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

Kivanc Ersoy

Lecture

Submod: 0084aA1.1.1

Akt: 28.09.2021 15:42

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

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

Description

Content: This is the first part of a three semester introduction into the basic mathematical field of Analysis. Differential and integral calculus in a real variable will be covered.
Topics:

fundamentals, elementary logic, ordered pairs, relations, functions, domain and range of a function, inverse functions (injectivity, surjectivity)
numbers, induction, calculations in R, C
arrangement of R, maximum and minimum, supremum and infimum of real sets, supremum / infimum completeness of R, absolute value of a real number, Q is dense in R
sequences and series, limits, cauchy sequences, convergence criteria, series and basic principles of convergence
topological aspects of R, open, closed, and compact real sets
sequences of functions, series of functions, power series
properties of functions, boundedness, monotony, convexity
continuity, limits and continuity of functions, uniform continuity, intermediate value theorems, continuity and compactness
differentiability, concept of the derivative, differentiation rules, mean value theorem, local and global extrema, curvature, monotony, convexity
elementary functions, rational functions, root functions, exponential functions, angular functions, hyperbolic functions, real logarithm, inverse trigonometric functions, curve sketching
beginnings of integral calculus

Detailed Information can be found on the Homepage of 19202801 Analysis I.

References

Literature:

Bröcker, Theodor: Analysis 1, Spektrum der Wissenschaft-Verlag.
Forster, Otto: Analysis 1, Vieweg-Verlag.
Spivak, Michael: Calculus, 4th Edition.

Viele Analysis Bücher sind auch über die Fachbibliothek der FU Berlin elektronisch verfügbar.

Bei Schwierigkeiten mit den Grundbegriffen Menge, Abbildung etc. ist die folgende Ausarbeitung empfehlenswert:

Scheerer, Hans: Brückenkurs, Skript FU Berlin 2006.

Additional appointments

Klausur

Virtueller Raum 02

Kivanc Ersoy

08.07.2021 10:00 - 12:00

Nachklausur

T9/Gr. Hörsaal

Kivanc Ersoy

05.10.2021 14:00 - 16:00

Appointment series

Virtueller Raum 05

Kivanc Ersoy

einmal, ab 15.04.2021, 10:00 - 12:00 (12 Termine)

Virtueller Raum 05

Kivanc Ersoy

einmal, ab 13.04.2021, 10:00 - 12:00 (14 Termine)

Practice seminar for Analysis I

LV: 19202802

a.SAP verarbeitet

2 SWS

Kivanc Ersoy

Immanuel Zachhuber

Practice seminar

Submod: 0084aA1.1.2

Akt: 09.03.2021 22:00

Fri, 14:00 - 16:00 (KöLu24-26/SR 006 Neuro/Mathe)

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

Thu, 08:00 - 10:00 (Virtueller Raum 07)

Wed, 14:00 - 16:00 (Virtueller Raum 20)

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

Additional appointments

Appointment series

KöLu24-26/SR 006 Neuro/Mathe

Kivanc Ersoy

Immanuel Zachhuber

einmal, ab 16.04.2021, 14:00 - 16:00 (14 Termine)

A6/SR 031 Seminarraum

Kivanc Ersoy

Immanuel Zachhuber

einmal, ab 13.04.2021, 16:00 - 18:00 (14 Termine)

Virtueller Raum 07

Kivanc Ersoy

Immanuel Zachhuber

einmal, ab 15.04.2021, 08:00 - 10:00 (13 Termine)

Virtueller Raum 20

Kivanc Ersoy

Immanuel Zachhuber

einmal, ab 14.04.2021, 14:00 - 16:00 (14 Termine)

KöLu24-26/SR 006 Neuro/Mathe

Kivanc Ersoy

Immanuel Zachhuber

einmal, ab 12.04.2021, 16:00 - 18:00 (13 Termine)

Module: Linear Algebra I (0084aA2.1)

Linear Algebra I

LV: 19201401

a.SAP verarbeitet

4 SWS

Alexander Schmitt

Lecture

Submod: 0084aA2.1.1

Akt: 13.09.2021 17:24

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

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

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.

Website: http://userpage.fu-berlin.de/~aschmitt/LAI21.html

References

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

Zu den Grundlagen

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

Additional appointments

Lineare Algebra I

A3/Hs 001 Hörsaal

Alexander Schmitt

27.09.2021 12:00 - 18:00

Appointment series

Virtueller Raum 05

Alexander Schmitt

einmal, ab 14.04.2021, 08:00 - 10:00 (14 Termine)

Virtueller Raum 05

Alexander Schmitt

einmal, ab 12.04.2021, 08:00 - 10:00 (13 Termine)

Practice seminar for Linear Algebra I

LV: 19201402

a.SAP verarbeitet

2 SWS

Alexander Schmitt

Practice seminar

Submod: 0084aA2.1.2

Akt: 13.08.2021 12:00

Tue, 12:00 - 14:00 (Virtueller Raum 02)

Wed, 12:00 - 14:00 (Virtueller Raum 20)

Mon, 14:00 - 16:00 (T9/Gr. Hörsaal)

Thu, 14:00 - 16:00 (Virtueller Raum 04)

Additional appointments

Appointment series

Virtueller Raum 02

Alexander Schmitt

einmal, ab 13.04.2021, 12:00 - 14:00 (14 Termine)

Virtueller Raum 20

Alexander Schmitt

einmal, ab 14.04.2021, 12:00 - 14:00 (14 Termine)

T9/Gr. Hörsaal

Alexander Schmitt

einmal, ab 12.04.2021, 14:00 - 16:00 (13 Termine)

Virtueller Raum 04

Alexander Schmitt

einmal, ab 15.04.2021, 14:00 - 16:00 (13 Termine)

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

Computer-oriented Mathematics II

LV: 19211901

a.SAP verarbeitet

2 SWS

Ralf Kornhuber

Christof Schütte

Lecture

Submod: 0084aA3.2.1

Akt: 19.05.2021 14:00

Fri, 12:00 - 14:00 (Virtueller Raum 05)

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

Virtueller Raum 05

Ralf Kornhuber

Christof Schütte

einmal, ab 16.04.2021, 12:00 - 14:00 (14 Termine)

Practice seminar for Computer-oriented Mathematics II

LV: 19211902

a.SAP verarbeitet

2 SWS

Lasse Hinrichsen-Bischoff

Practice seminar

Submod: 0084aA3.2.2

Akt: 09.03.2021 22:00

Tue, 12:00 - 14:00 (Virtueller Raum 04)

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

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

Thu, 14:00 - 16:00 (Virtueller Raum 08)

Wed, 16:00 - 18:00 (A3/Hs 001 Hörsaal)

Tue, 16:00 - 18:00 (Virtueller Raum 15)

Thu, 12:00 - 14:00 (Virtueller Raum 06)

Mon, 14:00 - 16:00 (Virtueller Raum 04)

Additional appointments

Appointment series

Virtueller Raum 04

Lasse Hinrichsen-Bischoff

einmal, ab 13.04.2021, 12:00 - 14:00 (14 Termine)

A3/019 Seminarraum

Lasse Hinrichsen-Bischoff

einmal, ab 14.04.2021, 10:00 - 12:00 (14 Termine)

A3/Hs 001 Hörsaal

Lasse Hinrichsen-Bischoff

einmal, ab 14.04.2021, 08:00 - 10:00 (14 Termine)

Virtueller Raum 08

Lasse Hinrichsen-Bischoff

einmal, ab 15.04.2021, 14:00 - 16:00 (13 Termine)

A3/Hs 001 Hörsaal

Lasse Hinrichsen-Bischoff

einmal, ab 14.04.2021, 16:00 - 18:00 (14 Termine)

Virtueller Raum 15

Lasse Hinrichsen-Bischoff

einmal, ab 13.04.2021, 16:00 - 18:00 (14 Termine)

Virtueller Raum 06

Lasse Hinrichsen-Bischoff

einmal, ab 15.04.2021, 12:00 - 14:00 (13 Termine)

Virtueller Raum 04

Lasse Hinrichsen-Bischoff

einmal, ab 12.04.2021, 14:00 - 16:00 (13 Termine)

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

Numerics I

LV: 19212001

a.SAP verarbeitet

4 SWS

Péter Koltai

Lecture

Submod: 0084aA4.1.1

Akt: 19.07.2021 11:09

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

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

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

Numerik I

A3/Hs 001 Hörsaal

Péter Koltai

15.07.2021 08:00 - 10:00

Klausur

A6/SR 032 Seminarraum

Péter Koltai

31.08.2021 08:00 - 10:00

Appointment series

Virtueller Raum 24

Péter Koltai

einmal, ab 13.04.2021, 08:00 - 10:00 (14 Termine)

Virtueller Raum 24

Péter Koltai

einmal, ab 15.04.2021, 08:00 - 10:00 (13 Termine)

Practice seminar for Numerics I

LV: 19212002

a.SAP verarbeitet

2 SWS

Péter Koltai

Gottfried Hastermann

Practice seminar

Submod: 0084aA4.1.2

Akt: 20.07.2021 16:00

Mon, 10:00 - 12:00 (Virtueller Raum 22)

Thu, 16:00 - 18:00 (Virtueller Raum 22)

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

Wed, 10:00 - 12:00 (Virtueller Raum 22)

Additional appointments

Appointment series

Virtueller Raum 22

Péter Koltai

Gottfried Hastermann

einmal, ab 12.04.2021, 10:00 - 12:00 (13 Termine)

Virtueller Raum 22

Péter Koltai

Gottfried Hastermann

einmal, ab 15.04.2021, 16:00 - 18:00 (13 Termine)

Virtueller Raum 28

Péter Koltai

Gottfried Hastermann

einmal, ab 16.04.2021, 10:00 - 12:00 (14 Termine)

Virtueller Raum 22

Péter Koltai

Gottfried Hastermann

einmal, ab 14.04.2021, 10:00 - 12:00 (14 Termine)

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

Discrete Mathematics I

LV: 19214701

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4 SWS

Ralf Borndörfer

Lecture

Submod: 0084aC3.1.1

Akt: 11.10.2021 14:37

Wed, 14:00 - 16:00 (Virtueller Raum 24)

Tue, 14:00 - 16:00 (Virtueller Raum 24)

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)

References

J. Matousek, J. Nesetril (2002/2007): An Invitation to Discrete Mathematics, Oxford University Press, Oxford/Diskrete Mathematik, Springer Verlag, Berlin, Heidelberg.
L. Lovasz, J. Pelikan, K. Vesztergombi (2003): Discrete Mathemtics - Elementary and Beyond/Diskrete Mathematik, Springer Verlag, New York.
N. Biggs (2004): Discrete Mathematics. Oxford University Press, Oxford.
M. Aigner (2004/2007): Diskrete Mathematik, Vieweg Verlag, Wiesbaden/Discrete Mathemattics, American Mathematical Society, USA.
D. West (2011): Introduction to Graph Theory. Pearson Education, New York.

Additional information

Target group:

BMS students, Master and Bachelor students

Additional appointments

Klausur

Hs 1a Hörsaal

Ralf Borndörfer

14.07.2021 14:00 - 16:00

Nacklausur

Hs 1a Hörsaal

Ralf Borndörfer

13.10.2021 10:00 - 13:00

Klausureinsichttermin

A6/SR 032 Seminarraum

Ralf Borndörfer

22.10.2021 16:00 - 17:00

Appointment series

Virtueller Raum 24

Ralf Borndörfer

einmal, ab 14.04.2021, 14:00 - 16:00 (14 Termine)

Virtueller Raum 24

Ralf Borndörfer

einmal, ab 13.04.2021, 14:00 - 16:00 (14 Termine)

Practice seminar for Discrete Mathematics I

LV: 19214702

a.SAP verarbeitet

2 SWS

Ralf Borndörfer

Practice seminar

Submod: 0084aC3.1.2

Akt: 01.12.2021 14:00

Wed, 08:00 - 10:00 (Virtueller Raum 06)

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

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

Virtueller Raum 06

Ralf Borndörfer

einmal, ab 14.04.2021, 08:00 - 10:00 (14 Termine)

Virtueller Raum 25

Ralf Borndörfer

einmal, ab 13.04.2021, 16:00 - 18:00 (14 Termine)

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

Stochastics II

LV: 19212901

a.SAP verarbeitet

4 SWS

Felix Höfling

Lecture

Submod: 0084aC7.2.1

Akt: 01.07.2021 16:00

Mon, 12:00 - 14:00 (T9/Gr. Hörsaal)

Thu, 14:00 - 16:00 (T9/Gr. Hörsaal)

Description

Contents:

Construction of stochastic processes;
conditional expectation;
martingales and Markov chains in discrete time;
weak convergence;
first time-continuous processes (in particular Brownian motion)

Additional information

Prerequisite: Stochastics I and Analysis I — III.

Additional appointments

Stochastik II - Klausur 2

A6/SR 031 Seminarraum

Felix Höfling

21.07.2021 14:00 - 16:00

Stochastik II - zweite Klausur

A6/SR 031 Seminarraum

Felix Höfling

12.10.2021 10:00 - 14:00

Appointment series

T9/Gr. Hörsaal

Felix Höfling

einmal, ab 12.04.2021, 12:00 - 14:00 (13 Termine)

T9/Gr. Hörsaal

Felix Höfling

einmal, ab 15.04.2021, 14:00 - 16:00 (13 Termine)

Practice seminar for Stochastics II

LV: 19212902

a.SAP verarbeitet

2 SWS

Felix Höfling

Practice seminar

Submod: 0084aC7.2.2

Akt: 09.03.2021 22:00

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

Appointment series

A6/SR 031 Seminarraum

Felix Höfling

einmal, ab 14.04.2021, 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

Kivanc Ersoy

Lecture

Submod: 0084aA1.1.1

Akt: 28.09.2021 15:42

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

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

Description

Content: This is the first part of a three semester introduction into the basic mathematical field of Analysis. Differential and integral calculus in a real variable will be covered.
Topics:

fundamentals, elementary logic, ordered pairs, relations, functions, domain and range of a function, inverse functions (injectivity, surjectivity)
numbers, induction, calculations in R, C
arrangement of R, maximum and minimum, supremum and infimum of real sets, supremum / infimum completeness of R, absolute value of a real number, Q is dense in R
sequences and series, limits, cauchy sequences, convergence criteria, series and basic principles of convergence
topological aspects of R, open, closed, and compact real sets
sequences of functions, series of functions, power series
properties of functions, boundedness, monotony, convexity
continuity, limits and continuity of functions, uniform continuity, intermediate value theorems, continuity and compactness
differentiability, concept of the derivative, differentiation rules, mean value theorem, local and global extrema, curvature, monotony, convexity
elementary functions, rational functions, root functions, exponential functions, angular functions, hyperbolic functions, real logarithm, inverse trigonometric functions, curve sketching
beginnings of integral calculus

Detailed Information can be found on the Homepage of 19202801 Analysis I.

References

Literature:

Bröcker, Theodor: Analysis 1, Spektrum der Wissenschaft-Verlag.
Forster, Otto: Analysis 1, Vieweg-Verlag.
Spivak, Michael: Calculus, 4th Edition.

Viele Analysis Bücher sind auch über die Fachbibliothek der FU Berlin elektronisch verfügbar.

Bei Schwierigkeiten mit den Grundbegriffen Menge, Abbildung etc. ist die folgende Ausarbeitung empfehlenswert:

Scheerer, Hans: Brückenkurs, Skript FU Berlin 2006.

Additional appointments

Klausur

Virtueller Raum 02

Kivanc Ersoy

08.07.2021 10:00 - 12:00

Nachklausur

T9/Gr. Hörsaal

Kivanc Ersoy

05.10.2021 14:00 - 16:00

Appointment series

Virtueller Raum 05

Kivanc Ersoy

einmal, ab 15.04.2021, 10:00 - 12:00 (12 Termine)

Virtueller Raum 05

Kivanc Ersoy

einmal, ab 13.04.2021, 10:00 - 12:00 (14 Termine)

Practice seminar for Analysis I

LV: 19202802

a.SAP verarbeitet

2 SWS

Kivanc Ersoy

Immanuel Zachhuber

Practice seminar

Submod: 0084aA1.1.2

Akt: 09.03.2021 22:00

Fri, 14:00 - 16:00 (KöLu24-26/SR 006 Neuro/Mathe)

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

Thu, 08:00 - 10:00 (Virtueller Raum 07)

Wed, 14:00 - 16:00 (Virtueller Raum 20)

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

Additional appointments

Appointment series

KöLu24-26/SR 006 Neuro/Mathe

Kivanc Ersoy

Immanuel Zachhuber

einmal, ab 16.04.2021, 14:00 - 16:00 (14 Termine)

A6/SR 031 Seminarraum

Kivanc Ersoy

Immanuel Zachhuber

einmal, ab 13.04.2021, 16:00 - 18:00 (14 Termine)

Virtueller Raum 07

Kivanc Ersoy

Immanuel Zachhuber

einmal, ab 15.04.2021, 08:00 - 10:00 (13 Termine)

Virtueller Raum 20

Kivanc Ersoy

Immanuel Zachhuber

einmal, ab 14.04.2021, 14:00 - 16:00 (14 Termine)

KöLu24-26/SR 006 Neuro/Mathe

Kivanc Ersoy

Immanuel Zachhuber

einmal, ab 12.04.2021, 16:00 - 18:00 (13 Termine)

Module: Linear Algebra I (0084aA2.1)

Linear Algebra I

LV: 19201401

a.SAP verarbeitet

4 SWS

Alexander Schmitt

Lecture

Submod: 0084aA2.1.1

Akt: 13.09.2021 17:24

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

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

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.

Website: http://userpage.fu-berlin.de/~aschmitt/LAI21.html

References

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

Zu den Grundlagen

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

Additional appointments

Lineare Algebra I

A3/Hs 001 Hörsaal

Alexander Schmitt

27.09.2021 12:00 - 18:00

Appointment series

Virtueller Raum 05

Alexander Schmitt

einmal, ab 14.04.2021, 08:00 - 10:00 (14 Termine)

Virtueller Raum 05

Alexander Schmitt

einmal, ab 12.04.2021, 08:00 - 10:00 (13 Termine)

Practice seminar for Linear Algebra I

LV: 19201402

a.SAP verarbeitet

2 SWS

Alexander Schmitt

Practice seminar

Submod: 0084aA2.1.2

Akt: 13.08.2021 12:00

Tue, 12:00 - 14:00 (Virtueller Raum 02)

Wed, 12:00 - 14:00 (Virtueller Raum 20)

Mon, 14:00 - 16:00 (T9/Gr. Hörsaal)

Thu, 14:00 - 16:00 (Virtueller Raum 04)

Additional appointments

Appointment series

Virtueller Raum 02

Alexander Schmitt

einmal, ab 13.04.2021, 12:00 - 14:00 (14 Termine)

Virtueller Raum 20

Alexander Schmitt

einmal, ab 14.04.2021, 12:00 - 14:00 (14 Termine)

T9/Gr. Hörsaal

Alexander Schmitt

einmal, ab 12.04.2021, 14:00 - 16:00 (13 Termine)

Virtueller Raum 04

Alexander Schmitt

einmal, ab 15.04.2021, 14:00 - 16:00 (13 Termine)

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

Computer-oriented Mathematics II

LV: 19211901

a.SAP verarbeitet

2 SWS

Ralf Kornhuber

Christof Schütte

Lecture

Submod: 0084aA3.2.1

Akt: 19.05.2021 14:00

Fri, 12:00 - 14:00 (Virtueller Raum 05)

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

Virtueller Raum 05

Ralf Kornhuber

Christof Schütte

einmal, ab 16.04.2021, 12:00 - 14:00 (14 Termine)

Practice seminar for Computer-oriented Mathematics II

LV: 19211902

a.SAP verarbeitet

2 SWS

Lasse Hinrichsen-Bischoff

Practice seminar

Submod: 0084aA3.2.2

Akt: 09.03.2021 22:00

Tue, 12:00 - 14:00 (Virtueller Raum 04)

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

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

Thu, 14:00 - 16:00 (Virtueller Raum 08)

Wed, 16:00 - 18:00 (A3/Hs 001 Hörsaal)

Tue, 16:00 - 18:00 (Virtueller Raum 15)

Thu, 12:00 - 14:00 (Virtueller Raum 06)

Mon, 14:00 - 16:00 (Virtueller Raum 04)

Additional appointments

Appointment series

Virtueller Raum 04

Lasse Hinrichsen-Bischoff

einmal, ab 13.04.2021, 12:00 - 14:00 (14 Termine)

A3/019 Seminarraum

Lasse Hinrichsen-Bischoff

einmal, ab 14.04.2021, 10:00 - 12:00 (14 Termine)

A3/Hs 001 Hörsaal

Lasse Hinrichsen-Bischoff

einmal, ab 14.04.2021, 08:00 - 10:00 (14 Termine)

Virtueller Raum 08

Lasse Hinrichsen-Bischoff

einmal, ab 15.04.2021, 14:00 - 16:00 (13 Termine)

A3/Hs 001 Hörsaal

Lasse Hinrichsen-Bischoff

einmal, ab 14.04.2021, 16:00 - 18:00 (14 Termine)

Virtueller Raum 15

Lasse Hinrichsen-Bischoff

einmal, ab 13.04.2021, 16:00 - 18:00 (14 Termine)

Virtueller Raum 06

Lasse Hinrichsen-Bischoff

einmal, ab 15.04.2021, 12:00 - 14:00 (13 Termine)

Virtueller Raum 04

Lasse Hinrichsen-Bischoff

einmal, ab 12.04.2021, 14:00 - 16:00 (13 Termine)

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

Numerics I

LV: 19212001

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4 SWS

Péter Koltai

Lecture

Submod: 0084aA4.1.1

Akt: 19.07.2021 11:09

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

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

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

Numerik I

A3/Hs 001 Hörsaal

Péter Koltai

15.07.2021 08:00 - 10:00

Klausur

A6/SR 032 Seminarraum

Péter Koltai

31.08.2021 08:00 - 10:00

Appointment series

Virtueller Raum 24

Péter Koltai

einmal, ab 13.04.2021, 08:00 - 10:00 (14 Termine)

Virtueller Raum 24

Péter Koltai

einmal, ab 15.04.2021, 08:00 - 10:00 (13 Termine)

Practice seminar for Numerics I

LV: 19212002

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2 SWS

Péter Koltai

Gottfried Hastermann

Practice seminar

Submod: 0084aA4.1.2

Akt: 20.07.2021 16:00

Mon, 10:00 - 12:00 (Virtueller Raum 22)

Thu, 16:00 - 18:00 (Virtueller Raum 22)

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

Wed, 10:00 - 12:00 (Virtueller Raum 22)

Additional appointments

Appointment series

Virtueller Raum 22

Péter Koltai

Gottfried Hastermann

einmal, ab 12.04.2021, 10:00 - 12:00 (13 Termine)

Virtueller Raum 22

Péter Koltai

Gottfried Hastermann

einmal, ab 15.04.2021, 16:00 - 18:00 (13 Termine)

Virtueller Raum 28

Péter Koltai

Gottfried Hastermann

einmal, ab 16.04.2021, 10:00 - 12:00 (14 Termine)

Virtueller Raum 22

Péter Koltai

Gottfried Hastermann

einmal, ab 14.04.2021, 10:00 - 12:00 (14 Termine)

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

Module: Mathematics Seminar (0084cB1.1)

Chemical and Metabolic Networks

LV: 19202911

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2 SWS

Bernold Fiedler

Isabelle Schneider

Seminar

Submod: 0084cB1.1.1

Akt: 25.03.2021 12:00

Wed, 10:00 - 12:00 (Virtueller Raum 25)

Description

Based on the course Dynamical Systems 1 and/or 2, we will explore the dynamics of reaction networks of ordinary differential equations. Starting with Feinberg's notation, we draw a line from general results such as the existence of positive steady states to real-life applications such as the Citric Acid Cycle, cell-differentiation, and mammalian circadian sleep-wake rhythms. Chemistry or biology knowledge is neither a prerequisite, nor an impediment.

Additional information

Zielgruppe: Studierende der Semester 4-6

Additional appointments

Appointment series

Virtueller Raum 25

Bernold Fiedler

Isabelle Schneider

einmal, ab 14.04.2021, 10:00 - 12:00 (14 Termine)

Proseminar/Seminar on Algebra - Symmetries

LV: 19203017

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2 SWS

Gabriel James Angelini-Knoll

Seminar / Undergraduate Course

Submod: 0084cB1.1.1

Akt: 09.03.2021 22:00

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

Description

Content: Symmetry is a phenomenon that plays a role in all natural sciences. Groups and the term group operation were invented to describe symmetries of mathematical objects. In this proseminar we will first examine the symmetries of figures in the plane and develop the basic mathematical terms "group" and "group operation", which are needed to describe symmetries. Later lectures will deal with groups with amazing properties.

Further information can be found on the homepage of the Pro-/Seminar.

References

Literature will be given at the beginning of the Pro-/Seminar or can be found on the Homepage.

Additional information

Target group: Students in the 3rd semester of mathematics.
Requirements: Only knowledge of some basic mathematical terms (group, vector space, linear mapping, metric, scalar product) is assumed. In addition to learning mathematical contents, the goal of a proseminar is also to gain first experiences with scientific presentations in front of an audience.

Additional appointments

Appointment series

Virtueller Raum 29

Gabriel James Angelini-Knoll

einmal, ab 14.04.2021, 10:00 - 12:00 (14 Termine)

Proseminar/Seminar zur diskreten Mathematik

LV: 19203611

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2 SWS

Matthias Beck

Sophie Rehberg

Seminar

Submod: 0084cB1.1.1

Akt: 09.03.2021 22:00

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

Seminar zur Visualisierung

LV: 19212411

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2 SWS

Konrad Polthier

Henriette-Sophie Lipschütz

Seminar

Submod: 0084cB1.1.1

Akt: 09.03.2021 22:00

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

Description

Based on selected research literature, the students work out a relevant topic in visualization and computer graphics.

Usually, research articles are distributed which will be read, understood, presented, and illustrated with examples independently.

Therefore, own illustrations or implementations of the central algorithms can be used.

Every participant prepares a talk of maximally 90 minutes length containing discussion and questions.

Further, every participant writes a preparation to explain the content of the talk in detail and to summarize the topic in a structured way.

Topics are chosen from the following areas:

- general techniques in visualization

- visualization of vector fields

- rendering

- image processing

- smoothing of geometries

- discrete methods on 3D models

- animation

Additional appointments

Appointment series

Virtueller Raum 27

Konrad Polthier

Henriette-Sophie Lipschütz

einmal, ab 13.04.2021, 14:00 - 16:00 (14 Termine)

Mathematical Writing

LV: 19213710

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2 SWS

Christian Haase

Matthias Beck

Proseminar

Submod: 0084cB1.1.1

Akt: 29.04.2021 18:00

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

Appointment series

A6/SR 025/026 Seminarraum

Christian Haase

Matthias Beck

einmal, ab 14.04.2021, 12:00 - 14:00 (14 Termine)

Module: Elementargeometrie (0084cB2.6)

Geometry

LV: 19213101

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4 SWS

Christian Haase

Lecture

Submod: 0084cB2.6.1

Akt: 06.09.2021 10:00

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

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

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.

References

Literatur

Marcel Berger. Geometry I
David A. Brannan, Matthew F. Esplen, and Jeremy J. Gray. Geometry
Gerd Fischer. Analytische Geometrie
V.V. Prasolov und V.M. Tikhomirov. Geometry

Additional appointments

Fragestunde

A3/Hs 001 Hörsaal

Christian Haase

22.07.2021 16:00 - 18:00

Klausur

HFB/C Hörsaal

Christian Haase

19.08.2021 10:00 - 12:00

Fragestunde/Klausreinsicht

A3/Hs 001 Hörsaal

Christian Haase

08.09.2021 16:00 - 18:00

Nachklausur

A6/SR 031 Seminarraum

Christian Haase

08.10.2021 10:00 - 12:00

Appointment series

Virtueller Raum 26

Christian Haase

einmal, ab 12.04.2021, 10:00 - 12:00 (13 Termine)

A3/Hs 001 Hörsaal

Christian Haase

einmal, ab 15.04.2021, 12:00 - 14:00 (14 Termine)

Practice seminar for Geometry

LV: 19213102

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2 SWS

Christian Haase

Jonathan Kliem

Practice seminar

Submod: 0084cB2.6.2

Akt: 27.04.2021 10:00

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

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

Module: Complex Analysis (0084cB2.3)

Theory of Functions

LV: 19212801

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4 SWS

Konrad Polthier

Lecture

Submod: 0084cB2.3.1

Akt: 09.04.2021 19:19

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

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

Description

Function theory is a classical field of mathematics, which deals with the properties of complex-differentiable functions on the complex number plane and has connections to algebra, analysis, number theory and geometry.

The concept of complex differentiability restricts real-differentiable functions from R2 to R2 to angle-preserving images. We will discover that complex-differentiable functions are quite rigid objects, but they are endowed with many amazing analytical, geometric, and visual properties.

A major result discussed in this lecture is Cauchy's integral theorem which states that the integral of any complexly differentiable function along a closed path in the complex plane is zero. We will see many nice consequences of this result, e.g. Cauchy's integral formula, the residual theorem and a proof of the fundamental theorem of algebra, as well as modern graphical representation methods.

References

Literatur:

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

Additional appointments

Appointment series

Virtueller Raum 26

Konrad Polthier

einmal, ab 13.04.2021, 10:00 - 12:00 (14 Termine)

Virtueller Raum 26

Konrad Polthier

einmal, ab 15.04.2021, 10:00 - 12:00 (13 Termine)

Practice seminar for Theory of Functions

LV: 19212802

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2 SWS

Konrad Polthier

Henriette-Sophie Lipschütz

Practice seminar

Submod: 0084cB2.3.2

Akt: 24.03.2021 09:45

Mon, 08:00 - 10:00 (Virtueller Raum 25)

Module: Stochastics II (0084cB2.4)

Stochastics II

LV: 19212901

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4 SWS

Felix Höfling

Lecture

Submod: 0084aC7.2.1

Akt: 01.07.2021 16:00

Mon, 12:00 - 14:00 (T9/Gr. Hörsaal)

Thu, 14:00 - 16:00 (T9/Gr. Hörsaal)

Description

Contents:

Construction of stochastic processes;
conditional expectation;
martingales and Markov chains in discrete time;
weak convergence;
first time-continuous processes (in particular Brownian motion)

Additional information

Prerequisite: Stochastics I and Analysis I — III.

Additional appointments

Stochastik II - Klausur 2

A6/SR 031 Seminarraum

Felix Höfling

21.07.2021 14:00 - 16:00

Stochastik II - zweite Klausur

A6/SR 031 Seminarraum

Felix Höfling

12.10.2021 10:00 - 14:00

Appointment series

T9/Gr. Hörsaal

Felix Höfling

einmal, ab 12.04.2021, 12:00 - 14:00 (13 Termine)

T9/Gr. Hörsaal

Felix Höfling

einmal, ab 15.04.2021, 14:00 - 16:00 (13 Termine)

Practice seminar for Stochastics II

LV: 19212902

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2 SWS

Felix Höfling

Practice seminar

Submod: 0084aC7.2.2

Akt: 09.03.2021 22:00

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

Appointment series

A6/SR 031 Seminarraum

Felix Höfling

einmal, ab 14.04.2021, 16:00 - 18:00 (14 Termine)

Module: Discrete Mathematics I (0084cB3.2)

Discrete Mathematics I

LV: 19214701

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4 SWS

Ralf Borndörfer

Lecture

Submod: 0084aC3.1.1

Akt: 11.10.2021 14:37

Wed, 14:00 - 16:00 (Virtueller Raum 24)

Tue, 14:00 - 16:00 (Virtueller Raum 24)

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)

References

J. Matousek, J. Nesetril (2002/2007): An Invitation to Discrete Mathematics, Oxford University Press, Oxford/Diskrete Mathematik, Springer Verlag, Berlin, Heidelberg.
L. Lovasz, J. Pelikan, K. Vesztergombi (2003): Discrete Mathemtics - Elementary and Beyond/Diskrete Mathematik, Springer Verlag, New York.
N. Biggs (2004): Discrete Mathematics. Oxford University Press, Oxford.
M. Aigner (2004/2007): Diskrete Mathematik, Vieweg Verlag, Wiesbaden/Discrete Mathemattics, American Mathematical Society, USA.
D. West (2011): Introduction to Graph Theory. Pearson Education, New York.

Additional information

Target group:

BMS students, Master and Bachelor students

Additional appointments

Klausur

Hs 1a Hörsaal

Ralf Borndörfer

14.07.2021 14:00 - 16:00

Nacklausur

Hs 1a Hörsaal

Ralf Borndörfer

13.10.2021 10:00 - 13:00

Klausureinsichttermin

A6/SR 032 Seminarraum

Ralf Borndörfer

22.10.2021 16:00 - 17:00

Appointment series

Virtueller Raum 24

Ralf Borndörfer

einmal, ab 14.04.2021, 14:00 - 16:00 (14 Termine)

Virtueller Raum 24

Ralf Borndörfer

einmal, ab 13.04.2021, 14:00 - 16:00 (14 Termine)

Practice seminar for Discrete Mathematics I

LV: 19214702

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2 SWS

Ralf Borndörfer

Practice seminar

Submod: 0084aC3.1.2

Akt: 01.12.2021 14:00

Wed, 08:00 - 10:00 (Virtueller Raum 06)

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

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

Virtueller Raum 06

Ralf Borndörfer

einmal, ab 14.04.2021, 08:00 - 10:00 (14 Termine)

Virtueller Raum 25

Ralf Borndörfer

einmal, ab 13.04.2021, 16:00 - 18:00 (14 Termine)

Module: Specialisation in Mathematics (0084cB4.1)

Geometry

LV: 19213101

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4 SWS

Christian Haase

Lecture

Submod: 0084cB2.6.1

Akt: 06.09.2021 10:00

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

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

Description

Inhalt

Sie behandelt grundlegende Modelle der Geometrie, insbesondere

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

References

Literatur

Marcel Berger. Geometry I
David A. Brannan, Matthew F. Esplen, and Jeremy J. Gray. Geometry
Gerd Fischer. Analytische Geometrie
V.V. Prasolov und V.M. Tikhomirov. Geometry

Additional appointments

Fragestunde

A3/Hs 001 Hörsaal

Christian Haase

22.07.2021 16:00 - 18:00

Klausur

HFB/C Hörsaal

Christian Haase

19.08.2021 10:00 - 12:00

Fragestunde/Klausreinsicht

A3/Hs 001 Hörsaal

Christian Haase

08.09.2021 16:00 - 18:00

Nachklausur

A6/SR 031 Seminarraum

Christian Haase

08.10.2021 10:00 - 12:00

Appointment series

Virtueller Raum 26

Christian Haase

einmal, ab 12.04.2021, 10:00 - 12:00 (13 Termine)

A3/Hs 001 Hörsaal

Christian Haase

einmal, ab 15.04.2021, 12:00 - 14:00 (14 Termine)

Practice seminar for Geometry

LV: 19213102

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2 SWS

Christian Haase

Jonathan Kliem

Practice seminar

Submod: 0084cB2.6.2

Akt: 27.04.2021 10:00

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

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

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

Introduction to Visualisation

LV: 19214119

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4 SWS

Konrad Polthier

Henriette-Sophie Lipschütz

Seminar with practice

Submod: 0084cB4.5.1

Akt: 09.03.2021 22:00

Mon, 09:00 - 18:00 (Virtueller Raum 23)

Description

The course provides an introduction to fundamental methods and principles in visualization for mathematics, data science and industrial applications. We discuss mathematical foundations and data structures and present several core algorithms and tools.

The students get practical hands-on experience with at least one visualization system during a larger project work and develop strategies and visualizations for appropriate problems.

Topics include:

Data structures and key algorithms
Visualization of curves, surfaces and volumes
Applications to scientific and industrial problems
3D modelling and animation
Concepts from dynamic geometry
3D-Scanning and 3D-Printing basics

Additional appointments

Appointment series

Virtueller Raum 23

Konrad Polthier

Henriette-Sophie Lipschütz

einmal, ab 06.09.2021, 09:00 - 18:00 (15 Termine)

Module: Analysis I (0084cA1.1)

Analysis I

LV: 19202801

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4 SWS

Kivanc Ersoy

Lecture

Submod: 0084aA1.1.1

Akt: 28.09.2021 15:42

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

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

Description

Content: This is the first part of a three semester introduction into the basic mathematical field of Analysis. Differential and integral calculus in a real variable will be covered.
Topics:

fundamentals, elementary logic, ordered pairs, relations, functions, domain and range of a function, inverse functions (injectivity, surjectivity)
numbers, induction, calculations in R, C
arrangement of R, maximum and minimum, supremum and infimum of real sets, supremum / infimum completeness of R, absolute value of a real number, Q is dense in R
sequences and series, limits, cauchy sequences, convergence criteria, series and basic principles of convergence
topological aspects of R, open, closed, and compact real sets
sequences of functions, series of functions, power series
properties of functions, boundedness, monotony, convexity
continuity, limits and continuity of functions, uniform continuity, intermediate value theorems, continuity and compactness
differentiability, concept of the derivative, differentiation rules, mean value theorem, local and global extrema, curvature, monotony, convexity
elementary functions, rational functions, root functions, exponential functions, angular functions, hyperbolic functions, real logarithm, inverse trigonometric functions, curve sketching
beginnings of integral calculus

Detailed Information can be found on the Homepage of 19202801 Analysis I.

References

Literature:

Bröcker, Theodor: Analysis 1, Spektrum der Wissenschaft-Verlag.
Forster, Otto: Analysis 1, Vieweg-Verlag.
Spivak, Michael: Calculus, 4th Edition.

Viele Analysis Bücher sind auch über die Fachbibliothek der FU Berlin elektronisch verfügbar.

Bei Schwierigkeiten mit den Grundbegriffen Menge, Abbildung etc. ist die folgende Ausarbeitung empfehlenswert:

Scheerer, Hans: Brückenkurs, Skript FU Berlin 2006.

Additional appointments

Klausur

Virtueller Raum 02

Kivanc Ersoy

08.07.2021 10:00 - 12:00

Nachklausur

T9/Gr. Hörsaal

Kivanc Ersoy

05.10.2021 14:00 - 16:00

Appointment series

Virtueller Raum 05

Kivanc Ersoy

einmal, ab 15.04.2021, 10:00 - 12:00 (12 Termine)

Virtueller Raum 05

Kivanc Ersoy

einmal, ab 13.04.2021, 10:00 - 12:00 (14 Termine)

Practice seminar for Analysis I

LV: 19202802

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2 SWS

Kivanc Ersoy

Immanuel Zachhuber

Practice seminar

Submod: 0084aA1.1.2

Akt: 09.03.2021 22:00

Fri, 14:00 - 16:00 (KöLu24-26/SR 006 Neuro/Mathe)

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

Thu, 08:00 - 10:00 (Virtueller Raum 07)

Wed, 14:00 - 16:00 (Virtueller Raum 20)

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

Additional appointments

Appointment series

KöLu24-26/SR 006 Neuro/Mathe

Kivanc Ersoy

Immanuel Zachhuber

einmal, ab 16.04.2021, 14:00 - 16:00 (14 Termine)

A6/SR 031 Seminarraum

Kivanc Ersoy

Immanuel Zachhuber

einmal, ab 13.04.2021, 16:00 - 18:00 (14 Termine)

Virtueller Raum 07

Kivanc Ersoy

Immanuel Zachhuber

einmal, ab 15.04.2021, 08:00 - 10:00 (13 Termine)

Virtueller Raum 20

Kivanc Ersoy

Immanuel Zachhuber

einmal, ab 14.04.2021, 14:00 - 16:00 (14 Termine)

KöLu24-26/SR 006 Neuro/Mathe

Kivanc Ersoy

Immanuel Zachhuber

einmal, ab 12.04.2021, 16:00 - 18:00 (13 Termine)

Module: Lineare Algebra I (0084cA1.4)

Linear Algebra I

LV: 19201401

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4 SWS

Alexander Schmitt

Lecture

Submod: 0084aA2.1.1

Akt: 13.09.2021 17:24

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

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

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.

Website: http://userpage.fu-berlin.de/~aschmitt/LAI21.html

References

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

Zu den Grundlagen

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

Additional appointments

Lineare Algebra I

A3/Hs 001 Hörsaal

Alexander Schmitt

27.09.2021 12:00 - 18:00

Appointment series

Virtueller Raum 05

Alexander Schmitt

einmal, ab 14.04.2021, 08:00 - 10:00 (14 Termine)

Virtueller Raum 05

Alexander Schmitt

einmal, ab 12.04.2021, 08:00 - 10:00 (13 Termine)

Practice seminar for Linear Algebra I

LV: 19201402

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2 SWS

Alexander Schmitt

Practice seminar

Submod: 0084aA2.1.2

Akt: 13.08.2021 12:00

Tue, 12:00 - 14:00 (Virtueller Raum 02)

Wed, 12:00 - 14:00 (Virtueller Raum 20)

Mon, 14:00 - 16:00 (T9/Gr. Hörsaal)

Thu, 14:00 - 16:00 (Virtueller Raum 04)

Additional appointments

Appointment series

Virtueller Raum 02

Alexander Schmitt

einmal, ab 13.04.2021, 12:00 - 14:00 (14 Termine)

Virtueller Raum 20

Alexander Schmitt

einmal, ab 14.04.2021, 12:00 - 14:00 (14 Termine)

T9/Gr. Hörsaal

Alexander Schmitt

einmal, ab 12.04.2021, 14:00 - 16:00 (13 Termine)

Virtueller Raum 04

Alexander Schmitt

einmal, ab 15.04.2021, 14:00 - 16:00 (13 Termine)

Module: Computerorientierte Mathematik II (0084cA1.7)

Computer-oriented Mathematics II

LV: 19211901

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2 SWS

Ralf Kornhuber

Christof Schütte

Lecture

Submod: 0084aA3.2.1

Akt: 19.05.2021 14:00

Fri, 12:00 - 14:00 (Virtueller Raum 05)

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

Virtueller Raum 05

Ralf Kornhuber

Christof Schütte

einmal, ab 16.04.2021, 12:00 - 14:00 (14 Termine)

Practice seminar for Computer-oriented Mathematics II

LV: 19211902

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2 SWS

Lasse Hinrichsen-Bischoff

Practice seminar

Submod: 0084aA3.2.2

Akt: 09.03.2021 22:00

Tue, 12:00 - 14:00 (Virtueller Raum 04)

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

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

Thu, 14:00 - 16:00 (Virtueller Raum 08)

Wed, 16:00 - 18:00 (A3/Hs 001 Hörsaal)

Tue, 16:00 - 18:00 (Virtueller Raum 15)

Thu, 12:00 - 14:00 (Virtueller Raum 06)

Mon, 14:00 - 16:00 (Virtueller Raum 04)

Additional appointments

Appointment series

Virtueller Raum 04

Lasse Hinrichsen-Bischoff

einmal, ab 13.04.2021, 12:00 - 14:00 (14 Termine)

A3/019 Seminarraum

Lasse Hinrichsen-Bischoff

einmal, ab 14.04.2021, 10:00 - 12:00 (14 Termine)

A3/Hs 001 Hörsaal

Lasse Hinrichsen-Bischoff

einmal, ab 14.04.2021, 08:00 - 10:00 (14 Termine)

Virtueller Raum 08

Lasse Hinrichsen-Bischoff

einmal, ab 15.04.2021, 14:00 - 16:00 (13 Termine)

A3/Hs 001 Hörsaal

Lasse Hinrichsen-Bischoff

einmal, ab 14.04.2021, 16:00 - 18:00 (14 Termine)

Virtueller Raum 15

Lasse Hinrichsen-Bischoff

einmal, ab 13.04.2021, 16:00 - 18:00 (14 Termine)

Virtueller Raum 06

Lasse Hinrichsen-Bischoff

einmal, ab 15.04.2021, 12:00 - 14:00 (13 Termine)

Virtueller Raum 04

Lasse Hinrichsen-Bischoff

einmal, ab 12.04.2021, 14:00 - 16:00 (13 Termine)

Module: Analysis II (0084cA1.2)

Analysis II

LV: 19211601

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4 SWS

Carsten Gräser

Lecture

Submod: 0084cA1.2.1

Akt: 14.04.2021 14:00

Tue, 10:00 - 12:00 (Virtueller Raum 04)

Thu, 10:00 - 12:00 (Virtueller Raum 04)

Description

Inhalt

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.
Iterierte Integrale.
Gewöhnliche Differentialgleichungen.

Homepage: Alle aktuellen Informationen zu Vorlesung und Übungen

References

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

Additional appointments

Appointment series

Virtueller Raum 04

Carsten Gräser

einmal, ab 13.04.2021, 10:00 - 12:00 (14 Termine)

Virtueller Raum 04

Carsten Gräser

einmal, ab 15.04.2021, 10:00 - 12:00 (13 Termine)

Practice seminar for Analysis II

LV: 19211602

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2 SWS

Carsten Gräser

Practice seminar

Submod: 0084cA1.2.2

Akt: 14.04.2021 14:00

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

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

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

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

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

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

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

Additional appointments

Appointment series

Virtueller Raum 01

Carsten Gräser

einmal, ab 12.04.2021, 10:00 - 12:00 (13 Termine)

A6/SR 032 Seminarraum

Carsten Gräser

einmal, ab 14.04.2021, 10:00 - 12:00 (14 Termine)

A6/SR 031 Seminarraum

Carsten Gräser

einmal, ab 14.04.2021, 14:00 - 16:00 (14 Termine)

A6/SR 032 Seminarraum

Carsten Gräser

einmal, ab 14.04.2021, 08:00 - 10:00 (14 Termine)

A6/SR 031 Seminarraum

Carsten Gräser

einmal, ab 14.04.2021, 10:00 - 12:00 (14 Termine)

A6/SR 032 Seminarraum

Carsten Gräser

einmal, ab 14.04.2021, 14:00 - 16:00 (14 Termine)

A6/SR 031 Seminarraum

Carsten Gräser

einmal, ab 14.04.2021, 08:00 - 10:00 (14 Termine)

Module: Lineare Algebra II (0084cA1.5)

Linear Algebra II

LV: 19211701

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4 SWS

Alexandru Constantinescu

Lecture

Submod: 0084cA1.5.1

Akt: 14.04.2021 16:00

Mon, 08:00 - 10:00 (Hs A (Raum B.006, 200 Pl.))

Tue, 08:00 - 10:00 (Hs A (Raum B.006, 200 Pl.))

Description

Contents:

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

Prerequisites: Linear Algebra I

Literature:

Will be mentioned in the lecture.

Additional information

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

Additional appointments

Appointment series

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

Alexandru Constantinescu

einmal, ab 12.04.2021, 08:00 - 10:00 (13 Termine)

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

Alexandru Constantinescu

einmal, ab 13.04.2021, 08:00 - 10:00 (14 Termine)

Practice seminar for Linear Algebra II

LV: 19211702

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2 SWS

Alexandru Constantinescu

Practice seminar

Submod: 0084cA1.5.2

Akt: 14.04.2021 16:00

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

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

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

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

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

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

Fri, 14:00 - 16:00 (Virtueller Raum 07)

Additional appointments

Appointment series

A3/Hs 001 Hörsaal

Alexandru Constantinescu

einmal, ab 14.04.2021, 14:00 - 16:00 (14 Termine)

A6/SR 032 Seminarraum

Alexandru Constantinescu

einmal, ab 16.04.2021, 16:00 - 18:00 (14 Termine)

A3/Hs 001 Hörsaal

Alexandru Constantinescu

einmal, ab 14.04.2021, 12:00 - 14:00 (14 Termine)

A6/SR 031 Seminarraum

Alexandru Constantinescu

einmal, ab 16.04.2021, 16:00 - 18:00 (14 Termine)

A6/SR 031 Seminarraum

Alexandru Constantinescu

einmal, ab 16.04.2021, 08:00 - 10:00 (14 Termine)

A6/SR 032 Seminarraum

Alexandru Constantinescu

einmal, ab 16.04.2021, 08:00 - 10:00 (14 Termine)

Virtueller Raum 07

Alexandru Constantinescu

einmal, ab 16.04.2021, 14:00 - 16:00 (14 Termine)

Module: Numerical Mathematics I (0084cA1.9)

Numerics I

LV: 19212001

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4 SWS

Péter Koltai

Lecture

Submod: 0084aA4.1.1

Akt: 19.07.2021 11:09

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

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

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

Numerik I

A3/Hs 001 Hörsaal

Péter Koltai

15.07.2021 08:00 - 10:00

Klausur

A6/SR 032 Seminarraum

Péter Koltai

31.08.2021 08:00 - 10:00

Appointment series

Virtueller Raum 24

Péter Koltai

einmal, ab 13.04.2021, 08:00 - 10:00 (14 Termine)

Virtueller Raum 24

Péter Koltai

einmal, ab 15.04.2021, 08:00 - 10:00 (13 Termine)

Practice seminar for Numerics I

LV: 19212002

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2 SWS

Péter Koltai

Gottfried Hastermann

Practice seminar

Submod: 0084aA4.1.2

Akt: 20.07.2021 16:00

Mon, 10:00 - 12:00 (Virtueller Raum 22)

Thu, 16:00 - 18:00 (Virtueller Raum 22)

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

Wed, 10:00 - 12:00 (Virtueller Raum 22)

Additional appointments

Appointment series

Virtueller Raum 22

Péter Koltai

Gottfried Hastermann

einmal, ab 12.04.2021, 10:00 - 12:00 (13 Termine)

Virtueller Raum 22

Péter Koltai

Gottfried Hastermann

einmal, ab 15.04.2021, 16:00 - 18:00 (13 Termine)

Virtueller Raum 28

Péter Koltai

Gottfried Hastermann

einmal, ab 16.04.2021, 10:00 - 12:00 (14 Termine)

Virtueller Raum 22

Péter Koltai

Gottfried Hastermann

einmal, ab 14.04.2021, 10:00 - 12:00 (14 Termine)

Mathematics (0084d_k120)

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

Chemical and Metabolic Networks

LV: 19202911

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2 SWS

Bernold Fiedler

Isabelle Schneider

Seminar

Submod: 0084cB1.1.1

Akt: 25.03.2021 12:00

Wed, 10:00 - 12:00 (Virtueller Raum 25)

Description

Additional information

Zielgruppe: Studierende der Semester 4-6

Additional appointments

Appointment series

Virtueller Raum 25

Bernold Fiedler

Isabelle Schneider

einmal, ab 14.04.2021, 10:00 - 12:00 (14 Termine)

Proseminar/Seminar on Algebra - Symmetries

LV: 19203017

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2 SWS

Gabriel James Angelini-Knoll

Seminar / Undergraduate Course

Submod: 0084cB1.1.1

Akt: 09.03.2021 22:00

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

Description

Further information can be found on the homepage of the Pro-/Seminar.

References

Literature will be given at the beginning of the Pro-/Seminar or can be found on the Homepage.

Additional information

Additional appointments

Appointment series

Virtueller Raum 29

Gabriel James Angelini-Knoll

einmal, ab 14.04.2021, 10:00 - 12:00 (14 Termine)

Proseminar/Seminar zur diskreten Mathematik

LV: 19203611

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2 SWS

Matthias Beck

Sophie Rehberg

Seminar

Submod: 0084cB1.1.1

Akt: 09.03.2021 22:00

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

Seminar zur Visualisierung

LV: 19212411

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2 SWS

Konrad Polthier

Henriette-Sophie Lipschütz

Seminar

Submod: 0084cB1.1.1

Akt: 09.03.2021 22:00

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

Description

Based on selected research literature, the students work out a relevant topic in visualization and computer graphics.

Usually, research articles are distributed which will be read, understood, presented, and illustrated with examples independently.

Therefore, own illustrations or implementations of the central algorithms can be used.

Every participant prepares a talk of maximally 90 minutes length containing discussion and questions.

Further, every participant writes a preparation to explain the content of the talk in detail and to summarize the topic in a structured way.

Topics are chosen from the following areas:

- general techniques in visualization

- visualization of vector fields

- rendering

- image processing

- smoothing of geometries

- discrete methods on 3D models

- animation

Additional appointments

Appointment series

Virtueller Raum 27

Konrad Polthier

Henriette-Sophie Lipschütz

einmal, ab 13.04.2021, 14:00 - 16:00 (14 Termine)

Mathematical Writing

LV: 19213710

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2 SWS

Christian Haase

Matthias Beck

Proseminar

Submod: 0084cB1.1.1

Akt: 29.04.2021 18:00

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

Description

Additional appointments

Appointment series

A6/SR 025/026 Seminarraum

Christian Haase

Matthias Beck

einmal, ab 14.04.2021, 12:00 - 14:00 (14 Termine)

Seminar Multiscale Methods in Molecular Simulations

LV: 19226511

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2 SWS

Luigi Delle Site

Seminar

Submod: 0084dB1.1.1

Akt: 09.03.2021 22:00

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

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

Virtueller Raum 29

Luigi Delle Site

einmal, ab 14.04.2021, 12:00 - 14:00 (14 Termine)

Cap Stone Seminar

LV: 19243206

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2 SWS

Christian Haase

Matthias Beck

Seminar-style instruction

Submod: 0084dB1.1.1

Akt: 09.03.2021 22:00

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

Topics in computational dynamics

LV: 19244311

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2 SWS

Péter Koltai

Maximilian Engel

Seminar

Submod: 0084dB1.1.1

Akt: 19.05.2021 18:00

Thu, 16:00 - 17:30 (Virtueller Raum 23)

Description

Various objects central to the characterisation and analysis of possibly complex dynamical systems cannot be computed with pen and paper, and need to be approximated numerically. They include chaotic attractors, fractals, Lyapunov exponents, basins of attraction, bifurcation diagrams, and persistent modes, just to name a few. In this seminar we are going to review such topics by discussing key notions of the corresponding theory that are then applied to celebrated examples such as the Lorenz attractor or the Feigenbaum diagram, involving numerical linear algebra and methods for differential equations.

For topic allocation for a presentation early in the semester, please contact the lecturers well ahead of time.

Additional appointments

Appointment series

Virtueller Raum 23

Péter Koltai

Maximilian Engel

einmal, ab 15.04.2021, 16:00 - 17:30 (13 Termine)

Module: Complex Analysis (0084dB2.3)

Theory of Functions

LV: 19212801

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4 SWS

Konrad Polthier

Lecture

Submod: 0084cB2.3.1

Akt: 09.04.2021 19:19

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

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

Description

References

Literatur:

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

Additional appointments

Appointment series

Virtueller Raum 26

Konrad Polthier

einmal, ab 13.04.2021, 10:00 - 12:00 (14 Termine)

Virtueller Raum 26

Konrad Polthier

einmal, ab 15.04.2021, 10:00 - 12:00 (13 Termine)

Practice seminar for Theory of Functions

LV: 19212802

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2 SWS

Konrad Polthier

Henriette-Sophie Lipschütz

Practice seminar

Submod: 0084cB2.3.2

Akt: 24.03.2021 09:45

Mon, 08:00 - 10:00 (Virtueller Raum 25)

Module: Stochastics II (0084dB2.4)

Stochastics II

LV: 19212901

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4 SWS

Felix Höfling

Lecture

Submod: 0084aC7.2.1

Akt: 01.07.2021 16:00

Mon, 12:00 - 14:00 (T9/Gr. Hörsaal)

Thu, 14:00 - 16:00 (T9/Gr. Hörsaal)

Description

Contents:

Construction of stochastic processes;
conditional expectation;
martingales and Markov chains in discrete time;
weak convergence;
first time-continuous processes (in particular Brownian motion)

Additional information

Prerequisite: Stochastics I and Analysis I — III.

Additional appointments

Stochastik II - Klausur 2

A6/SR 031 Seminarraum

Felix Höfling

21.07.2021 14:00 - 16:00

Stochastik II - zweite Klausur

A6/SR 031 Seminarraum

Felix Höfling

12.10.2021 10:00 - 14:00

Appointment series

T9/Gr. Hörsaal

Felix Höfling

einmal, ab 12.04.2021, 12:00 - 14:00 (13 Termine)

T9/Gr. Hörsaal

Felix Höfling

einmal, ab 15.04.2021, 14:00 - 16:00 (13 Termine)

Practice seminar for Stochastics II

LV: 19212902

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2 SWS

Felix Höfling

Practice seminar

Submod: 0084aC7.2.2

Akt: 09.03.2021 22:00

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

Appointment series

A6/SR 031 Seminarraum

Felix Höfling

einmal, ab 14.04.2021, 16:00 - 18:00 (14 Termine)

Module: Geometry (0084dB2.7)

Geometry

LV: 19213101

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4 SWS

Christian Haase

Lecture

Submod: 0084cB2.6.1

Akt: 06.09.2021 10:00

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

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

Description

Inhalt

Sie behandelt grundlegende Modelle der Geometrie, insbesondere

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

References

Literatur

Marcel Berger. Geometry I
David A. Brannan, Matthew F. Esplen, and Jeremy J. Gray. Geometry
Gerd Fischer. Analytische Geometrie
V.V. Prasolov und V.M. Tikhomirov. Geometry

Additional appointments

Fragestunde

A3/Hs 001 Hörsaal

Christian Haase

22.07.2021 16:00 - 18:00

Klausur

HFB/C Hörsaal

Christian Haase

19.08.2021 10:00 - 12:00

Fragestunde/Klausreinsicht

A3/Hs 001 Hörsaal

Christian Haase

08.09.2021 16:00 - 18:00

Nachklausur

A6/SR 031 Seminarraum

Christian Haase

08.10.2021 10:00 - 12:00

Appointment series

Virtueller Raum 26

Christian Haase

einmal, ab 12.04.2021, 10:00 - 12:00 (13 Termine)

A3/Hs 001 Hörsaal

Christian Haase

einmal, ab 15.04.2021, 12:00 - 14:00 (14 Termine)

Practice seminar for Geometry

LV: 19213102

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2 SWS

Christian Haase

Jonathan Kliem

Practice seminar

Submod: 0084cB2.6.2

Akt: 27.04.2021 10:00

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

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

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

Mathematics of Sustainability

LV: 19244511

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2 SWS

Sarah Wolf

Seminar

Submod: 0084dB2.10.1

Akt: 28.04.2021 12:50

Tue, 16:00 - 17:30 (A6/SR 007/008 Seminarraum)

Module: Discrete Mathematics I (0084dB3.2)

Discrete Mathematics I

LV: 19214701

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4 SWS

Ralf Borndörfer

Lecture

Submod: 0084aC3.1.1

Akt: 11.10.2021 14:37

Wed, 14:00 - 16:00 (Virtueller Raum 24)

Tue, 14:00 - 16:00 (Virtueller Raum 24)

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)

References

J. Matousek, J. Nesetril (2002/2007): An Invitation to Discrete Mathematics, Oxford University Press, Oxford/Diskrete Mathematik, Springer Verlag, Berlin, Heidelberg.
L. Lovasz, J. Pelikan, K. Vesztergombi (2003): Discrete Mathemtics - Elementary and Beyond/Diskrete Mathematik, Springer Verlag, New York.
N. Biggs (2004): Discrete Mathematics. Oxford University Press, Oxford.
M. Aigner (2004/2007): Diskrete Mathematik, Vieweg Verlag, Wiesbaden/Discrete Mathemattics, American Mathematical Society, USA.
D. West (2011): Introduction to Graph Theory. Pearson Education, New York.

Additional information

Target group:

BMS students, Master and Bachelor students

Additional appointments

Klausur

Hs 1a Hörsaal

Ralf Borndörfer

14.07.2021 14:00 - 16:00

Nacklausur

Hs 1a Hörsaal

Ralf Borndörfer

13.10.2021 10:00 - 13:00

Klausureinsichttermin

A6/SR 032 Seminarraum

Ralf Borndörfer

22.10.2021 16:00 - 17:00

Appointment series

Virtueller Raum 24

Ralf Borndörfer

einmal, ab 14.04.2021, 14:00 - 16:00 (14 Termine)

Virtueller Raum 24

Ralf Borndörfer

einmal, ab 13.04.2021, 14:00 - 16:00 (14 Termine)

Practice seminar for Discrete Mathematics I

LV: 19214702

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2 SWS

Ralf Borndörfer

Practice seminar

Submod: 0084aC3.1.2

Akt: 01.12.2021 14:00

Wed, 08:00 - 10:00 (Virtueller Raum 06)

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

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

Virtueller Raum 06

Ralf Borndörfer

einmal, ab 14.04.2021, 08:00 - 10:00 (14 Termine)

Virtueller Raum 25

Ralf Borndörfer

einmal, ab 13.04.2021, 16:00 - 18:00 (14 Termine)

Module: Topology I (0084dB3.6)

Basismodul: Topologie I

LV: 19205401

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4 SWS

Pavle Blagojevic

Lecture

Submod: 0084dB3.6.1

Akt: 09.03.2021 22:00

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

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

Description

Course Overview
This is a beginning course from the series of three courses Topology I—III:

Basic notions: topological spaces, continuous maps, connectedness, compactness, products, coproducts, quotients.
Groups acting on topological spaces
Gluing constructions.
Homotopies between continuous maps, degree of a map, fundamental group.
Seifert-van Kampen Theorem.
Covering spaces.

References

Literature:

Tammo tom Dieck: Topologie, De Gruyter Lehrbuch
Allen Hatcher: Algebraic Topology, Chapter I. Also available online from the author's website
Klaus Jänich: Topologie, Springer-Verlag
Gerd Laures, Markus Szymik: Grundkurs Topologie, Spektrum Akademischer Verlag
James R. Munkres: Topology, Prentice Hall

Additional appointments

Appointment series

Virtueller Raum 23

Pavle Blagojevic

einmal, ab 15.04.2021, 12:00 - 14:00 (13 Termine)

Virtueller Raum 23

Pavle Blagojevic

einmal, ab 14.04.2021, 12:00 - 14:00 (14 Termine)

Übung zu Basismodul: Topologie I

LV: 19205402

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2 SWS

Pavle Blagojevic

Practice seminar

Submod: 0084dB3.6.2

Akt: 20.04.2021 12:00

Fri, 10:00 - 12:00 (Virtueller Raum 27)

Module: Analysis I (0084dA1.1)

Analysis I

LV: 19202801

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4 SWS

Kivanc Ersoy

Lecture

Submod: 0084aA1.1.1

Akt: 28.09.2021 15:42

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

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

Description

Content: This is the first part of a three semester introduction into the basic mathematical field of Analysis. Differential and integral calculus in a real variable will be covered.
Topics:

fundamentals, elementary logic, ordered pairs, relations, functions, domain and range of a function, inverse functions (injectivity, surjectivity)
numbers, induction, calculations in R, C
arrangement of R, maximum and minimum, supremum and infimum of real sets, supremum / infimum completeness of R, absolute value of a real number, Q is dense in R
sequences and series, limits, cauchy sequences, convergence criteria, series and basic principles of convergence
topological aspects of R, open, closed, and compact real sets
sequences of functions, series of functions, power series
properties of functions, boundedness, monotony, convexity
continuity, limits and continuity of functions, uniform continuity, intermediate value theorems, continuity and compactness
differentiability, concept of the derivative, differentiation rules, mean value theorem, local and global extrema, curvature, monotony, convexity
elementary functions, rational functions, root functions, exponential functions, angular functions, hyperbolic functions, real logarithm, inverse trigonometric functions, curve sketching
beginnings of integral calculus

Detailed Information can be found on the Homepage of 19202801 Analysis I.

References

Literature:

Bröcker, Theodor: Analysis 1, Spektrum der Wissenschaft-Verlag.
Forster, Otto: Analysis 1, Vieweg-Verlag.
Spivak, Michael: Calculus, 4th Edition.

Viele Analysis Bücher sind auch über die Fachbibliothek der FU Berlin elektronisch verfügbar.

Bei Schwierigkeiten mit den Grundbegriffen Menge, Abbildung etc. ist die folgende Ausarbeitung empfehlenswert:

Scheerer, Hans: Brückenkurs, Skript FU Berlin 2006.

Additional appointments

Klausur

Virtueller Raum 02

Kivanc Ersoy

08.07.2021 10:00 - 12:00

Nachklausur

T9/Gr. Hörsaal

Kivanc Ersoy

05.10.2021 14:00 - 16:00

Appointment series

Virtueller Raum 05

Kivanc Ersoy

einmal, ab 15.04.2021, 10:00 - 12:00 (12 Termine)

Virtueller Raum 05

Kivanc Ersoy

einmal, ab 13.04.2021, 10:00 - 12:00 (14 Termine)

Practice seminar for Analysis I

LV: 19202802

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2 SWS

Kivanc Ersoy

Immanuel Zachhuber

Practice seminar

Submod: 0084aA1.1.2

Akt: 09.03.2021 22:00

Fri, 14:00 - 16:00 (KöLu24-26/SR 006 Neuro/Mathe)

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

Thu, 08:00 - 10:00 (Virtueller Raum 07)

Wed, 14:00 - 16:00 (Virtueller Raum 20)

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

Additional appointments

Appointment series

KöLu24-26/SR 006 Neuro/Mathe

Kivanc Ersoy

Immanuel Zachhuber

einmal, ab 16.04.2021, 14:00 - 16:00 (14 Termine)

A6/SR 031 Seminarraum

Kivanc Ersoy

Immanuel Zachhuber

einmal, ab 13.04.2021, 16:00 - 18:00 (14 Termine)

Virtueller Raum 07

Kivanc Ersoy

Immanuel Zachhuber

einmal, ab 15.04.2021, 08:00 - 10:00 (13 Termine)

Virtueller Raum 20

Kivanc Ersoy

Immanuel Zachhuber

einmal, ab 14.04.2021, 14:00 - 16:00 (14 Termine)

KöLu24-26/SR 006 Neuro/Mathe

Kivanc Ersoy

Immanuel Zachhuber

einmal, ab 12.04.2021, 16:00 - 18:00 (13 Termine)

Module: Analysis II (0084dA1.2)

Analysis II

LV: 19211601

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4 SWS

Carsten Gräser

Lecture

Submod: 0084cA1.2.1

Akt: 14.04.2021 14:00

Tue, 10:00 - 12:00 (Virtueller Raum 04)

Thu, 10:00 - 12:00 (Virtueller Raum 04)

Description

Inhalt

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.
Iterierte Integrale.
Gewöhnliche Differentialgleichungen.

Homepage: Alle aktuellen Informationen zu Vorlesung und Übungen

References

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

Additional appointments

Appointment series

Virtueller Raum 04

Carsten Gräser

einmal, ab 13.04.2021, 10:00 - 12:00 (14 Termine)

Virtueller Raum 04

Carsten Gräser

einmal, ab 15.04.2021, 10:00 - 12:00 (13 Termine)

Practice seminar for Analysis II

LV: 19211602

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2 SWS

Carsten Gräser

Practice seminar

Submod: 0084cA1.2.2

Akt: 14.04.2021 14:00

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

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

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

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

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

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

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

Additional appointments

Appointment series

Virtueller Raum 01

Carsten Gräser

einmal, ab 12.04.2021, 10:00 - 12:00 (13 Termine)

A6/SR 032 Seminarraum

Carsten Gräser

einmal, ab 14.04.2021, 10:00 - 12:00 (14 Termine)

A6/SR 031 Seminarraum

Carsten Gräser

einmal, ab 14.04.2021, 14:00 - 16:00 (14 Termine)

A6/SR 032 Seminarraum

Carsten Gräser

einmal, ab 14.04.2021, 08:00 - 10:00 (14 Termine)

A6/SR 031 Seminarraum

Carsten Gräser

einmal, ab 14.04.2021, 10:00 - 12:00 (14 Termine)

A6/SR 032 Seminarraum

Carsten Gräser

einmal, ab 14.04.2021, 14:00 - 16:00 (14 Termine)

A6/SR 031 Seminarraum

Carsten Gräser

einmal, ab 14.04.2021, 08:00 - 10:00 (14 Termine)

Module: Linear Algebra I (0084dA1.4)

Linear Algebra I

LV: 19201401

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4 SWS

Alexander Schmitt

Lecture

Submod: 0084aA2.1.1

Akt: 13.09.2021 17:24

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

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

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.

Website: http://userpage.fu-berlin.de/~aschmitt/LAI21.html

References

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

Zu den Grundlagen

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

Additional appointments

Lineare Algebra I

A3/Hs 001 Hörsaal

Alexander Schmitt

27.09.2021 12:00 - 18:00

Appointment series

Virtueller Raum 05

Alexander Schmitt

einmal, ab 14.04.2021, 08:00 - 10:00 (14 Termine)

Virtueller Raum 05

Alexander Schmitt

einmal, ab 12.04.2021, 08:00 - 10:00 (13 Termine)

Practice seminar for Linear Algebra I

LV: 19201402

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2 SWS

Alexander Schmitt

Practice seminar

Submod: 0084aA2.1.2

Akt: 13.08.2021 12:00

Tue, 12:00 - 14:00 (Virtueller Raum 02)

Wed, 12:00 - 14:00 (Virtueller Raum 20)

Mon, 14:00 - 16:00 (T9/Gr. Hörsaal)

Thu, 14:00 - 16:00 (Virtueller Raum 04)

Additional appointments

Appointment series

Virtueller Raum 02

Alexander Schmitt

einmal, ab 13.04.2021, 12:00 - 14:00 (14 Termine)

Virtueller Raum 20

Alexander Schmitt

einmal, ab 14.04.2021, 12:00 - 14:00 (14 Termine)

T9/Gr. Hörsaal

Alexander Schmitt

einmal, ab 12.04.2021, 14:00 - 16:00 (13 Termine)

Virtueller Raum 04

Alexander Schmitt

einmal, ab 15.04.2021, 14:00 - 16:00 (13 Termine)

Module: Linear Algebra II (0084dA1.5)

Linear Algebra II

LV: 19211701

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4 SWS

Alexandru Constantinescu

Lecture

Submod: 0084cA1.5.1

Akt: 14.04.2021 16:00

Mon, 08:00 - 10:00 (Hs A (Raum B.006, 200 Pl.))

Tue, 08:00 - 10:00 (Hs A (Raum B.006, 200 Pl.))

Description

Contents:

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

Prerequisites: Linear Algebra I

Literature:

Will be mentioned in the lecture.

Additional information

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

Additional appointments

Appointment series

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

Alexandru Constantinescu

einmal, ab 12.04.2021, 08:00 - 10:00 (13 Termine)

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

Alexandru Constantinescu

einmal, ab 13.04.2021, 08:00 - 10:00 (14 Termine)

Practice seminar for Linear Algebra II

LV: 19211702

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2 SWS

Alexandru Constantinescu

Practice seminar

Submod: 0084cA1.5.2

Akt: 14.04.2021 16:00

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

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

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

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

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

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

Fri, 14:00 - 16:00 (Virtueller Raum 07)

Additional appointments

Appointment series

A3/Hs 001 Hörsaal

Alexandru Constantinescu

einmal, ab 14.04.2021, 14:00 - 16:00 (14 Termine)

A6/SR 032 Seminarraum

Alexandru Constantinescu

einmal, ab 16.04.2021, 16:00 - 18:00 (14 Termine)

A3/Hs 001 Hörsaal

Alexandru Constantinescu

einmal, ab 14.04.2021, 12:00 - 14:00 (14 Termine)

A6/SR 031 Seminarraum

Alexandru Constantinescu

einmal, ab 16.04.2021, 16:00 - 18:00 (14 Termine)

A6/SR 031 Seminarraum

Alexandru Constantinescu

einmal, ab 16.04.2021, 08:00 - 10:00 (14 Termine)

A6/SR 032 Seminarraum

Alexandru Constantinescu

einmal, ab 16.04.2021, 08:00 - 10:00 (14 Termine)

Virtueller Raum 07

Alexandru Constantinescu

einmal, ab 16.04.2021, 14:00 - 16:00 (14 Termine)

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

Computer-oriented Mathematics II

LV: 19211901

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2 SWS

Ralf Kornhuber

Christof Schütte

Lecture

Submod: 0084aA3.2.1

Akt: 19.05.2021 14:00

Fri, 12:00 - 14:00 (Virtueller Raum 05)

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

Virtueller Raum 05

Ralf Kornhuber

Christof Schütte

einmal, ab 16.04.2021, 12:00 - 14:00 (14 Termine)

Practice seminar for Computer-oriented Mathematics II

LV: 19211902

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2 SWS

Lasse Hinrichsen-Bischoff

Practice seminar

Submod: 0084aA3.2.2

Akt: 09.03.2021 22:00

Tue, 12:00 - 14:00 (Virtueller Raum 04)

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

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

Thu, 14:00 - 16:00 (Virtueller Raum 08)

Wed, 16:00 - 18:00 (A3/Hs 001 Hörsaal)

Tue, 16:00 - 18:00 (Virtueller Raum 15)

Thu, 12:00 - 14:00 (Virtueller Raum 06)

Mon, 14:00 - 16:00 (Virtueller Raum 04)

Additional appointments

Appointment series

Virtueller Raum 04

Lasse Hinrichsen-Bischoff

einmal, ab 13.04.2021, 12:00 - 14:00 (14 Termine)

A3/019 Seminarraum

Lasse Hinrichsen-Bischoff

einmal, ab 14.04.2021, 10:00 - 12:00 (14 Termine)

A3/Hs 001 Hörsaal

Lasse Hinrichsen-Bischoff

einmal, ab 14.04.2021, 08:00 - 10:00 (14 Termine)

Virtueller Raum 08

Lasse Hinrichsen-Bischoff

einmal, ab 15.04.2021, 14:00 - 16:00 (13 Termine)

A3/Hs 001 Hörsaal

Lasse Hinrichsen-Bischoff

einmal, ab 14.04.2021, 16:00 - 18:00 (14 Termine)

Virtueller Raum 15

Lasse Hinrichsen-Bischoff

einmal, ab 13.04.2021, 16:00 - 18:00 (14 Termine)

Virtueller Raum 06

Lasse Hinrichsen-Bischoff

einmal, ab 15.04.2021, 12:00 - 14:00 (13 Termine)

Virtueller Raum 04

Lasse Hinrichsen-Bischoff

einmal, ab 12.04.2021, 14:00 - 16:00 (13 Termine)

Module: Numerics I (0084dA1.9)

Numerics I

LV: 19212001

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4 SWS

Péter Koltai

Lecture

Submod: 0084aA4.1.1

Akt: 19.07.2021 11:09

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

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

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

Numerik I

A3/Hs 001 Hörsaal

Péter Koltai

15.07.2021 08:00 - 10:00

Klausur

A6/SR 032 Seminarraum

Péter Koltai

31.08.2021 08:00 - 10:00

Appointment series

Virtueller Raum 24

Péter Koltai

einmal, ab 13.04.2021, 08:00 - 10:00 (14 Termine)

Virtueller Raum 24

Péter Koltai

einmal, ab 15.04.2021, 08:00 - 10:00 (13 Termine)

Practice seminar for Numerics I

LV: 19212002

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2 SWS

Péter Koltai

Gottfried Hastermann

Practice seminar

Submod: 0084aA4.1.2

Akt: 20.07.2021 16:00

Mon, 10:00 - 12:00 (Virtueller Raum 22)

Thu, 16:00 - 18:00 (Virtueller Raum 22)

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

Wed, 10:00 - 12:00 (Virtueller Raum 22)

Additional appointments

Appointment series

Virtueller Raum 22

Péter Koltai

Gottfried Hastermann

einmal, ab 12.04.2021, 10:00 - 12:00 (13 Termine)

Virtueller Raum 22

Péter Koltai

Gottfried Hastermann

einmal, ab 15.04.2021, 16:00 - 18:00 (13 Termine)

Virtueller Raum 28

Péter Koltai

Gottfried Hastermann

einmal, ab 16.04.2021, 10:00 - 12:00 (14 Termine)

Virtueller Raum 22

Péter Koltai

Gottfried Hastermann

einmal, ab 14.04.2021, 10:00 - 12:00 (14 Termine)

Master's programme in Mathematics

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

Module: "Special Module ""Differential Equations III""" (0280aA1.3)

Dynamical Systems 3: Bifurcation Theory

LV: 19215701

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2 SWS

Bernold Fiedler

Lecture

Submod: 0280aA1.3.1

Akt: 18.03.2021 18:42

Tue, 10:00 - 12:00 (Virtueller Raum 24)

Description

Bifurcation theory is the study of qualitative changes of the dynamics as a parameter of the system varies. We will focus on local bifurcations for vector fields. A typical situation is when the vector field admits an equilibrium where nonzero eigenvalues of the linearization cross the imaginary axis as the parameter varies. This leads to Hopf bifurcation: the appearance of periodic oscillations around the equiibrium. Other invariant sets and heteroclinic connections, however, might also arise nearby. We will explore the bifurcation zoo and illustrate the theory by examples coming from physics, biology and other fields of applications.

See also the lecture "Dynamical Systems 3 - Paralipomena".
Prerequisites are Dynamical Systems 1 and/or 2.

References

K.T. Alligood, T.D. Sauer and J.A. Yorke: Chaos, Springer, 1997.
H. Amann: Ordinary Differential Equations, de Gruyter, 1990.
V.I. Arnold: Ordinary Differential Equations, Springer, 2001.
V.I. Arnold: Geometrical Methods in the Theory of Ordinary Differential Equations, Springer, 1988.
W.E. Boyce and R.C. DiPrima: Elementary Differential Equations and Boundary Value Problems, Wiley, 5th edition, 1992.
S.-N. Chow and J.K. Hale: Methods of Bifurcation Theory, Springer, 1982.
E.A. Coddington and N. Levinson: Theory of ordinary differential equations, McGill-Hill, 1955.
P. Collet and J.-P. Eckmann: Concepts and Results in Chaotic Dynamics. A Short Course, Springer, 2006.
R. Devaney, M.W. Hirsch and S. Smale: Differential Equations, Dynamical Systems, and an Introduction to Chaos, Academic Press, 2003.
(This is the updated version of
M.W. Hirsch and S. Smale: Differential Equations, Dynamical Systems, and Linear Algebra, Academic Press, 1974.)
Dynamical Systems I, D.K. Anosov and V.I. Arnold (eds.), Encyclopaedia of Mathematical Sciences Vol 1, Springer, 1988.
J. Hale: Ordinary Differential Equations, Wiley, 1969.
B. Hasselblatt, A. Katok: A First Course in Dynamics, Cambridge 2003.
P. Hartmann: Ordinary Differential Equations, Wiley, 1964.
A. Katok, B. Hasselblatt: Introduction to the Modern Theory of Dynamical Systems, Cambridge 1997.
F. Verhulst: Nonlinear Differential Equations and Dynamical Systems, Springer, 1996.

Additional appointments

Appointment series

Virtueller Raum 24

Bernold Fiedler

einmal, ab 13.04.2021, 10:00 - 12:00 (14 Termine)

Practice seminar for Dynamical Systems 3: Bifurcation Theory

LV: 19215702

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2 SWS

Alejandro Lopez Nieto

Practice seminar

Submod: 0280aA1.3.2

Akt: 09.03.2021 22:00

Wed, 16:00 - 18:00 (Virtueller Raum 22)

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

Discrete Mathematics I

LV: 19214701

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4 SWS

Ralf Borndörfer

Lecture

Submod: 0084aC3.1.1

Akt: 11.10.2021 14:37

Wed, 14:00 - 16:00 (Virtueller Raum 24)

Tue, 14:00 - 16:00 (Virtueller Raum 24)

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)

References

J. Matousek, J. Nesetril (2002/2007): An Invitation to Discrete Mathematics, Oxford University Press, Oxford/Diskrete Mathematik, Springer Verlag, Berlin, Heidelberg.
L. Lovasz, J. Pelikan, K. Vesztergombi (2003): Discrete Mathemtics - Elementary and Beyond/Diskrete Mathematik, Springer Verlag, New York.
N. Biggs (2004): Discrete Mathematics. Oxford University Press, Oxford.
M. Aigner (2004/2007): Diskrete Mathematik, Vieweg Verlag, Wiesbaden/Discrete Mathemattics, American Mathematical Society, USA.
D. West (2011): Introduction to Graph Theory. Pearson Education, New York.

Additional information

Target group:

BMS students, Master and Bachelor students

Additional appointments

Klausur

Hs 1a Hörsaal

Ralf Borndörfer

14.07.2021 14:00 - 16:00

Nacklausur

Hs 1a Hörsaal

Ralf Borndörfer

13.10.2021 10:00 - 13:00

Klausureinsichttermin

A6/SR 032 Seminarraum

Ralf Borndörfer

22.10.2021 16:00 - 17:00

Appointment series

Virtueller Raum 24

Ralf Borndörfer

einmal, ab 14.04.2021, 14:00 - 16:00 (14 Termine)

Virtueller Raum 24

Ralf Borndörfer

einmal, ab 13.04.2021, 14:00 - 16:00 (14 Termine)

Practice seminar for Discrete Mathematics I

LV: 19214702

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2 SWS

Ralf Borndörfer

Practice seminar

Submod: 0084aC3.1.2

Akt: 01.12.2021 14:00

Wed, 08:00 - 10:00 (Virtueller Raum 06)

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

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

Virtueller Raum 06

Ralf Borndörfer

einmal, ab 14.04.2021, 08:00 - 10:00 (14 Termine)

Virtueller Raum 25

Ralf Borndörfer

einmal, ab 13.04.2021, 16:00 - 18:00 (14 Termine)

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

Basic Module: Discrete Geometrie II

LV: 19214901

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4 SWS

Matthias Beck

Lecture

Submod: 0280aA2.2.1

Akt: 09.03.2021 22:00

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

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

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

Appointment series

Virtueller Raum 23

Matthias Beck

einmal, ab 14.04.2021, 10:00 - 12:00 (14 Termine)

Virtueller Raum 23

Matthias Beck

einmal, ab 15.04.2021, 10:00 - 12:00 (13 Termine)

Practice seminar for BasicM: Discrete Geometry II

LV: 19214902

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2 SWS

Sophie Rehberg

Practice seminar

Submod: 0280aA2.2.2

Akt: 09.03.2021 22:00

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

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

Basic Module: Numerics III

LV: 19215201

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4 SWS

Volker John

Lecture

Submod: 0280aA4.2.1

Akt: 13.04.2021 15:00

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

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

Description

The mathematical modeling of many processes in nature and industry leads to partial differential equations. Generally, such equations cannot be solved analytically. It is only possible to compute numerical approximations to the solution on the basis of discretized equations. This course studies discretizations of elliptic partial differential equations. Major topics are finite difference methods and finite element methods.

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 032 Seminarraum

Volker John

einmal, ab 12.04.2021, 10:00 - 12:00 (13 Termine)

A6/SR 032 Seminarraum

Volker John

einmal, ab 12.04.2021, 14:00 - 16:00 (13 Termine)

Practice seminar for Basic Module: Numerics III

LV: 19215202

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2 SWS

Volker John

Felix Henneke

Practice seminar

Submod: 0280aA4.2.2

Akt: 03.08.2021 14:00

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

Module: Advanced Module Topology I (0280aA6.1)

Basismodul: Topologie I

LV: 19205401

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4 SWS

Pavle Blagojevic

Lecture

Submod: 0084dB3.6.1

Akt: 09.03.2021 22:00

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

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

Description

Course Overview
This is a beginning course from the series of three courses Topology I—III:

Basic notions: topological spaces, continuous maps, connectedness, compactness, products, coproducts, quotients.
Groups acting on topological spaces
Gluing constructions.
Homotopies between continuous maps, degree of a map, fundamental group.
Seifert-van Kampen Theorem.
Covering spaces.

References

Literature:

Tammo tom Dieck: Topologie, De Gruyter Lehrbuch
Allen Hatcher: Algebraic Topology, Chapter I. Also available online from the author's website
Klaus Jänich: Topologie, Springer-Verlag
Gerd Laures, Markus Szymik: Grundkurs Topologie, Spektrum Akademischer Verlag
James R. Munkres: Topology, Prentice Hall

Additional appointments

Appointment series

Virtueller Raum 23

Pavle Blagojevic

einmal, ab 15.04.2021, 12:00 - 14:00 (13 Termine)

Virtueller Raum 23

Pavle Blagojevic

einmal, ab 14.04.2021, 12:00 - 14:00 (14 Termine)

Übung zu Basismodul: Topologie I

LV: 19205402

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2 SWS

Pavle Blagojevic

Practice seminar

Submod: 0084dB3.6.2

Akt: 20.04.2021 12:00

Fri, 10:00 - 12:00 (Virtueller Raum 27)

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

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

Basic Module: Algebra II

LV: 19214501

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4 SWS

Alexander Schmitt

Lecture

Submod: 0280bA2.2.1

Akt: 09.03.2021 22:00

Tue, 12:00 - 14:00 (Virtueller Raum 27)

Tue, 16:00 - 18:00 (Virtueller Raum 06)

Description

Details for the course can be found here: http://userpage.fu-berlin.de/~aschmitt/

Additional appointments

Appointment series

Virtueller Raum 27

Alexander Schmitt

einmal, ab 13.04.2021, 12:00 - 14:00 (14 Termine)

Virtueller Raum 06

Alexander Schmitt

einmal, ab 13.04.2021, 16:00 - 18:00 (14 Termine)

Practice seminar for Basic Module: Algebra II

LV: 19214502

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2 SWS

Marwan Benyoussef

Practice seminar

Submod: 0280bA2.2.2

Akt: 09.03.2021 22:00

Mon, 16:00 - 18:00 (Virtueller Raum 27)

Module: Forschungsmodul Algebra (0280bA2.4)

Reseach Module: Algebra

LV: 19214611

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2 SWS

Andrea Petracci

Seminar

Submod: 0280bA2.4.1

Akt: 09.03.2021 22:00

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

Description

Literatur

Wird bekanntgegeben.

Additional information

Target group:

Math students

Prerequisites

Algebra I and II

Homepage: Prof. Altmann

Additional appointments

Appointment series

Virtueller Raum 27

Andrea Petracci

einmal, ab 12.04.2021, 14:00 - 16:00 (13 Termine)

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

Discrete Mathematics I

LV: 19214701

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4 SWS

Ralf Borndörfer

Lecture

Submod: 0084aC3.1.1

Akt: 11.10.2021 14:37

Wed, 14:00 - 16:00 (Virtueller Raum 24)

Tue, 14:00 - 16:00 (Virtueller Raum 24)

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)

References

J. Matousek, J. Nesetril (2002/2007): An Invitation to Discrete Mathematics, Oxford University Press, Oxford/Diskrete Mathematik, Springer Verlag, Berlin, Heidelberg.
L. Lovasz, J. Pelikan, K. Vesztergombi (2003): Discrete Mathemtics - Elementary and Beyond/Diskrete Mathematik, Springer Verlag, New York.
N. Biggs (2004): Discrete Mathematics. Oxford University Press, Oxford.
M. Aigner (2004/2007): Diskrete Mathematik, Vieweg Verlag, Wiesbaden/Discrete Mathemattics, American Mathematical Society, USA.
D. West (2011): Introduction to Graph Theory. Pearson Education, New York.

Additional information

Target group:

BMS students, Master and Bachelor students

Additional appointments

Klausur

Hs 1a Hörsaal

Ralf Borndörfer

14.07.2021 14:00 - 16:00

Nacklausur

Hs 1a Hörsaal

Ralf Borndörfer

13.10.2021 10:00 - 13:00

Klausureinsichttermin

A6/SR 032 Seminarraum

Ralf Borndörfer

22.10.2021 16:00 - 17:00

Appointment series

Virtueller Raum 24

Ralf Borndörfer

einmal, ab 14.04.2021, 14:00 - 16:00 (14 Termine)

Virtueller Raum 24

Ralf Borndörfer

einmal, ab 13.04.2021, 14:00 - 16:00 (14 Termine)

Practice seminar for Discrete Mathematics I

LV: 19214702

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2 SWS

Ralf Borndörfer

Practice seminar

Submod: 0084aC3.1.2

Akt: 01.12.2021 14:00

Wed, 08:00 - 10:00 (Virtueller Raum 06)

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

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

Virtueller Raum 06

Ralf Borndörfer

einmal, ab 14.04.2021, 08:00 - 10:00 (14 Termine)

Virtueller Raum 25

Ralf Borndörfer

einmal, ab 13.04.2021, 16:00 - 18:00 (14 Termine)

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

Basic Module: Discrete Geometrie II

LV: 19214901

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4 SWS

Matthias Beck

Lecture

Submod: 0280aA2.2.1

Akt: 09.03.2021 22:00

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

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

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

Appointment series

Virtueller Raum 23

Matthias Beck

einmal, ab 14.04.2021, 10:00 - 12:00 (14 Termine)

Virtueller Raum 23

Matthias Beck

einmal, ab 15.04.2021, 10:00 - 12:00 (13 Termine)

Practice seminar for BasicM: Discrete Geometry II

LV: 19214902

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2 SWS

Sophie Rehberg

Practice seminar

Submod: 0280aA2.2.2

Akt: 09.03.2021 22:00

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

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

Random Graphs

LV: 19244201

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2 SWS

Michael Anastos

Lecture

Submod: 0280bA3.5.1

Akt: 22.01.2022 17:00

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

Exercises to Random Graphs

LV: 19244202

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2 SWS

Michael Anastos

Practice seminar

Submod: 0280bA3.5.2

Akt: 22.01.2022 17:00

Thu, 10:00 - 12:00 (Virtueller Raum 24)

Module: Basismodul Topologie I (0280bA4.1)

Basismodul: Topologie I

LV: 19205401

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4 SWS

Pavle Blagojevic

Lecture

Submod: 0084dB3.6.1

Akt: 09.03.2021 22:00

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

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

Description

Course Overview
This is a beginning course from the series of three courses Topology I—III:

Basic notions: topological spaces, continuous maps, connectedness, compactness, products, coproducts, quotients.
Groups acting on topological spaces
Gluing constructions.
Homotopies between continuous maps, degree of a map, fundamental group.
Seifert-van Kampen Theorem.
Covering spaces.

References

Literature:

Tammo tom Dieck: Topologie, De Gruyter Lehrbuch
Allen Hatcher: Algebraic Topology, Chapter I. Also available online from the author's website
Klaus Jänich: Topologie, Springer-Verlag
Gerd Laures, Markus Szymik: Grundkurs Topologie, Spektrum Akademischer Verlag
James R. Munkres: Topology, Prentice Hall

Additional appointments

Appointment series

Virtueller Raum 23

Pavle Blagojevic

einmal, ab 15.04.2021, 12:00 - 14:00 (13 Termine)

Virtueller Raum 23

Pavle Blagojevic

einmal, ab 14.04.2021, 12:00 - 14:00 (14 Termine)

Übung zu Basismodul: Topologie I

LV: 19205402

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2 SWS

Pavle Blagojevic

Practice seminar

Submod: 0084dB3.6.2

Akt: 20.04.2021 12:00

Fri, 10:00 - 12:00 (Virtueller Raum 27)

Module: Research Module Topology (0280bA4.5)

Research Module: Topology

LV: 19223811

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2 SWS

Holger Reich

Elmar Vogt

Seminar

Submod: 0280bA4.5.1

Akt: 16.03.2021 18:32

Tue, 16:00 - 18:00 (Virtueller Raum 22)

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

Basic Module: Numerics III

LV: 19215201

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4 SWS

Volker John

Lecture

Submod: 0280aA4.2.1

Akt: 13.04.2021 15:00

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

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

Description

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 032 Seminarraum

Volker John

einmal, ab 12.04.2021, 10:00 - 12:00 (13 Termine)

A6/SR 032 Seminarraum

Volker John

einmal, ab 12.04.2021, 14:00 - 16:00 (13 Termine)

Practice seminar for Basic Module: Numerics III

LV: 19215202

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2 SWS

Volker John

Felix Henneke

Practice seminar

Submod: 0280aA4.2.2

Akt: 03.08.2021 14:00

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

Module: Aufbaumodul Numerik IV (0280bA5.3)

Deep Learning

LV: 19238501

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2 SWS

Frank Noe

Lecture

Submod: 0280bA5.3.1

Akt: 09.04.2021 12:00

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

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, Computational Sciences and Physics.
Students of the Computational Sciences program can combine this lecture/lab course with 19234502 + 19234501 (Mathematical aspects in machine learning) to complete “complex algorithms A/B”

Physics students please contact the Exam Office, dmitrij.heinz(at)fu-berlin.de, indicating modul and matriculation number

Additional appointments

Appointment series

Virtueller Raum 23

Frank Noe

einmal, ab 16.04.2021, 14:00 - 16:00 (14 Termine)

Practice seminar for Deep Learning

LV: 19238502

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2 SWS

Frank Noe

Practice seminar

Submod: 0280bA5.3.2

Akt: 09.04.2021 12:00

Tue, 12:00 - 14:00 (Virtueller Raum 07)

Mon, 12:00 - 14:00 (Virtueller Raum 28)

Wed, 10:00 - 12:00 (Virtueller Raum 24)

Additional appointments

Appointment series

Virtueller Raum 07

Frank Noe

einmal, ab 13.04.2021, 12:00 - 14:00 (13 Termine)

Virtueller Raum 28

Frank Noe

einmal, ab 12.04.2021, 12:00 - 14:00 (13 Termine)

Virtueller Raum 24

Frank Noe

einmal, ab 14.04.2021, 10:00 - 12:00 (14 Termine)

Module: Basismodul Differentialgleichungen I (0280bA6.1)

Partial Differential Equations I

LV: 19241301

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4 SWS

Klaus Ecker

Lecture

Submod: 0280bA6.1.1

Akt: 20.04.2021 12:00

Tue, 10:00 - 14:00 (Virtueller Raum 22)

Description

Topics:

Examples of partial differential equations
Euler - Lagrange equations
Transport equation
Laplace- and Poisson equations
Heat equation
Maximum principles
A priori estimates
Wave equation
Energy methods
Representation formulas

This is a BMS (Berlin Mathematical School) subject. The lectures notes and problem sheets will therefore be in English. You may submit your workings in either German or English.

References

L.C. Evans, Partial Differential Equations

Additional information

Prerequisites for Partial Differential Equations I

Analysis I - III
Linear Algebra I and II

Further information: website

Additional appointments

Appointment series

Virtueller Raum 22

Klaus Ecker

einmal, ab 13.04.2021, 10:00 - 14:00 (14 Termine)

Exercises to Partial Differential Equations I

LV: 19241302

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2 SWS

Ahmad Al-Afuni

Practice seminar

Submod: 0280bA6.1.2

Akt: 20.04.2021 12:00

Mon, 12:00 - 14:00 (Virtueller Raum 21)

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

Module: Aufbaumodul Differentialgleichungen III (0280bA6.3)

Dynamical Systems 3: Bifurcation Theory

LV: 19215701

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2 SWS

Bernold Fiedler

Lecture

Submod: 0280aA1.3.1

Akt: 18.03.2021 18:42

Tue, 10:00 - 12:00 (Virtueller Raum 24)

Description

See also the lecture "Dynamical Systems 3 - Paralipomena".
Prerequisites are Dynamical Systems 1 and/or 2.

References

K.T. Alligood, T.D. Sauer and J.A. Yorke: Chaos, Springer, 1997.
H. Amann: Ordinary Differential Equations, de Gruyter, 1990.
V.I. Arnold: Ordinary Differential Equations, Springer, 2001.
V.I. Arnold: Geometrical Methods in the Theory of Ordinary Differential Equations, Springer, 1988.
W.E. Boyce and R.C. DiPrima: Elementary Differential Equations and Boundary Value Problems, Wiley, 5th edition, 1992.
S.-N. Chow and J.K. Hale: Methods of Bifurcation Theory, Springer, 1982.
E.A. Coddington and N. Levinson: Theory of ordinary differential equations, McGill-Hill, 1955.
P. Collet and J.-P. Eckmann: Concepts and Results in Chaotic Dynamics. A Short Course, Springer, 2006.
R. Devaney, M.W. Hirsch and S. Smale: Differential Equations, Dynamical Systems, and an Introduction to Chaos, Academic Press, 2003.
(This is the updated version of
M.W. Hirsch and S. Smale: Differential Equations, Dynamical Systems, and Linear Algebra, Academic Press, 1974.)
Dynamical Systems I, D.K. Anosov and V.I. Arnold (eds.), Encyclopaedia of Mathematical Sciences Vol 1, Springer, 1988.
J. Hale: Ordinary Differential Equations, Wiley, 1969.
B. Hasselblatt, A. Katok: A First Course in Dynamics, Cambridge 2003.
P. Hartmann: Ordinary Differential Equations, Wiley, 1964.
A. Katok, B. Hasselblatt: Introduction to the Modern Theory of Dynamical Systems, Cambridge 1997.
F. Verhulst: Nonlinear Differential Equations and Dynamical Systems, Springer, 1996.

Additional appointments

Appointment series

Virtueller Raum 24

Bernold Fiedler

einmal, ab 13.04.2021, 10:00 - 12:00 (14 Termine)

Practice seminar for Dynamical Systems 3: Bifurcation Theory

LV: 19215702

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2 SWS

Alejandro Lopez Nieto

Practice seminar

Submod: 0280aA1.3.2

Akt: 09.03.2021 22:00

Wed, 16:00 - 18:00 (Virtueller Raum 22)

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

Chemical and Metabolic Networks

LV: 19202911

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2 SWS

Bernold Fiedler

Isabelle Schneider

Seminar

Submod: 0084cB1.1.1

Akt: 25.03.2021 12:00

Wed, 10:00 - 12:00 (Virtueller Raum 25)

Description

Additional information

Zielgruppe: Studierende der Semester 4-6

Additional appointments

Appointment series

Virtueller Raum 25

Bernold Fiedler

Isabelle Schneider

einmal, ab 14.04.2021, 10:00 - 12:00 (14 Termine)

Module: Ergänzungsmodul Ausgewählte Themen (0280bA7.1)

Higher algebra

LV: 19219401

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4 SWS

Holger Reich

Lecture

Submod: 0280bA7.1.1

Akt: 09.03.2021 22:00

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

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

Description

Content: Recent advances in stable homotopy theory and algebraic geometry use the language of higher category theory. The lecture will give an introduction to the theory of infinity-categories, stable infinity-categories and the generalization of classical algebra to these contexts, as developed by Jacob Lurie.

Prerequisites: We assume familiarity with basic concepts from topology and homotopy theory.

Detailed Information can be found on the Homepage of 19219401 Higher algebra.

References

Literature:

Jacob Lurie: Higher Topos Theory. Annals of Mathematics Studies 170, Princeton University Press 2009
Jacob Lurie: Higher Algebra; available from the authors homepage

Additional appointments

Appointment series

Virtueller Raum 20

Holger Reich

einmal, ab 15.04.2021, 10:00 - 12:00 (13 Termine)

Virtueller Raum 20

Holger Reich

einmal, ab 13.04.2021, 10:00 - 12:00 (14 Termine)

Tutorial: Higher algebra

LV: 19219402

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2 SWS

Holger Reich

Gabriel James Angelini-Knoll

Practice seminar

Submod: 0280bA7.1.2

Akt: 09.03.2021 22:00

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

Partial Differential Equations I

LV: 19241301

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4 SWS

Klaus Ecker

Lecture

Submod: 0280bA6.1.1

Akt: 20.04.2021 12:00

Tue, 10:00 - 14:00 (Virtueller Raum 22)

Description

Topics:

Examples of partial differential equations
Euler - Lagrange equations
Transport equation
Laplace- and Poisson equations
Heat equation
Maximum principles
A priori estimates
Wave equation
Energy methods
Representation formulas

This is a BMS (Berlin Mathematical School) subject. The lectures notes and problem sheets will therefore be in English. You may submit your workings in either German or English.

References

L.C. Evans, Partial Differential Equations

Additional information

Prerequisites for Partial Differential Equations I

Analysis I - III
Linear Algebra I and II

Further information: website

Additional appointments

Appointment series

Virtueller Raum 22

Klaus Ecker

einmal, ab 13.04.2021, 10:00 - 14:00 (14 Termine)

Exercises to Partial Differential Equations I

LV: 19241302

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2 SWS

Ahmad Al-Afuni

Practice seminar

Submod: 0280bA6.1.2

Akt: 20.04.2021 12:00

Mon, 12:00 - 14:00 (Virtueller Raum 21)

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

Nonlinear functional analysis

LV: 19244001

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4 SWS

Dirk Werner

Lecture

Submod: 0280bA7.1.1

Akt: 13.04.2021 10:00

Thu, 08:00 - 10:00 (A6/SR 007/008 Seminarraum)

Tue, 08:00 - 10:00 (A6/SR 007/008 Seminarraum)

Description

Advanced topics in linear and nonlinear functional analysis (e.g., distribution theory, fixed point theorems, Leray-Schauder degree, convex funktions, calculus of variations).

More information at the beginning of the semester.

References

Dirk Werner: Funktionalanalysis. Springer, 8. Auflage 2018.

Additional information

Prerequisites: Functional analysis I.

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Dirk Werner

einmal, ab 15.04.2021, 08:00 - 10:00 (13 Termine)

A6/SR 007/008 Seminarraum

Dirk Werner

einmal, ab 13.04.2021, 08:00 - 10:00 (14 Termine)

Tutorial for Nonlinear functional analysis

LV: 19244002

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2 SWS

Dirk Werner

Practice seminar

Submod: 0280bA7.1.2

Akt: 09.03.2021 22:00

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

Module: Ergänzungsmodul Ausgewählte Forschungsthemen (0280bA7.2)

Deep Learning

LV: 19238501

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2 SWS

Frank Noe

Lecture

Submod: 0280bA5.3.1

Akt: 09.04.2021 12:00

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

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

Physics students please contact the Exam Office, dmitrij.heinz(at)fu-berlin.de, indicating modul and matriculation number

Additional appointments

Appointment series

Virtueller Raum 23

Frank Noe

einmal, ab 16.04.2021, 14:00 - 16:00 (14 Termine)

Practice seminar for Deep Learning

LV: 19238502

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2 SWS

Frank Noe

Practice seminar

Submod: 0280bA5.3.2

Akt: 09.04.2021 12:00

Tue, 12:00 - 14:00 (Virtueller Raum 07)

Mon, 12:00 - 14:00 (Virtueller Raum 28)

Wed, 10:00 - 12:00 (Virtueller Raum 24)

Additional appointments

Appointment series

Virtueller Raum 07

Frank Noe

einmal, ab 13.04.2021, 12:00 - 14:00 (13 Termine)

Virtueller Raum 28

Frank Noe

einmal, ab 12.04.2021, 12:00 - 14:00 (13 Termine)

Virtueller Raum 24

Frank Noe

einmal, ab 14.04.2021, 10:00 - 12:00 (14 Termine)

Practice seminar for Functional Analysis applied to modeling of molecular systems

LV: 19240702

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2 SWS

Luigi Delle Site

Practice seminar

Submod: 0280bA7.2.2

Akt: 09.03.2021 22:00

Fri, 10:00 - 12:00 (Virtueller Raum 22)

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

Stochastics IV: "Stochastic Homogenisation"

LV: 19242101

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2 SWS

Ana Djurdjevac

Lecture

Submod: 0280bA7.2.1

Akt: 01.04.2021 18:00

Mon, 14:00 - 16:00 (Virtueller Raum 22)

Description

Content: Stochastics IV: "Stochastic Homogenisation"
First we will recall some basic results about Markov processes and ergodic theory that will be needed in the rest of the course. We will then study the equations on a microscale level with random (periodic) coefficients and characterize the solutions as the scale of the microstructure tends to zero. In the second part of the course we will consider averaging and homogenization of stochastic differential equations. We will first derive the limiting equations and then prove the corresponding convergence theorems. Along the way we will comment on some applications of the stochastic homogenization theory. Moreover, we will mention the numerical methods in stochastic homogenization. In particular, approximations of effective coefficients.

Topics:

Basics about Markov processes and ergodic theory;
Homogenization of partial differential equations with random coefficients;
Averaging for Markov chains;
Avergaing for SDEs: derivation of the limiting equation and convergence theorem;
Homogenization for SDEs: derivation of the limiting equation and convergence theorem;
Applications;
Numerical methods

Detailed Information can be found on the Homepage of 19242101 Stochastics IV.

References

Literature:

Pavliotis, Grigoris, and Andrew Stuart: Multiscale methods: averaging and homogenization. Springer Science & Business Media, 2008.
Bensoussan, Alain, Jacques-Louis Lions, and George Papanicolaou: Asymptotic analysis for periodic structures. Vol. 374. American Mathematical Soc., 2011.

Additional information

Target group: Master students.
Prerequisite: Stochastics I, II.

Additional appointments

Appointment series

Virtueller Raum 22

Ana Djurdjevac

einmal, ab 12.04.2021, 14:00 - 16:00 (13 Termine)

Exercise: Stochastics IV "Stochastic Homogenisation"

LV: 19242102

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2 SWS

Ana Djurdjevac

Practice seminar

Submod: 0280bA7.2.2

Akt: 01.04.2021 18:00

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

Module: Ergänzungsmodul Spezielle Aspekte (0280bA7.3)

Dynamical Systems 3: Bifurcation Theory

LV: 19215701

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2 SWS

Bernold Fiedler

Lecture

Submod: 0280aA1.3.1

Akt: 18.03.2021 18:42

Tue, 10:00 - 12:00 (Virtueller Raum 24)

Description

See also the lecture "Dynamical Systems 3 - Paralipomena".
Prerequisites are Dynamical Systems 1 and/or 2.

References

K.T. Alligood, T.D. Sauer and J.A. Yorke: Chaos, Springer, 1997.
H. Amann: Ordinary Differential Equations, de Gruyter, 1990.
V.I. Arnold: Ordinary Differential Equations, Springer, 2001.
V.I. Arnold: Geometrical Methods in the Theory of Ordinary Differential Equations, Springer, 1988.
W.E. Boyce and R.C. DiPrima: Elementary Differential Equations and Boundary Value Problems, Wiley, 5th edition, 1992.
S.-N. Chow and J.K. Hale: Methods of Bifurcation Theory, Springer, 1982.
E.A. Coddington and N. Levinson: Theory of ordinary differential equations, McGill-Hill, 1955.
P. Collet and J.-P. Eckmann: Concepts and Results in Chaotic Dynamics. A Short Course, Springer, 2006.
R. Devaney, M.W. Hirsch and S. Smale: Differential Equations, Dynamical Systems, and an Introduction to Chaos, Academic Press, 2003.
(This is the updated version of
M.W. Hirsch and S. Smale: Differential Equations, Dynamical Systems, and Linear Algebra, Academic Press, 1974.)
Dynamical Systems I, D.K. Anosov and V.I. Arnold (eds.), Encyclopaedia of Mathematical Sciences Vol 1, Springer, 1988.
J. Hale: Ordinary Differential Equations, Wiley, 1969.
B. Hasselblatt, A. Katok: A First Course in Dynamics, Cambridge 2003.
P. Hartmann: Ordinary Differential Equations, Wiley, 1964.
A. Katok, B. Hasselblatt: Introduction to the Modern Theory of Dynamical Systems, Cambridge 1997.
F. Verhulst: Nonlinear Differential Equations and Dynamical Systems, Springer, 1996.

Additional appointments

Appointment series

Virtueller Raum 24

Bernold Fiedler

einmal, ab 13.04.2021, 10:00 - 12:00 (14 Termine)

Practice seminar for Dynamical Systems 3: Bifurcation Theory

LV: 19215702

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2 SWS

Alejandro Lopez Nieto

Practice seminar

Submod: 0280aA1.3.2

Akt: 09.03.2021 22:00

Wed, 16:00 - 18:00 (Virtueller Raum 22)

Random Dynamical Systems

LV: 19219501

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2 SWS

Maximilian Engel

Lecture

Submod: 0280bA7.3.1

Akt: 01.04.2021 18:00

Tue, 08:00 - 09:30 (A3/Hs 001 Hörsaal)

Exercise classes for Random Dynamical Systems

LV: 19219502

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2 SWS

Maximilian Engel

Practice seminar

Submod: 0280bA7.3.2

Akt: 01.04.2021 18:00

Mon, 12:00 - 13:30 (A3/Hs 001 Hörsaal)

Functional Analysis Applied to Modeling of Molecular Systems

LV: 19240701

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2 SWS

Luigi Delle Site

Lecture

Submod: 0280bA7.3.1

Akt: 09.03.2021 22:00

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

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

Mon, 12:00 - 14:00 (Virtueller Raum 26)

Mon, 08:00 - 10:00 (Virtueller Raum 22)

Additional appointments

Appointment series

Virtueller Raum 25

Luigi Delle Site

einmal, ab 14.04.2021, 16:00 - 18:00 (14 Termine)

Virtueller Raum 21

Luigi Delle Site

einmal, ab 12.04.2021, 10:00 - 12:00 (13 Termine)

Virtueller Raum 26

Luigi Delle Site

einmal, ab 12.04.2021, 12:00 - 14:00 (13 Termine)

Virtueller Raum 22

Luigi Delle Site

einmal, ab 12.04.2021, 08:00 - 10:00 (13 Termine)

Random Graphs

LV: 19244201

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2 SWS

Michael Anastos

Lecture

Submod: 0280bA3.5.1

Akt: 22.01.2022 17:00

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

Exercises to Random Graphs

LV: 19244202

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2 SWS

Michael Anastos

Practice seminar

Submod: 0280bA3.5.2

Akt: 22.01.2022 17:00

Thu, 10:00 - 12:00 (Virtueller Raum 24)

Module: Ergänzungsmodul Spezielle Forschungsaspekte (0280bA7.4)

Gaussian measures in infinite dimensions and invariant measures for PDEs

LV: 19234701

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2 SWS

Immanuel Zachhuber

Lecture

Submod: 0280bA7.4.1

Akt: 09.03.2021 22:00

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

Description

Content: The first aim of the course is to introduce Gaussian measures in Hilbert spaces and then on more general Banach spaces. Later we will use the insights we gained to construct invariant measures for some linear and nonlinear PDEs.

Detailed Information can be found on the Homepage of “19234701 Invariant measures for PDEs"

References

Literature will be given at the beginning of the course or can be found on the Homepage.

Additional information

Prerequisites: Some knowledge of Probability and Functional Analysis

Additional appointments

Appointment series

Virtueller Raum 26

Immanuel Zachhuber

einmal, ab 13.04.2021, 14:00 - 16:00 (14 Termine)

Module: Ergänzungsmodul Forschungsseminar (0280bA7.5)

Chemical and Metabolic Networks

LV: 19202911

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2 SWS

Bernold Fiedler

Isabelle Schneider

Seminar

Submod: 0084cB1.1.1

Akt: 25.03.2021 12:00

Wed, 10:00 - 12:00 (Virtueller Raum 25)

Description

Additional information

Zielgruppe: Studierende der Semester 4-6

Additional appointments

Appointment series

Virtueller Raum 25

Bernold Fiedler

Isabelle Schneider

einmal, ab 14.04.2021, 10:00 - 12:00 (14 Termine)

Reseach Module: Algebra

LV: 19214611

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2 SWS

Andrea Petracci

Seminar

Submod: 0280bA2.4.1

Akt: 09.03.2021 22:00

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

Description

Literatur

Wird bekanntgegeben.

Additional information

Target group:

Math students

Prerequisites

Algebra I and II

Homepage: Prof. Altmann

Additional appointments

Appointment series

Virtueller Raum 27

Andrea Petracci

einmal, ab 12.04.2021, 14:00 - 16:00 (13 Termine)

Research Module: Topology

LV: 19223811

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2 SWS

Holger Reich

Elmar Vogt

Seminar

Submod: 0280bA4.5.1

Akt: 16.03.2021 18:32

Tue, 16:00 - 18:00 (Virtueller Raum 22)

Seminar Multiscale Methods in Molecular Simulations

LV: 19226511

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2 SWS

Luigi Delle Site

Seminar

Submod: 0084dB1.1.1

Akt: 09.03.2021 22:00

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

Description

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

Virtueller Raum 29

Luigi Delle Site

einmal, ab 14.04.2021, 12:00 - 14:00 (14 Termine)

Seminar Quantum Computational Methods

LV: 19226611

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2 SWS

Luigi Delle Site

Seminar

Submod: 0280bA7.5.1

Akt: 09.03.2021 22:00

Thu, 14:00 - 16:00 (Virtueller Raum 24)

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. A new development became relevant in the last yeras, i.e. quantum calculations on quantum computers, part of the seminar will treat also such novel aspects.
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

Virtueller Raum 24

Luigi Delle Site

einmal, ab 15.04.2021, 14:00 - 16:00 (13 Termine)

Seminar zur Stochastik

LV: 19229411

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2 SWS

Ehrhard Behrends

Seminar

Submod: 0280bA7.5.1

Akt: 15.03.2021 18:47

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

Seminar on Optimization and AI in Air and Train Freight Management

LV: 19238911

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2 SWS

No lecturers

Seminar

Submod: 0280bA7.5.1

Akt: 18.03.2021 18:43

Description

The combination of methods from combinatorial optimization and machine learning offers a potential to deal with fluctuations in suppy and demand, to master operational problems such as delays etc. The idea is that smart strategies that involve data based anticipation of future developments will lead to better decisions.This seminar will study such methods on the interface between optimization and machine learning by means of a selection of recent research papers. We will focus on applications in air and train freight management with particularly large potentials.

Additional information

This seminar will be implemented as a block seminar, likely online.

Location and schedule:

first meeting (introduction and paper assignment): TBA, at the start of the term, at 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

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

Seminar: Advanced delay equations

LV: 19239711

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2 SWS

Bernold Fiedler

Isabelle Schneider

Seminar

Submod: 0280bA7.5.1

Akt: 26.03.2021 14:00

Thu, 16:00 - 18:00 (Virtueller Raum 06)

Seminar: Advanced Differential Equations

LV: 19239911

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2 SWS

Bernold Fiedler

Seminar

Submod: 0280bA7.5.1

Akt: 09.03.2021 22:00

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

Machine Learning in Earth System Science

LV: 19242611

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2 SWS

Niklas Boers

Seminar

Submod: 0280bA7.5.1

Akt: 09.03.2021 22:00

Thu, 14:00 - 16:00 (Virtueller Raum 28)

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

Virtueller Raum 28

Niklas Boers

einmal, ab 15.04.2021, 14:00 - 16:00 (13 Termine)

Topics in computational dynamics

LV: 19244311

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2 SWS

Péter Koltai

Maximilian Engel

Seminar

Submod: 0084dB1.1.1

Akt: 19.05.2021 18:00

Thu, 16:00 - 17:30 (Virtueller Raum 23)

Description

For topic allocation for a presentation early in the semester, please contact the lecturers well ahead of time.

Additional appointments

Appointment series

Virtueller Raum 23

Péter Koltai

Maximilian Engel

einmal, ab 15.04.2021, 16:00 - 17:30 (13 Termine)

Module: Ergänzungsmodul Stochastik II (0280bA7.7)

Stochastics II

LV: 19212901

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4 SWS

Felix Höfling

Lecture

Submod: 0084aC7.2.1

Akt: 01.07.2021 16:00

Mon, 12:00 - 14:00 (T9/Gr. Hörsaal)

Thu, 14:00 - 16:00 (T9/Gr. Hörsaal)

Description

Contents:

Construction of stochastic processes;
conditional expectation;
martingales and Markov chains in discrete time;
weak convergence;
first time-continuous processes (in particular Brownian motion)

Additional information

Prerequisite: Stochastics I and Analysis I — III.

Additional appointments

Stochastik II - Klausur 2

A6/SR 031 Seminarraum

Felix Höfling

21.07.2021 14:00 - 16:00

Stochastik II - zweite Klausur

A6/SR 031 Seminarraum

Felix Höfling

12.10.2021 10:00 - 14:00

Appointment series

T9/Gr. Hörsaal

Felix Höfling

einmal, ab 12.04.2021, 12:00 - 14:00 (13 Termine)

T9/Gr. Hörsaal

Felix Höfling

einmal, ab 15.04.2021, 14:00 - 16:00 (13 Termine)

Practice seminar for Stochastics II

LV: 19212902

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2 SWS

Felix Höfling

Practice seminar

Submod: 0084aC7.2.2

Akt: 09.03.2021 22:00

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

Appointment series

A6/SR 031 Seminarraum

Felix Höfling

einmal, ab 14.04.2021, 16:00 - 18:00 (14 Termine)

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

BMS Fridays

LV: 19223111

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2 SWS

Holger Reich

Seminar

Submod: 0280bA7.8.1

Akt: 09.03.2021 22:00

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 16.04.2021, 14:00 - 16:00 (14 Termine)

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

PhD Seminar "What is...?"

LV: 19217311

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2 SWS

Holger Reich

Seminar

Submod: 0280bA7.9.1

Akt: 09.03.2021 22:00

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

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

Virtueller Raum 24

Holger Reich

einmal, ab 16.04.2021, 12:00 - 14:00 (14 Termine)

Mathematics (0280c_MA120)

Module: Introductory Module: Algebra II (0280cA1.2)

Basic Module: Algebra II

LV: 19214501

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4 SWS

Alexander Schmitt

Lecture

Submod: 0280bA2.2.1

Akt: 09.03.2021 22:00

Tue, 12:00 - 14:00 (Virtueller Raum 27)

Tue, 16:00 - 18:00 (Virtueller Raum 06)

Description

Details for the course can be found here: http://userpage.fu-berlin.de/~aschmitt/

Additional appointments

Appointment series

Virtueller Raum 27

Alexander Schmitt

einmal, ab 13.04.2021, 12:00 - 14:00 (14 Termine)

Virtueller Raum 06

Alexander Schmitt

einmal, ab 13.04.2021, 16:00 - 18:00 (14 Termine)

Practice seminar for Basic Module: Algebra II

LV: 19214502

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2 SWS

Marwan Benyoussef

Practice seminar

Submod: 0280bA2.2.2

Akt: 09.03.2021 22:00

Mon, 16:00 - 18:00 (Virtueller Raum 27)

Module: Introductory Module: Discrete Geometry II (0280cA1.6)

Basic Module: Discrete Geometrie II

LV: 19214901

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4 SWS

Matthias Beck

Lecture

Submod: 0280aA2.2.1

Akt: 09.03.2021 22:00

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

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

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

Appointment series

Virtueller Raum 23

Matthias Beck

einmal, ab 14.04.2021, 10:00 - 12:00 (14 Termine)

Virtueller Raum 23

Matthias Beck

einmal, ab 15.04.2021, 10:00 - 12:00 (13 Termine)

Practice seminar for BasicM: Discrete Geometry II

LV: 19214902

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2 SWS

Sophie Rehberg

Practice seminar

Submod: 0280aA2.2.2

Akt: 09.03.2021 22:00

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

Module: Introductory Module: Discrete Mathematics I (0280cA1.7)

Discrete Mathematics I

LV: 19214701

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4 SWS

Ralf Borndörfer

Lecture

Submod: 0084aC3.1.1

Akt: 11.10.2021 14:37

Wed, 14:00 - 16:00 (Virtueller Raum 24)

Tue, 14:00 - 16:00 (Virtueller Raum 24)

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)

References

J. Matousek, J. Nesetril (2002/2007): An Invitation to Discrete Mathematics, Oxford University Press, Oxford/Diskrete Mathematik, Springer Verlag, Berlin, Heidelberg.
L. Lovasz, J. Pelikan, K. Vesztergombi (2003): Discrete Mathemtics - Elementary and Beyond/Diskrete Mathematik, Springer Verlag, New York.
N. Biggs (2004): Discrete Mathematics. Oxford University Press, Oxford.
M. Aigner (2004/2007): Diskrete Mathematik, Vieweg Verlag, Wiesbaden/Discrete Mathemattics, American Mathematical Society, USA.
D. West (2011): Introduction to Graph Theory. Pearson Education, New York.

Additional information

Target group:

BMS students, Master and Bachelor students

Additional appointments

Klausur

Hs 1a Hörsaal

Ralf Borndörfer

14.07.2021 14:00 - 16:00

Nacklausur

Hs 1a Hörsaal

Ralf Borndörfer

13.10.2021 10:00 - 13:00

Klausureinsichttermin

A6/SR 032 Seminarraum

Ralf Borndörfer

22.10.2021 16:00 - 17:00

Appointment series

Virtueller Raum 24

Ralf Borndörfer

einmal, ab 14.04.2021, 14:00 - 16:00 (14 Termine)

Virtueller Raum 24

Ralf Borndörfer

einmal, ab 13.04.2021, 14:00 - 16:00 (14 Termine)

Practice seminar for Discrete Mathematics I

LV: 19214702

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2 SWS

Ralf Borndörfer

Practice seminar

Submod: 0084aC3.1.2

Akt: 01.12.2021 14:00

Wed, 08:00 - 10:00 (Virtueller Raum 06)

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

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

Virtueller Raum 06

Ralf Borndörfer

einmal, ab 14.04.2021, 08:00 - 10:00 (14 Termine)

Virtueller Raum 25

Ralf Borndörfer

einmal, ab 13.04.2021, 16:00 - 18:00 (14 Termine)

Module: Introductory Module: Numerical Analysis III (0280cA1.12)

Basic Module: Numerics III

LV: 19215201

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4 SWS

Volker John

Lecture

Submod: 0280aA4.2.1

Akt: 13.04.2021 15:00

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

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

Description

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 032 Seminarraum

Volker John

einmal, ab 12.04.2021, 10:00 - 12:00 (13 Termine)

A6/SR 032 Seminarraum

Volker John

einmal, ab 12.04.2021, 14:00 - 16:00 (13 Termine)

Practice seminar for Basic Module: Numerics III

LV: 19215202

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2 SWS

Volker John

Felix Henneke

Practice seminar

Submod: 0280aA4.2.2

Akt: 03.08.2021 14:00

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

Module: Introductory Module: Partial Differential Equations I (0280cA1.13)

Partial Differential Equations I

LV: 19241301

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4 SWS

Klaus Ecker

Lecture

Submod: 0280bA6.1.1

Akt: 20.04.2021 12:00

Tue, 10:00 - 14:00 (Virtueller Raum 22)

Description

Topics:

Examples of partial differential equations
Euler - Lagrange equations
Transport equation
Laplace- and Poisson equations
Heat equation
Maximum principles
A priori estimates
Wave equation
Energy methods
Representation formulas

This is a BMS (Berlin Mathematical School) subject. The lectures notes and problem sheets will therefore be in English. You may submit your workings in either German or English.

References

L.C. Evans, Partial Differential Equations

Additional information

Prerequisites for Partial Differential Equations I

Analysis I - III
Linear Algebra I and II

Further information: website

Additional appointments

Appointment series

Virtueller Raum 22

Klaus Ecker

einmal, ab 13.04.2021, 10:00 - 14:00 (14 Termine)

Exercises to Partial Differential Equations I

LV: 19241302

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2 SWS

Ahmad Al-Afuni

Practice seminar

Submod: 0280bA6.1.2

Akt: 20.04.2021 12:00

Mon, 12:00 - 14:00 (Virtueller Raum 21)

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

Module: Introductory Module: Stochastic Processes II (0280cA1.15)

Stochastics II

LV: 19212901

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4 SWS

Felix Höfling

Lecture

Submod: 0084aC7.2.1

Akt: 01.07.2021 16:00

Mon, 12:00 - 14:00 (T9/Gr. Hörsaal)

Thu, 14:00 - 16:00 (T9/Gr. Hörsaal)

Description

Contents:

Construction of stochastic processes;
conditional expectation;
martingales and Markov chains in discrete time;
weak convergence;
first time-continuous processes (in particular Brownian motion)

Additional information

Prerequisite: Stochastics I and Analysis I — III.

Additional appointments

Stochastik II - Klausur 2

A6/SR 031 Seminarraum

Felix Höfling

21.07.2021 14:00 - 16:00

Stochastik II - zweite Klausur

A6/SR 031 Seminarraum

Felix Höfling

12.10.2021 10:00 - 14:00

Appointment series

T9/Gr. Hörsaal

Felix Höfling

einmal, ab 12.04.2021, 12:00 - 14:00 (13 Termine)

T9/Gr. Hörsaal

Felix Höfling

einmal, ab 15.04.2021, 14:00 - 16:00 (13 Termine)

Practice seminar for Stochastics II

LV: 19212902

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2 SWS

Felix Höfling

Practice seminar

Submod: 0084aC7.2.2

Akt: 09.03.2021 22:00

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

Appointment series

A6/SR 031 Seminarraum

Felix Höfling

einmal, ab 14.04.2021, 16:00 - 18:00 (14 Termine)

Module: Introductory Module: Topology I (0280cA1.17)

Basismodul: Topologie I

LV: 19205401

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4 SWS

Pavle Blagojevic

Lecture

Submod: 0084dB3.6.1

Akt: 09.03.2021 22:00

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

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

Description

Course Overview
This is a beginning course from the series of three courses Topology I—III:

Basic notions: topological spaces, continuous maps, connectedness, compactness, products, coproducts, quotients.
Groups acting on topological spaces
Gluing constructions.
Homotopies between continuous maps, degree of a map, fundamental group.
Seifert-van Kampen Theorem.
Covering spaces.

References

Literature:

Tammo tom Dieck: Topologie, De Gruyter Lehrbuch
Allen Hatcher: Algebraic Topology, Chapter I. Also available online from the author's website
Klaus Jänich: Topologie, Springer-Verlag
Gerd Laures, Markus Szymik: Grundkurs Topologie, Spektrum Akademischer Verlag
James R. Munkres: Topology, Prentice Hall

Additional appointments

Appointment series

Virtueller Raum 23

Pavle Blagojevic

einmal, ab 15.04.2021, 12:00 - 14:00 (13 Termine)

Virtueller Raum 23

Pavle Blagojevic

einmal, ab 14.04.2021, 12:00 - 14:00 (14 Termine)

Übung zu Basismodul: Topologie I

LV: 19205402

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2 SWS

Pavle Blagojevic

Practice seminar

Submod: 0084dB3.6.2

Akt: 20.04.2021 12:00

Fri, 10:00 - 12:00 (Virtueller Raum 27)

Module: Advanced Module: Discrete Mathematics III (0280cA2.4)

Random Graphs

LV: 19244201

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2 SWS

Michael Anastos

Lecture

Submod: 0280bA3.5.1

Akt: 22.01.2022 17:00

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