

Additional appointments

Appointment series

A3/ 024 Seminarraum

Frank Noe

einmal, ab 17.04.2020, 12:00 - 14:00 (12 Termine)

A6/SR 007/008 Seminarraum

Frank Noe

einmal, ab 14.04.2020, 14:00 - 16:00 (14 Termine)

A6/SR 007/008 Seminarraum

Frank Noe

einmal, ab 15.04.2020, 10:00 - 12:00 (14 Termine)

A3/SR 119

Frank Noe

einmal, ab 20.04.2020, 12:00 - 14:00 (12 Termine)

Module: Basismodul Differentialgleichungen I (0280bA6.1)

Basic Module: Differential Equations I - Dynamical Systems I

LV: 19215601

a.SAP verarbeitet

4 SWS

Bernold Fiedler

Lecture

Submod: 0084cB3.1.1

Akt: 24.06.2020 14:40

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

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

Description

Dynamical Systems I (4+2) The module transmits fundamental methods and knowledge of the following mathematical subjects:

Existence and uniqueness of solutions of ordinary differential equations.
Flows, differentiablility and first integrals
Linear differential equations.
Lyapunov functions
α- and ω-limit sets
Planar flows and the Poincaré-Bendixson theorem.
Forced oscillations.

References

L.C. Evans, Partial Differential Equations. Gelegentlich: W. Strauss, Partial Differential Equation. Alle Exemplare beider Texte stehen im Handapparat Ecker.

Vorausgesetztes Material zu Analysis II und III siehe z.B. Appendices in diesem Buch (vor allem Appendix C und E (Maß- und Integrationstheorie).

Additional information

Analysis I to III and Lineare Algebra I and II.

¶¶

Additional appointments

Klausur

Virtueller Raum 02

Bernold Fiedler

14.07.2020 10:00 - 12:00

Appointment series

A6/SR 032 Seminarraum

Bernold Fiedler

einmal, ab 16.04.2020, 10:00 - 12:00 (13 Termine)

A6/SR 032 Seminarraum

Bernold Fiedler

einmal, ab 14.04.2020, 10:00 - 12:00 (14 Termine)

Practice seminar for Basic Module: Differential Equations I - Dynamical Systems I

LV: 19215602

a.SAP verarbeitet

2 SWS

Isabelle Schneider

Alejandro Lopez Nieto

Practice seminar

Submod: 0084cB3.1.2

Akt: 22.04.2020 16:00

Mon, 10:00 - 12:00 (A3/SR 210 Seminarraum)

Wed, 16:00 - 18:00 (A3/SR 210 Seminarraum)

Description

Am 23. April findet keine Übung statt.

Additional appointments

Appointment series

A3/SR 210 Seminarraum

Isabelle Schneider

Alejandro Lopez Nieto

einmal, ab 20.04.2020, 10:00 - 12:00 (12 Termine)

A3/SR 210 Seminarraum

Isabelle Schneider

Alejandro Lopez Nieto

einmal, ab 15.04.2020, 16:00 - 18:00 (14 Termine)

Module: Aufbaumodul Differentialgleichungen III (0280bA6.3)

Partial Differential Equations III

LV: 19243001

a.SAP verarbeitet

2 SWS

Ahmad Al-Afuni

Lecture

Submod: 0280bA6.3.1

Akt: 14.04.2020 14:00

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

Description

Selected topics from the following:

Nonlinear equations and systems with applications to problems in geometry, calculus of variations and physics, in particular
- Minimal surfaces
- Harmonic maps
- Other variational problems; also variational inequalities
- Geometric evolution equations
- Nonlinear wave equations
- Geometric measure theory

References

Wird in der Vorlesung bekannt gegeben / to be announced.

Additional information

Voraussetzungen: Partielle Differentialgleichungen I und II

Additional appointments

Appointment series

A3/ 024 Seminarraum

Ahmad Al-Afuni

einmal, ab 15.04.2020, 10:00 - 12:00 (14 Termine)

Practice seminar for Partial Differential Equations III

LV: 19243002

a.SAP verarbeitet

2 SWS

Ahmad Al-Afuni

Practice seminar

Submod: 0280bA6.3.2

Akt: 14.04.2020 14:00

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

Module: Forschungsmodul Angewandte Analysis und Differentialgleichungen (0280bA6.4)

(Hi)stories of Dynamics

LV: 19239811

a.SAP verarbeitet

2 SWS

Bernold Fiedler

Isabelle Schneider

Alejandro Lopez Nieto

Seminar

Submod: 0084cB1.1.1

Akt: 14.04.2020 14:00

Wed, 10:00 - 12:00 (A3/SR 130 Seminarraum (Hinterhaus))

Description

Additional appointments

Appointment series

A3/SR 130 Seminarraum (Hinterhaus)

Bernold Fiedler

Isabelle Schneider

Alejandro Lopez Nieto

einmal, ab 15.04.2020, 10:00 - 12:00 (14 Termine)

Module: Ergänzungsmodul Ausgewählte Themen (0280bA7.1)

Basic Module: Visualisation

LV: 19222401

a.SAP verarbeitet

4 SWS

Konrad Polthier

Lecture

Submod: 0280bA4.3.1

Akt: 02.07.2020 18:00

Tue, 10:00 - 12:00 (A3/SR 119)

Thu, 10:00 - 12:00 (A3/SR 119)

Description

Basic data structures
Representation of geometries as discrete meshes
Discrete surface theory
Subdivision curves and surfaces
Wavelets
Modelling
Vector field visualization
Visualization software and typical examples

The course is held in English and is also suitable for BMS students.

Additional appointments

Klausur

Virtueller Raum 01

Konrad Polthier

31.07.2020 10:00 - 12:00

Nachklausur

Virtueller Raum 02

Konrad Polthier

09.09.2020 10:00 - 12:00

Appointment series

A3/SR 119

Konrad Polthier

einmal, ab 14.04.2020, 10:00 - 12:00 (14 Termine)

A3/SR 119

Konrad Polthier

einmal, ab 16.04.2020, 10:00 - 12:00 (13 Termine)

Practice seminar for Basic Module: Visualisation

LV: 19222402

a.SAP verarbeitet

2 SWS

Konrad Polthier

Henriette-Sophie Lipschütz

Practice seminar

Submod: 0280bA4.3.2

Akt: 14.04.2020 20:33

Fri, 08:00 - 10:00 (A3/019 Seminarraum)

Module: Ergänzungsmodul Ausgewählte Forschungsthemen (0280bA7.2)

Traffic Optimization: Public Transportation Networks

LV: 19211201

a.SAP verarbeitet

2 SWS

Niels Lindner

Lecture

Submod: 0280bA7.2.1

Akt: 20.04.2020 14:00

Thu, 12:00 - 14:00 (A6/SR 009 Seminarraum)

Description

Mathematical methods play a key role in numerous problems in traffic optimization. For planning and operating public transportation networks, often discrete optimization techniques are employed.

The lecture deals with the mathematical modeling and algorithmic investigation of the following applications:
* Shortest routes in public transportation networks
* Network and infrastructure planning
* Line planning
* Timetabling
* Railway track allocation

This includes the following mathematical problems and techniques:
* Shortest paths in graphs, time-dependent and resource-constrained
* Multi-commodity network flows
* Cycle bases in graphs
* Mixed integer linear programming, cutting planes and column generation
* Steiner trees
* Facility Location
* Periodic Event Scheduling

Prerequisites: Basics of graph theory, e.g., Discrete Mathematics I. A background in optimization (e.g., Optimization I) is desirable, but not obligatory.

Literature: will be announced in the lecture

As a complement, you may optionally visit the lecture Optimierung II or the seminar on Optimization in Public Transport.

Additional appointments

Appointment series

A6/SR 009 Seminarraum

Niels Lindner

einmal, ab 16.04.2020, 12:00 - 14:00 (13 Termine)

Tutorial for Traffic Optimization

LV: 19211202

a.SAP verarbeitet

2 SWS

Niels Lindner

Practice seminar

Submod: 0280bA7.2.2

Akt: 20.04.2020 14:00

Wed, 12:00 - 14:00 (A3/SR 130 Seminarraum (Hinterhaus))

Nonlinear Optimization

LV: 19233901

a.SAP verarbeitet

2 SWS

Martin Weiser

Lecture

Submod: 0280bA7.2.1

Akt: 21.04.2020 16:00

Thu, 12:00 - 14:00 (A3/SR 210 Seminarraum)

Description

This course covers nonlinear programming, i.e. the numerical minimization of functions with or without equality and inequality constraints. Topics: necessary and sufficient optimality conditions, gradient descent and Newton's method, globalization with line search and trust regions, augmented Lagrangian and barrier methods, optimization with ordinary differential equations (optimal control), convergence and error estimates.

References

Nocedal/Wright: Numerical Optimization

Jarre/Stoer: Optimierung

Geiger/Kanzow: Theorie und Numerik restringierter Optimierungsaufgaben

Additional information

Zielgruppe: Studierende im Masterstudiengang Mathematik, BMS

Voraussetzungen: Numerik I

Additional appointments

Appointment series

A3/SR 210 Seminarraum

Martin Weiser

einmal, ab 16.04.2020, 12:00 - 14:00 (13 Termine)

Practice seminar for Nonlinear Optimization

LV: 19233902

a.SAP verarbeitet

2 SWS

Martin Weiser

Practice seminar

Submod: 0280bA7.2.2

Akt: 21.04.2020 16:00

Fri, 14:00 - 16:00 (A3/SR 130 Seminarraum (Hinterhaus))

Deep Learning

LV: 19238501

a.SAP verarbeitet

2 SWS

Frank Noe

Lecture

Submod: 0280bA5.3.1

Akt: 20.04.2020 14:00

Fri, 14:00 - 16:00 (T9/Gr. Hörsaal)

Description

Content:

- Perceptron

- Multilayer neural network and universal represenation theorem

- Backpropagation

- Deep feedforward networks

- Convolutional Neural Networks

- Autoencoder versus principal component analysis

- Time-autoencoder versus time-lagged independent component analysis

- Generative networks: Variational Autoencoders and Adversarial Generative Networks

- Active learning

Additional information

This lecture/lab course is suitable for Master students of Mathematics, Computer Science or Computational Sciences.

Additional appointments

Appointment series

T9/Gr. Hörsaal

Frank Noe

einmal, ab 17.04.2020, 14:00 - 16:00 (11 Termine)

Practice seminar for Deep Learning

LV: 19238502

a.SAP verarbeitet

2 SWS

Frank Noe

Practice seminar

Submod: 0280bA5.3.2

Akt: 20.04.2020 14:00

Fri, 12:00 - 14:00 (A3/ 024 Seminarraum )

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

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

Mon, 12:00 - 14:00 (A3/SR 119)

Additional appointments

Appointment series

A3/ 024 Seminarraum

Frank Noe

einmal, ab 17.04.2020, 12:00 - 14:00 (12 Termine)

A6/SR 007/008 Seminarraum

Frank Noe

einmal, ab 14.04.2020, 14:00 - 16:00 (14 Termine)

A6/SR 007/008 Seminarraum

Frank Noe

einmal, ab 15.04.2020, 10:00 - 12:00 (14 Termine)

A3/SR 119

Frank Noe

einmal, ab 20.04.2020, 12:00 - 14:00 (12 Termine)

Practice seminar for Functional Analysis Applied to Modeling of Molecular Systems

LV: 19240702

a.SAP verarbeitet

2 SWS

Luigi Delle Site

Practice seminar

Submod: 0280bA7.2.2

Akt: 14.04.2020 14:00

Mon, 10:00 - 12:00 (T9/049 Seminarraum)

Stochastic Partial Differential Equations: Classical and New

LV: 19242101

a.SAP verarbeitet

2 SWS

Nicolas Perkowski

Lecture

Submod: 0280bA7.2.1

Akt: 14.04.2020 14:00

Wed, 08:00 - 10:00 (A3/SR 210 Seminarraum)

Description

Content: We will learn two different methods for solving stochastic partial differential equations. The classical method is based on Ito calculus, and we will use it to solve semilinear SPDEs with space-time white noise in one space dimension. But we will see that in higher dimensions this theory only works for linear equations, and motivated by that we will introduce "paracontrolled distributions“, which we developed in the last years based on ideas from harmonic analysis and rough paths, and which allow us to solve some interesting semilinear equations in higher dimensions. Along the way we will learn about regularity theory for semilinear PDEs, Gaussian Hilbert spaces, and much more.

Ito calculus for Gaussian random measures;
semilinear stochastic PDEs in one dimension;
Schauder estimates;
Gaussian hypercontractivity;
paraproducts and paracontrolled distributions;
local existence and uniqueness for semilinear SPDEs in higher dimensions;
properties of solutions

Detailed Information can be found on the Homepage of 19242101 Aufbaumodul: Stochastics IV (SPDEs: Classical and New).

References

There will be lecture notes.

Additional information

Prerequisite: Stochastics I, II.
Recommended: Stochastics III and Functional Analysis.

Additional appointments

Appointment series

A3/SR 210 Seminarraum

Nicolas Perkowski

einmal, ab 15.04.2020, 08:00 - 10:00 (14 Termine)

Exercise: Stochastic Partial Differential Equations: Classical and New

LV: 19242102

a.SAP verarbeitet

2 SWS

Nicolas Perkowski

Practice seminar

Submod: 0280bA7.2.2

Akt: 14.04.2020 14:00

Wed, 10:00 - 12:00 (A3/SR 210 Seminarraum)

Module: Ergänzungsmodul Spezielle Aspekte (0280bA7.3)

The Probabilistic Method

LV: 19207901

a.SAP verarbeitet

2 SWS

Tibor Szabo

Lecture

Submod: 0280bA3.5.1

Akt: 21.08.2020 14:00

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

References

Main text: N. Alon, J. Spencer: The Probabilistic Method (Fourth edition, Wiley, 2016)

Additional appointments

Prüfung

A3/Hs 001 Hörsaal

Tibor Szabo

23.07.2020 14:00 - 15:00

Mündliche Prüfung - The Probabilistic Method

A3/Hs 001 Hörsaal

Tibor Szabo

10.08.2020 13:00 - 14:00

Mündliche Prüfungen - The Probabilistic Method

A3/Hs 001 Hörsaal

Tibor Szabo

10.08.2020 14:00 - 17:00

mündliche Prüfung

A3/Hs 001 Hörsaal

Tibor Szabo

25.08.2020 14:00 - 16:00

Appointment series

A6/SR 025/026 Seminarraum

Tibor Szabo

einmal, ab 14.04.2020, 10:00 - 12:00 (14 Termine)

Practice seminar for The Probabilistic Method

LV: 19207902

a.SAP verarbeitet

2 SWS

Tibor Szabo

Practice seminar

Submod: 0280bA3.5.2

Akt: 14.04.2020 14:00

Thu, 10:00 - 12:00 (T9/053 Seminarraum)

Advanced Module: Topologie III

LV: 19215101

a.SAP verarbeitet

2 SWS

Holger Reich

Lecture

Submod: 0280aA6.3.1

Akt: 14.04.2020 14:00

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

Description

Detailed Information can be found on the Homepage of 19215101 Aufbaumodul: Topologie III.

References

Algebraic topology, Tammo tom Dieck, EMS Textbooks in Mathematics 2008

Additional information

We strongly recommend to also take the course >Homotopy theory<.

Additional appointments

Appointment series

A6/SR 031 Seminarraum

Holger Reich

einmal, ab 14.04.2020, 10:00 - 12:00 (14 Termine)

Practice seminar for Advanced Module: Topologie III

LV: 19215102

a.SAP verarbeitet

2 SWS

Holger Reich

Gabriel James Angelini-Knoll

Practice seminar

Submod: 0280aA6.3.2

Akt: 14.04.2020 14:00

Thu, 14:00 - 16:00 (A3/SR 119)

Mathematical Modelling in Climate Research

LV: 19215301

a.SAP verarbeitet

2 SWS

Nikki Vercauteren

Lecture

Submod: 0280bA7.3.1

Akt: 14.04.2020 14:00

Thu, 10:00 - 12:00 (A7/SR 140 Seminarraum (Hinterhaus))

Description

Content:

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

Fluctuations in daily weather are tightly connected to turbulence, and turbulence represents a challenge for the predictability of weather. No general solution for the equations of fluid motion is known, and consequently no general solutions to problems in turbulent flows are available. Instead, scientists rely on conceptual models and statistical descriptions to understand the essence of daily weather and how that feeds back on climate behavior.

This course/seminar focuses on techniques of mathematical modeling that assist scientists in exploring the listed issues systematically.

The course will cover a selection from the following topics

1. Conservation laws and governing equations,

2. Numerical methods for geophysical flow simulations,

3. Dynamical systems and bifurcation theory,

4. Data-based characterization of atmospheric flows

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

A7/SR 140 Seminarraum (Hinterhaus)

Nikki Vercauteren

einmal, ab 16.04.2020, 10:00 - 12:00 (13 Termine)

Practice seminar for Mathematical Modelling in Climate Research

LV: 19215302

a.SAP verarbeitet

2 SWS

Gottfried Hastermann

Nikki Vercauteren

Practice seminar

Submod: 0280bA7.3.2

Akt: 14.04.2020 14:00

Tue, 12:00 - 14:00 (A7/SR 140 Seminarraum (Hinterhaus))

Homological Algebra

LV: 19216501

a.SAP verarbeitet

2 SWS

Herbert Kupisch

Lecture

Submod: 0280bA7.3.1

Akt: 14.04.2020 14:00

Wed, 08:00 - 10:00 (A7/SR 140 Seminarraum (Hinterhaus))

Description

Content: Homological algebra goes back to constructions of algebraic topology to describe topological properties of geometric objects. In the middle of the last century it was recognized that the underlying mechanism can be used with great success in the treatment of problems in various algebraic systems. The publication of Cartan-Eilenberg's monograph "Homological Algebra" in 1955 marked the culmination of this development, since then homological algebra has become an independent theory with its own dynamics and diverse applications.
Expected program: modules; categories and functions; complexes and derived functions; cohomology of groups.

References

Literatur wird in der Vorlesung bekanntgegeben.
Literature will be announced in the lecture.

Additional information

REMARK: The lecture and exercise session will be held as soon as it is allowed to use classrooms again.

Additional appointments

Appointment series

A7/SR 140 Seminarraum (Hinterhaus)

Herbert Kupisch

einmal, ab 15.04.2020, 08:00 - 10:00 (14 Termine)

Exercise: Homological Algebra

LV: 19216502

a.SAP verarbeitet

2 SWS

Herbert Kupisch

Practice seminar

Submod: 0280bA7.3.2

Akt: 14.04.2020 14:00

Mon, 08:00 - 10:00 (A3/SR 210 Seminarraum)

Stochastic processes in fluids

LV: 19229601

a.SAP verarbeitet

2 SWS

Felix Höfling

Lecture

Submod: 0280bA7.3.1

Akt: 14.04.2020 14:00

Fri, 12:00 - 14:00 (A6/SR 007/008 Seminarraum)

Description

The liquid state comprises a large class of materials ranging from simple fluids (argon, methane) and molecular fluids (water) to soft matter systems such as polymer solutions (ketchup), colloidal suspensions (wall paint), and heterogeneous media (cell cytoplasm). The basic transport mode in liquids is that of diffusion due to thermal fluctuations, but already the simplest liquids exhibit a non-trivial dynamic response well beyond standard Brownian motion. From the early days of the field, computer simulations have played a central role in identifying complex dynamics and testing the approximations of their theoretical descriptions. On the other hand, theory imposes constraints on the analysis of experimental or simulation data.

The course is at the interface of stochastic dynamical systems and statistical mechanics. Noting that fluids constitute high-dimensional stochastic processes in space in time, I will give an introduction to the principles of liquid state theory, and we will derive the mathematical structure of the relevant correlation functions. The second part makes contact to recent research and gives an overview on selected topics. The exercises are split into a theoretical part, discussed in biweekly lessons, and a practical part in form of a small simulation project conducted during a block session (2 days) after the lecture phase.

Keywords:

Brownian motion, diffusion, and stochastic processes in fluids
harmonic analysis of correlation functions
Zwanzig-Mori projection operator formalism
mode-coupling approximations, long-time tails
critical dynamics and transport anomalies

References

Hansen and McDonald: Theory of simple liquids (Academic Press, 2006).
Höfling and Franosch, Anomalous transport in the crowded world of biological cells, Rep. Prog. Phys. 76, 046602 (2013).

Further literature will be given during the course.

Additional information

Target audience: M.Sc. Mathematik/Physik/Computational Sciences

Requirements: either Stochastics III (Stochastic differential equations) or Advanced Statistical Physics

Informationen zu dieser Online-Veranstaltung finden Sie im zugehörigen Kurs [auf/in] Blackboard:

https://lms.fu-berlin.de/webapps/blackboard/execute/announcement?method=search&course_id=_143357_1

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Felix Höfling

einmal, ab 17.04.2020, 12:00 - 14:00 (12 Termine)

Stochastic processes in fluids

LV: 19229602

a.SAP verarbeitet

2 SWS

Felix Höfling

Practice seminar

Submod: 0280bA7.3.2

Akt: 14.04.2020 14:00

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

Mathematic Aspects in Machine Learning

LV: 19234501

a.SAP verarbeitet

2 SWS

Péter Koltai

Lecture

Submod: 0280bA5.3.1

Akt: 20.07.2020 16:00

Wed, 10:00 - 12:00 (A3/SR 119)

Description

Content:

References

wird nachgetragen.

Additional information

Voraussetzungen: Eine Teilnahme an der Vorlesung 'maschinelles Lernen' vom WS 16/17 ist hilfreich, aber nicht erforderlich.

Additional appointments

Klausur

L 115 Seminarzentrum

Péter Koltai

24.07.2020 08:00 - 10:00

Nachklausur

A6/SR 031 Seminarraum

Péter Koltai

02.09.2020 08:00 - 10:00

Appointment series

A3/SR 119

Péter Koltai

einmal, ab 15.04.2020, 10:00 - 12:00 (14 Termine)

Practice seminar for Mathematic Aspects in Machine Learning

LV: 19234502

a.SAP verarbeitet

2 SWS

Péter Koltai

Practice seminar

Submod: 0280bA5.3.2

Akt: 17.04.2020 22:00

Wed, 16:00 - 18:00 (A6/SR 007/008 Seminarraum)

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

Functional Analysis Applied to Modeling of Molecular Systems

LV: 19240701

a.SAP verarbeitet

2 SWS

Luigi Delle Site

Lecture

Submod: 0280bA7.3.1

Akt: 14.04.2020 14:00

Mon, 08:00 - 10:00 (A6/SR 009 Seminarraum)

Integer Programming

LV: 19243301

a.SAP verarbeitet

2 SWS

Ralf Borndörfer

Lecture

Submod: 0280bA3.5.1

Akt: 12.09.2020 04:00

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

Description

This course teaches the basics of integer programming.

Content

Week 1 (Integer Programming Problems): Introduction, Examples, Definitions

Week 2 (Branch-and-Bound): LP-Relaxation, Tree Search

Week 3 (Relaxations): Lower Bounds, Lagrange Relaxation

Week 4 (Primal Heuristics): Opening and Improvement Heuristics, Approximation, Examples

Week 5 (Integer Points in Rational Polyhedra): Integer Polyhedra, Integer Points in Rational Polyhedra, Complexity

Week 6 (Cutting Plane Theory): Elementary Closure, Rank

Week 7 (Cutting Plane Methods for IPs): Gomory Cuts of Type I

Week 8 (Cutting Plane Method for MIPs): Gomory Cuts of Type II

Week 9 (Polyhedral Combinatorics): Matroid Polytope

Week 10 (Polyhedral Combinatorics): Matching Polytope

Week 11 (Polyhedral Combinatorics): TSP Polytope

Week 12 (General Cutting Plane Method): Equivalence of Separation and Optimization

Week 13 (Cutting Plane Method): Implementation (Tricks)

Week 14: Exam

References

G. Nemhauser, L. Wolsey, Integer and Combinatorial Optimization, Wiley 1988

L. Schrijver, Combinatorial Optimization, Springer 2003

B. Korte, J. Vygen, Combinatorial Optimization, Springer 2018

V. Chvátal, Linear Programming, Freeman 1983

Additional information

This course is a continuation of Optimization I.

Prerequisites: Discrete Math I, Algorithmic Graph Theory, Linear Programming.

Some exercises require basic programming and computing capabilities.

The exam will take place during the last lecture of the Semester.

The second exam will take place in the week before the lectures are resumed at the time of the second lecture of a week.

Additional appointments

Nachklausur Integer Programming

Ralf Borndörfer

26.10.2020 10:00 - 12:00

Appointment series

A6/SR 025/026 Seminarraum

Ralf Borndörfer

einmal, ab 20.04.2020, 10:00 - 12:00 (12 Termine)

Practice seminar for Integer Programming

LV: 19243302

a.SAP verarbeitet

2 SWS

Ralf Borndörfer

Stephan Schwartz

Practice seminar

Submod: 0280bA3.5.2

Akt: 14.04.2020 14:00

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

Numerical methods for geometric PDEs

LV: 19243401

a.SAP verarbeitet

2 SWS

Carsten Gräser

Lecture

Submod: 0280bA7.3.1

Akt: 14.04.2020 14:00

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

Description

Content:
Geometric partial differential equations are describing the evolution ofand processes on surfaces. Geometric flows such as the now classical mean curvature flow, Willmore flow, and pdes on moving surfaces are typical examples. In this lecture, we will consider various formulations including phase field models of Allen-Cahn and Cahn-Hilliard type and concentrate on basic numerical techniques such as surface finite element methods, adaptivity,unfitted finite element methods, and efficient numerical solvers. Zielgruppe Advanced students in the Master Program Mathematics.Various possible topics for a Master thesis will come up during this course. Voraussetzungen Basic knowledge on partial differential equations and their numericalsolution (e.g. Numerik III).

Target audience:
This lecture is a continuation of the preceding course on "Numerical methods for partial differential equations (Numerik III)". It is intended to broaden the way towards a master thesis in the field of computational PDEs.

Prerequisites:
Participants should have some knowledge about PDEs and their numerical approximation by finite elements as provided, e.g., by the preceing course on "Numerical methods for partial differential equations (Numerik III)".

Additional appointments

Appointment series

A6/SR 025/026 Seminarraum

Carsten Gräser

einmal, ab 16.04.2020, 10:00 - 12:00 (13 Termine)

Practice seminar for Numerical methods for geometric PDEs

LV: 19243402

a.SAP verarbeitet

2 SWS

No lecturers

Practice seminar

Submod: 0280bA7.3.2

Akt: 14.04.2020 14:00

Thu, 12:00 - 14:00 (A6/SR 007/008 Seminarraum)

Module: Ergänzungsmodul Spezielle Forschungsaspekte (0280bA7.4)

Theory of function spaces and applications

LV: 19219801

a.SAP verarbeitet

2 SWS

Nicolas Perkowski

Lecture

Submod: 0280bA7.4.1

Akt: 14.04.2020 14:00

Tue, 10:00 - 12:00 (A3/SR 130 Seminarraum (Hinterhaus))

Description

Content: In this course we consider function spaces and more general spaces of distributions, which are generalized functions. The main key in the course is the theory of Harmonic Analysis, which is used to define Besov spaces. Moreover, we treat Bony's para- and resonance products, which allow us to multiply distributions in some cases.

Detailed Information can be found on the Homepage of 19219801 Theory of function spaces and applications.

References

Literature will be given in the lecture.
Literatur wird in der Vorlesung angegeben.

Additional appointments

Appointment series

A3/SR 130 Seminarraum (Hinterhaus)

Nicolas Perkowski

einmal, ab 14.04.2020, 10:00 - 12:00 (14 Termine)

Homotopy Theory

LV: 19234201

a.SAP verarbeitet

2 SWS

Holger Reich

Lecture

Submod: 0280bA7.4.1

Akt: 14.04.2020 14:00

Thu, 10:00 - 12:00 (KöLu24-26/SR 006 Neuro/Mathe)

Description

The course will cover advanced topics from homotopy theory.

Detailed Information can be found on the Homepage of 19234201 Homotopy Theory.

References

Algebraic topology, Tammo tom Dieck, EMS Textbooks in Mathematics 2008

Additional information

The course complements and continues topics from Topology III.

Additional appointments

Appointment series

KöLu24-26/SR 006 Neuro/Mathe

Holger Reich

einmal, ab 16.04.2020, 10:00 - 12:00 (13 Termine)

Mathematical Analysis of Geophysical Models and a Data Assimilation

LV: 19243701

a.SAP verarbeitet

2 SWS

Rupert Klein

Titi Edriss

Lecture

Submod: 0280bA7.4.1

Akt: 14.04.2020 14:00

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

Description

In this course I will be covering three main topics. The first part will be concerning the Navier-Stokes and Euler equations - a quick survey. The second part will discuss the question of global regularity of certain geophysical flows. The third part about a data assimilation algorithm for weather and climate prediction.
The basic problem faced in geophysical fluid dynamics is that a mathematical description based only on fundamental physical principles, which are called the "Primitive Equations", is often prohibitively expensive computationally, and hard to study analytically. In these introductory lectures, aimed toward graduate students and postdocs, I will survey the mathematical theory of the 2D and 3D Navier-Stokes and Euler equations, and stress the main obstacles in proving the global regularity for the 3D case, and the computational challenge in their direct numerical simulations. In addition, I will emphasize the issues facing the turbulence community in their turbulence closure models.
However, taking advantage of certain geophysical balances and situations, such as geostrophic balance and the shallowness of the ocean and atmosphere, I will show how geophysicists derive more simplified models which are easier to study analytically. In particular, I will prove the global regularity for 3D planetary geophysical models and the Primitive equations of large scale oceanic and atmospheric dynamics with various kinds of anisotropic viscosity and di usion. Moreover, I will also show that for certain class of initial data the solutions of the inviscid 2D and 3D Primitive Equations blowup (develop a singularity) in nite time. Furthermore, I will present some recent results concerning the regularity of certain tropical atmospheric models, and the Primitive equations, coupled to microphysics equations of moisture and clouds formation. Finally, I will also discuss some new algorithms for feedback control and data assimilation for the Navier-Stokes equations and other atmospheric and climate models.

References

Additional information

The main lectures will be held in the two weeks: June 26-July 10; accompanying sessions will be organized around it.

Additional appointments

Appointment series

A6/SR 032 Seminarraum

Rupert Klein

Titi Edriss

einmal, ab 29.06.2020, 16:00 - 18:00 (6 Termine)

Module: Ergänzungsmodul Forschungsseminar (0280bA7.5)

Forschungsmodul: Algebra

LV: 19214611

a.SAP verarbeitet

2 SWS

Klaus Altmann

Seminar

Submod: 0280bA2.4.1

Akt: 14.04.2020 14:00

Mon, 14:00 - 16:00 (A3/SR 119)

Description

Inhalt:

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

A3/SR 119

Klaus Altmann

einmal, ab 20.04.2020, 14:00 - 16:00 (12 Termine)

Research Module: Topology

LV: 19223811

a.SAP verarbeitet

2 SWS

Holger Reich

Gabriel James Angelini-Knoll

Seminar

Submod: 0280bA4.5.1

Akt: 14.04.2020 14:00

Tue, 14:00 - 16:00 (A7/SR 140 Seminarraum (Hinterhaus))

Seminar Multiscale Methods in Molecular Simulations

LV: 19226511

a.SAP verarbeitet

2 SWS

Luigi Delle Site

Seminar

Submod: 0280bA7.5.1

Akt: 14.04.2020 14:00

Wed, 12:00 - 14:00 (A3/SR 210 Seminarraum)

Description

Content: The seminar will concern the discussion of state-of-art techniques in molecular simulation which allow for a simulation of several space (especially) and time scale within one computational approach.

The discussion will concerns both, specific computational coding and conceptual developments.

References

Related Basic Literature:

(1) M.Praprotnik, L.Delle Site and K.Kremer, Ann.Rev.Phys.Chem.59, 545-571 (2008)

(2) C.Peter, L.Delle Site and K.Kremer, Soft Matter 4, 859-869 (2008).

(3) M.Praprotnik and L.Delle Site, in "Biomolecular Simulations: Methods and Protocols" L.Monticelli and E.Salonen Eds. Vol.924, 567-583 (2012) Methods Mol. Biol. Springer-Science

Additional information

Audience: At least 6th semester with a background in statistical and quantum mechanics, Master students and PhD students (even postdocs) are welcome.

Additional appointments

Appointment series

A3/SR 210 Seminarraum

Luigi Delle Site

einmal, ab 15.04.2020, 12:00 - 14:00 (14 Termine)

Seminar Quantum Computational Methods

LV: 19226611

a.SAP verarbeitet

2 SWS

Luigi Delle Site

Seminar

Submod: 0280bA7.5.1

Akt: 18.04.2020 18:00

Tue, 12:00 - 14:00 (A3/SR 210 Seminarraum)

Description

The seminar will focus on the literature related to the most popular molecular simulation methods for quantum mechanical systems.
In particular we will read and discuss the paper at the foundation of Path Integral Molecular Dynamics, Quantum Monte Carlo techniques and Density Functional Theory.
Moreover the reading and the discussion will be complemented by paper about the latest developments and applications of the methods.

References

Related Basic Literature:
(1) David M.Ceperley, Reviews of Modern Physics 67 279 (1995)
(2) Miguel A. Morales, Raymond Clay, Carlo Pierleoni, and David M. Ceperley, Entropy 2014, 16(1), 287-321
(3) P. Hohenberg and W. Kohn, Phys. Rev. 136 (1964) B864-B871

Additional information

At least 6th semester with a background in statistical and quantum mechanics, Master students and PhD students (even postdocs) are welcome.

Additional appointments

Appointment series

A3/SR 210 Seminarraum

Luigi Delle Site

einmal, ab 14.04.2020, 12:00 - 14:00 (14 Termine)

Optimization in Public Transportation

LV: 19238911

a.SAP verarbeitet

2 SWS

Ralf Borndörfer

Niels Lindner

Seminar

Submod: 0280bA7.5.1

Akt: 14.04.2020 14:00

Thu, 16:00 - 18:00 (A3/019 Seminarraum)

Description

The design and operation of public transport services is a complex topic – both from a planning perspective as well as from a mathematical and computer science point of view. For this reason, traffic planning is supported by optimization tools in order to improve the service, to reduce costs, and/or to improve working conditions. Application areas range from the design of the network infrastructure to the dispatching of specific resources design in every day operation and passenger information. Due to the steady increase of the mobility demand, such systems become more and more important. This seminar discusses current trends in traffic optimization.

Additional information

This seminar will be implemented as a block seminar.

Location and schedule:

first meeting (introduction and paper assignment): probably April 15, 11:00-12:00, ZIB (Takustr. 7), Seminar room 2006 (ground floor)
second meeting (short talks): TBA in the middle of the term, probably at ZIB, one hour
final meeting (seminar talks): TBA on one or two days at the end of the semester, probably at IVU Traffic Technologies AG, Bundesallee 88, 12161 Berlin

Students should have some background in mathematical optimization including basic graph theory and basic linear programming.

In the middle of the term, you are supposed to give a short, introductory talk (at most 5 minutes) on your topic.

The talk must include a literature search, we must encompass at least a forward and a backward analysis.

To obtain the credit points, you are also required to hand in a short summary of your talk (use LaTeX, 5-8 pages). The summary should be sent by e-mail to your advisor. The summary will be graded and then handed back to you. We hope that this feedback will enable you to give a better presentation.

The seminar itself will take place on one or two days in the last weeks of the semester. Talks should be prepared for 45 minutes, so that a duration of 60 minutes including questions is not exceeded. Participation in the *entire* seminar (not only on the day of your own talk) and timely submission of a summary is a requirement for passing.

Your final grade will be composed of 60% and 40% from the evaluation of your talk and paper, respectively.

Additional appointments

Appointment series

A3/019 Seminarraum

Ralf Borndörfer

Niels Lindner

einmal, ab 16.07.2020, 16:00 - 18:00 (2 Termine)

Machine Learning in Meteorology

LV: 19242611

a.SAP verarbeitet

2 SWS

Annette Rudolph

Nikki Vercauteren

Seminar

Submod: 0280bA7.5.1

Akt: 14.04.2020 14:00

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

Description

In the research seminar "Machine Learning in Meteorology" we want to discuss the applicability of "Machine Learning" to different meteorological data sets. The challenge in this application area is to integrate the statistics of the large meteorological data sets into the existing atmospheric models without violating the physical laws. First applications such as climate modelling, tracing of aerosols, CO2 flux prediction, nowcast weather prediction, and parameterization will be discussed in the context of this research seminar. Related topics from the geosciences can also be discussed. Own work as well as current literature can be discussed.

Additional appointments

Appointment series

A3/ 024 Seminarraum

Annette Rudolph

Nikki Vercauteren

einmal, ab 16.04.2020, 14:00 - 16:00 (13 Termine)

Module: Ergänzungsmodul Forschungsprojekt (0280bA7.6)

ErgänzM Forschungsprojekt: Advanced Differential Equations

LV: 19217212

a.SAP verarbeitet

4 SWS

Bernold Fiedler

Isabelle Schneider

Alejandro Lopez Nieto

Project Seminar

Submod: 0280bA7.6.1

Akt: 14.04.2020 14:00

Thu, 14:00 - 18:00 (A3/SR 130 Seminarraum (Hinterhaus))

Module: Ergänzungsmodul Stochastik II (0280bA7.7)

Stochastics II

LV: 19212901

a.SAP verarbeitet

4 SWS

Nicolas Perkowski

Lecture

Submod: 0084aC7.2.1

Akt: 13.10.2020 10:04

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

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

Description

Contents:

Construction of stochastic processes;
conditional expectation;
martingales in discrete time: convergence, stopping theorems, inequalities;
convergence types in stochastics;
uniform integrability;
Markov chains in discrete and continuous time: recurrence and transience, invariant measures;
convergence in distribution of stochatic processes;
Brownian motion and invariance principle.

Detailed Information can be found on the Homepage of 19212901 Basismodul: Stochastics II.

References

Klenke: Wahrscheinlichkeitstheorie
Durrett: Probability. Theory and Examples.

Weitere Literatur wird im Lauf der Vorlesung bekannt gegeben.
Further literature will be given during the lecture.

Additional information

Prerequisite: Stochastics I and Analysis I — III

Additional appointments

Klausur

Virtueller Raum 03

Nicolas Perkowski

29.07.2020 14:00 - 16:00

Nachklausur

Virtueller Raum 01

Nicolas Perkowski

19.10.2020 10:00 - 12:00

Appointment series

A6/SR 032 Seminarraum

Nicolas Perkowski

einmal, ab 16.04.2020, 08:00 - 10:00 (13 Termine)

A6/SR 032 Seminarraum

Nicolas Perkowski

einmal, ab 14.04.2020, 12:00 - 14:00 (14 Termine)

Practice seminar for Stochastics II

LV: 19212902

a.SAP verarbeitet

2 SWS

Nicolas Perkowski

Practice seminar

Submod: 0084aC7.2.2

Akt: 29.04.2020 00:00

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

Description

Inhalt

This course is the sequel of the course of Stochastics I. The main objective is to go beyond the first principles in probability theory by introducing the general language of measure theory, and the application of this framework in a wide variety of probabilistic scenarios.
More precisely, the course will cover the following aspects of probability theory:
Measure theory and the Lebesgue integral
Convergence of random variables and 0-1 laws
Generating functions: branching processes and characteristic functions
Markov chains
Introduction to martingales

Additional information

Voraussetzungen: Grundkenntnisse aus Analysis und Linearer Algebra

Additional appointments

Appointment series

A6/SR 025/026 Seminarraum

Nicolas Perkowski

einmal, ab 14.04.2020, 16:00 - 18:00 (14 Termine)

Module: Ergänzungsmodul BMS-Fridays (0280bA7.8)

BMS Fridays

LV: 19223111

a.SAP verarbeitet

2 SWS

Holger Reich

Seminar

Submod: 0280bA7.8.1

Akt: 14.04.2020 14:00

Fri, 14:00 - 16:00 ()

Description

The Friday colloquia of BMS represent a common meeting point for Berlin mathematics at Urania Berlin: a colloquium with broad emanation that permits an overview of large-scale connections and insights. In thematic series, the conversation is about “mathematics as a whole,” and we hope to be able to witness some breakthroughs.

Typically, there is a BMS colloquium every other Friday afternoon in the BMS Loft at Urania during term time. BMS Friday colloquia usually start at 2:15 pm. Tea and cookies are served before each talk at 1:00 pm.

More details: https://www.math-berlin.de/academics/bms-fridays

Additional appointments

Appointment series

Holger Reich

einmal, ab 17.04.2020, 14:00 - 16:00 (12 Termine)

Module: Complementary Module What is ? (0280bA7.9)

PhD Seminar "What is...?"

LV: 19217311

a.SAP verarbeitet

2 SWS

Holger Reich

Seminar

Submod: 0280bA7.9.1

Akt: 14.04.2020 14:00

Fri, 12:00 - 14:00 (A7/SR 140 Seminarraum (Hinterhaus))

Description

Content: The "What is ...?" seminar is a 30-minute weekly seminar that concisely introduces terms and ideas that are fundamental to certain fields of mathematics but may not be familiar in others.
The vast mathematical landscape in Berlin welcomes mathematicians with diverse backgrounds to work side by side, yet their paths often only cross within their individual research groups. To encourage interdisciplinary cooperation and collaboration, the "What is ...?" seminar attempts to initiate contact by introducing essential vocabulary and foundational concepts of the numerous fields represented in Berlin. The casual atmosphere of the seminar invites the audience to ask many questions and the speakers to experiment with their presentation styles.
The location of the seminar rotates among the Urania, FU, TU, and HU. On the weeks when a BMS Friday takes place, the "What is ...?" seminar topic is arranged to coincide with the Friday talk acting as an introductory talk for the BMS Friday Colloquium. For a schedule of the talks and their locations, check the website. The website is updated frequently throughout the semester.

Talks and more detailed information can be found here
Homepage: http://www.math.fu-berlin.de/w/Math/WhatIsSeminar

Additional information

The "What is ...?" seminars are usually held before the BMS Friday seminar to complement the topic of the talk.

Audience: Anybody interested in mathematics is invited to attend the "What is ...?" seminars. This includes Bachelors, Masters, Diplom, and PhD students from any field, as well as researchers like Post-Docs.
Requirements: The speakers assume that the audience has at least a general knowledge of graduate-level mathematics.

Additional appointments

Appointment series

A7/SR 140 Seminarraum (Hinterhaus)

Holger Reich

einmal, ab 17.04.2020, 12:00 - 14:00 (12 Termine)

Mathematics (0280c_MA120)

Module: Introductory Module: Algebra II (0280cA1.2)

Basic Module: Algebra II

LV: 19214501

a.SAP verarbeitet

4 SWS

Alexandru Constantinescu

Lecture

Submod: 0280bA2.2.1

Akt: 14.04.2020 14:00

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

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

Practice seminar for Basic Module: Algebra II

LV: 19214502

a.SAP verarbeitet

2 SWS

Alexandru Constantinescu

Practice seminar

Submod: 0280bA2.2.2

Akt: 14.04.2020 14:00

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

Module: Introductory Module: Discrete Geometry II (0280cA1.6)

Basic Module: Discrete Geometrie II

LV: 19214901

a.SAP verarbeitet

4 SWS

Matthias Beck

Lecture

Submod: 0280aA2.2.1

Akt: 24.06.2020 14:40

Tue, 08:00 - 10:00 (A3/SR 119)

Thu, 12:00 - 14:00 (A3/SR 119)

Bachelor's programme in Mathematics

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

Module: Analysis I (0084aA1.1)

Module: Linear Algebra I (0084aA2.1)

Module: Computer-Oriented Mathematics II (0084aA3.2)

Inhalt:

Module: Introduction to Numerical Mathematics (Numerics I) (0084aA4.1)

Module: Main Lecture - Discrete Mathematics I (0084aC3.1)

Content:

Target group:

Content:

Module: Main Lecture Stochastics II (0084aC7.2)

Inhalt

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

Module: Analysis I (0084aA1.1)

Module: Linear Algebra I (0084aA2.1)

Module: Computer-Oriented Mathematics II (0084aA3.2)

Inhalt:

Module: Introduction to Numerical Mathematics (Numerics I) (0084aA4.1)

Module: Seminar on Algorithms (0084bC6.5)

Contents

Target audience

Recommended prerequisites

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

Module: Mathematics Seminar (0084cB1.1)

Selected topics of functional analysis.

Zielgruppe:

Voraussetzungen:

Inhalt

Vortragsvorbereitung

Anforderung

Module: Complex Analysis (0084cB2.3)

Inhalt

Literatur:

Module: Stochastics II (0084cB2.4)

Inhalt

Module: Discrete Mathematics I (0084cB3.2)

Content:

Target group:

Content:

Module: Differential Equations I (0084cB3.1)

Module: Seminar on Algorithms (0089bA2.8)

Contents

Target audience

Recommended prerequisites

Module: Specialisation in Mathematics (0084cB4.1)

Inhalt

Module: Seminar on Current Topics in Mathematics (0084cB4.5)

Introduction to Visualization

Module: Analysis I (0084cA1.1)

Module: Lineare Algebra I (0084cA1.4)

Module: Computerorientierte Mathematik II (0084cA1.7)

Inhalt:

Module: Analysis II (0084cA1.2)

Inhalt

Module: Lineare Algebra II (0084cA1.5)

Module: Numerical Mathematics I (0084cA1.9)

Mathematics (0084d_k120)

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

Selected topics of functional analysis.

Zielgruppe:

Voraussetzungen:

Inhalt

Vortragsvorbereitung

Anforderung

Module: Complex Analysis (0084dB2.3)

Inhalt

Literatur:

Module: Stochastics II (0084dB2.4)

Inhalt

Module: Geometry (0084dB2.7)

Inhalt

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

Module: Differential Equations I (0084dB3.1)

Module: Discrete Mathematics I (0084dB3.2)

Content:

Target group:

Content:

Module: Analysis I (0084dA1.1)

Module: Analysis II (0084dA1.2)