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

Konrad Polthier

Lecture

Submod: 0084aA1.1.1

Akt: 11.06.2019 14:00

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

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

Description

Inhalt:

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

Actual information can be found on the webpage of the working group:

Analysis I

Additional appointments

Klausur

Hs 1a Hörsaal

Konrad Polthier

15.07.2019 10:00 - 12:00

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

Konrad Polthier

04.10.2019 10:00 - 12:00

Appointment series

A3/Hs 001 Hörsaal

Konrad Polthier

einmal, ab 09.04.2019, 10:00 - 12:00 (14 Termine)

A3/Hs 001 Hörsaal

Konrad Polthier

einmal, ab 11.04.2019, 10:00 - 12:00 (13 Termine)

Practice seminar for Analysis I

LV: 19202802

a.SAP verarbeitet

2 SWS

Henriette-Sophie Lipschütz

Practice seminar

Submod: 0084aA1.1.2

Akt: 25.04.2019 10:00

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

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

Wed, 08:00 - 10:00 (A3/SR 130 Seminarraum (Hinterhaus))

Wed, 10:00 - 12:00 (T9/046 Seminarraum)

Fri, 08:00 - 10:00 (A6/SR 025/026 Seminarraum)

Additional appointments

Appointment series

A6/SR 031 Seminarraum

Henriette-Sophie Lipschütz

einmal, ab 11.04.2019, 08:00 - 10:00 (13 Termine)

A3/SR 130 Seminarraum (Hinterhaus)

Henriette-Sophie Lipschütz

einmal, ab 11.04.2019, 12:00 - 14:00 (13 Termine)

A3/SR 130 Seminarraum (Hinterhaus)

Henriette-Sophie Lipschütz

einmal, ab 10.04.2019, 08:00 - 10:00 (13 Termine)

T9/046 Seminarraum

Henriette-Sophie Lipschütz

einmal, ab 10.04.2019, 10:00 - 12:00 (13 Termine)

A6/SR 025/026 Seminarraum

Henriette-Sophie Lipschütz

einmal, ab 12.04.2019, 08:00 - 10:00 (13 Termine)

Module: Linear Algebra I (0084aA2.1)

Linear Algebra I

LV: 19201401

a.SAP verarbeitet

4 SWS

Dirk Werner

Lecture

Submod: 0084aA2.1.1

Akt: 15.08.2019 14:00

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

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

Description

Basic terms/concepts: sets, maps

Linear equation systems: solvability criteria, Gauss algorithm

Vector spaces: linear independence, generating systems and bases, dimension,
subspaces

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

Equivalence relations, groups, rings, fields

Prerequisites:

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

References

Literatur:

Wird in der Vorlesung genannt!

Additional appointments

Klausur

Hs 2 Hörsaal

Dirk Werner

09.07.2019 12:00 - 14:00

Nachklausur

A3/Hs 001 Hörsaal

Dirk Werner

15.10.2019 18:00 - 20:00

Appointment series

A3/Hs 001 Hörsaal

Dirk Werner

einmal, ab 12.04.2019, 10:00 - 12:00 (13 Termine)

A3/Hs 001 Hörsaal

Dirk Werner

einmal, ab 09.04.2019, 12:00 - 14:00 (14 Termine)

Practice seminar for Linear Algebra I

LV: 19201402

a.SAP verarbeitet

2 SWS

Dirk Werner

Practice seminar

Submod: 0084aA2.1.2

Akt: 22.06.2019 18:00

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

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

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

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

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Dirk Werner

einmal, ab 11.04.2019, 12:00 - 14:00 (13 Termine)

A3/019 Seminarraum

Dirk Werner

einmal, ab 11.04.2019, 14:00 - 16:00 (12 Termine)

A6/SR 025/026 Seminarraum

Dirk Werner

einmal, ab 11.04.2019, 12:00 - 14:00 (13 Termine)

A6/SR 032 Seminarraum

Dirk Werner

einmal, ab 10.04.2019, 12:00 - 14:00 (13 Termine)

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

Computer-oriented Mathematics II

LV: 19211901

a.SAP verarbeitet

2 SWS

Carsten Gräser

Lecture

Submod: 0084aA3.2.1

Akt: 11.06.2019 12:00

Fri, 12:00 - 14:00 (T9/Gr. Hörsaal)

Description

Inhalt:

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

Additional information

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

Additional appointments

Klausur

Hs 1a Hörsaal

Carsten Gräser

12.07.2019 12:00 - 15:00

Nachklausur

HFB/B Hörsaal

Carsten Gräser

30.09.2019 10:00 - 12:00

Appointment series

T9/Gr. Hörsaal

Carsten Gräser

einmal, ab 12.04.2019, 12:00 - 14:00 (13 Termine)

Practice seminar for Computer-oriented Mathematics II

LV: 19211902

a.SAP verarbeitet

2 SWS

Xingjian Zhang-Schneider

Carsten Gräser

Practice seminar

Submod: 0084aA3.2.2

Akt: 15.08.2019 12:00

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

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

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

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

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

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

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

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

Additional information

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

Additional appointments

Appointment series

A6/SR 009 Seminarraum

Xingjian Zhang-Schneider

Carsten Gräser

einmal, ab 09.04.2019, 12:00 - 14:00 (14 Termine)

A3/SR 130 Seminarraum (Hinterhaus)

Xingjian Zhang-Schneider

Carsten Gräser

einmal, ab 11.04.2019, 10:00 - 12:00 (13 Termine)

A6/SR 025/026 Seminarraum

Xingjian Zhang-Schneider

Carsten Gräser

einmal, ab 09.04.2019, 12:00 - 14:00 (14 Termine)

A6/SR 009 Seminarraum

Xingjian Zhang-Schneider

Carsten Gräser

einmal, ab 11.04.2019, 12:00 - 14:00 (13 Termine)

KöLu24-26/SR 006 Neuro/Mathe

Xingjian Zhang-Schneider

Carsten Gräser

einmal, ab 11.04.2019, 10:00 - 12:00 (13 Termine)

A7/SR 140 Seminarraum (Hinterhaus)

Xingjian Zhang-Schneider

Carsten Gräser

einmal, ab 11.04.2019, 12:00 - 14:00 (13 Termine)

A3/SR 130 Seminarraum (Hinterhaus)

Xingjian Zhang-Schneider

Carsten Gräser

einmal, ab 09.04.2019, 12:00 - 14:00 (14 Termine)

A3/SR 119

Xingjian Zhang-Schneider

Carsten Gräser

einmal, ab 09.04.2019, 12:00 - 14:00 (14 Termine)

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

Numerics I

LV: 19212001

a.SAP verarbeitet

4 SWS

Ralf Kornhuber

Lecture

Submod: 0084aA4.1.1

Akt: 01.07.2019 10:00

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

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

Description

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

References

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

Aus dem FU-Netz auch online verfügbar.

Link

Additional information

Alle aktuellen Informationen zu Vorlesung und Übungen

Additional appointments

Klausur (findet im Hörsaal ZIB (Rundbau Erdgeschoss links), Takustraße 7 statt)

Ralf Kornhuber

08.07.2019 10:00 - 12:00

Nachklausur

HFB/B Hörsaal

Ralf Kornhuber

10.10.2019 10:00 - 12:00

Appointment series

A6/SR 032 Seminarraum

Ralf Kornhuber

einmal, ab 08.04.2019, 10:00 - 12:00 (12 Termine)

A6/SR 032 Seminarraum

Ralf Kornhuber

einmal, ab 10.04.2019, 10:00 - 12:00 (13 Termine)

Practice seminar for Numerics I

LV: 19212002

a.SAP verarbeitet

2 SWS

Ralf Kornhuber

Max Kahnt

Practice seminar

Submod: 0084aA4.1.2

Akt: 25.04.2019 14:00

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

Mon, 08:00 - 10:00 (A3/SR 130 Seminarraum (Hinterhaus))

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

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

Additional information

Alle aktuellen Informationen zu Vorlesung und Übungen

Additional appointments

Appointment series

A3/019 Seminarraum

Ralf Kornhuber

Max Kahnt

einmal, ab 11.04.2019, 08:00 - 10:00 (13 Termine)

A3/SR 130 Seminarraum (Hinterhaus)

Ralf Kornhuber

Max Kahnt

einmal, ab 08.04.2019, 08:00 - 10:00 (12 Termine)

A3/SR 119

Ralf Kornhuber

Max Kahnt

einmal, ab 12.04.2019, 14:00 - 16:00 (13 Termine)

A3/SR 130 Seminarraum (Hinterhaus)

Ralf Kornhuber

Max Kahnt

einmal, ab 10.04.2019, 12:00 - 14:00 (13 Termine)

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

Discrete Mathematics I

LV: 19214701

a.SAP verarbeitet

4 SWS

Ralf Borndörfer

Lecture

Submod: 0084aC3.1.1

Akt: 06.03.2019 12:00

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

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

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)

References

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

Additional information

Target group:

BMS students, Master and Bachelor students

Additional appointments

Appointment series

A6/SR 031 Seminarraum

Ralf Borndörfer

einmal, ab 12.04.2019, 12:00 - 14:00 (13 Termine)

A3/Hs 001 Hörsaal

Ralf Borndörfer

einmal, ab 11.04.2019, 12:00 - 14:00 (13 Termine)

Practice seminar for Discrete Mathematics I

LV: 19214702

a.SAP verarbeitet

2 SWS

Stephan Schwartz

Practice seminar

Submod: 0084aC3.1.2

Akt: 21.03.2019 12:00

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

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

Description

Content:

Selection from the following topics:

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

Additional information

Target group:

BMS students, Master and Bachelor students

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Stephan Schwartz

einmal, ab 10.04.2019, 10:00 - 12:00 (13 Termine)

A6/SR 025/026 Seminarraum

Stephan Schwartz

einmal, ab 10.04.2019, 10:00 - 12:00 (13 Termine)

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

Stochastics II

LV: 19212901

a.SAP verarbeitet

4 SWS

Sebastian Krumscheid

Lecture

Submod: 0084aC7.2.1

Akt: 18.07.2019 10:00

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

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

Description

This course is the sequel of the course of Stochastics I. The main objective is to build upon the concepts developed in Stochastics I and introduce stochastic processes, which are an important modeling tool for a wide range of applications across science and technology. We begin with the development of a probabilistic description of stochastic processes, which allows us to eventually introduce Gaussian processes and Markov chains. The "microscopic" counterpart to this description are stochastic differential equations, which provide us with representations of the random paths of many continuous processes. An important class are diffusion processes with their numerous applications.

References

relevant references (in alphabetical order):

Gardiner: Handbook of Stochastic Methods (Springer, 2004)
Klenke: Wahrscheinlichkeitstheorie (Springer, 2013)
Meintrup & Schäffler: Stochastik (Springer, 2005)
Øksendal: Stochastic Differential Equations (Springer, 2010)
van Kampen: Stochastic Processes in Physics and Chemistry (Elsevier, 2007)

further reading:

Bauer: Probability Theory (De Gruyter, 1996)
Dynkin: Markov processes (Springer, 1965)
Feller: Probability Theory and Its Applications, Bd. 1 und 2 (Wiley, 1968-1971)
Kallenberg: Foundations of modern probability (Springer, 2002)

Additional information

Requirements: previous courses in analysis and probability theory (Stochastics I) are necessary.

Additional appointments

Klausur

T9/Gr. Hörsaal

Sebastian Krumscheid

15.07.2019 10:00 - 12:00

2. Klausur

A3/Hs 001 Hörsaal

Sebastian Krumscheid

26.08.2019 10:00 - 12:00

Appointment series

A3/Hs 001 Hörsaal

Sebastian Krumscheid

einmal, ab 08.04.2019, 08:00 - 10:00 (12 Termine)

A3/Hs 001 Hörsaal

Sebastian Krumscheid

einmal, ab 11.04.2019, 08:00 - 10:00 (13 Termine)

Practice seminar for Stochastics II

LV: 19212902

a.SAP verarbeitet

2 SWS

Felix Henneke

Practice seminar

Submod: 0084aC7.2.2

Akt: 15.04.2019 16:00

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

Description

Inhalt

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

Additional information

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

Voraussetzungen: Grundkenntnisse aus Analysis und Linearer Algebra

Additional appointments

Appointment series

A3/SR 119

Felix Henneke

einmal, ab 12.04.2019, 08:00 - 10:00 (13 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

Konrad Polthier

Lecture

Submod: 0084aA1.1.1

Akt: 11.06.2019 14:00

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

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

Description

Inhalt:

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

Actual information can be found on the webpage of the working group:

Analysis I

Additional appointments

Klausur

Hs 1a Hörsaal

Konrad Polthier

15.07.2019 10:00 - 12:00

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

Konrad Polthier

04.10.2019 10:00 - 12:00

Appointment series

A3/Hs 001 Hörsaal

Konrad Polthier

einmal, ab 09.04.2019, 10:00 - 12:00 (14 Termine)

A3/Hs 001 Hörsaal

Konrad Polthier

einmal, ab 11.04.2019, 10:00 - 12:00 (13 Termine)

Practice seminar for Analysis I

LV: 19202802

a.SAP verarbeitet

2 SWS

Henriette-Sophie Lipschütz

Practice seminar

Submod: 0084aA1.1.2

Akt: 25.04.2019 10:00

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

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

Wed, 08:00 - 10:00 (A3/SR 130 Seminarraum (Hinterhaus))

Wed, 10:00 - 12:00 (T9/046 Seminarraum)

Fri, 08:00 - 10:00 (A6/SR 025/026 Seminarraum)

Additional appointments

Appointment series

A6/SR 031 Seminarraum

Henriette-Sophie Lipschütz

einmal, ab 11.04.2019, 08:00 - 10:00 (13 Termine)

A3/SR 130 Seminarraum (Hinterhaus)

Henriette-Sophie Lipschütz

einmal, ab 11.04.2019, 12:00 - 14:00 (13 Termine)

A3/SR 130 Seminarraum (Hinterhaus)

Henriette-Sophie Lipschütz

einmal, ab 10.04.2019, 08:00 - 10:00 (13 Termine)

T9/046 Seminarraum

Henriette-Sophie Lipschütz

einmal, ab 10.04.2019, 10:00 - 12:00 (13 Termine)

A6/SR 025/026 Seminarraum

Henriette-Sophie Lipschütz

einmal, ab 12.04.2019, 08:00 - 10:00 (13 Termine)

Module: Linear Algebra I (0084aA2.1)

Linear Algebra I

LV: 19201401

a.SAP verarbeitet

4 SWS

Dirk Werner

Lecture

Submod: 0084aA2.1.1

Akt: 15.08.2019 14:00

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

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

Description

Basic terms/concepts: sets, maps

Linear equation systems: solvability criteria, Gauss algorithm

Vector spaces: linear independence, generating systems and bases, dimension,
subspaces

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

Equivalence relations, groups, rings, fields

Prerequisites:

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

References

Literatur:

Wird in der Vorlesung genannt!

Additional appointments

Klausur

Hs 2 Hörsaal

Dirk Werner

09.07.2019 12:00 - 14:00

Nachklausur

A3/Hs 001 Hörsaal

Dirk Werner

15.10.2019 18:00 - 20:00

Appointment series

A3/Hs 001 Hörsaal

Dirk Werner

einmal, ab 12.04.2019, 10:00 - 12:00 (13 Termine)

A3/Hs 001 Hörsaal

Dirk Werner

einmal, ab 09.04.2019, 12:00 - 14:00 (14 Termine)

Practice seminar for Linear Algebra I

LV: 19201402

a.SAP verarbeitet

2 SWS

Dirk Werner

Practice seminar

Submod: 0084aA2.1.2

Akt: 22.06.2019 18:00

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

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

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

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

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Dirk Werner

einmal, ab 11.04.2019, 12:00 - 14:00 (13 Termine)

A3/019 Seminarraum

Dirk Werner

einmal, ab 11.04.2019, 14:00 - 16:00 (12 Termine)

A6/SR 025/026 Seminarraum

Dirk Werner

einmal, ab 11.04.2019, 12:00 - 14:00 (13 Termine)

A6/SR 032 Seminarraum

Dirk Werner

einmal, ab 10.04.2019, 12:00 - 14:00 (13 Termine)

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

Computer-oriented Mathematics II

LV: 19211901

a.SAP verarbeitet

2 SWS

Carsten Gräser

Lecture

Submod: 0084aA3.2.1

Akt: 11.06.2019 12:00

Fri, 12:00 - 14:00 (T9/Gr. Hörsaal)

Description

Inhalt:

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

Additional information

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

Additional appointments

Klausur

Hs 1a Hörsaal

Carsten Gräser

12.07.2019 12:00 - 15:00

Nachklausur

HFB/B Hörsaal

Carsten Gräser

30.09.2019 10:00 - 12:00

Appointment series

T9/Gr. Hörsaal

Carsten Gräser

einmal, ab 12.04.2019, 12:00 - 14:00 (13 Termine)

Practice seminar for Computer-oriented Mathematics II

LV: 19211902

a.SAP verarbeitet

2 SWS

Xingjian Zhang-Schneider

Carsten Gräser

Practice seminar

Submod: 0084aA3.2.2

Akt: 15.08.2019 12:00

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

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

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

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

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

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

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

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

Additional information

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

Additional appointments

Appointment series

A6/SR 009 Seminarraum

Xingjian Zhang-Schneider

Carsten Gräser

einmal, ab 09.04.2019, 12:00 - 14:00 (14 Termine)

A3/SR 130 Seminarraum (Hinterhaus)

Xingjian Zhang-Schneider

Carsten Gräser

einmal, ab 11.04.2019, 10:00 - 12:00 (13 Termine)

A6/SR 025/026 Seminarraum

Xingjian Zhang-Schneider

Carsten Gräser

einmal, ab 09.04.2019, 12:00 - 14:00 (14 Termine)

A6/SR 009 Seminarraum

Xingjian Zhang-Schneider

Carsten Gräser

einmal, ab 11.04.2019, 12:00 - 14:00 (13 Termine)

KöLu24-26/SR 006 Neuro/Mathe

Xingjian Zhang-Schneider

Carsten Gräser

einmal, ab 11.04.2019, 10:00 - 12:00 (13 Termine)

A7/SR 140 Seminarraum (Hinterhaus)

Xingjian Zhang-Schneider

Carsten Gräser

einmal, ab 11.04.2019, 12:00 - 14:00 (13 Termine)

A3/SR 130 Seminarraum (Hinterhaus)

Xingjian Zhang-Schneider

Carsten Gräser

einmal, ab 09.04.2019, 12:00 - 14:00 (14 Termine)

A3/SR 119

Xingjian Zhang-Schneider

Carsten Gräser

einmal, ab 09.04.2019, 12:00 - 14:00 (14 Termine)

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

Numerics I

LV: 19212001

a.SAP verarbeitet

4 SWS

Ralf Kornhuber

Lecture

Submod: 0084aA4.1.1

Akt: 01.07.2019 10:00

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

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

Description

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

References

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

Aus dem FU-Netz auch online verfügbar.

Link

Additional information

Alle aktuellen Informationen zu Vorlesung und Übungen

Additional appointments

Klausur (findet im Hörsaal ZIB (Rundbau Erdgeschoss links), Takustraße 7 statt)

Ralf Kornhuber

08.07.2019 10:00 - 12:00

Nachklausur

HFB/B Hörsaal

Ralf Kornhuber

10.10.2019 10:00 - 12:00

Appointment series

A6/SR 032 Seminarraum

Ralf Kornhuber

einmal, ab 08.04.2019, 10:00 - 12:00 (12 Termine)

A6/SR 032 Seminarraum

Ralf Kornhuber

einmal, ab 10.04.2019, 10:00 - 12:00 (13 Termine)

Practice seminar for Numerics I

LV: 19212002

a.SAP verarbeitet

2 SWS

Ralf Kornhuber

Max Kahnt

Practice seminar

Submod: 0084aA4.1.2

Akt: 25.04.2019 14:00

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

Mon, 08:00 - 10:00 (A3/SR 130 Seminarraum (Hinterhaus))

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

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

Additional information

Alle aktuellen Informationen zu Vorlesung und Übungen

Additional appointments

Appointment series

A3/019 Seminarraum

Ralf Kornhuber

Max Kahnt

einmal, ab 11.04.2019, 08:00 - 10:00 (13 Termine)

A3/SR 130 Seminarraum (Hinterhaus)

Ralf Kornhuber

Max Kahnt

einmal, ab 08.04.2019, 08:00 - 10:00 (12 Termine)

A3/SR 119

Ralf Kornhuber

Max Kahnt

einmal, ab 12.04.2019, 14:00 - 16:00 (13 Termine)

A3/SR 130 Seminarraum (Hinterhaus)

Ralf Kornhuber

Max Kahnt

einmal, ab 10.04.2019, 12:00 - 14:00 (13 Termine)

Module: Seminar on Algorithms (0084bC6.5)

Seminar on Algorithms

LV: 19306711

a.SAP verarbeitet

2 SWS

Günther Rothe

Seminar

Submod: 0084bC6.5.1

Akt: 11.04.2019 14:00

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

Description

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

Target audience

Masters students in computer science and mathematics.

Recommended prerequisites

"Advanced algorithms" or a similar class.

References

Spezialliteratur aus Zeitschriften

Additional appointments

Appointment series

T9/SR 006 Seminarraum

Günther Rothe

einmal, ab 10.04.2019, 14:00 - 16:00 (13 Termine)

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

Module: Mathematics Seminar (0084cB1.1)

Seminar on Functional Analysis

LV: 19212111

a.SAP verarbeitet

2 SWS

Dirk Werner

Seminar

Submod: 0084cB1.1.1

Akt: 04.03.2019 12:00

Fri, 08:00 - 10:00 (A3/SR 130 Seminarraum (Hinterhaus))

Description

Inhalt:

Ausgewählte Themen der Funktionalanalysis.

References

Wird noch bekannt gegeben, siehe meine

Additional information

Zielgruppe:

Studierende des Bachelorstudiengangs.

Voraussetzungen:

Funktionalanalysis I.

Additional appointments

Appointment series

A3/SR 130 Seminarraum (Hinterhaus)

Dirk Werner

einmal, ab 12.04.2019, 08:00 - 10:00 (13 Termine)

Seminar on Stochastics

LV: 19212511

a.SAP verarbeitet

2 SWS

Ehrhard Behrends

Seminar

Submod: 0084cB1.1.1

Akt: 04.03.2019 12:00

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

Description

Alle subjects from Stochastics I and II. Core syllabus will be:

Statistics (i.e. non-parametric statistics, parameter estimation)
Markov processes (discrete-time and continuous-time)
Brownian movement and Ito integral
Monte Carlo method
Applications from financial mathematics and natural sciences

References

Wird zu Beginn des Seminars bekanntgegeben

Additional information

Requirements: Stochastics I, Analysis I-II

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Ehrhard Behrends

einmal, ab 08.04.2019, 14:00 - 16:00 (12 Termine)

Linear Algebra Seminar

LV: 19241911

a.SAP verarbeitet

2 SWS

Tibor Szabo

Seminar

Submod: 0084cB1.1.1

Akt: 04.03.2019 12:00

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

Description

We cover selected chapters from the book of Jiri Matousek on applications of linear algebra in combinatorics, geometry, and algorithms.

Prerequisites: Solid understanding of the material of the Bachelor courses: Linear Algebra I and II, Analaysis I and II, and Stochastik I.

References

Jiri Matousek: Thirty-three Miniatures (Mathematical and Algorithmic Applications of Linear Algebra), American Mathematical Society, 2010.

Additional appointments

Appointment series

A3/SR 210 Seminarraum

Tibor Szabo

einmal, ab 10.04.2019, 12:00 - 14:00 (13 Termine)

Module: Complex Analysis (0084cB2.3)

Theory of Functions

LV: 19212801

a.SAP verarbeitet

4 SWS

Andrea Petracci

Lecture

Submod: 0084cB2.3.1

Akt: 26.09.2019 14:00

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

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

Description

Inhalt

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

References

Literatur:

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

Additional appointments

Klausur

A6/SR 007/008 Seminarraum

T9/046 Seminarraum

Andrea Petracci

08.07.2019 12:00 - 14:00

Nachklausur

A3/SR 130 Seminarraum (Hinterhaus)

Andrea Petracci

07.10.2019 12:00 - 14:00

Appointment series

A6/SR 007/008 Seminarraum

Andrea Petracci

einmal, ab 08.04.2019, 12:00 - 14:00 (11 Termine)

A6/SR 007/008 Seminarraum

Andrea Petracci

einmal, ab 08.04.2019, 16:00 - 18:00 (12 Termine)

Practice seminar for Theory of Functions

LV: 19212802

a.SAP verarbeitet

2 SWS

Andrea Petracci

Practice seminar

Submod: 0084cB2.3.2

Akt: 04.03.2019 12:00

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

Module: Stochastics II (0084cB2.4)

Stochastics II

LV: 19212901

a.SAP verarbeitet

4 SWS

Sebastian Krumscheid

Lecture

Submod: 0084aC7.2.1

Akt: 18.07.2019 10:00

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

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

Description

References

relevant references (in alphabetical order):

Gardiner: Handbook of Stochastic Methods (Springer, 2004)
Klenke: Wahrscheinlichkeitstheorie (Springer, 2013)
Meintrup & Schäffler: Stochastik (Springer, 2005)
Øksendal: Stochastic Differential Equations (Springer, 2010)
van Kampen: Stochastic Processes in Physics and Chemistry (Elsevier, 2007)

further reading:

Bauer: Probability Theory (De Gruyter, 1996)
Dynkin: Markov processes (Springer, 1965)
Feller: Probability Theory and Its Applications, Bd. 1 und 2 (Wiley, 1968-1971)
Kallenberg: Foundations of modern probability (Springer, 2002)

Additional information

Requirements: previous courses in analysis and probability theory (Stochastics I) are necessary.

Additional appointments

Klausur

T9/Gr. Hörsaal

Sebastian Krumscheid

15.07.2019 10:00 - 12:00

2. Klausur

A3/Hs 001 Hörsaal

Sebastian Krumscheid

26.08.2019 10:00 - 12:00

Appointment series

A3/Hs 001 Hörsaal

Sebastian Krumscheid

einmal, ab 08.04.2019, 08:00 - 10:00 (12 Termine)

A3/Hs 001 Hörsaal

Sebastian Krumscheid

einmal, ab 11.04.2019, 08:00 - 10:00 (13 Termine)

Practice seminar for Stochastics II

LV: 19212902

a.SAP verarbeitet

2 SWS

Felix Henneke

Practice seminar

Submod: 0084aC7.2.2

Akt: 15.04.2019 16:00

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

Description

Inhalt

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

Additional information

Voraussetzungen: Grundkenntnisse aus Analysis und Linearer Algebra

Additional appointments

Appointment series

A3/SR 119

Felix Henneke

einmal, ab 12.04.2019, 08:00 - 10:00 (13 Termine)

Module: Discrete Mathematics I (0084cB3.2)

Discrete Mathematics I

LV: 19214701

a.SAP verarbeitet

4 SWS

Ralf Borndörfer

Lecture

Submod: 0084aC3.1.1

Akt: 06.03.2019 12:00

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

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

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)

References

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

Additional information

Target group:

BMS students, Master and Bachelor students

Additional appointments

Appointment series

A6/SR 031 Seminarraum

Ralf Borndörfer

einmal, ab 12.04.2019, 12:00 - 14:00 (13 Termine)

A3/Hs 001 Hörsaal

Ralf Borndörfer

einmal, ab 11.04.2019, 12:00 - 14:00 (13 Termine)

Practice seminar for Discrete Mathematics I

LV: 19214702

a.SAP verarbeitet

2 SWS

Stephan Schwartz

Practice seminar

Submod: 0084aC3.1.2

Akt: 21.03.2019 12:00

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

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

Description

Content:

Selection from the following topics:

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

Additional information

Target group:

BMS students, Master and Bachelor students

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Stephan Schwartz

einmal, ab 10.04.2019, 10:00 - 12:00 (13 Termine)

A6/SR 025/026 Seminarraum

Stephan Schwartz

einmal, ab 10.04.2019, 10:00 - 12:00 (13 Termine)

Module: Seminar on Algorithms (0089bA2.8)

Seminar on Algorithms

LV: 19306711

a.SAP verarbeitet

2 SWS

Günther Rothe

Seminar

Submod: 0084bC6.5.1

Akt: 11.04.2019 14:00

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

Description

Target audience

Masters students in computer science and mathematics.

Recommended prerequisites

"Advanced algorithms" or a similar class.

References

Spezialliteratur aus Zeitschriften

Additional appointments

Appointment series

T9/SR 006 Seminarraum

Günther Rothe

einmal, ab 10.04.2019, 14:00 - 16:00 (13 Termine)

Module: Specialisation in Mathematics (0084cB4.1)

Geometry

LV: 19213101

a.SAP verarbeitet

4 SWS

Pavle Blagojevic

Lecture

Submod: 0084cB4.1.1

Akt: 05.02.2020 12:00

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

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

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

Appointment series

A6/SR 025/026 Seminarraum

Pavle Blagojevic

einmal, ab 08.04.2019, 10:00 - 12:00 (12 Termine)

A6/SR 025/026 Seminarraum

Pavle Blagojevic

einmal, ab 11.04.2019, 10:00 - 12:00 (13 Termine)

Practice seminar for Geometry

LV: 19213102

a.SAP verarbeitet

2 SWS

Jonathan Kliem

Practice seminar

Submod: 0084cB4.1.2

Akt: 03.07.2019 14:00

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

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

Introduction to Visualisation

LV: 19214119

a.SAP verarbeitet

4 SWS

No lecturers

Seminar with practice

Submod: 0084cB4.5.1

Akt: 04.04.2019 16:00

Module: Analysis I (0084cA1.1)

Analysis I

LV: 19202801

a.SAP verarbeitet

4 SWS

Konrad Polthier

Lecture

Submod: 0084aA1.1.1

Akt: 11.06.2019 14:00

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

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

Description

Inhalt:

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

Actual information can be found on the webpage of the working group:

Analysis I

Additional appointments

Klausur

Hs 1a Hörsaal

Konrad Polthier

15.07.2019 10:00 - 12:00

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

Konrad Polthier

04.10.2019 10:00 - 12:00

Appointment series

A3/Hs 001 Hörsaal

Konrad Polthier

einmal, ab 09.04.2019, 10:00 - 12:00 (14 Termine)

A3/Hs 001 Hörsaal

Konrad Polthier

einmal, ab 11.04.2019, 10:00 - 12:00 (13 Termine)

Practice seminar for Analysis I

LV: 19202802

a.SAP verarbeitet

2 SWS

Henriette-Sophie Lipschütz

Practice seminar

Submod: 0084aA1.1.2

Akt: 25.04.2019 10:00

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

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

Wed, 08:00 - 10:00 (A3/SR 130 Seminarraum (Hinterhaus))

Wed, 10:00 - 12:00 (T9/046 Seminarraum)

Fri, 08:00 - 10:00 (A6/SR 025/026 Seminarraum)

Additional appointments

Appointment series

A6/SR 031 Seminarraum

Henriette-Sophie Lipschütz

einmal, ab 11.04.2019, 08:00 - 10:00 (13 Termine)

A3/SR 130 Seminarraum (Hinterhaus)

Henriette-Sophie Lipschütz

einmal, ab 11.04.2019, 12:00 - 14:00 (13 Termine)

A3/SR 130 Seminarraum (Hinterhaus)

Henriette-Sophie Lipschütz

einmal, ab 10.04.2019, 08:00 - 10:00 (13 Termine)

T9/046 Seminarraum

Henriette-Sophie Lipschütz

einmal, ab 10.04.2019, 10:00 - 12:00 (13 Termine)

A6/SR 025/026 Seminarraum

Henriette-Sophie Lipschütz

einmal, ab 12.04.2019, 08:00 - 10:00 (13 Termine)

Module: Lineare Algebra I (0084cA1.4)

Linear Algebra I

LV: 19201401

a.SAP verarbeitet

4 SWS

Dirk Werner

Lecture

Submod: 0084aA2.1.1

Akt: 15.08.2019 14:00

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

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

Description

Basic terms/concepts: sets, maps

Linear equation systems: solvability criteria, Gauss algorithm

Vector spaces: linear independence, generating systems and bases, dimension,
subspaces

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

Equivalence relations, groups, rings, fields

Prerequisites:

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

References

Literatur:

Wird in der Vorlesung genannt!

Additional appointments

Klausur

Hs 2 Hörsaal

Dirk Werner

09.07.2019 12:00 - 14:00

Nachklausur

A3/Hs 001 Hörsaal

Dirk Werner

15.10.2019 18:00 - 20:00

Appointment series

A3/Hs 001 Hörsaal

Dirk Werner

einmal, ab 12.04.2019, 10:00 - 12:00 (13 Termine)

A3/Hs 001 Hörsaal

Dirk Werner

einmal, ab 09.04.2019, 12:00 - 14:00 (14 Termine)

Practice seminar for Linear Algebra I

LV: 19201402

a.SAP verarbeitet

2 SWS

Dirk Werner

Practice seminar

Submod: 0084aA2.1.2

Akt: 22.06.2019 18:00

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

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

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

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

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Dirk Werner

einmal, ab 11.04.2019, 12:00 - 14:00 (13 Termine)

A3/019 Seminarraum

Dirk Werner

einmal, ab 11.04.2019, 14:00 - 16:00 (12 Termine)

A6/SR 025/026 Seminarraum

Dirk Werner

einmal, ab 11.04.2019, 12:00 - 14:00 (13 Termine)

A6/SR 032 Seminarraum

Dirk Werner

einmal, ab 10.04.2019, 12:00 - 14:00 (13 Termine)

Module: Computerorientierte Mathematik II (0084cA1.7)

Computer-oriented Mathematics II

LV: 19211901

a.SAP verarbeitet

2 SWS

Carsten Gräser

Lecture

Submod: 0084aA3.2.1

Akt: 11.06.2019 12:00

Fri, 12:00 - 14:00 (T9/Gr. Hörsaal)

Description

Inhalt:

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

Additional information

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

Additional appointments

Klausur

Hs 1a Hörsaal

Carsten Gräser

12.07.2019 12:00 - 15:00

Nachklausur

HFB/B Hörsaal

Carsten Gräser

30.09.2019 10:00 - 12:00

Appointment series

T9/Gr. Hörsaal

Carsten Gräser

einmal, ab 12.04.2019, 12:00 - 14:00 (13 Termine)

Practice seminar for Computer-oriented Mathematics II

LV: 19211902

a.SAP verarbeitet

2 SWS

Xingjian Zhang-Schneider

Carsten Gräser

Practice seminar

Submod: 0084aA3.2.2

Akt: 15.08.2019 12:00

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

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

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

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

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

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

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

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

Additional information

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

Additional appointments

Appointment series

A6/SR 009 Seminarraum

Xingjian Zhang-Schneider

Carsten Gräser

einmal, ab 09.04.2019, 12:00 - 14:00 (14 Termine)

A3/SR 130 Seminarraum (Hinterhaus)

Xingjian Zhang-Schneider

Carsten Gräser

einmal, ab 11.04.2019, 10:00 - 12:00 (13 Termine)

A6/SR 025/026 Seminarraum

Xingjian Zhang-Schneider

Carsten Gräser

einmal, ab 09.04.2019, 12:00 - 14:00 (14 Termine)

A6/SR 009 Seminarraum

Xingjian Zhang-Schneider

Carsten Gräser

einmal, ab 11.04.2019, 12:00 - 14:00 (13 Termine)

KöLu24-26/SR 006 Neuro/Mathe

Xingjian Zhang-Schneider

Carsten Gräser

einmal, ab 11.04.2019, 10:00 - 12:00 (13 Termine)

A7/SR 140 Seminarraum (Hinterhaus)

Xingjian Zhang-Schneider

Carsten Gräser

einmal, ab 11.04.2019, 12:00 - 14:00 (13 Termine)

A3/SR 130 Seminarraum (Hinterhaus)

Xingjian Zhang-Schneider

Carsten Gräser

einmal, ab 09.04.2019, 12:00 - 14:00 (14 Termine)

A3/SR 119

Xingjian Zhang-Schneider

Carsten Gräser

einmal, ab 09.04.2019, 12:00 - 14:00 (14 Termine)

Module: Analysis II (0084cA1.2)

Analysis II

LV: 19211601

a.SAP verarbeitet

4 SWS

Christof Schütte

Péter Koltai

Andreas Bittracher

Lecture

Submod: 0084cA1.2.1

Akt: 14.06.2019 07:15

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

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

Description

Content

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

References

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

Additional appointments

Klausur

Hs 1b Hörsaal

Christof Schütte

Péter Koltai

Andreas Bittracher

17.07.2019 08:00 - 10:00

Nachklausur

Hs 2 Hörsaal

Christof Schütte

Péter Koltai

Andreas Bittracher

09.10.2019 08:00 - 10:00

Appointment series

A3/Hs 001 Hörsaal

Christof Schütte

Péter Koltai

Andreas Bittracher

einmal, ab 09.04.2019, 08:00 - 10:00 (14 Termine)

A3/Hs 001 Hörsaal

Christof Schütte

Péter Koltai

Andreas Bittracher

einmal, ab 10.04.2019, 08:00 - 10:00 (13 Termine)

Practice seminar for Analysis II

LV: 19211602

a.SAP verarbeitet

2 SWS

Péter Koltai

Andreas Bittracher

Practice seminar

Submod: 0084cA1.2.2

Akt: 27.06.2019 14:00

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

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

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

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

Additional appointments

Appointment series

A3/SR 130 Seminarraum (Hinterhaus)

Péter Koltai

Andreas Bittracher

einmal, ab 10.04.2019, 14:00 - 16:00 (14 Termine)

A3/SR 130 Seminarraum (Hinterhaus)

Péter Koltai

Andreas Bittracher

einmal, ab 12.04.2019, 14:00 - 16:00 (13 Termine)

A7/SR 140 Seminarraum (Hinterhaus)

Péter Koltai

Andreas Bittracher

einmal, ab 12.04.2019, 14:00 - 16:00 (13 Termine)

A7/SR 140 Seminarraum (Hinterhaus)

Péter Koltai

Andreas Bittracher

einmal, ab 09.04.2019, 14:00 - 16:00 (14 Termine)

Module: Lineare Algebra II (0084cA1.5)

Linear Algebra II

LV: 19211701

a.SAP verarbeitet

4 SWS

Alexandru Constantinescu

Lecture

Submod: 0084cA1.5.1

Akt: 03.06.2019 18:00

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

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

Tue, 10:00 - 12:00 (HFB/A Hörsaal)

Description

Contents:

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

Prerequisites: Linear Algebra I

Literature:

Will be mentioned in the lecture.

Additional information

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

Additional appointments

Appointment series

A3/Hs 001 Hörsaal

Alexandru Constantinescu

einmal, ab 08.04.2019, 12:00 - 14:00 (12 Termine)

A3/Hs 001 Hörsaal

Alexandru Constantinescu

einmal, ab 10.04.2019, 12:00 - 14:00 (13 Termine)

HFB/A Hörsaal

Alexandru Constantinescu

einmal, ab 16.07.2019, 10:00 - 12:00 (2 Termine)

Practice seminar for Linear Algebra II

LV: 19211702

a.SAP verarbeitet

2 SWS

Alexandru Constantinescu

Practice seminar

Submod: 0084cA1.5.2

Akt: 02.07.2019 16:00

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

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

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

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

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Alexandru Constantinescu

einmal, ab 12.04.2019, 08:00 - 10:00 (13 Termine)

A3/SR 119

Alexandru Constantinescu

einmal, ab 12.04.2019, 10:00 - 12:00 (13 Termine)

KöLu24-26/SR 006 Neuro/Mathe

Alexandru Constantinescu

einmal, ab 11.04.2019, 08:00 - 10:00 (13 Termine)

A6/SR 007/008 Seminarraum

Alexandru Constantinescu

einmal, ab 11.04.2019, 08:00 - 10:00 (13 Termine)

Module: Numerical Mathematics I (0084cA1.9)

Numerics I

LV: 19212001

a.SAP verarbeitet

4 SWS

Ralf Kornhuber

Lecture

Submod: 0084aA4.1.1

Akt: 01.07.2019 10:00

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

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

Description

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

References

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

Aus dem FU-Netz auch online verfügbar.

Link

Additional information

Alle aktuellen Informationen zu Vorlesung und Übungen

Additional appointments

Klausur (findet im Hörsaal ZIB (Rundbau Erdgeschoss links), Takustraße 7 statt)

Ralf Kornhuber

08.07.2019 10:00 - 12:00

Nachklausur

HFB/B Hörsaal

Ralf Kornhuber

10.10.2019 10:00 - 12:00

Appointment series

A6/SR 032 Seminarraum

Ralf Kornhuber

einmal, ab 08.04.2019, 10:00 - 12:00 (12 Termine)

A6/SR 032 Seminarraum

Ralf Kornhuber

einmal, ab 10.04.2019, 10:00 - 12:00 (13 Termine)

Practice seminar for Numerics I

LV: 19212002

a.SAP verarbeitet

2 SWS

Ralf Kornhuber

Max Kahnt

Practice seminar

Submod: 0084aA4.1.2

Akt: 25.04.2019 14:00

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

Mon, 08:00 - 10:00 (A3/SR 130 Seminarraum (Hinterhaus))

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

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

Additional information

Alle aktuellen Informationen zu Vorlesung und Übungen

Additional appointments

Appointment series

A3/019 Seminarraum

Ralf Kornhuber

Max Kahnt

einmal, ab 11.04.2019, 08:00 - 10:00 (13 Termine)

A3/SR 130 Seminarraum (Hinterhaus)

Ralf Kornhuber

Max Kahnt

einmal, ab 08.04.2019, 08:00 - 10:00 (12 Termine)

A3/SR 119

Ralf Kornhuber

Max Kahnt

einmal, ab 12.04.2019, 14:00 - 16:00 (13 Termine)

A3/SR 130 Seminarraum (Hinterhaus)

Ralf Kornhuber

Max Kahnt

einmal, ab 10.04.2019, 12:00 - 14:00 (13 Termine)

Mathematics (0084d_k120)

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

Seminar: Mathematics of Machine Learning: Reinforcement learning

LV: 19210511

a.SAP verarbeitet

2 SWS

Pavel Gurevich

Seminar

Submod: 0084dB1.1.1

Akt: 04.03.2019 12:00

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

Description

Machine learning deals with searching for and generating patterns in data. Although it is traditionally considered a branch of computer science, it heavily relies on mathematical foundations. Thus, it is the primary goal of our seminar to understand these mathematical foundations. In doing so, we will mainly follow the classical monograph [1], putting emphasis on the probabilistic viewpoint. In this semester, we will focus on techniques that allow one to approximate probability distributions based on samples from these distributions. The techniques that we will study are widely used in contemporary machine learning models, in particular in Bayesian neural networks.

Doing exercises (that are present in [1] in abundance) and programming is beyond the seminar’s scope. However, the students are very much encouraged to do both on their own and present the results.

Although the topics of this semester cover advanced machine learning methods, the acquaintance with basics of probability theory [1, Chap. 2] combined with descent mathematical intuition should suffice to prepare the talks and follow the presentations. Knowledge of linear models for regression [1, Chap. 3] and classification [1, Chap. 4] as well as graphical models [1, Chap. 8] would be helpful.

The language of the seminar is English. The grades are based upon presentations and active participation.

Topics

In the list of (most) topics below, the numbers in brackets refer to the corresponding sections in [1]. As a complement, the monographs [2,3] are recommended.

Latent variables:

Mixtures of Gaussians and Expectation-Maximization (EM) algorithm for it (9.2)
General EM algorithm: part 1 (9.3.0, 9.3.1, 9.3.3)
General EM algorithm: part 2 (9.4)

Approximate inference:

Variational inference: part 1 (10.1.0-10.1.4)
Variational inference: part 2 (10.1.0-10.1.4)
Variational mixture of Gaussians: part 1 (10.2)
Variational mixture of Gaussians: part 2 (10.2)
Variational linear regression (10.3)
Local variational methods (10.5)
Variational logistic regression (10.6)
Expectation propagation: part 1 (10.7)
Expectation propagation: part 2 (10.7)

Homepage: https://www.mi.fu-berlin.de/en/math/groups/hysteresis/teaching/machine-learning3.html

References

[1] Christopher M. Bishop, Pattern recognition and machine learning, 2006.
[2] Kevin P. Murphy, Machine learning. A probabilistic approach, 2012.
[3] I. Goodfellow, Y. Bengio, A. Courville, Deep Learning, 2016

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Pavel Gurevich

einmal, ab 11.04.2019, 10:00 - 12:00 (13 Termine)

Seminar on Functional Analysis

LV: 19212111

a.SAP verarbeitet

2 SWS

Dirk Werner

Seminar

Submod: 0084cB1.1.1

Akt: 04.03.2019 12:00

Fri, 08:00 - 10:00 (A3/SR 130 Seminarraum (Hinterhaus))

Description

Inhalt:

Ausgewählte Themen der Funktionalanalysis.

References

Wird noch bekannt gegeben, siehe meine

Additional information

Zielgruppe:

Studierende des Bachelorstudiengangs.

Voraussetzungen:

Funktionalanalysis I.

Additional appointments

Appointment series

A3/SR 130 Seminarraum (Hinterhaus)

Dirk Werner

einmal, ab 12.04.2019, 08:00 - 10:00 (13 Termine)

Seminar on Stochastics

LV: 19212511

a.SAP verarbeitet

2 SWS

Ehrhard Behrends

Seminar

Submod: 0084cB1.1.1

Akt: 04.03.2019 12:00

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

Description

Alle subjects from Stochastics I and II. Core syllabus will be:

Statistics (i.e. non-parametric statistics, parameter estimation)
Markov processes (discrete-time and continuous-time)
Brownian movement and Ito integral
Monte Carlo method
Applications from financial mathematics and natural sciences

References

Wird zu Beginn des Seminars bekanntgegeben

Additional information

Requirements: Stochastics I, Analysis I-II

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Ehrhard Behrends

einmal, ab 08.04.2019, 14:00 - 16:00 (12 Termine)

Proseminar/Seminar on Simple Groups of Lie Type

LV: 19240317

a.SAP verarbeitet

2 SWS

Kivanc Ersoy

Seminar / Undergraduate Course

Submod: 0084dB1.1.1

Akt: 04.03.2019 12:00

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

Linear Algebra Seminar

LV: 19241911

a.SAP verarbeitet

2 SWS

Tibor Szabo

Seminar

Submod: 0084cB1.1.1

Akt: 04.03.2019 12:00

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

Description

We cover selected chapters from the book of Jiri Matousek on applications of linear algebra in combinatorics, geometry, and algorithms.

Prerequisites: Solid understanding of the material of the Bachelor courses: Linear Algebra I and II, Analaysis I and II, and Stochastik I.

References

Jiri Matousek: Thirty-three Miniatures (Mathematical and Algorithmic Applications of Linear Algebra), American Mathematical Society, 2010.

Additional appointments

Appointment series

A3/SR 210 Seminarraum

Tibor Szabo

einmal, ab 10.04.2019, 12:00 - 14:00 (13 Termine)

Module: Complex Analysis (0084dB2.3)

Theory of Functions

LV: 19212801

a.SAP verarbeitet

4 SWS

Andrea Petracci

Lecture

Submod: 0084cB2.3.1

Akt: 26.09.2019 14:00

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

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

Description

Inhalt

References

Literatur:

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

Additional appointments

Klausur

A6/SR 007/008 Seminarraum

T9/046 Seminarraum

Andrea Petracci

08.07.2019 12:00 - 14:00

Nachklausur

A3/SR 130 Seminarraum (Hinterhaus)

Andrea Petracci

07.10.2019 12:00 - 14:00

Appointment series

A6/SR 007/008 Seminarraum

Andrea Petracci

einmal, ab 08.04.2019, 12:00 - 14:00 (11 Termine)

A6/SR 007/008 Seminarraum

Andrea Petracci

einmal, ab 08.04.2019, 16:00 - 18:00 (12 Termine)

Practice seminar for Theory of Functions

LV: 19212802

a.SAP verarbeitet

2 SWS

Andrea Petracci

Practice seminar

Submod: 0084cB2.3.2

Akt: 04.03.2019 12:00

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

Module: Stochastics II (0084dB2.4)

Stochastics II

LV: 19212901

a.SAP verarbeitet

4 SWS

Sebastian Krumscheid

Lecture

Submod: 0084aC7.2.1

Akt: 18.07.2019 10:00

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

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

Description

References

relevant references (in alphabetical order):

Gardiner: Handbook of Stochastic Methods (Springer, 2004)
Klenke: Wahrscheinlichkeitstheorie (Springer, 2013)
Meintrup & Schäffler: Stochastik (Springer, 2005)
Øksendal: Stochastic Differential Equations (Springer, 2010)
van Kampen: Stochastic Processes in Physics and Chemistry (Elsevier, 2007)

further reading:

Bauer: Probability Theory (De Gruyter, 1996)
Dynkin: Markov processes (Springer, 1965)
Feller: Probability Theory and Its Applications, Bd. 1 und 2 (Wiley, 1968-1971)
Kallenberg: Foundations of modern probability (Springer, 2002)

Additional information

Requirements: previous courses in analysis and probability theory (Stochastics I) are necessary.

Additional appointments

Klausur

T9/Gr. Hörsaal

Sebastian Krumscheid

15.07.2019 10:00 - 12:00

2. Klausur

A3/Hs 001 Hörsaal

Sebastian Krumscheid

26.08.2019 10:00 - 12:00

Appointment series

A3/Hs 001 Hörsaal

Sebastian Krumscheid

einmal, ab 08.04.2019, 08:00 - 10:00 (12 Termine)

A3/Hs 001 Hörsaal

Sebastian Krumscheid

einmal, ab 11.04.2019, 08:00 - 10:00 (13 Termine)

Practice seminar for Stochastics II

LV: 19212902

a.SAP verarbeitet

2 SWS

Felix Henneke

Practice seminar

Submod: 0084aC7.2.2

Akt: 15.04.2019 16:00

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

Description

Inhalt

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

Additional information

Voraussetzungen: Grundkenntnisse aus Analysis und Linearer Algebra

Additional appointments

Appointment series

A3/SR 119

Felix Henneke

einmal, ab 12.04.2019, 08:00 - 10:00 (13 Termine)

Module: Geometry (0084dB2.7)

Geometry

LV: 19213101

a.SAP verarbeitet

4 SWS

Pavle Blagojevic

Lecture

Submod: 0084cB4.1.1

Akt: 05.02.2020 12:00

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

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

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

Appointment series

A6/SR 025/026 Seminarraum

Pavle Blagojevic

einmal, ab 08.04.2019, 10:00 - 12:00 (12 Termine)

A6/SR 025/026 Seminarraum

Pavle Blagojevic

einmal, ab 11.04.2019, 10:00 - 12:00 (13 Termine)

Practice seminar for Geometry

LV: 19213102

a.SAP verarbeitet

2 SWS

Jonathan Kliem

Practice seminar

Submod: 0084cB4.1.2

Akt: 03.07.2019 14:00

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

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

Seminar: Mathematics of Machine Learning: Reinforcement learning

LV: 19210511

a.SAP verarbeitet

2 SWS

Pavel Gurevich

Seminar

Submod: 0084dB1.1.1

Akt: 04.03.2019 12:00

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

Description

Doing exercises (that are present in [1] in abundance) and programming is beyond the seminar’s scope. However, the students are very much encouraged to do both on their own and present the results.

The language of the seminar is English. The grades are based upon presentations and active participation.

Topics

In the list of (most) topics below, the numbers in brackets refer to the corresponding sections in [1]. As a complement, the monographs [2,3] are recommended.

Latent variables:

Mixtures of Gaussians and Expectation-Maximization (EM) algorithm for it (9.2)
General EM algorithm: part 1 (9.3.0, 9.3.1, 9.3.3)
General EM algorithm: part 2 (9.4)

Approximate inference:

Variational inference: part 1 (10.1.0-10.1.4)
Variational inference: part 2 (10.1.0-10.1.4)
Variational mixture of Gaussians: part 1 (10.2)
Variational mixture of Gaussians: part 2 (10.2)
Variational linear regression (10.3)
Local variational methods (10.5)
Variational logistic regression (10.6)
Expectation propagation: part 1 (10.7)
Expectation propagation: part 2 (10.7)

Homepage: https://www.mi.fu-berlin.de/en/math/groups/hysteresis/teaching/machine-learning3.html

References

[1] Christopher M. Bishop, Pattern recognition and machine learning, 2006.
[2] Kevin P. Murphy, Machine learning. A probabilistic approach, 2012.
[3] I. Goodfellow, Y. Bengio, A. Courville, Deep Learning, 2016

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Pavel Gurevich

einmal, ab 11.04.2019, 10:00 - 12:00 (13 Termine)

Module: Discrete Mathematics I (0084dB3.2)

Discrete Mathematics I

LV: 19214701

a.SAP verarbeitet

4 SWS

Ralf Borndörfer

Lecture

Submod: 0084aC3.1.1

Akt: 06.03.2019 12:00

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

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

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)

References

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

Additional information

Target group:

BMS students, Master and Bachelor students

Additional appointments

Appointment series

A6/SR 031 Seminarraum

Ralf Borndörfer

einmal, ab 12.04.2019, 12:00 - 14:00 (13 Termine)

A3/Hs 001 Hörsaal

Ralf Borndörfer

einmal, ab 11.04.2019, 12:00 - 14:00 (13 Termine)

Practice seminar for Discrete Mathematics I

LV: 19214702

a.SAP verarbeitet

2 SWS

Stephan Schwartz

Practice seminar

Submod: 0084aC3.1.2

Akt: 21.03.2019 12:00

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

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

Description

Content:

Selection from the following topics:

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

Additional information

Target group:

BMS students, Master and Bachelor students

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Stephan Schwartz

einmal, ab 10.04.2019, 10:00 - 12:00 (13 Termine)

A6/SR 025/026 Seminarraum

Stephan Schwartz

einmal, ab 10.04.2019, 10:00 - 12:00 (13 Termine)

Module: Topology I (0084dB3.6)

Basic module: Topology I

LV: 19205401

a.SAP verarbeitet

4 SWS

Holger Reich

Lecture

Submod: 0084dB3.6.1

Akt: 14.05.2019 10:00

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

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

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.
Group actions 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

Klausur

Hs 2 Hörsaal

Holger Reich

10.07.2019 12:00 - 14:00

Appointment series

A6/SR 031 Seminarraum

Holger Reich

einmal, ab 10.04.2019, 12:00 - 14:00 (13 Termine)

A6/SR 031 Seminarraum

Holger Reich

einmal, ab 11.04.2019, 10:00 - 12:00 (13 Termine)

Practice seminar for Basic module: Topology I

LV: 19205402

a.SAP verarbeitet

2 SWS

Holger Reich

Filipp Levikov

Practice seminar

Submod: 0084dB3.6.2

Akt: 24.05.2019 16:00

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

Module: Analysis I (0084dA1.1)

Analysis I

LV: 19202801

a.SAP verarbeitet

4 SWS

Konrad Polthier

Lecture

Submod: 0084aA1.1.1

Akt: 11.06.2019 14:00

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

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

Description

Inhalt:

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

Actual information can be found on the webpage of the working group:

Analysis I

Additional appointments

Klausur

Hs 1a Hörsaal

Konrad Polthier

15.07.2019 10:00 - 12:00

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

Konrad Polthier

04.10.2019 10:00 - 12:00

Appointment series

A3/Hs 001 Hörsaal

Konrad Polthier

einmal, ab 09.04.2019, 10:00 - 12:00 (14 Termine)

A3/Hs 001 Hörsaal

Konrad Polthier

einmal, ab 11.04.2019, 10:00 - 12:00 (13 Termine)

Practice seminar for Analysis I

LV: 19202802

a.SAP verarbeitet

2 SWS

Henriette-Sophie Lipschütz

Practice seminar

Submod: 0084aA1.1.2

Akt: 25.04.2019 10:00

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

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

Wed, 08:00 - 10:00 (A3/SR 130 Seminarraum (Hinterhaus))

Wed, 10:00 - 12:00 (T9/046 Seminarraum)

Fri, 08:00 - 10:00 (A6/SR 025/026 Seminarraum)

Additional appointments

Appointment series

A6/SR 031 Seminarraum

Henriette-Sophie Lipschütz

einmal, ab 11.04.2019, 08:00 - 10:00 (13 Termine)

A3/SR 130 Seminarraum (Hinterhaus)

Henriette-Sophie Lipschütz

einmal, ab 11.04.2019, 12:00 - 14:00 (13 Termine)

A3/SR 130 Seminarraum (Hinterhaus)

Henriette-Sophie Lipschütz

einmal, ab 10.04.2019, 08:00 - 10:00 (13 Termine)

T9/046 Seminarraum

Henriette-Sophie Lipschütz

einmal, ab 10.04.2019, 10:00 - 12:00 (13 Termine)

A6/SR 025/026 Seminarraum

Henriette-Sophie Lipschütz

einmal, ab 12.04.2019, 08:00 - 10:00 (13 Termine)

Module: Analysis II (0084dA1.2)

Analysis II

LV: 19211601

a.SAP verarbeitet

4 SWS

Christof Schütte

Péter Koltai

Andreas Bittracher

Lecture

Submod: 0084cA1.2.1

Akt: 14.06.2019 07:15

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

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

Description

Content

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

References

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

Additional appointments

Klausur

Hs 1b Hörsaal

Christof Schütte

Péter Koltai

Andreas Bittracher

17.07.2019 08:00 - 10:00

Nachklausur

Hs 2 Hörsaal

Christof Schütte

Péter Koltai

Andreas Bittracher

09.10.2019 08:00 - 10:00

Appointment series

A3/Hs 001 Hörsaal

Christof Schütte

Péter Koltai

Andreas Bittracher

einmal, ab 09.04.2019, 08:00 - 10:00 (14 Termine)

A3/Hs 001 Hörsaal

Christof Schütte

Péter Koltai

Andreas Bittracher

einmal, ab 10.04.2019, 08:00 - 10:00 (13 Termine)

Practice seminar for Analysis II

LV: 19211602

a.SAP verarbeitet

2 SWS

Péter Koltai

Andreas Bittracher

Practice seminar

Submod: 0084cA1.2.2

Akt: 27.06.2019 14:00

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

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

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

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

Additional appointments

Appointment series

A3/SR 130 Seminarraum (Hinterhaus)

Péter Koltai

Andreas Bittracher

einmal, ab 10.04.2019, 14:00 - 16:00 (14 Termine)

A3/SR 130 Seminarraum (Hinterhaus)

Péter Koltai

Andreas Bittracher

einmal, ab 12.04.2019, 14:00 - 16:00 (13 Termine)

A7/SR 140 Seminarraum (Hinterhaus)

Péter Koltai

Andreas Bittracher

einmal, ab 12.04.2019, 14:00 - 16:00 (13 Termine)

A7/SR 140 Seminarraum (Hinterhaus)

Péter Koltai

Andreas Bittracher

einmal, ab 09.04.2019, 14:00 - 16:00 (14 Termine)

Module: Linear Algebra I (0084dA1.4)

Linear Algebra I

LV: 19201401

a.SAP verarbeitet

4 SWS

Dirk Werner

Lecture

Submod: 0084aA2.1.1

Akt: 15.08.2019 14:00

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

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

Description

Basic terms/concepts: sets, maps

Linear equation systems: solvability criteria, Gauss algorithm

Vector spaces: linear independence, generating systems and bases, dimension,
subspaces

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

Equivalence relations, groups, rings, fields

Prerequisites:

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

References

Literatur:

Wird in der Vorlesung genannt!

Additional appointments

Klausur

Hs 2 Hörsaal

Dirk Werner

09.07.2019 12:00 - 14:00

Nachklausur

A3/Hs 001 Hörsaal

Dirk Werner

15.10.2019 18:00 - 20:00

Appointment series

A3/Hs 001 Hörsaal

Dirk Werner

einmal, ab 12.04.2019, 10:00 - 12:00 (13 Termine)

A3/Hs 001 Hörsaal

Dirk Werner

einmal, ab 09.04.2019, 12:00 - 14:00 (14 Termine)

Practice seminar for Linear Algebra I

LV: 19201402

a.SAP verarbeitet

2 SWS

Dirk Werner

Practice seminar

Submod: 0084aA2.1.2

Akt: 22.06.2019 18:00

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

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

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

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

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Dirk Werner

einmal, ab 11.04.2019, 12:00 - 14:00 (13 Termine)

A3/019 Seminarraum

Dirk Werner

einmal, ab 11.04.2019, 14:00 - 16:00 (12 Termine)

A6/SR 025/026 Seminarraum

Dirk Werner

einmal, ab 11.04.2019, 12:00 - 14:00 (13 Termine)

A6/SR 032 Seminarraum

Dirk Werner

einmal, ab 10.04.2019, 12:00 - 14:00 (13 Termine)

Module: Linear Algebra II (0084dA1.5)

Linear Algebra II

LV: 19211701

a.SAP verarbeitet

4 SWS

Alexandru Constantinescu

Lecture

Submod: 0084cA1.5.1

Akt: 03.06.2019 18:00

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

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

Tue, 10:00 - 12:00 (HFB/A Hörsaal)

Description

Contents:

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

Prerequisites: Linear Algebra I

Literature:

Will be mentioned in the lecture.

Additional information

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

Additional appointments

Appointment series

A3/Hs 001 Hörsaal

Alexandru Constantinescu

einmal, ab 08.04.2019, 12:00 - 14:00 (12 Termine)

A3/Hs 001 Hörsaal

Alexandru Constantinescu

einmal, ab 10.04.2019, 12:00 - 14:00 (13 Termine)

HFB/A Hörsaal

Alexandru Constantinescu

einmal, ab 16.07.2019, 10:00 - 12:00 (2 Termine)

Practice seminar for Linear Algebra II

LV: 19211702

a.SAP verarbeitet

2 SWS

Alexandru Constantinescu

Practice seminar

Submod: 0084cA1.5.2

Akt: 02.07.2019 16:00

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

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

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

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

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Alexandru Constantinescu

einmal, ab 12.04.2019, 08:00 - 10:00 (13 Termine)

A3/SR 119

Alexandru Constantinescu

einmal, ab 12.04.2019, 10:00 - 12:00 (13 Termine)

KöLu24-26/SR 006 Neuro/Mathe

Alexandru Constantinescu

einmal, ab 11.04.2019, 08:00 - 10:00 (13 Termine)

A6/SR 007/008 Seminarraum

Alexandru Constantinescu

einmal, ab 11.04.2019, 08:00 - 10:00 (13 Termine)

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

Computer-oriented Mathematics II

LV: 19211901

a.SAP verarbeitet

2 SWS

Carsten Gräser

Lecture

Submod: 0084aA3.2.1

Akt: 11.06.2019 12:00

Fri, 12:00 - 14:00 (T9/Gr. Hörsaal)

Description

Inhalt:

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

Additional information

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

Additional appointments

Klausur

Hs 1a Hörsaal

Carsten Gräser

12.07.2019 12:00 - 15:00

Nachklausur

HFB/B Hörsaal

Carsten Gräser

30.09.2019 10:00 - 12:00

Appointment series

T9/Gr. Hörsaal

Carsten Gräser

einmal, ab 12.04.2019, 12:00 - 14:00 (13 Termine)

Practice seminar for Computer-oriented Mathematics II

LV: 19211902

a.SAP verarbeitet

2 SWS

Xingjian Zhang-Schneider

Carsten Gräser

Practice seminar

Submod: 0084aA3.2.2

Akt: 15.08.2019 12:00

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

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

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

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

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

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

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

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

Additional information

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

Additional appointments

Appointment series

A6/SR 009 Seminarraum

Xingjian Zhang-Schneider

Carsten Gräser

einmal, ab 09.04.2019, 12:00 - 14:00 (14 Termine)

A3/SR 130 Seminarraum (Hinterhaus)

Xingjian Zhang-Schneider

Carsten Gräser

einmal, ab 11.04.2019, 10:00 - 12:00 (13 Termine)

A6/SR 025/026 Seminarraum

Xingjian Zhang-Schneider

Carsten Gräser

einmal, ab 09.04.2019, 12:00 - 14:00 (14 Termine)

A6/SR 009 Seminarraum

Xingjian Zhang-Schneider

Carsten Gräser

einmal, ab 11.04.2019, 12:00 - 14:00 (13 Termine)

KöLu24-26/SR 006 Neuro/Mathe

Xingjian Zhang-Schneider

Carsten Gräser

einmal, ab 11.04.2019, 10:00 - 12:00 (13 Termine)

A7/SR 140 Seminarraum (Hinterhaus)

Xingjian Zhang-Schneider

Carsten Gräser

einmal, ab 11.04.2019, 12:00 - 14:00 (13 Termine)

A3/SR 130 Seminarraum (Hinterhaus)

Xingjian Zhang-Schneider

Carsten Gräser

einmal, ab 09.04.2019, 12:00 - 14:00 (14 Termine)

A3/SR 119

Xingjian Zhang-Schneider

Carsten Gräser

einmal, ab 09.04.2019, 12:00 - 14:00 (14 Termine)

Module: Numerics I (0084dA1.9)

Numerics I

LV: 19212001

a.SAP verarbeitet

4 SWS

Ralf Kornhuber

Lecture

Submod: 0084aA4.1.1

Akt: 01.07.2019 10:00

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

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

Description

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

References

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

Aus dem FU-Netz auch online verfügbar.

Link

Additional information

Alle aktuellen Informationen zu Vorlesung und Übungen

Additional appointments

Klausur (findet im Hörsaal ZIB (Rundbau Erdgeschoss links), Takustraße 7 statt)

Ralf Kornhuber

08.07.2019 10:00 - 12:00

Nachklausur

HFB/B Hörsaal

Ralf Kornhuber

10.10.2019 10:00 - 12:00

Appointment series

A6/SR 032 Seminarraum

Ralf Kornhuber

einmal, ab 08.04.2019, 10:00 - 12:00 (12 Termine)

A6/SR 032 Seminarraum

Ralf Kornhuber

einmal, ab 10.04.2019, 10:00 - 12:00 (13 Termine)

Practice seminar for Numerics I

LV: 19212002

a.SAP verarbeitet

2 SWS

Ralf Kornhuber

Max Kahnt

Practice seminar

Submod: 0084aA4.1.2

Akt: 25.04.2019 14:00

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

Mon, 08:00 - 10:00 (A3/SR 130 Seminarraum (Hinterhaus))

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

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

Additional information

Alle aktuellen Informationen zu Vorlesung und Übungen

Additional appointments

Appointment series

A3/019 Seminarraum

Ralf Kornhuber

Max Kahnt

einmal, ab 11.04.2019, 08:00 - 10:00 (13 Termine)

A3/SR 130 Seminarraum (Hinterhaus)

Ralf Kornhuber

Max Kahnt

einmal, ab 08.04.2019, 08:00 - 10:00 (12 Termine)

A3/SR 119

Ralf Kornhuber

Max Kahnt

einmal, ab 12.04.2019, 14:00 - 16:00 (13 Termine)

A3/SR 130 Seminarraum (Hinterhaus)

Ralf Kornhuber

Max Kahnt

einmal, ab 10.04.2019, 12:00 - 14:00 (13 Termine)

Master's programme in Mathematics

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

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

Advanced Module: Differential Equations III - Dynamical Systems III - Delay Equations

LV: 19215701

a.SAP verarbeitet

2 SWS

Isabelle Schneider

Lecture

Submod: 0280aA1.3.1

Akt: 04.03.2019 12:00

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

Description

This semester we will study nonlinear dynamics under the influence of time delay.

This course concerns itself with the the theory of delay differential equations and will offer a glimpse of the many fascinating phenomena that can precipitate in an infinite-dimensional phase space. Time delay appears as an intrinsic component of many systems, e.g., signal propagation in optical systems, biological systems with memory effects, complex economic models, and social or ecological networks. Time delay can also be artificially implemented into a system to control its behavior.

Prerequisites are a good knowledge of ordinary differential equations (such as the lecture Dynamical Systems 1 which took place in Summer 2018).

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

A3/SR 130 Seminarraum (Hinterhaus)

Isabelle Schneider

einmal, ab 09.04.2019, 10:00 - 12:00 (14 Termine)

Practice seminar for Advanced Module: Differential Equations III - Dynamical Systems III - Delay Equations

LV: 19215702

a.SAP verarbeitet

2 SWS

Alejandro Lopez Nieto

Practice seminar

Submod: 0280aA1.3.2

Akt: 04.03.2019 12:00

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

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

Discrete Mathematics I

LV: 19214701

a.SAP verarbeitet

4 SWS

Ralf Borndörfer

Lecture

Submod: 0084aC3.1.1

Akt: 06.03.2019 12:00

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

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

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)

References

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

Additional information

Target group:

BMS students, Master and Bachelor students

Additional appointments

Appointment series

A6/SR 031 Seminarraum

Ralf Borndörfer

einmal, ab 12.04.2019, 12:00 - 14:00 (13 Termine)

A3/Hs 001 Hörsaal

Ralf Borndörfer

einmal, ab 11.04.2019, 12:00 - 14:00 (13 Termine)

Practice seminar for Discrete Mathematics I

LV: 19214702

a.SAP verarbeitet

2 SWS

Stephan Schwartz

Practice seminar

Submod: 0084aC3.1.2

Akt: 21.03.2019 12:00

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

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

Description

Content:

Selection from the following topics:

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

Additional information

Target group:

BMS students, Master and Bachelor students

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Stephan Schwartz

einmal, ab 10.04.2019, 10:00 - 12:00 (13 Termine)

A6/SR 025/026 Seminarraum

Stephan Schwartz

einmal, ab 10.04.2019, 10:00 - 12:00 (13 Termine)

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

Basic Module: Discrete Geometrie II

LV: 19214901

a.SAP verarbeitet

4 SWS

Pavle Blagojevic

Lecture

Submod: 0280aA2.2.1

Akt: 04.03.2019 12:00

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

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

Description

Inhalt:

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

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

Linear programming and duality
Pivot rules and the diameter of polytopes

Subdivisions and triangulations

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

Basic structures in convex geometry

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

Volumes and roundness

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

Geometric inequalities

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

Geometry of numbers

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

Sphere packings

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

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

References

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

Additional information

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

Additional appointments

Appointment series

A3/SR 119

Pavle Blagojevic

einmal, ab 09.04.2019, 08:00 - 10:00 (14 Termine)

A3/SR 119

Pavle Blagojevic

einmal, ab 10.04.2019, 10:00 - 12:00 (13 Termine)

Practice seminar for Basic Module: Discrete Geometrie II

LV: 19214902

a.SAP verarbeitet

2 SWS

Hannah Sjöberg

Practice seminar

Submod: 0280aA2.2.2

Akt: 04.03.2019 12:00

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

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

Basic Module: Numerics III

LV: 19215201

a.SAP verarbeitet

4 SWS

Volker John

Lecture

Submod: 0280aA4.2.1

Akt: 08.04.2019 10:00

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

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

Description

Content:

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

References

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

Additional information

Prerequisites

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

Additional appointments

Appointment series

A3/SR 119

Volker John

einmal, ab 08.04.2019, 14:00 - 16:00 (12 Termine)

A3/SR 119

Volker John

einmal, ab 08.04.2019, 10:00 - 12:00 (12 Termine)

Practice seminar for Basic Module: Numerics III

LV: 19215202

a.SAP verarbeitet

2 SWS

Volker John

Practice seminar

Submod: 0280aA4.2.2

Akt: 08.04.2019 10:00

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

Module: "Special Module ""Numerical Analysis IVa: ""Non-Linear Partial Differential Equations and Multi-Scale-Methods""" (0280aA4.3)

Mathematical Modelling in Climate Research

LV: 19215301

a.SAP verarbeitet

2 SWS

Nikki Vercauteren

Lecture

Submod: 0280aA4.3.1

Akt: 29.05.2019 12:00

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

Description

Content:

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

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

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

The course will cover a selection from the following topics

1. Conservation laws and governing equations,

2. Numerical methods for geophysical flow simulations,

3. Dynamical systems and bifurcation theory,

4. Data-based characterization of atmospheric flows

References

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

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

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

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

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

Tennekes and Lumley, A first course in Turbulence, MIT Press (1974)

Additional appointments

Klausur

T9/049 Seminarraum

Nikki Vercauteren

09.07.2019 11:00 - 12:30

Appointment series

T9/049 Seminarraum

Nikki Vercauteren

einmal, ab 09.04.2019, 10:00 - 12:00 (14 Termine)

Practice seminar for Mathematical Modelling in Climate Research

LV: 19215302

a.SAP verarbeitet

2 SWS

Nikki Vercauteren

Practice seminar

Submod: 0280aA4.3.2

Akt: 04.03.2019 20:00

Tue, 12:00 - 14:00 (T9/049 Seminarraum)

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

Module: Basismodul Differentialgeometrie II (0280bA1.2)

Differential Geometry II

LV: 19214301

a.SAP verarbeitet

4 SWS

Ahmad Al-Afuni

Lecture

Submod: 0280bA1.2.1

Akt: 04.03.2019 12:00

Tue, 10:00 - 14:00 (A6/SR 007/008 Seminarraum)

Description

This course shall deal with Riemannian geometry in the large. It shall be a continuation of Differential Geometry I and also serve as preparation for modern developments in geometric analysis and mathematical physics. Its content shall be a selection of the following topics:

basic notions of differential topology
geodesics, the exponential mapping and the Hopf-Rinow theorem
comparison theorems and connections between curvature and topology
differential forms, Stokes' theorem and de Rham cohomology
spaces of constant curvature, Lie groups and homogeneous spaces
isometries, Killing fields and the Myers-Steenrod theorem

Literature: to be announced.

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Ahmad Al-Afuni

einmal, ab 09.04.2019, 10:00 - 14:00 (14 Termine)

Practice seminar for Differential geometry II

LV: 19214302

a.SAP verarbeitet

2 SWS

Ahmad Al-Afuni

Practice seminar

Submod: 0280bA1.2.2

Akt: 16.05.2019 14:00

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

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

Basic Module: Algebra II

LV: 19214501

a.SAP verarbeitet

4 SWS

Klaus Altmann

Lecture

Submod: 0280bA2.2.1

Akt: 12.04.2019 14:00

Mon, 10:00 - 14:00 (T9/SR 005 Übungsraum)

Practice seminar for Basic Module: Algebra II

LV: 19214502

a.SAP verarbeitet

2 SWS

Anna-Lena Winz

Practice seminar

Submod: 0280bA2.2.2

Akt: 12.04.2019 14:00

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

Module: Forschungsmodul Algebra (0280bA2.4)

Research Module: Algebra

LV: 19214611

a.SAP verarbeitet

2 SWS

Klaus Altmann

Seminar

Submod: 0280bA2.4.1

Akt: 29.03.2019 00:00

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

Description

Inhalt:

Algebraische Varietäten

Homepage: Prof. Altmann

References

Literatur

Wird bekanntgegeben.

Additional information

Zielgruppe:

Studierende im Masterstudiengang Mathematik

Voraussetzungen

Algebra I und II

Homepage: Prof. Altmann

Additional appointments

Appointment series

A3/SR 119

Klaus Altmann

einmal, ab 11.04.2019, 14:00 - 16:00 (13 Termine)

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

Discrete Mathematics I

LV: 19214701

a.SAP verarbeitet

4 SWS

Ralf Borndörfer

Lecture

Submod: 0084aC3.1.1

Akt: 06.03.2019 12:00

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

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

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)

References

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

Additional information

Target group:

BMS students, Master and Bachelor students

Additional appointments

Appointment series

A6/SR 031 Seminarraum

Ralf Borndörfer

einmal, ab 12.04.2019, 12:00 - 14:00 (13 Termine)

A3/Hs 001 Hörsaal

Ralf Borndörfer

einmal, ab 11.04.2019, 12:00 - 14:00 (13 Termine)

Practice seminar for Discrete Mathematics I

LV: 19214702

a.SAP verarbeitet

2 SWS

Stephan Schwartz

Practice seminar

Submod: 0084aC3.1.2

Akt: 21.03.2019 12:00

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

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

Description

Content:

Selection from the following topics:

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

Additional information

Target group:

BMS students, Master and Bachelor students

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Stephan Schwartz

einmal, ab 10.04.2019, 10:00 - 12:00 (13 Termine)

A6/SR 025/026 Seminarraum

Stephan Schwartz

einmal, ab 10.04.2019, 10:00 - 12:00 (13 Termine)

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

Basic Module: Discrete Geometrie II

LV: 19214901

a.SAP verarbeitet

4 SWS

Pavle Blagojevic

Lecture

Submod: 0280aA2.2.1

Akt: 04.03.2019 12:00

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

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

Description

Inhalt:

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

Linear programming and duality
Pivot rules and the diameter of polytopes

Subdivisions and triangulations

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

Basic structures in convex geometry

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

Volumes and roundness

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

Geometric inequalities

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

Geometry of numbers

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

Sphere packings

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

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

References

Additional information

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

Additional appointments

Appointment series

A3/SR 119

Pavle Blagojevic

einmal, ab 09.04.2019, 08:00 - 10:00 (14 Termine)

A3/SR 119

Pavle Blagojevic

einmal, ab 10.04.2019, 10:00 - 12:00 (13 Termine)

Practice seminar for Basic Module: Discrete Geometrie II

LV: 19214902

a.SAP verarbeitet

2 SWS

Hannah Sjöberg

Practice seminar

Submod: 0280aA2.2.2

Akt: 04.03.2019 12:00

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

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

Finite Geometry

LV: 19240501

a.SAP verarbeitet

2 SWS

Tibor Szabo

Lecture

Submod: 0280bA3.5.1

Akt: 12.04.2019 18:00

Tue, 16:00 - 18:00 (T9/SR 006 Seminarraum)

Description

Finite geometry is the study of finite incidence structures (or hypergraphs) satisfying certain geometrically motivated axioms. In this course we will introduce various finite geometries and explore how these structures interact with combinatorics. In particular, we will study finite projective and affine spaces, generalized polygons and polar spaces. On the combinatorial side we will discuss blocking sets, strongly regular graphs, finite field Kakeya and Nikodym problems, and the cage problem.

References

Finite Geometry and Combinatorial Applications by Simeon Ball

An Introduction to Incidence Geometry by Bart De Bruyn

Combinatorics of finite geometries by Lynn Margaret Batten.

Incidence Geometry by G.~Eric Moorhouse

Projective Geometr' by Rey Casse

Algebraic Graph Theory by Chris Godsil and Gordon Royle

Additional appointments

Appointment series

T9/SR 006 Seminarraum

Tibor Szabo

einmal, ab 09.04.2019, 16:00 - 18:00 (14 Termine)

Practice seminar for Finite Geometry

LV: 19240502

a.SAP verarbeitet

2 SWS

Tibor Szabo

Practice seminar

Submod: 0280bA3.5.2

Akt: 18.04.2019 12:00

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

Module: Forschungsmodul Diskrete Geometrie (0280bA3.8)

Seminar: Real Algebra and Optimization

LV: 19216911

a.SAP verarbeitet

2 SWS

Hannah Sjöberg

Rainer Sinn

Seminar

Submod: 0280bA3.8.1

Akt: 03.04.2019 22:00

Wed, 16:00 - 18:00 (A3/SR 130 Seminarraum (Hinterhaus))

Module: Basismodul Topologie I (0280bA4.1)

Basic module: Topology I

LV: 19205401

a.SAP verarbeitet

4 SWS

Holger Reich

Lecture

Submod: 0084dB3.6.1

Akt: 14.05.2019 10:00

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

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

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.
Group actions 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

Klausur

Hs 2 Hörsaal

Holger Reich

10.07.2019 12:00 - 14:00

Appointment series

A6/SR 031 Seminarraum

Holger Reich

einmal, ab 10.04.2019, 12:00 - 14:00 (13 Termine)

A6/SR 031 Seminarraum

Holger Reich

einmal, ab 11.04.2019, 10:00 - 12:00 (13 Termine)

Practice seminar for Basic module: Topology I

LV: 19205402

a.SAP verarbeitet

2 SWS

Holger Reich

Filipp Levikov

Practice seminar

Submod: 0084dB3.6.2

Akt: 24.05.2019 16:00

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

Module: Research Module Topology (0280bA4.5)

Research Module: Topology

LV: 19223811

a.SAP verarbeitet

2 SWS

Holger Reich

Elmar Vogt

Seminar

Submod: 0280bA4.5.1

Akt: 04.04.2019 00:00

Tue, 14:00 - 16:00 (A3/SR 210 Seminarraum)

Description

Cobordismtheory

An element in the $n$th cobordism group $N_n(X)$ is represented by a map from an $n$-dimensional compact manifold without boundary into $X$. Two such maps are called bordant and represent the same element, if the two maps can be extended to a map on an $n+1$-dimensional manifold, whose boundary is the disjoint sum of the two $n$-dimensional manifolds. The funtor $N_∗ ( - )$ that arises in this simple geometric fashion is a generalized homology theory. Already when $X$ is a point the group $N_∗( pt)$ is interesting.

The aim of the seminar is to compute the bordism ring $N_∗ ( pt )$. Along the way we will define many mathematical objects and learn to work with them: basic concepts from differential topology, the Pontrjagin-Thom construction, spectra, characteristic classes, formal groups, ...

References

Literature:
Thedor Bröcker, Tammo tom Dieck: Kobordismentheorie, Lecture Notes in Mathematics 178, Springer-Verlag

Additional information

Prerequisites: Familiarity with basic concepts of Algebraic Topology

Additional appointments

Appointment series

A3/SR 210 Seminarraum

Holger Reich

Elmar Vogt

einmal, ab 09.04.2019, 14:00 - 16:00 (14 Termine)

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

Basic Module: Numerics III

LV: 19215201

a.SAP verarbeitet

4 SWS

Volker John

Lecture

Submod: 0280aA4.2.1

Akt: 08.04.2019 10:00

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

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

Description

Content:

References

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

Additional information

Prerequisites

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

Additional appointments

Appointment series

A3/SR 119

Volker John

einmal, ab 08.04.2019, 14:00 - 16:00 (12 Termine)

A3/SR 119

Volker John

einmal, ab 08.04.2019, 10:00 - 12:00 (12 Termine)

Practice seminar for Basic Module: Numerics III

LV: 19215202

a.SAP verarbeitet

2 SWS

Volker John

Practice seminar

Submod: 0280aA4.2.2

Akt: 08.04.2019 10:00

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

Module: Aufbaumodul Numerik IV (0280bA5.3)

Mathematical Modelling in Climate Research

LV: 19215301

a.SAP verarbeitet

2 SWS

Nikki Vercauteren

Lecture

Submod: 0280aA4.3.1

Akt: 29.05.2019 12:00

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

Description

Content:

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

The course will cover a selection from the following topics

1. Conservation laws and governing equations,

2. Numerical methods for geophysical flow simulations,

3. Dynamical systems and bifurcation theory,

4. Data-based characterization of atmospheric flows

References

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

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

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

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

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

Tennekes and Lumley, A first course in Turbulence, MIT Press (1974)

Additional appointments

Klausur

T9/049 Seminarraum

Nikki Vercauteren

09.07.2019 11:00 - 12:30

Appointment series

T9/049 Seminarraum

Nikki Vercauteren

einmal, ab 09.04.2019, 10:00 - 12:00 (14 Termine)

Practice seminar for Mathematical Modelling in Climate Research

LV: 19215302

a.SAP verarbeitet

2 SWS

Nikki Vercauteren

Practice seminar

Submod: 0280aA4.3.2

Akt: 04.03.2019 20:00

Tue, 12:00 - 14:00 (T9/049 Seminarraum)

Deep Learning

LV: 19238501

a.SAP verarbeitet

2 SWS

Frank Noe

Lecture

Submod: 0280bA5.3.1

Akt: 31.05.2019 15:07

Fri, 14:00 - 16:00 (T9/Gr. Hörsaal)

Description

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

Content:

- Perceptron

- Multilayer neural network and universal represenation theorem

- Backpropagation

- Deep feedforward networks

- Convolutional Neural Networks

- Autoencoder versus principal component analysis

- Time-autoencoder versus time-lagged independent component analysis

- Generative networks: Variational Autoencoders and Adversarial Generative Networks

- Active learning

Additional information

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

Additional appointments

Klausur

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

Frank Noe

12.07.2019 14:00 - 16:00

Nachklausur

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

Frank Noe

16.08.2019 12:00 - 14:00

Appointment series

T9/Gr. Hörsaal

Frank Noe

einmal, ab 12.04.2019, 14:00 - 16:00 (12 Termine)

Practice seminar for Deep Learning

LV: 19238502

a.SAP verarbeitet

2 SWS

Frank Noe

Practice seminar

Submod: 0280bA5.3.2

Akt: 10.04.2019 22:00

Thu, 16:00 - 18:00 (A7/SR 031)

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

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

Additional appointments

Appointment series

A7/SR 031

Frank Noe

einmal, ab 25.04.2019, 16:00 - 18:00 (11 Termine)

A6/SR 032 Seminarraum

Frank Noe

einmal, ab 23.04.2019, 16:00 - 18:00 (12 Termine)

A6/SR 032 Seminarraum

Frank Noe

einmal, ab 23.04.2019, 12:00 - 14:00 (12 Termine)

Inverse Problems

LV: 19240601

a.SAP verarbeitet

2 SWS

Timothy John Sullivan

Lecture

Submod: 0280bA5.3.1

Akt: 01.04.2019 18:00

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

Description

Inverse problems, meaning the recovery of parameters or states in a mathematcial model that best match some observed data, are ubiquitous in applied sciences. This course will provide an introduction to the deterministic (variational) and stochastic (Bayesian) theories of inverse problems in function spaces.

Contents:

Examples of inverse problems in mathematics and physical sciences
Preliminaries from functional analysis
Preliminaries from probability theory
Linear inverse problems and variational regularisation
Bayesian regularisation of inverse problems
Monte Carlo methods for Bayesian problems

Additional appointments

Appointment series

A6/SR 009 Seminarraum

Timothy John Sullivan

einmal, ab 12.04.2019, 08:00 - 10:00 (13 Termine)

Practice seminar for Inverse Problems

LV: 19240602

a.SAP verarbeitet

2 SWS

Timothy John Sullivan

Practice seminar

Submod: 0280bA5.3.2

Akt: 01.04.2019 18:00

Thu, 12:00 - 14:00 (KöLu24-26/SR 006 Neuro/Mathe)

Module: Forschungsmodul Numerische Mathematik (0280bA5.4)

Seminar: Mathematics of Learning: from Hilbert’s 13th Problem to Fluctuating Hydrodynamics

LV: 19240811

a.SAP verarbeitet

2 SWS

Carsten Gräser

Ralf Kornhuber

Seminar

Submod: 0280bA5.4.1

Akt: 08.03.2019 02:00

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

Description

Neural networks (NN) constitute a class of functions that nonlinearly depend on a finite number of parameters which in turn are typically used for (optimal) approximation of an unknown function from a given set of function values.

In this seminar, we plan first to investigate the richness and approximation power of neural networks by considering topics like Hilbert's 13th problem, approximation error estimates, and discretization errror estimates for NN-discretizations of partial differential equations.

Furthermore we will adress the algebraic minimization problems for (optimal) NN-parameters. Popular numerical solution methods like stochastic gradient-type descent will finally lead us to novel reinterpretations of NN in terms of fluctuating hydrodynamics that are currently investigated in a MATH+ project of the organizers.

Participants are expected to have basic knowledge in numerical analysis as communicated, e.g. in the lectures Numerik I - III at FU Berlin.

Additional appointments

Appointment series

A6/SR 009 Seminarraum

Carsten Gräser

Ralf Kornhuber

einmal, ab 11.04.2019, 14:00 - 16:00 (13 Termine)

Module: Basismodul Differentialgleichungen I (0280bA6.1)

Partial Differential Equations I

LV: 19241301

a.SAP verarbeitet

4 SWS

Klaus Ecker

Lecture

Submod: 0280bA6.1.1

Akt: 04.03.2019 12:00

Tue, 14:00 - 18:00 (A6/SR 007/008 Seminarraum)

Exercises to PDE I

LV: 19241302

a.SAP verarbeitet

2 SWS

Klaus Ecker

Practice seminar

Submod: 0280bA6.1.2

Akt: 04.03.2019 12:00

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

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

Module: Aufbaumodul Differentialgleichungen III (0280bA6.3)

Advanced Module: Differential Equations III - Dynamical Systems III - Delay Equations

LV: 19215701

a.SAP verarbeitet

2 SWS

Isabelle Schneider

Lecture

Submod: 0280aA1.3.1

Akt: 04.03.2019 12:00

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

Description

This semester we will study nonlinear dynamics under the influence of time delay.

Prerequisites are a good knowledge of ordinary differential equations (such as the lecture Dynamical Systems 1 which took place in Summer 2018).

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

A3/SR 130 Seminarraum (Hinterhaus)

Isabelle Schneider

einmal, ab 09.04.2019, 10:00 - 12:00 (14 Termine)

Practice seminar for Advanced Module: Differential Equations III - Dynamical Systems III - Delay Equations

LV: 19215702

a.SAP verarbeitet

2 SWS

Alejandro Lopez Nieto

Practice seminar

Submod: 0280aA1.3.2

Akt: 04.03.2019 12:00

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

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

Seminar: Mathematics of Machine Learning: Reinforcement learning

LV: 19210511

a.SAP verarbeitet

2 SWS

Pavel Gurevich

Seminar

Submod: 0084dB1.1.1

Akt: 04.03.2019 12:00

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

Description

Doing exercises (that are present in [1] in abundance) and programming is beyond the seminar’s scope. However, the students are very much encouraged to do both on their own and present the results.

The language of the seminar is English. The grades are based upon presentations and active participation.

Topics

In the list of (most) topics below, the numbers in brackets refer to the corresponding sections in [1]. As a complement, the monographs [2,3] are recommended.

Latent variables:

Mixtures of Gaussians and Expectation-Maximization (EM) algorithm for it (9.2)
General EM algorithm: part 1 (9.3.0, 9.3.1, 9.3.3)
General EM algorithm: part 2 (9.4)

Approximate inference:

Variational inference: part 1 (10.1.0-10.1.4)
Variational inference: part 2 (10.1.0-10.1.4)
Variational mixture of Gaussians: part 1 (10.2)
Variational mixture of Gaussians: part 2 (10.2)
Variational linear regression (10.3)
Local variational methods (10.5)
Variational logistic regression (10.6)
Expectation propagation: part 1 (10.7)
Expectation propagation: part 2 (10.7)

Homepage: https://www.mi.fu-berlin.de/en/math/groups/hysteresis/teaching/machine-learning3.html

References

[1] Christopher M. Bishop, Pattern recognition and machine learning, 2006.
[2] Kevin P. Murphy, Machine learning. A probabilistic approach, 2012.
[3] I. Goodfellow, Y. Bengio, A. Courville, Deep Learning, 2016

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Pavel Gurevich

einmal, ab 11.04.2019, 10:00 - 12:00 (13 Termine)

Seminar Partial Differential Equations

LV: 19237811

a.SAP verarbeitet

2 SWS

Klaus Ecker

Seminar

Submod: 0280bA6.4.1

Akt: 12.04.2019 18:00

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

Module: Ergänzungsmodul Ausgewählte Themen (0280bA7.1)

Polyhedral Methods in Algebraic Geometry

LV: 19241001

a.SAP verarbeitet

4 SWS

Christian Haase

Lecture

Submod: 0280bA7.1.1

Akt: 12.04.2019 16:00

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

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

Description

This course has (at least) two target audiences: on the one hand, this
course is for students of algebraic geometry who are curious to see their
field interact with polyhedral geometry, and to even see it applied to
statistics, economics and optimization. On the other hand, this course is
for students of discrete geometry, optimization or combinatorics who want
to get a glimpse of what algebraic geometry is about, and see examples of
applications to their favorite objects.

The goal is to provide background and to get students up to speed so that
they will be able to participate actively in a project group of the
anticipated Thematic Einstein Semester Varieties, Polyhedra, Computation
during the winter term 2019/20.

Additional appointments

Appointment series

A3/ 024 Seminarraum

Christian Haase

einmal, ab 09.04.2019, 14:00 - 16:00 (14 Termine)

A3/ 024 Seminarraum

Christian Haase

einmal, ab 09.04.2019, 10:00 - 12:00 (14 Termine)

Practice seminar for Polyhedral Methods in Algebraic Geometry

LV: 19241002

a.SAP verarbeitet

2 SWS

Christian Haase

Practice seminar

Submod: 0280bA7.1.2

Akt: 08.05.2019 16:00

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

Partial Differential Equations I

LV: 19241301

a.SAP verarbeitet

4 SWS

Klaus Ecker

Lecture

Submod: 0280bA6.1.1

Akt: 04.03.2019 12:00

Tue, 14:00 - 18:00 (A6/SR 007/008 Seminarraum)

Exercises to PDE I

LV: 19241302

a.SAP verarbeitet

2 SWS

Klaus Ecker

Practice seminar

Submod: 0280bA6.1.2

Akt: 04.03.2019 12:00

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

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

Linear Algebraic Group and Finite Groups of Lie Type

LV: 19241401

a.SAP verarbeitet

4 SWS

Kivanc Ersoy

Lecture

Submod: 0280bA7.1.1

Akt: 18.04.2019 12:00

Mon, 16:00 - 18:00 (A7/SR 031)

Fri, 10:00 - 12:00 (1.3.21 Seminarraum T1)

References

References
Linear Algebraic Groups and Finite Groups of Lie Type, Donna Testerman-Gunther Malle

Supplementary reading:

Endomorphisms of Linear Algebraic Groups, R. Steinberg

Simple Groups of Lie Type, R. Carter

Additional appointments

Appointment series

A7/SR 031

Kivanc Ersoy

einmal, ab 08.04.2019, 16:00 - 18:00 (12 Termine)

1.3.21 Seminarraum T1

Kivanc Ersoy

einmal, ab 12.04.2019, 10:00 - 12:00 (13 Termine)

Practice seminar for Linear Algebraic Group and Finite Groups of Lie Type

LV: 19241402

a.SAP verarbeitet

2 SWS

Kivanc Ersoy

Practice seminar

Submod: 0280bA7.1.2

Akt: 18.04.2019 12:00

Fri, 12:00 - 14:00 (T9/SR 005 Übungsraum)

Description

Desciption: Let $k$ be an algebraically closed field. A linear algebraic group over $k$ is a closed subgroup of $GL_{n}(k)$ for some $n$. In this course we will first cover the basic concepts about linear algebraic groups and their morphisms, examples of algebraic groups, connectedness, dimension, Jordan decomposition, unipotent subgroups. We will classify commutative linear algebraic groups via their Jordan decomposition. Then we will cover tori, characters and cocharacters. Then we will go on with the structure of connected solvable groups and Lie-Kolchin Theorem, actions of linear algebraic groups, existence of rational representations, properties of the Borel subgroup and Borel fixed point theorem. We will define the Lie algebra of a linear algebraic group and the adjoint representation. In the second chapter we will introduce root systems and the classification theorem of Chevalley to study the structure of reductive and semisimple linear algebraic groups. Then we will study BN pairs and Bruhat decomposition, parabolic subgroups and Levi decomposition, subgroups of maximal rank, Borel-de Siebenthal theorem. We will prove some results about centralizers and conjugacy classes in simple linear algebraic groups.

In the third chapter we will deal with endomorphisms of linear algebraic groups and then finite groups of Lie type, as fixed points of Steinberg endomorphisms. We will classify simple groups of Lie type. We will cover Weyl groups, root systems and root subgroups. We will end the course with a discussion on maximal subgroups of finite classical groups, and theorems of Liebeck, Seitz and Aschbacher.

References
Linear Algebraic Groups and Finite Groups of Lie Type, Donna Testerman- Gunther Malle

Supplementary reading:

Endomorphisms of Linear Algebraic Groups, R. Steinberg

Simple Groups of Lie Type, R. Carter

Additional appointments

Appointment series

T9/SR 005 Übungsraum

Kivanc Ersoy

einmal, ab 12.04.2019, 12:00 - 14:00 (13 Termine)

Module: Ergänzungsmodul Ausgewählte Forschungsthemen (0280bA7.2)

Deep Learning

LV: 19238501

a.SAP verarbeitet

2 SWS

Frank Noe

Lecture

Submod: 0280bA5.3.1

Akt: 31.05.2019 15:07

Fri, 14:00 - 16:00 (T9/Gr. Hörsaal)

Description

Content:

- Perceptron

- Multilayer neural network and universal represenation theorem

- Backpropagation

- Deep feedforward networks

- Convolutional Neural Networks

- Autoencoder versus principal component analysis

- Time-autoencoder versus time-lagged independent component analysis

- Generative networks: Variational Autoencoders and Adversarial Generative Networks

- Active learning

Additional information

Additional appointments

Klausur

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

Frank Noe

12.07.2019 14:00 - 16:00

Nachklausur

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

Frank Noe

16.08.2019 12:00 - 14:00

Appointment series

T9/Gr. Hörsaal

Frank Noe

einmal, ab 12.04.2019, 14:00 - 16:00 (12 Termine)

Practice seminar for Deep Learning

LV: 19238502

a.SAP verarbeitet

2 SWS

Frank Noe

Practice seminar

Submod: 0280bA5.3.2

Akt: 10.04.2019 22:00

Thu, 16:00 - 18:00 (A7/SR 031)

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

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

Additional appointments

Appointment series

A7/SR 031

Frank Noe

einmal, ab 25.04.2019, 16:00 - 18:00 (11 Termine)

A6/SR 032 Seminarraum

Frank Noe

einmal, ab 23.04.2019, 16:00 - 18:00 (12 Termine)

A6/SR 032 Seminarraum

Frank Noe

einmal, ab 23.04.2019, 12:00 - 14:00 (12 Termine)

Inverse Problems

LV: 19240601

a.SAP verarbeitet

2 SWS

Timothy John Sullivan

Lecture

Submod: 0280bA5.3.1

Akt: 01.04.2019 18:00

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

Description

Contents:

Examples of inverse problems in mathematics and physical sciences
Preliminaries from functional analysis
Preliminaries from probability theory
Linear inverse problems and variational regularisation
Bayesian regularisation of inverse problems
Monte Carlo methods for Bayesian problems

Additional appointments

Appointment series

A6/SR 009 Seminarraum

Timothy John Sullivan

einmal, ab 12.04.2019, 08:00 - 10:00 (13 Termine)

Practice seminar for Inverse Problems

LV: 19240602

a.SAP verarbeitet

2 SWS

Timothy John Sullivan

Practice seminar

Submod: 0280bA5.3.2

Akt: 01.04.2019 18:00

Thu, 12:00 - 14:00 (KöLu24-26/SR 006 Neuro/Mathe)

Functional Analysis Applied to Modeling of Molecular Systems

LV: 19240701

a.SAP verarbeitet

2 SWS

Luigi Delle Site

Lecture

Submod: 0280bA7.2.1

Akt: 29.03.2019 00:00

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

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

Practice seminar for Functional Analysis applied to modeling of molecular systems

LV: 19240702

a.SAP verarbeitet

2 SWS

Luigi Delle Site

Practice seminar

Submod: 0280bA7.2.2

Akt: 29.03.2019 00:00

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

The Navier-Stokes Equations and Applications Toward Data Assimilation

LV: 19240901

a.SAP verarbeitet

2 SWS

Titi Edriss

Lecture

Submod: 0280bA7.2.1

Akt: 29.03.2019 00:00

Tue, 16:00 - 17:30 (A3/ 024 Seminarraum )

References

Primary References:

P. Constantin and C. Foias, Navier-Stokes Equations, University of Chicago Press, 1988.

C. Foias, O. Manley, R. Rosa and R. Temam, Navier-Stokes Equations and Turbulence, Cambridge University Press, Cambridge, 2001.

R. Temam, Navier-Stokes Equations: Theory and Numerical Analysis, North-Holand. New print published by the AMS 2001.

R. Temam, Infinite Dimensional Dynamical Systems in Mechanics and Physics, 2nd Ed, Applied Math Sci. 68, Springer-Verlag,

1997.

Various classical and recent papers on these topics will be pointed out in the course of the semester.

Additional References:

A. Chorin and J. Marsden, A Mathematical Introduction to Fluid Mechanics, Springer-Verlag.

C. Doering and J. Gibbon, Applied Analysis of the Navier-Stokes Equations, Cambridge University Press.

J. C. Robinson, Infinite-dimensional Dynamical Systems: An Introduction to Dissipative Parabolic PDEs and the Theory of Global Attractors, Cambridge Texts in Applied Mathematics.

R. Temam, Navier-Stokes Equations and Nonlinear Functional Analysis, CBMS-NSF Regional Conference Series in Applied Math 66, SIAM, 2nd Ed, 1995.

Additional appointments

Appointment series

A3/ 024 Seminarraum

Titi Edriss

einmal, ab 09.04.2019, 16:00 - 17:30 (14 Termine)

Practice seminar for The Navier-Stokes Equations and Applications Toward Data Assimilation

LV: 19240902

a.SAP verarbeitet

2 SWS

Titi Edriss

Practice seminar

Submod: 0280bA7.2.2

Akt: 29.03.2019 00:00

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

Module: Ergänzungsmodul Spezielle Aspekte (0280bA7.3)

Mathematical Modelling in Climate Research

LV: 19215301

a.SAP verarbeitet

2 SWS

Nikki Vercauteren

Lecture

Submod: 0280aA4.3.1

Akt: 29.05.2019 12:00

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

Description

Content:

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

The course will cover a selection from the following topics

1. Conservation laws and governing equations,

2. Numerical methods for geophysical flow simulations,

3. Dynamical systems and bifurcation theory,

4. Data-based characterization of atmospheric flows

References

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

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

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

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

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

Tennekes and Lumley, A first course in Turbulence, MIT Press (1974)

Additional appointments

Klausur

T9/049 Seminarraum

Nikki Vercauteren

09.07.2019 11:00 - 12:30

Appointment series

T9/049 Seminarraum

Nikki Vercauteren

einmal, ab 09.04.2019, 10:00 - 12:00 (14 Termine)

Practice seminar for Mathematical Modelling in Climate Research

LV: 19215302

a.SAP verarbeitet

2 SWS

Nikki Vercauteren

Practice seminar

Submod: 0280aA4.3.2

Akt: 04.03.2019 20:00

Tue, 12:00 - 14:00 (T9/049 Seminarraum)

Advanced Module: Differential Equations III - Dynamical Systems III - Delay Equations

LV: 19215701

a.SAP verarbeitet

2 SWS

Isabelle Schneider

Lecture

Submod: 0280aA1.3.1

Akt: 04.03.2019 12:00

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

Description

This semester we will study nonlinear dynamics under the influence of time delay.

Prerequisites are a good knowledge of ordinary differential equations (such as the lecture Dynamical Systems 1 which took place in Summer 2018).

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

A3/SR 130 Seminarraum (Hinterhaus)

Isabelle Schneider

einmal, ab 09.04.2019, 10:00 - 12:00 (14 Termine)

Practice seminar for Advanced Module: Differential Equations III - Dynamical Systems III - Delay Equations

LV: 19215702

a.SAP verarbeitet

2 SWS

Alejandro Lopez Nieto

Practice seminar

Submod: 0280aA1.3.2

Akt: 04.03.2019 12:00

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

Homological Algebra

LV: 19216501

a.SAP verarbeitet

2 SWS

Tohru Kohrita

Lecture

Submod: 0280bA7.3.1

Akt: 04.03.2019 12:00

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

Practice seminar for Homological Algebra

LV: 19216502

a.SAP verarbeitet

2 SWS

Tohru Kohrita

Practice seminar

Submod: 0280bA7.3.2

Akt: 04.03.2019 12:00

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

Stochastic Differential Equations

LV: 19239601

a.SAP verarbeitet

2 SWS

Carsten Gräser

Lecture

Submod: 0280bA7.3.1

Akt: 10.04.2019 12:00

Thu, 10:00 - 12:00 (T9/051 Seminarraum)

Description

Content

Stochastic differential equations arise in many application areas, most notably, statistical physics. We will give an introduction to stochastic differential equations discussing, e.g. the concepts of stochastic processes, Brownian motion, the Wiener process, and Langevin dynamics. If time permits, we may briefly introduce some ideas of rough path theory.

Target audience

This lecture is intended to give an introduction to the topic. Applications of this may lead to possible topics for a masters thesis.

Prerequisites

Participants should have some knowledge about basic stochastic concepts, e.g., from a basic stochastics course.

Homepage

More Information can be found on the Homepage

Additional appointments

Appointment series

T9/051 Seminarraum

Carsten Gräser

einmal, ab 11.04.2019, 10:00 - 12:00 (13 Termine)

Practice seminar for Stochastic differential equations

LV: 19239602

a.SAP verarbeitet

2 SWS

No lecturers

Practice seminar

Submod: 0280bA7.3.2

Akt: 04.03.2019 12:00

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

Finite Geometry

LV: 19240501

a.SAP verarbeitet

2 SWS

Tibor Szabo

Lecture

Submod: 0280bA3.5.1

Akt: 12.04.2019 18:00

Tue, 16:00 - 18:00 (T9/SR 006 Seminarraum)

Description

References

Finite Geometry and Combinatorial Applications by Simeon Ball

An Introduction to Incidence Geometry by Bart De Bruyn

Combinatorics of finite geometries by Lynn Margaret Batten.

Incidence Geometry by G.~Eric Moorhouse

Projective Geometr' by Rey Casse

Algebraic Graph Theory by Chris Godsil and Gordon Royle

Additional appointments

Appointment series

T9/SR 006 Seminarraum

Tibor Szabo

einmal, ab 09.04.2019, 16:00 - 18:00 (14 Termine)

Practice seminar for Finite Geometry

LV: 19240502

a.SAP verarbeitet

2 SWS

Tibor Szabo

Practice seminar

Submod: 0280bA3.5.2

Akt: 18.04.2019 12:00

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

Functional Analysis Applied to Modeling of Molecular Systems

LV: 19240701

a.SAP verarbeitet

2 SWS

Luigi Delle Site

Lecture

Submod: 0280bA7.2.1

Akt: 29.03.2019 00:00

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

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

Practice seminar for Functional Analysis applied to modeling of molecular systems

LV: 19240702

a.SAP verarbeitet

2 SWS

Luigi Delle Site

Practice seminar

Submod: 0280bA7.2.2

Akt: 29.03.2019 00:00

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

Finite Group Representation Theory

LV: 19241101

a.SAP verarbeitet

2 SWS

Herbert Kupisch

Lecture

Submod: 0280bA7.3.1

Akt: 04.03.2019 12:00

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

Description

Die Vorlesung beschäftigt sich mit der Frage nach den Homomorphismen D: G pfeil-rechts GL_n (K) von Gruppen G in die allgemeine lineare Gruppe GL_n (K) über einem Körper K. Damit äquivalent ist die Frage nach den KG-Moduln über der Gruppenalgebra KG.

Vorlesungsprogramm: Wedderburn-Artine-Theorie habeinfacher Ringe, Zerfällungskörper, Charaktere, induzierte Darstellungen, klassische Ergebnisse von Frobenius, Burnside und Schur.

References

Literatur wird in der Vorlesung angegeben.

Additional appointments

Appointment series

A6/SR 009 Seminarraum

Herbert Kupisch

einmal, ab 10.04.2019, 08:00 - 10:00 (13 Termine)

Practice seminar for Finite Group Representation Theory

LV: 19241102

a.SAP verarbeitet

2 SWS

Herbert Kupisch

Practice seminar

Submod: 0280bA7.3.2

Akt: 04.03.2019 12:00

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

Module: Ergänzungsmodul Forschungsseminar (0280bA7.5)

Seminar: Mathematics of Machine Learning: Reinforcement learning

LV: 19210511

a.SAP verarbeitet

2 SWS

Pavel Gurevich

Seminar

Submod: 0084dB1.1.1

Akt: 04.03.2019 12:00

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

Description

Doing exercises (that are present in [1] in abundance) and programming is beyond the seminar’s scope. However, the students are very much encouraged to do both on their own and present the results.

The language of the seminar is English. The grades are based upon presentations and active participation.

Topics

In the list of (most) topics below, the numbers in brackets refer to the corresponding sections in [1]. As a complement, the monographs [2,3] are recommended.

Latent variables:

Mixtures of Gaussians and Expectation-Maximization (EM) algorithm for it (9.2)
General EM algorithm: part 1 (9.3.0, 9.3.1, 9.3.3)
General EM algorithm: part 2 (9.4)

Approximate inference:

Variational inference: part 1 (10.1.0-10.1.4)
Variational inference: part 2 (10.1.0-10.1.4)
Variational mixture of Gaussians: part 1 (10.2)
Variational mixture of Gaussians: part 2 (10.2)
Variational linear regression (10.3)
Local variational methods (10.5)
Variational logistic regression (10.6)
Expectation propagation: part 1 (10.7)
Expectation propagation: part 2 (10.7)

Homepage: https://www.mi.fu-berlin.de/en/math/groups/hysteresis/teaching/machine-learning3.html

References

[1] Christopher M. Bishop, Pattern recognition and machine learning, 2006.
[2] Kevin P. Murphy, Machine learning. A probabilistic approach, 2012.
[3] I. Goodfellow, Y. Bengio, A. Courville, Deep Learning, 2016

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Pavel Gurevich

einmal, ab 11.04.2019, 10:00 - 12:00 (13 Termine)

Research Module: Algebra

LV: 19214611

a.SAP verarbeitet

2 SWS

Klaus Altmann

Seminar

Submod: 0280bA2.4.1

Akt: 29.03.2019 00:00

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

Description

Inhalt:

Algebraische Varietäten

Homepage: Prof. Altmann

References

Literatur

Wird bekanntgegeben.

Additional information

Zielgruppe:

Studierende im Masterstudiengang Mathematik

Voraussetzungen

Algebra I und II

Homepage: Prof. Altmann

Additional appointments

Appointment series

A3/SR 119

Klaus Altmann

einmal, ab 11.04.2019, 14:00 - 16:00 (13 Termine)

Seminar: Real Algebra and Optimization

LV: 19216911

a.SAP verarbeitet

2 SWS

Hannah Sjöberg

Rainer Sinn

Seminar

Submod: 0280bA3.8.1

Akt: 03.04.2019 22:00

Wed, 16:00 - 18:00 (A3/SR 130 Seminarraum (Hinterhaus))

Research Module: Topology

LV: 19223811

a.SAP verarbeitet

2 SWS

Holger Reich

Elmar Vogt

Seminar

Submod: 0280bA4.5.1

Akt: 04.04.2019 00:00

Tue, 14:00 - 16:00 (A3/SR 210 Seminarraum)

Description

Cobordismtheory

References

Literature:
Thedor Bröcker, Tammo tom Dieck: Kobordismentheorie, Lecture Notes in Mathematics 178, Springer-Verlag

Additional information

Prerequisites: Familiarity with basic concepts of Algebraic Topology

Additional appointments

Appointment series

A3/SR 210 Seminarraum

Holger Reich

Elmar Vogt

einmal, ab 09.04.2019, 14:00 - 16:00 (14 Termine)

Seminar Multiscale Methods in Molecular Simulations

LV: 19226511

a.SAP verarbeitet

2 SWS

Luigi Delle Site

Seminar

Submod: 0280bA7.5.1

Akt: 04.03.2019 20:00

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

Description

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

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

References

Related Basic Literature:

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

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

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

Additional information

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

Additional appointments

Appointment series

A3/SR 130 Seminarraum (Hinterhaus)

Luigi Delle Site

einmal, ab 10.04.2019, 10:00 - 12:00 (13 Termine)

Seminar Quantum Computational Methods

LV: 19226611

a.SAP verarbeitet

2 SWS

Luigi Delle Site

Seminar

Submod: 0280bA7.5.1

Akt: 04.03.2019 20:00

Thu, 08:00 - 10:00 (A3/SR 130 Seminarraum (Hinterhaus))

Description

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

References

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

Additional information

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

Additional appointments

Appointment series

A3/SR 130 Seminarraum (Hinterhaus)

Luigi Delle Site

einmal, ab 11.04.2019, 08:00 - 10:00 (13 Termine)

Seminar Partial Differential Equations

LV: 19237811

a.SAP verarbeitet

2 SWS

Klaus Ecker

Seminar

Submod: 0280bA6.4.1

Akt: 12.04.2019 18:00

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

Optimierung im öffentlichen Verkehr

LV: 19238911

a.SAP verarbeitet

2 SWS

Natalia Kliewer

Ralf Borndörfer

Niels Lindner

Seminar

Submod: 0280bA7.5.1

Akt: 31.10.2019 22:00

Description

Content:

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

Additional information

This seminar will be implemented as a block seminar.

Location and schedule:

first meeting (introduction and paper assignment): April 09, 13:00-14:00, ZIB (Takustr. 7), Seminar room 2006 (ground floor)
second meeting (short talks): TBA in the middle of the term, probably at the WiWi faculty, one hour
final meeting (seminar talks): TBA on one or two days at the end of the semester, probably at IVU Traffic Technologies AG, Bundesallee 88, 12161 Berlin

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

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

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. Having submitted the summary is a requirement for participation.

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

Additional appointments

Hs 105, Garystr. 21

Natalia Kliewer

Ralf Borndörfer

Niels Lindner

21.05.2019 14:00 - 16:00

Hs 105, Garystr. 21

Natalia Kliewer

Ralf Borndörfer

Niels Lindner

15.07.2019 08:00 - 18:00

Appointment series

Seminar: Mathematics of Learning: from Hilbert’s 13th Problem to Fluctuating Hydrodynamics

LV: 19240811

a.SAP verarbeitet

2 SWS

Carsten Gräser

Ralf Kornhuber

Seminar

Submod: 0280bA5.4.1

Akt: 08.03.2019 02:00

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

Description

Participants are expected to have basic knowledge in numerical analysis as communicated, e.g. in the lectures Numerik I - III at FU Berlin.

Additional appointments

Appointment series

A6/SR 009 Seminarraum

Carsten Gräser

Ralf Kornhuber

einmal, ab 11.04.2019, 14:00 - 16:00 (13 Termine)

Module: Ergänzungsmodul Forschungsprojekt (0280bA7.6)

ErgänzM Forschungsprojekt: Advanced Differential Equations

LV: 19217212

a.SAP verarbeitet

4 SWS

Isabelle Schneider

Project Seminar

Submod: 0280bA7.6.1

Akt: 04.03.2019 12:00

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

Module: Ergänzungsmodul Stochastik II (0280bA7.7)

Stochastics II

LV: 19212901

a.SAP verarbeitet

4 SWS

Sebastian Krumscheid

Lecture

Submod: 0084aC7.2.1

Akt: 18.07.2019 10:00

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

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

Description

References

relevant references (in alphabetical order):

Gardiner: Handbook of Stochastic Methods (Springer, 2004)
Klenke: Wahrscheinlichkeitstheorie (Springer, 2013)
Meintrup & Schäffler: Stochastik (Springer, 2005)
Øksendal: Stochastic Differential Equations (Springer, 2010)
van Kampen: Stochastic Processes in Physics and Chemistry (Elsevier, 2007)

further reading:

Bauer: Probability Theory (De Gruyter, 1996)
Dynkin: Markov processes (Springer, 1965)
Feller: Probability Theory and Its Applications, Bd. 1 und 2 (Wiley, 1968-1971)
Kallenberg: Foundations of modern probability (Springer, 2002)

Additional information

Requirements: previous courses in analysis and probability theory (Stochastics I) are necessary.

Additional appointments

Klausur

T9/Gr. Hörsaal

Sebastian Krumscheid

15.07.2019 10:00 - 12:00

2. Klausur

A3/Hs 001 Hörsaal

Sebastian Krumscheid

26.08.2019 10:00 - 12:00

Appointment series

A3/Hs 001 Hörsaal

Sebastian Krumscheid

einmal, ab 08.04.2019, 08:00 - 10:00 (12 Termine)

A3/Hs 001 Hörsaal

Sebastian Krumscheid

einmal, ab 11.04.2019, 08:00 - 10:00 (13 Termine)

Practice seminar for Stochastics II

LV: 19212902

a.SAP verarbeitet

2 SWS

Felix Henneke

Practice seminar

Submod: 0084aC7.2.2

Akt: 15.04.2019 16:00

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

Description

Inhalt

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

Additional information

Voraussetzungen: Grundkenntnisse aus Analysis und Linearer Algebra

Additional appointments

Appointment series

A3/SR 119

Felix Henneke

einmal, ab 12.04.2019, 08:00 - 10:00 (13 Termine)

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

BMS Fridays

LV: 19223111

a.SAP verarbeitet

2 SWS

No lecturers

Seminar

Submod: 0280bA7.8.1

Akt: 04.03.2019 12:00

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

PhD Seminar "What is...?"

LV: 19217311

a.SAP verarbeitet

2 SWS

Holger Reich

Seminar

Submod: 0280bA7.9.1

Akt: 27.06.2019 14:00

Fri, 16:00 - 18:00 (A3/SR 130 Seminarraum (Hinterhaus))

Description

Content: The "What is ...?" seminar is a 30-minute weekly seminar that concisely introduces terms and ideas that are fundamental to certain fields of mathematics but may not be familiar in others.
The vast mathematical landscape in Berlin welcomes mathematicians with diverse backgrounds to work side by side, yet their paths often only cross within their individual research groups. To encourage interdisciplinary cooperation and collaboration, the "What is ...?" seminar attempts to initiate contact by introducing essential vocabulary and foundational concepts of the numerous fields represented in Berlin. The casual atmosphere of the seminar invites the audience to ask many questions and the speakers to experiment with their presentation styles.
The location of the seminar rotates among the Urania, FU, TU, and HU. On the weeks when a BMS Friday takes place, the "What is ...?" seminar topic is arranged to coincide with the Friday talk acting as an introductory talk for the BMS Friday Colloquium. For a schedule of the talks and their locations, check the website. The website is updated frequently throughout the semester.

Talks and more detailed information can be found here
Homepage: http://www.math.fu-berlin.de/w/Math/WhatIsSeminar

Additional information

The "What is ...?" seminars are usually held before the BMS Friday seminar to complement the topic of the talk.

Audience: Anybody interested in mathematics is invited to attend the "What is ...?" seminars. This includes Bachelors, Masters, Diplom, and PhD students from any field, as well as researchers like Post-Docs.
Requirements: The speakers assume that the audience has at least a general knowledge of graduate-level mathematics.

Additional appointments

Appointment series

A3/SR 130 Seminarraum (Hinterhaus)

Holger Reich

einmal, ab 12.04.2019, 16:00 - 18:00 (13 Termine)

Mathematics (0280c_MA120)

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

Basic Module: Algebra II

LV: 19214501

a.SAP verarbeitet

4 SWS

Klaus Altmann

Lecture

Submod: 0280bA2.2.1

Akt: 12.04.2019 14:00

Mon, 10:00 - 14:00 (T9/SR 005 Übungsraum)

Practice seminar for Basic Module: Algebra II

LV: 19214502

a.SAP verarbeitet

2 SWS

Anna-Lena Winz

Practice seminar

Submod: 0280bA2.2.2

Akt: 12.04.2019 14:00

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

Module: Introductory Module: Differential Geometry II (0280cA1.4)

Differential Geometry II

LV: 19214301

a.SAP verarbeitet

4 SWS

Ahmad Al-Afuni

Lecture

Submod: 0280bA1.2.1

Akt: 04.03.2019 12:00

Tue, 10:00 - 14:00 (A6/SR 007/008 Seminarraum)

Description

basic notions of differential topology
geodesics, the exponential mapping and the Hopf-Rinow theorem
comparison theorems and connections between curvature and topology
differential forms, Stokes' theorem and de Rham cohomology
spaces of constant curvature, Lie groups and homogeneous spaces
isometries, Killing fields and the Myers-Steenrod theorem

Literature: to be announced.

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Ahmad Al-Afuni

einmal, ab 09.04.2019, 10:00 - 14:00 (14 Termine)

Practice seminar for Differential geometry II

LV: 19214302

a.SAP verarbeitet

2 SWS

Ahmad Al-Afuni

Practice seminar

Submod: 0280bA1.2.2

Akt: 16.05.2019 14:00

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

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

Basic Module: Discrete Geometrie II

LV: 19214901

Bachelor's programme in Mathematics

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

Module: Analysis I (0084aA1.1)

Module: Linear Algebra I (0084aA2.1)

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

Inhalt:

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

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

Content:

Target group:

Content:

Target group:

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

Inhalt

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

Module: Analysis I (0084aA1.1)

Module: Linear Algebra I (0084aA2.1)

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

Inhalt:

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

Module: Seminar on Algorithms (0084bC6.5)

Contents

Target audience

Recommended prerequisites

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

Module: Mathematics Seminar (0084cB1.1)

Inhalt:

Zielgruppe:

Voraussetzungen:

Module: Complex Analysis (0084cB2.3)

Inhalt

Literatur:

Module: Stochastics II (0084cB2.4)

Inhalt

Module: Discrete Mathematics I (0084cB3.2)

Content:

Target group:

Content:

Target group:

Module: Seminar on Algorithms (0089bA2.8)

Contents

Target audience

Recommended prerequisites

Module: Specialisation in Mathematics (0084cB4.1)

Inhalt

Literatur

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

Introduction to Visualization

Module: Analysis I (0084cA1.1)

Module: Lineare Algebra I (0084cA1.4)

Module: Computerorientierte Mathematik II (0084cA1.7)

Inhalt:

Module: Analysis II (0084cA1.2)

Content

Module: Lineare Algebra II (0084cA1.5)

Module: Numerical Mathematics I (0084cA1.9)

Mathematics (0084d_k120)

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

Topics

Inhalt:

Zielgruppe:

Voraussetzungen:

Module: Complex Analysis (0084dB2.3)

Inhalt

Literatur:

Module: Stochastics II (0084dB2.4)

Inhalt

Module: Geometry (0084dB2.7)

Inhalt

Literatur

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

Topics

Module: Discrete Mathematics I (0084dB3.2)

Content:

Target group:

Content:

Target group:

Module: Topology I (0084dB3.6)

Module: Analysis I (0084dA1.1)

Module: Analysis II (0084dA1.2)