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

Péter Koltai

Lecture

Submod: 0084aA1.1.1

Akt: 14.02.2019 12:00

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

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

Description

This is the first part of a three semester introduction into the basic mathematical field of Analysis. Differential and integral calculus in a real variable will be covered.
Topics: - the real numbers, - the concept of limits (sequences and series) – functions (continuity and differentiability) – minima and maxima of differentiable functions, extreme value calculation – the Riemann integral, Fourier series – ordinary differential equations.

The lecture follows the script Analysis I

Further literatur:

Blatter, Ch.: Analysis 1. Springer-Verlag. xi+369 S.
Forster, O.: Analysis 1. Differential- und Integralrechnung einer Veränderlichen. Vieweg. viii+208 S.
Fritzsche, K.: Grundkurs Analysis 1 - Differentiation und Integration in einer Veränderlichen. Spektrum Verlag. xii+372 S.

Many examples, applications and useful comments can be found in

Arens, T. , et al.: Mathematik. Heidelberg: Spektrum Akademischer Verlag. 2008. xiv+1496 S.

The following book develops Analysis using a historical context

Körle, H.-H.: Die phantastische Geschichte der Analysis. Ihre Probleme und Methoden seit Demokrit und Archimedes. Dazu die Grundbegriffe von heute. Oldenbourg. 2009. xiv+217 S.

References

Die Vorlesung folgt dem Skript Analysis I

Weitere Literatur:

Blatter, Ch.: Analysis 1. Springer-Verlag. xi+369 S.
Forster, O.: Analysis 1. Differential- und Integralrechnung einer Veränderlichen. Vieweg. viii+208 S.
Fritzsche, K.: Grundkurs Analysis 1 - Differentiation und Integration in einer Veränderlichen. Spektrum Verlag. xii+372 S.

Zahlreiche Beispiele, Anwendungen und nützliche Anmerkungen findet man in

Arens, T. , et al.: Mathematik. Heidelberg: Spektrum Akademischer Verlag. 2008. xiv+1496 S.

Das folgende Buch entwickelt die Analysis aus dem historischen Kontext

Körle, H.-H.: Die phantastische Geschichte der Analysis. Ihre Probleme und Methoden seit Demokrit und Archimedes. Dazu die Grundbegriffe von heute. Oldenbourg. 2009. xiv+217 S.

Additional appointments

Klausur

Hs 1b Hörsaal

Péter Koltai

19.02.2019 08:00 - 10:00

Nachklausur

Hs 1b Hörsaal

Péter Koltai

02.04.2019 08:00 - 10:00

Appointment series

A3/Hs 001 Hörsaal

Péter Koltai

einmal, ab 16.10.2018, 08:00 - 10:00 (16 Termine)

A3/Hs 001 Hörsaal

Péter Koltai

einmal, ab 18.10.2018, 08:00 - 10:00 (16 Termine)

Übung zu Analysis I

LV: 19202802

a.SAP verarbeitet

2 SWS

Péter Koltai

Ilja Klebanov

Andreas Bittracher

Practice seminar

Submod: 0084aA1.1.2

Akt: 21.11.2018 16:00

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

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

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

Thu, 14:00 - 16:00 (T9/051 Seminarraum)

Thu, 10:00 - 12:00 (1.1.53 Seminarraum E2)

Additional appointments

Appointment series

A3/ 024 Seminarraum

Péter Koltai

Ilja Klebanov

Andreas Bittracher

einmal, ab 16.10.2018, 14:00 - 16:00 (16 Termine)

A6/SR 009 Seminarraum

Péter Koltai

Ilja Klebanov

Andreas Bittracher

einmal, ab 17.10.2018, 14:00 - 16:00 (16 Termine)

A6/SR 009 Seminarraum

Péter Koltai

Ilja Klebanov

Andreas Bittracher

einmal, ab 16.10.2018, 14:00 - 16:00 (16 Termine)

T9/051 Seminarraum

Péter Koltai

Ilja Klebanov

Andreas Bittracher

einmal, ab 18.10.2018, 14:00 - 16:00 (16 Termine)

1.1.53 Seminarraum E2

Péter Koltai

Ilja Klebanov

Andreas Bittracher

einmal, ab 22.11.2018, 10:00 - 12:00 (11 Termine)

Module: Analysis III (0084aA1.3)

Analysis III

LV: 19201301

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4 SWS

Alexander Schmitt

Lecture

Submod: 0084aA1.3.1

Akt: 14.02.2019 12:00

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

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

Description

The lecture Analysis III is the final lecture of the cycle Analysis I-III. Differentiation and integration in Rⁿ, extremes with and without constraints, integration on surfaces, the integrals of Gauss and Stokes and much more are discussed. These basics are indispensable for a successful study of mathematics.

References

Literatur

H. Amann, J. Escher: Analysis 2, Birkhäuser Verlag, 2008.
H. Amann, J. Escher: Analysis 3, Birkhäuser Verlag, 2008.
O. Forster: Analysis 2, Springer Verlag, 2012.
O. Forster: Analysis 3, Vieweg+Teubner, 2012.
H. Heuser: Lehrbuch der Analysis 2, Vieweg+Teubner, 2012.
S. Hildebrandt: Analysis 2, Springer Verlag, 2003.
J. Jost: Postmodern Analysis, Springer Verlag, 2008.
K. Königsberger: Analysis 2, Springer Verlag, 2004.
W. Rudin: Principles of Mathematical Analysis, International Series in Pure & Applied Mathematics, 1976.

und für geschichtlich Interessierte:

O. Becker: Grundlagen der Mathematik, Verlag Karl Alber, Freiburg, 1964.
E. Hairer, G. Wanner: Analysis by its History, Springer, 2000.
V.J. Katz: A History of Mathematics, Harper Collins, New York, 1993.

Additional appointments

Klausur

T9/Gr. Hörsaal

Alexander Schmitt

12.02.2019 08:00 - 10:00

zweite Klausur

A3/Hs 001 Hörsaal

Alexander Schmitt

05.04.2019 10:00 - 12:00

Appointment series

A6/SR 031 Seminarraum

Alexander Schmitt

einmal, ab 16.10.2018, 10:00 - 12:00 (16 Termine)

A6/SR 031 Seminarraum

Alexander Schmitt

einmal, ab 18.10.2018, 10:00 - 12:00 (16 Termine)

Übung zu Analysis III

LV: 19201302

a.SAP verarbeitet

2 SWS

Alejandra Rincón Hidalgo

Practice seminar

Submod: 0084aA1.3.2

Akt: 20.09.2018 16:00

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

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

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

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

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Alejandra Rincón Hidalgo

einmal, ab 16.10.2018, 08:00 - 10:00 (16 Termine)

A3/019 Seminarraum

Alejandra Rincón Hidalgo

einmal, ab 16.10.2018, 08:00 - 10:00 (16 Termine)

A3/SR 119

Alejandra Rincón Hidalgo

einmal, ab 16.10.2018, 12:00 - 14:00 (16 Termine)

T9/049 Seminarraum

Alejandra Rincón Hidalgo

einmal, ab 17.10.2018, 12:00 - 14:00 (16 Termine)

Module: Linear Algebra II (0084aA2.2)

Lineare Algebra II

LV: 19211701

a.SAP verarbeitet

4 SWS

Dirk Werner

Lecture

Submod: 0084aA2.2.1

Akt: 06.03.2019 10:00

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

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

Description

Contents:

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

Prerequisites: Linear Algebra I

Literature:

Will be mentioned in the lecture.

Additional information

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

Additional appointments

Klausur

T9/Gr. Hörsaal

Dirk Werner

20.02.2019 10:00 - 12:00

Nachklausur

A6/SR 031 Seminarraum

Dirk Werner

08.04.2019 18:00 - 20:00

Appointment series

A3/Hs 001 Hörsaal

Dirk Werner

einmal, ab 17.10.2018, 12:00 - 14:00 (16 Termine)

A3/Hs 001 Hörsaal

Dirk Werner

einmal, ab 19.10.2018, 12:00 - 14:00 (16 Termine)

Übung zu Lineare Algebra II

LV: 19211702

a.SAP verarbeitet

2 SWS

Dirk Werner

Practice seminar

Submod: 0084aA2.2.2

Akt: 17.12.2018 16:00

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

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

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

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

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Dirk Werner

einmal, ab 18.10.2018, 16:00 - 18:00 (16 Termine)

A6/SR 007/008 Seminarraum

Dirk Werner

einmal, ab 18.10.2018, 08:00 - 10:00 (16 Termine)

T9/SR 005 Übungsraum

Dirk Werner

einmal, ab 18.10.2018, 16:00 - 18:00 (16 Termine)

A6/SR 007/008 Seminarraum

Dirk Werner

einmal, ab 17.10.2018, 16:00 - 18:00 (16 Termine)

Module: Linear Algebra I (0084aA2.1)

Lineare Algebra I

LV: 19201401

a.SAP verarbeitet

4 SWS

Alexandru Constantinescu

Lecture

Submod: 0084aA2.1.1

Akt: 13.02.2019 12:00

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

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

Description

Content:

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

Prerequisites:

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

References

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

Additional appointments

Klausur

Hs 2 Hörsaal

Alexandru Constantinescu

13.02.2019 08:00 - 10:00

Nachklausur

Hs 2 Hörsaal

Alexandru Constantinescu

26.03.2019 10:00 - 12:00

Appointment series

A3/Hs 001 Hörsaal

Alexandru Constantinescu

einmal, ab 15.10.2018, 08:00 - 10:00 (16 Termine)

A3/Hs 001 Hörsaal

Alexandru Constantinescu

einmal, ab 17.10.2018, 08:00 - 10:00 (15 Termine)

Übung zu Lineare Algebra I

LV: 19201402

a.SAP verarbeitet

2 SWS

Alexandru Constantinescu

Practice seminar

Submod: 0084aA2.1.2

Akt: 24.05.2019 12:00

Fri, 14:00 - 16:00 (T9/053 Seminarraum)

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

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

Wed, 12:00 - 14:00 (T9/053 Seminarraum)

Additional appointments

Appointment series

T9/053 Seminarraum

Alexandru Constantinescu

einmal, ab 19.10.2018, 14:00 - 16:00 (16 Termine)

A3/SR 119

Alexandru Constantinescu

einmal, ab 16.10.2018, 10:00 - 12:00 (16 Termine)

A3/ 024 Seminarraum

Alexandru Constantinescu

einmal, ab 15.10.2018, 14:00 - 16:00 (16 Termine)

T9/053 Seminarraum

Alexandru Constantinescu

einmal, ab 17.10.2018, 12:00 - 14:00 (16 Termine)

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

Computerorientierte Mathematik I (5 LP)

LV: 19200501

a.SAP verarbeitet

2 SWS

Christof Schütte

Lecture

Submod: 0084aA3.1.1

Akt: 30.01.2019 12:00

Fri, 12:00 - 14:00 (T9/Gr. Hörsaal)

Description

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

Homepage: All current information on lectures and lectures

References

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

Additional appointments

Klausur

Hs 1a Hörsaal

T9/Gr. Hörsaal

Christof Schütte

15.02.2019 12:00 - 14:00

Nachklausur

Hs 1b Hörsaal

Hs 2 Hörsaal

Christof Schütte

12.04.2019 12:00 - 14:00

Appointment series

T9/Gr. Hörsaal

Christof Schütte

einmal, ab 19.10.2018, 12:00 - 14:00 (15 Termine)

Übung zu Computerorientierte Mathematik I

LV: 19200502

a.SAP verarbeitet

2 SWS

Johannes Markus Zonker

Practice seminar

Submod: 0084aA3.1.2

Akt: 22.11.2018 12:00

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

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

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

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

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

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

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

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

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

Additional appointments

Appointment series

A3/SR 119

Johannes Markus Zonker

einmal, ab 17.10.2018, 12:00 - 14:00 (16 Termine)

A3/SR 119

Johannes Markus Zonker

einmal, ab 17.10.2018, 10:00 - 12:00 (16 Termine)

A3/SR 119

Johannes Markus Zonker

einmal, ab 15.10.2018, 12:00 - 14:00 (16 Termine)

A3/019 Seminarraum

Johannes Markus Zonker

einmal, ab 19.10.2018, 14:00 - 16:00 (16 Termine)

A6/SR 007/008 Seminarraum

Johannes Markus Zonker

einmal, ab 19.10.2018, 08:00 - 10:00 (16 Termine)

A6/SR 031 Seminarraum

Johannes Markus Zonker

einmal, ab 05.11.2018, 14:00 - 16:00 (13 Termine)

A3/ 024 Seminarraum

Johannes Markus Zonker

einmal, ab 15.10.2018, 10:00 - 12:00 (16 Termine)

KöLu24-26/SR 006 Neuro/Mathe

Johannes Markus Zonker

einmal, ab 18.10.2018, 10:00 - 12:00 (3 Termine)

A6/SR 032 Seminarraum

Johannes Markus Zonker

einmal, ab 16.10.2018, 12:00 - 14:00 (16 Termine)

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

Basismodul: Algebra I

LV: 19202501

a.SAP verarbeitet

4 SWS

Klaus Altmann

Lecture

Submod: 0084aC1.1.1

Akt: 10.06.2020 14:00

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

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

Description

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

? Affine algebraic varieties

? Rings, ideals, and modules

? Noetherian rings

? Local rings and localization

? Primary decompositione

? Finite and integral extensions

? Dimension theory

? Regular rings

Target Group
Students with the prerequisites mentioned below.

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

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

Homepage: Prof. Altmann

Additional information for students

Die Vorlesung Algebra I deckt auch die Inhalte der Vorlesung Zahlentheorie I ab.

Additional appointments

Klausur

A3/Hs 001 Hörsaal

Klaus Altmann

11.02.2019 12:00 - 14:00

Nachklausur

A3/Hs 001 Hörsaal

Klaus Altmann

04.04.2019 12:00 - 14:00

Appointment series

A6/SR 032 Seminarraum

Klaus Altmann

einmal, ab 15.10.2018, 12:00 - 14:00 (15 Termine)

A6/SR 032 Seminarraum

Klaus Altmann

einmal, ab 15.10.2018, 10:00 - 12:00 (16 Termine)

Übung zu Algebra I (Kommutative Algebra)

LV: 19202502

a.Erneut änderbar

2 SWS

Andrea Petracci

Practice seminar

Submod: 0084aC1.1.2

Akt: 22.11.2018 09:50

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

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

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

Péter Koltai

Lecture

Submod: 0084aA1.1.1

Akt: 14.02.2019 12:00

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

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

Description

The lecture follows the script Analysis I

Further literatur:

Blatter, Ch.: Analysis 1. Springer-Verlag. xi+369 S.
Forster, O.: Analysis 1. Differential- und Integralrechnung einer Veränderlichen. Vieweg. viii+208 S.
Fritzsche, K.: Grundkurs Analysis 1 - Differentiation und Integration in einer Veränderlichen. Spektrum Verlag. xii+372 S.

Many examples, applications and useful comments can be found in

Arens, T. , et al.: Mathematik. Heidelberg: Spektrum Akademischer Verlag. 2008. xiv+1496 S.

The following book develops Analysis using a historical context

Körle, H.-H.: Die phantastische Geschichte der Analysis. Ihre Probleme und Methoden seit Demokrit und Archimedes. Dazu die Grundbegriffe von heute. Oldenbourg. 2009. xiv+217 S.

References

Die Vorlesung folgt dem Skript Analysis I

Weitere Literatur:

Blatter, Ch.: Analysis 1. Springer-Verlag. xi+369 S.
Forster, O.: Analysis 1. Differential- und Integralrechnung einer Veränderlichen. Vieweg. viii+208 S.
Fritzsche, K.: Grundkurs Analysis 1 - Differentiation und Integration in einer Veränderlichen. Spektrum Verlag. xii+372 S.

Zahlreiche Beispiele, Anwendungen und nützliche Anmerkungen findet man in

Arens, T. , et al.: Mathematik. Heidelberg: Spektrum Akademischer Verlag. 2008. xiv+1496 S.

Das folgende Buch entwickelt die Analysis aus dem historischen Kontext

Körle, H.-H.: Die phantastische Geschichte der Analysis. Ihre Probleme und Methoden seit Demokrit und Archimedes. Dazu die Grundbegriffe von heute. Oldenbourg. 2009. xiv+217 S.

Additional appointments

Klausur

Hs 1b Hörsaal

Péter Koltai

19.02.2019 08:00 - 10:00

Nachklausur

Hs 1b Hörsaal

Péter Koltai

02.04.2019 08:00 - 10:00

Appointment series

A3/Hs 001 Hörsaal

Péter Koltai

einmal, ab 16.10.2018, 08:00 - 10:00 (16 Termine)

A3/Hs 001 Hörsaal

Péter Koltai

einmal, ab 18.10.2018, 08:00 - 10:00 (16 Termine)

Übung zu Analysis I

LV: 19202802

a.SAP verarbeitet

2 SWS

Péter Koltai

Ilja Klebanov

Andreas Bittracher

Practice seminar

Submod: 0084aA1.1.2

Akt: 21.11.2018 16:00

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

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

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

Thu, 14:00 - 16:00 (T9/051 Seminarraum)

Thu, 10:00 - 12:00 (1.1.53 Seminarraum E2)

Additional appointments

Appointment series

A3/ 024 Seminarraum

Péter Koltai

Ilja Klebanov

Andreas Bittracher

einmal, ab 16.10.2018, 14:00 - 16:00 (16 Termine)

A6/SR 009 Seminarraum

Péter Koltai

Ilja Klebanov

Andreas Bittracher

einmal, ab 17.10.2018, 14:00 - 16:00 (16 Termine)

A6/SR 009 Seminarraum

Péter Koltai

Ilja Klebanov

Andreas Bittracher

einmal, ab 16.10.2018, 14:00 - 16:00 (16 Termine)

T9/051 Seminarraum

Péter Koltai

Ilja Klebanov

Andreas Bittracher

einmal, ab 18.10.2018, 14:00 - 16:00 (16 Termine)

1.1.53 Seminarraum E2

Péter Koltai

Ilja Klebanov

Andreas Bittracher

einmal, ab 22.11.2018, 10:00 - 12:00 (11 Termine)

Module: Analysis III (0084aA1.3)

Analysis III

LV: 19201301

a.SAP verarbeitet

4 SWS

Alexander Schmitt

Lecture

Submod: 0084aA1.3.1

Akt: 14.02.2019 12:00

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

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

Description

References

Literatur

H. Amann, J. Escher: Analysis 2, Birkhäuser Verlag, 2008.
H. Amann, J. Escher: Analysis 3, Birkhäuser Verlag, 2008.
O. Forster: Analysis 2, Springer Verlag, 2012.
O. Forster: Analysis 3, Vieweg+Teubner, 2012.
H. Heuser: Lehrbuch der Analysis 2, Vieweg+Teubner, 2012.
S. Hildebrandt: Analysis 2, Springer Verlag, 2003.
J. Jost: Postmodern Analysis, Springer Verlag, 2008.
K. Königsberger: Analysis 2, Springer Verlag, 2004.
W. Rudin: Principles of Mathematical Analysis, International Series in Pure & Applied Mathematics, 1976.

und für geschichtlich Interessierte:

O. Becker: Grundlagen der Mathematik, Verlag Karl Alber, Freiburg, 1964.
E. Hairer, G. Wanner: Analysis by its History, Springer, 2000.
V.J. Katz: A History of Mathematics, Harper Collins, New York, 1993.

Additional appointments

Klausur

T9/Gr. Hörsaal

Alexander Schmitt

12.02.2019 08:00 - 10:00

zweite Klausur

A3/Hs 001 Hörsaal

Alexander Schmitt

05.04.2019 10:00 - 12:00

Appointment series

A6/SR 031 Seminarraum

Alexander Schmitt

einmal, ab 16.10.2018, 10:00 - 12:00 (16 Termine)

A6/SR 031 Seminarraum

Alexander Schmitt

einmal, ab 18.10.2018, 10:00 - 12:00 (16 Termine)

Übung zu Analysis III

LV: 19201302

a.SAP verarbeitet

2 SWS

Alejandra Rincón Hidalgo

Practice seminar

Submod: 0084aA1.3.2

Akt: 20.09.2018 16:00

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

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

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

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

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Alejandra Rincón Hidalgo

einmal, ab 16.10.2018, 08:00 - 10:00 (16 Termine)

A3/019 Seminarraum

Alejandra Rincón Hidalgo

einmal, ab 16.10.2018, 08:00 - 10:00 (16 Termine)

A3/SR 119

Alejandra Rincón Hidalgo

einmal, ab 16.10.2018, 12:00 - 14:00 (16 Termine)

T9/049 Seminarraum

Alejandra Rincón Hidalgo

einmal, ab 17.10.2018, 12:00 - 14:00 (16 Termine)

Module: Linear Algebra II (0084aA2.2)

Lineare Algebra II

LV: 19211701

a.SAP verarbeitet

4 SWS

Dirk Werner

Lecture

Submod: 0084aA2.2.1

Akt: 06.03.2019 10:00

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

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

Description

Contents:

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

Prerequisites: Linear Algebra I

Literature:

Will be mentioned in the lecture.

Additional information

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

Additional appointments

Klausur

T9/Gr. Hörsaal

Dirk Werner

20.02.2019 10:00 - 12:00

Nachklausur

A6/SR 031 Seminarraum

Dirk Werner

08.04.2019 18:00 - 20:00

Appointment series

A3/Hs 001 Hörsaal

Dirk Werner

einmal, ab 17.10.2018, 12:00 - 14:00 (16 Termine)

A3/Hs 001 Hörsaal

Dirk Werner

einmal, ab 19.10.2018, 12:00 - 14:00 (16 Termine)

Übung zu Lineare Algebra II

LV: 19211702

a.SAP verarbeitet

2 SWS

Dirk Werner

Practice seminar

Submod: 0084aA2.2.2

Akt: 17.12.2018 16:00

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

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

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

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

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Dirk Werner

einmal, ab 18.10.2018, 16:00 - 18:00 (16 Termine)

A6/SR 007/008 Seminarraum

Dirk Werner

einmal, ab 18.10.2018, 08:00 - 10:00 (16 Termine)

T9/SR 005 Übungsraum

Dirk Werner

einmal, ab 18.10.2018, 16:00 - 18:00 (16 Termine)

A6/SR 007/008 Seminarraum

Dirk Werner

einmal, ab 17.10.2018, 16:00 - 18:00 (16 Termine)

Module: Linear Algebra I (0084aA2.1)

Lineare Algebra I

LV: 19201401

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4 SWS

Alexandru Constantinescu

Lecture

Submod: 0084aA2.1.1

Akt: 13.02.2019 12:00

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

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

Description

Content:

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

Prerequisites:

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

References

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

Additional appointments

Klausur

Hs 2 Hörsaal

Alexandru Constantinescu

13.02.2019 08:00 - 10:00

Nachklausur

Hs 2 Hörsaal

Alexandru Constantinescu

26.03.2019 10:00 - 12:00

Appointment series

A3/Hs 001 Hörsaal

Alexandru Constantinescu

einmal, ab 15.10.2018, 08:00 - 10:00 (16 Termine)

A3/Hs 001 Hörsaal

Alexandru Constantinescu

einmal, ab 17.10.2018, 08:00 - 10:00 (15 Termine)

Übung zu Lineare Algebra I

LV: 19201402

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2 SWS

Alexandru Constantinescu

Practice seminar

Submod: 0084aA2.1.2

Akt: 24.05.2019 12:00

Fri, 14:00 - 16:00 (T9/053 Seminarraum)

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

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

Wed, 12:00 - 14:00 (T9/053 Seminarraum)

Additional appointments

Appointment series

T9/053 Seminarraum

Alexandru Constantinescu

einmal, ab 19.10.2018, 14:00 - 16:00 (16 Termine)

A3/SR 119

Alexandru Constantinescu

einmal, ab 16.10.2018, 10:00 - 12:00 (16 Termine)

A3/ 024 Seminarraum

Alexandru Constantinescu

einmal, ab 15.10.2018, 14:00 - 16:00 (16 Termine)

T9/053 Seminarraum

Alexandru Constantinescu

einmal, ab 17.10.2018, 12:00 - 14:00 (16 Termine)

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

Computerorientierte Mathematik I (5 LP)

LV: 19200501

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2 SWS

Christof Schütte

Lecture

Submod: 0084aA3.1.1

Akt: 30.01.2019 12:00

Fri, 12:00 - 14:00 (T9/Gr. Hörsaal)

Description

Homepage: All current information on lectures and lectures

References

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

Additional appointments

Klausur

Hs 1a Hörsaal

T9/Gr. Hörsaal

Christof Schütte

15.02.2019 12:00 - 14:00

Nachklausur

Hs 1b Hörsaal

Hs 2 Hörsaal

Christof Schütte

12.04.2019 12:00 - 14:00

Appointment series

T9/Gr. Hörsaal

Christof Schütte

einmal, ab 19.10.2018, 12:00 - 14:00 (15 Termine)

Übung zu Computerorientierte Mathematik I

LV: 19200502

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2 SWS

Johannes Markus Zonker

Practice seminar

Submod: 0084aA3.1.2

Akt: 22.11.2018 12:00

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

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

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

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

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

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

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

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

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

Additional appointments

Appointment series

A3/SR 119

Johannes Markus Zonker

einmal, ab 17.10.2018, 12:00 - 14:00 (16 Termine)

A3/SR 119

Johannes Markus Zonker

einmal, ab 17.10.2018, 10:00 - 12:00 (16 Termine)

A3/SR 119

Johannes Markus Zonker

einmal, ab 15.10.2018, 12:00 - 14:00 (16 Termine)

A3/019 Seminarraum

Johannes Markus Zonker

einmal, ab 19.10.2018, 14:00 - 16:00 (16 Termine)

A6/SR 007/008 Seminarraum

Johannes Markus Zonker

einmal, ab 19.10.2018, 08:00 - 10:00 (16 Termine)

A6/SR 031 Seminarraum

Johannes Markus Zonker

einmal, ab 05.11.2018, 14:00 - 16:00 (13 Termine)

A3/ 024 Seminarraum

Johannes Markus Zonker

einmal, ab 15.10.2018, 10:00 - 12:00 (16 Termine)

KöLu24-26/SR 006 Neuro/Mathe

Johannes Markus Zonker

einmal, ab 18.10.2018, 10:00 - 12:00 (3 Termine)

A6/SR 032 Seminarraum

Johannes Markus Zonker

einmal, ab 16.10.2018, 12:00 - 14:00 (16 Termine)

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

Stochastik I

LV: 19200601

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4 SWS

Timothy John Sullivan

Lecture

Submod: 0084bA4.2.1

Akt: 19.12.2018 10:00

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

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

Description

Content:

Models for situations involving chance: probability spaces, probability measures; frequentist and Bayesian interpretations of probability.
Conditional probabilities and expectations.
Random variables and their distributions; Characteristic values of the distributions: the expectation and variance
Discrete distributions: e.g. the uniform, binomial, geometric, and Poisson distributions.
Distributions with densities: e.g. the uniform, normal, and exponential distributions.
Joint distributions of several random variables: independence of random variables; conditional distributions; sums of independent random variables and their distributions.
Features of common distributions: expectation, covariance and correlation; characteristic and generating functions.
Approximation of the binomial distribution by the Poisson and normal distributions.
Limit theorems: the weak and strong laws of large numbers; the central limit theorem.
Data analysis and descriptive statistics: histograms; empirical distribution; features of sample distributions; examples of misleading descriptive statistics; linear regression.
Basic concepts and techniques of testing and estimation: maximum likelihood principle; confidence intervals; hypothesis testing; type I and type II errors.

References

literature

E. Behrends: Elementary Stochastics, Springer, 2013
H.-O. Georgii: Stochastics: Introduction to Probability Theory and Statistics, De Gruyter, 2007
U. Krengel: introduction to Probability Theory and Statistics, Vieweg, 2005
D. Meintrup, S. Schäffler, Stochastics: Theory and Applications, Springer, 2005

Most of the books listed are available online via the UB.

Additional information

Audience:
Students from the 3rd semester

Requirements:
Basics of Analysis and Linear Algebra

Additional appointments

Klausur

HFB/B Hörsaal

Timothy John Sullivan

15.02.2019 12:30 - 15:30

Appointment series

A6/SR 031 Seminarraum

Timothy John Sullivan

einmal, ab 18.10.2018, 08:00 - 10:00 (16 Termine)

A6/SR 031 Seminarraum

Timothy John Sullivan

einmal, ab 15.10.2018, 08:00 - 10:00 (16 Termine)

Übung zu Stochastik I

LV: 19200602

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2 SWS

Timothy John Sullivan

Han Cheng Lie

Practice seminar

Submod: 0084bA4.2.2

Akt: 07.03.2019 14:00

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

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

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

Additional appointments

Appointment series

A6/SR 025/026 Seminarraum

Timothy John Sullivan

Han Cheng Lie

einmal, ab 16.10.2018, 16:00 - 18:00 (16 Termine)

A3/SR 210 Seminarraum

Timothy John Sullivan

Han Cheng Lie

einmal, ab 15.10.2018, 12:00 - 14:00 (16 Termine)

A3/ 024 Seminarraum

Timothy John Sullivan

Han Cheng Lie

einmal, ab 15.10.2018, 12:00 - 14:00 (16 Termine)

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

Basismodul: Algebra I

LV: 19202501

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4 SWS

Klaus Altmann

Lecture

Submod: 0084aC1.1.1

Akt: 10.06.2020 14:00

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

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

Description

? Affine algebraic varieties

? Rings, ideals, and modules

? Noetherian rings

? Local rings and localization

? Primary decompositione

? Finite and integral extensions

? Dimension theory

? Regular rings

Target Group
Students with the prerequisites mentioned below.

Homepage: Prof. Altmann

Additional information for students

Die Vorlesung Algebra I deckt auch die Inhalte der Vorlesung Zahlentheorie I ab.

Additional appointments

Klausur

A3/Hs 001 Hörsaal

Klaus Altmann

11.02.2019 12:00 - 14:00

Nachklausur

A3/Hs 001 Hörsaal

Klaus Altmann

04.04.2019 12:00 - 14:00

Appointment series

A6/SR 032 Seminarraum

Klaus Altmann

einmal, ab 15.10.2018, 12:00 - 14:00 (15 Termine)

A6/SR 032 Seminarraum

Klaus Altmann

einmal, ab 15.10.2018, 10:00 - 12:00 (16 Termine)

Übung zu Algebra I (Kommutative Algebra)

LV: 19202502

a.Erneut änderbar

2 SWS

Andrea Petracci

Practice seminar

Submod: 0084aC1.1.2

Akt: 22.11.2018 09:50

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

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

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

Algebra und Zahlentheorie

LV: 19200701

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4 SWS

Victoria Hoskins

Lecture

Submod: 0084bC1.6.1

Akt: 17.01.2019 14:00

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

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

Description

Subject matter:
Selected topics from:

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

Additional appointments

Klausur

HFB/B Hörsaal

Victoria Hoskins

14.02.2019 12:00 - 14:00

Nachklausur

T9/Gr. Hörsaal

Victoria Hoskins

28.03.2019 14:00 - 16:00

Appointment series

A3/Hs 001 Hörsaal

Victoria Hoskins

einmal, ab 16.10.2018, 12:00 - 14:00 (16 Termine)

A3/Hs 001 Hörsaal

Victoria Hoskins

einmal, ab 18.10.2018, 12:00 - 14:00 (15 Termine)

Übung zu Algebra und Zahlentheorie

LV: 19200702

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2 SWS

Victoria Hoskins

Practice seminar

Submod: 0084bC1.6.2

Akt: 25.03.2019 10:00

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

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

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

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

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Victoria Hoskins

einmal, ab 23.10.2018, 14:00 - 16:00 (15 Termine)

A3/SR 119

Victoria Hoskins

einmal, ab 17.10.2018, 14:00 - 16:00 (16 Termine)

A3/SR 119

Victoria Hoskins

einmal, ab 17.10.2018, 16:00 - 18:00 (16 Termine)

A3/ 024 Seminarraum

Victoria Hoskins

einmal, ab 18.10.2018, 14:00 - 16:00 (16 Termine)

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

Funktionalanalysis

LV: 19201901

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4 SWS

Stefan Klus

Luigi Delle Site

Lecture

Submod: 0084bC2.2.1

Akt: 29.01.2019 14:00

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

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

Description

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

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

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

References

Literatur:

Hans Wilhelm Alt: Lineare Funktionalanalysis : eine anwendungsorientierte Einführung. 5. Auflage. Springer-Verlag, 2006, ISBN 3-540-34186-2
Harro Heuser: Funktionalanalysis: Theorie und Anwendung. 3. Auflage. Teubner-Verlag, 1992, ISBN 3-519-22206-X
Dirk Werner: Funktionalanalysis, 7. Auflage, Springer-Verlag 2011, ISBN 978-3-642-21016-7

Additional appointments

Klausur

1.1.53 Seminarraum E2

A6/SR 007/008 Seminarraum

Stefan Klus

Luigi Delle Site

14.02.2019 10:00 - 12:00

Nachklausur

A6/SR 007/008 Seminarraum

Stefan Klus

Luigi Delle Site

04.04.2019 10:00 - 12:00

Appointment series

A6/SR 007/008 Seminarraum

Stefan Klus

Luigi Delle Site

einmal, ab 16.10.2018, 10:00 - 12:00 (16 Termine)

A6/SR 007/008 Seminarraum

Stefan Klus

Luigi Delle Site

einmal, ab 18.10.2018, 10:00 - 12:00 (15 Termine)

Übung zu Funktionalanalysis

LV: 19201902

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2 SWS

Stefan Klus

Luigi Delle Site

Practice seminar

Submod: 0084bC2.2.2

Akt: 22.01.2019 14:00

Tue, 12:00 - 14:00 (1.1.26 Seminarraum E1)

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

Differentialgleichungen II - Dynamical Systems II

LV: 19201601

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4 SWS

Bernold Fiedler

Lecture

Submod: 0084bC2.4.1

Akt: 20.09.2018 08:16

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

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

Description

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

- Dynamical systems in continuous and discrete time;

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

- Stable and unstable manifolds;

- Shift dynamics and chaos;

- Hyperbolic dynamics;

- Center manifolds;

- Poincaré-Birkhoff normal form;

- Introduction to perturbation theory;

- Introduction to bifurcation theory;

- Introduction to ergodic theory.

Requirement: Differential Equations I

References

Literatur wird in der Vorlesung bekannt gegeben.

Additional appointments

Appointment series

A3/SR 130 Seminarraum (Hinterhaus)

Bernold Fiedler

einmal, ab 18.10.2018, 10:00 - 12:00 (16 Termine)

A3/SR 130 Seminarraum (Hinterhaus)

Bernold Fiedler

einmal, ab 16.10.2018, 10:00 - 12:00 (16 Termine)

Übung zu Differentialgleichungen II

LV: 19201602

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2 SWS

Hannes Stuke

Alejandro Lopez Nieto

Practice seminar

Submod: 0084bC2.4.2

Akt: 05.02.2019 12:00

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

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

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

Differentialgleichungen II - Dynamical Systems II

LV: 19201601

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4 SWS

Bernold Fiedler

Lecture

Submod: 0084bC2.4.1

Akt: 20.09.2018 08:16

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

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

Description

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

- Dynamical systems in continuous and discrete time;

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

- Stable and unstable manifolds;

- Shift dynamics and chaos;

- Hyperbolic dynamics;

- Center manifolds;

- Poincaré-Birkhoff normal form;

- Introduction to perturbation theory;

- Introduction to bifurcation theory;

- Introduction to ergodic theory.

Requirement: Differential Equations I

References

Literatur wird in der Vorlesung bekannt gegeben.

Additional appointments

Appointment series

A3/SR 130 Seminarraum (Hinterhaus)

Bernold Fiedler

einmal, ab 18.10.2018, 10:00 - 12:00 (16 Termine)

A3/SR 130 Seminarraum (Hinterhaus)

Bernold Fiedler

einmal, ab 16.10.2018, 10:00 - 12:00 (16 Termine)

Übung zu Differentialgleichungen II

LV: 19201602

a.SAP verarbeitet

2 SWS

Hannes Stuke

Alejandro Lopez Nieto

Practice seminar

Submod: 0084bC2.4.2

Akt: 05.02.2019 12:00

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

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

Module: Analysis Seminar (0084bC2.11)

Proseminar/Seminar zur Analysis

LV: 19200910

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2 SWS

Dirk Werner

Proseminar

Submod: 0084bC2.11.1

Akt: 06.03.2019 10:00

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

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

Cryptography and Security in Distributed Systems

LV: 19303601

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4 SWS

Volker Roth

Lecture

Submod: 0084bC3.6.1

Akt: 22.11.2018 14:00

Thu, 12:00 - 14:00 (T9/053 Seminarraum)

Tue, 16:00 - 18:00 (T9/053 Seminarraum)

Description

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

References

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

Weitere noch zu bestimmende Literatur und Primärquellen.

Additional information

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

Additional appointments

Appointment series

T9/053 Seminarraum

Volker Roth

einmal, ab 18.10.2018, 12:00 - 14:00 (16 Termine)

T9/053 Seminarraum

Volker Roth

einmal, ab 16.10.2018, 16:00 - 18:00 (16 Termine)

Practice seminar for Cryptography and Security in Distributed Systems

LV: 19303602

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2 SWS

Benjamin Güldenring

Practice seminar

Submod: 0084bC3.6.2

Akt: 22.11.2018 14:00

Wed, 14:00 - 16:00 (T9/053 Seminarraum)

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

Diskrete Geometrie I

LV: 19202001

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4 SWS

Pavle Blagojevic

Lecture

Submod: 0084bC3.1.1

Akt: 05.02.2019 12:00

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

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

Description

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

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

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

References

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

Additional information

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

Additional appointments

Klausur

T9/Gr. Hörsaal

Pavle Blagojevic

19.02.2019 10:00 - 12:00

Appointment series

A6/SR 032 Seminarraum

Pavle Blagojevic

einmal, ab 17.10.2018, 10:00 - 12:00 (16 Termine)

A6/SR 032 Seminarraum

Pavle Blagojevic

einmal, ab 16.10.2018, 08:00 - 10:00 (16 Termine)

Übung zu Diskrete Geometrie I

LV: 19202002

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2 SWS

Hannah Sjöberg

Practice seminar

Submod: 0084bC3.1.2

Akt: 20.09.2018 08:16

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

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

Basismodul: Numerik II

LV: 19202101

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4 SWS

Volker John

Lecture

Submod: 0084bC5.1.1

Akt: 22.11.2018 12:00

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

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

Description

The course will present two topics: numerical methods for stiff ordinary differential equations and iterative schemes for the solution of linear systems of equations.

Lecture notes will be available.

Homepage der Vorlesung: http://www.wias-berlin.de/people/john/LEHRE/lehre.html

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Volker John

einmal, ab 15.10.2018, 14:00 - 16:00 (16 Termine)

A6/SR 007/008 Seminarraum

Volker John

einmal, ab 15.10.2018, 10:00 - 12:00 (16 Termine)

Übung zu Basismodul: Numerik II

LV: 19202102

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2 SWS

Volker John

Practice seminar

Submod: 0084bC5.1.2

Akt: 22.11.2018 12:00

Thu, 12:00 - 14:00 (KöLu24-26/SR 006 Neuro/MatheT9/046 Seminarraum)

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

Algorithms, Data Structures, and Data Abstraction

LV: 19300201

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4 SWS

Wolfgang Mulzer

Lecture

Submod: 0084bC6.2.1

Akt: 01.04.2019 16:00

Tue, 14:00 - 16:00 (T9/Gr. Hörsaal)

Thu, 14:00 - 16:00 (T9/Gr. Hörsaal)

Description

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

References

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

Additional appointments

Klausur

HFB/A Hörsaal

HFB/B Hörsaal

HFB/D Hörsaal

T9/Gr. Hörsaal

Wolfgang Mulzer

14.02.2019 14:00 - 16:00

Einsicht

T9/055 Seminarraum

Wolfgang Mulzer

20.02.2019 13:00 - 14:00

Nachklausur

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

T9/Gr. Hörsaal

Wolfgang Mulzer

01.04.2019 10:00 - 12:00

Einsicht

T9/SR 005 Übungsraum

Wolfgang Mulzer

09.04.2019 09:00 - 10:00

Appointment series

T9/Gr. Hörsaal

Wolfgang Mulzer

einmal, ab 16.10.2018, 14:00 - 16:00 (16 Termine)

T9/Gr. Hörsaal

Wolfgang Mulzer

einmal, ab 18.10.2018, 14:00 - 16:00 (15 Termine)

Practice seminar for Algorithms, Data Structures, and Data Abstraction

LV: 19300202

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2 SWS

Wolfgang Mulzer

Practice seminar

Submod: 0084bC6.2.2

Akt: 08.03.2019 00:00

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

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

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

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

Mon, 14:00 - 16:00 (T9/055 Seminarraum)

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

Tue, 08:00 - 10:00 (T9/SR 006 Seminarraum)

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

Tue, 10:00 - 12:00 (T9/055 Seminarraum)

Fri, 08:00 - 10:00 (T9/055 Seminarraum)

Tue, 12:00 - 14:00 (A7/SR 031)

Additional appointments

T9/051 Seminarraum

Wolfgang Mulzer

15.10.2018 16:00 - 18:00

Sondertutorium

T9/049 Seminarraum

Wolfgang Mulzer

21.01.2019 10:00 - 12:00

Pruefungsvorbereitung

T9/SR 005 Übungsraum

Wolfgang Mulzer

11.02.2019 18:00 - 20:00

Zusatztutorium

T9/SR 005 Übungsraum

Wolfgang Mulzer

29.03.2019 12:00 - 14:00

Appointment series

A6/SR 031 Seminarraum

Wolfgang Mulzer

einmal, ab 16.10.2018, 16:00 - 18:00 (16 Termine)

A6/SR 009 Seminarraum

Wolfgang Mulzer

einmal, ab 16.10.2018, 12:00 - 14:00 (16 Termine)

T9/046 Seminarraum

Wolfgang Mulzer

einmal, ab 17.10.2018, 16:00 - 18:00 (16 Termine)

A7/SR 031

Wolfgang Mulzer

einmal, ab 15.10.2018, 16:00 - 18:00 (16 Termine)

T9/055 Seminarraum

Wolfgang Mulzer

einmal, ab 15.10.2018, 14:00 - 16:00 (16 Termine)

A7/SR 031

Wolfgang Mulzer

einmal, ab 17.10.2018, 14:00 - 16:00 (16 Termine)

T9/SR 006 Seminarraum

Wolfgang Mulzer

einmal, ab 16.10.2018, 08:00 - 10:00 (16 Termine)

T9/SR 006 Seminarraum

Wolfgang Mulzer

einmal, ab 19.10.2018, 14:00 - 16:00 (16 Termine)

T9/055 Seminarraum

Wolfgang Mulzer

einmal, ab 16.10.2018, 10:00 - 12:00 (16 Termine)

T9/055 Seminarraum

Wolfgang Mulzer

einmal, ab 19.10.2018, 08:00 - 10:00 (16 Termine)

A7/SR 031

Wolfgang Mulzer

einmal, ab 16.10.2018, 12:00 - 14:00 (16 Termine)

Module: Special Lecture - Higher Algorithms (0084bC6.4)

Advanced Algorithms

LV: 19303501

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4 SWS

László Kozma

Lecture

Submod: 0084bC6.4.1

Akt: 22.11.2018 14:00

Fri, 10:00 - 12:00 (T9/SR 006 Seminarraum)

Mon, 10:00 - 12:00 (T9/SR 006 Seminarraum)

Description

The class focuses on topics such as

general principles of algorithm design,
network flows,
number-theoretic algorithms (including the RSA crypto system),
string matching,
NP-completeness,
approximation algorithms for hard problems,
arithmetic algorithms and circuits, fast fourier transform.

References

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

Additional information

Target audience

All Master and Bachelor students who are interested in algorithms.

Prerequisites

Basic familiarity with the design and analysis of algorithms.

Additional appointments

Klausur

A3/Hs 001 Hörsaal

László Kozma

22.02.2019 10:00 - 12:00

Nachklausur

A3/Hs 001 Hörsaal

László Kozma

04.04.2019 10:00 - 12:00

Appointment series

T9/SR 006 Seminarraum

László Kozma

wöchentlich, ab 19.10.2018, 10:00 - 12:00 (16 Termine)

T9/SR 006 Seminarraum

László Kozma

wöchentlich, ab 15.10.2018, 10:00 - 12:00 (16 Termine)

Practice seminar for Advanced Algorithms

LV: 19303502

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2 SWS

Katharina Klost

László Kozma

Practice seminar

Submod: 0084bC6.4.2

Akt: 22.11.2018 14:00

Wed, 10:00 - 12:00 (T9/055 Seminarraum)

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

Additional appointments

A6/SR 025/026 Seminarraum

Katharina Klost

László Kozma

23.10.2018 14:00 - 16:00

Appointment series

T9/055 Seminarraum

Katharina Klost

László Kozma

wöchentlich, ab 24.10.2018, 10:00 - 12:00 (15 Termine)

A6/SR 025/026 Seminarraum

Katharina Klost

László Kozma

wöchentlich, ab 30.10.2018, 14:00 - 16:00 (14 Termine)

Module: Seminar on Algorithms (0084bC6.5)

Seminar on Algorithms

LV: 19306711

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2 SWS

Helmut Alt

Seminar

Submod: 0084bC6.5.1

Akt: 22.11.2018 14:00

Tue, 14:00 - 16:00 (T9/053 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

T9/053 Seminarraum

Helmut Alt

einmal, ab 16.10.2018, 14:00 - 16:00 (16 Termine)

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

Module: Mathematics Seminar (0084cB1.1)

Proseminar/Seminar zur Analysis

LV: 19200910

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2 SWS

Dirk Werner

Proseminar

Submod: 0084bC2.11.1

Akt: 06.03.2019 10:00

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

Seminar zur Diskreten Mathematik I

LV: 19202211

a.Erneut änderbar

2 SWS

Tibor Szabo

Seminar

Submod: 0084cB1.1.1

Akt: 22.11.2018 09:50

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

Description

This seminar will continue the study of the concepts related to enumerative combinatorics and discrete structures related to the class Discrete Mathematics 1. Depending on interest, it will cover various topics among the follow:

- Algebraic Methods (Group theory, Symmetric Group, Group actions, Polya Theory, Holonomic sequences, Hypergeometric sequences),

- Generating Functions (Polynomials, Quasi-polynomials, Transfer-matrix method, Basics of species)

- Facial enumeration of simplicial complexes (Kruskal-Katona and Frankl-Furedi-Kalai Theorems),

- Embedding of graphs and simplicial complexes (van Kampen-Flores Theorem),

- Poset and Lattice theory (Tarski's Fixed Point Theorem, Boolean Algebras, Fundamental Theorem of Finite Distributive Lattices, Galois connection theorems),

References

The seminar's material will follow the book titled The Erdos Distance Problem, by Julia Garibaldi, Alex Iosevich and Steven Senger, and the references therein.

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Tibor Szabo

einmal, ab 16.10.2018, 12:00 - 14:00 (16 Termine)

Proseminar/Seminar zur Geometrie

LV: 19213710

a.Erneut änderbar

2 SWS

Jean-Philippe Labbé

Proseminar

Submod: 0084cB1.1.1

Akt: 22.11.2018 09:50

Tue, 14:00 - 16:00 ()

Description

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

Additional appointments

Appointment series

Jean-Philippe Labbé

einmal, ab 16.10.2018, 14:00 - 16:00 (16 Termine)

Seminar Geschichte(n) der Dynamik 2

LV: 19239811

a.Erneut änderbar

2 SWS

Bernold Fiedler

Seminar

Submod: 0084cB1.1.1

Akt: 28.03.2019 12:05

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

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

Algorithms, Data Structures, and Data Abstraction

LV: 19300201

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4 SWS

Wolfgang Mulzer

Lecture

Submod: 0084bC6.2.1

Akt: 01.04.2019 16:00

Tue, 14:00 - 16:00 (T9/Gr. Hörsaal)

Thu, 14:00 - 16:00 (T9/Gr. Hörsaal)

Description

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

References

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

Additional appointments

Klausur

HFB/A Hörsaal

HFB/B Hörsaal

HFB/D Hörsaal

T9/Gr. Hörsaal

Wolfgang Mulzer

14.02.2019 14:00 - 16:00

Einsicht

T9/055 Seminarraum

Wolfgang Mulzer

20.02.2019 13:00 - 14:00

Nachklausur

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

T9/Gr. Hörsaal

Wolfgang Mulzer

01.04.2019 10:00 - 12:00

Einsicht

T9/SR 005 Übungsraum

Wolfgang Mulzer

09.04.2019 09:00 - 10:00

Appointment series

T9/Gr. Hörsaal

Wolfgang Mulzer

einmal, ab 16.10.2018, 14:00 - 16:00 (16 Termine)

T9/Gr. Hörsaal

Wolfgang Mulzer

einmal, ab 18.10.2018, 14:00 - 16:00 (15 Termine)

Practice seminar for Algorithms, Data Structures, and Data Abstraction

LV: 19300202

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2 SWS

Wolfgang Mulzer

Practice seminar

Submod: 0084bC6.2.2

Akt: 08.03.2019 00:00

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

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

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

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

Mon, 14:00 - 16:00 (T9/055 Seminarraum)

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

Tue, 08:00 - 10:00 (T9/SR 006 Seminarraum)

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

Tue, 10:00 - 12:00 (T9/055 Seminarraum)

Fri, 08:00 - 10:00 (T9/055 Seminarraum)

Tue, 12:00 - 14:00 (A7/SR 031)

Additional appointments

T9/051 Seminarraum

Wolfgang Mulzer

15.10.2018 16:00 - 18:00

Sondertutorium

T9/049 Seminarraum

Wolfgang Mulzer

21.01.2019 10:00 - 12:00

Pruefungsvorbereitung

T9/SR 005 Übungsraum

Wolfgang Mulzer

11.02.2019 18:00 - 20:00

Zusatztutorium

T9/SR 005 Übungsraum

Wolfgang Mulzer

29.03.2019 12:00 - 14:00

Appointment series

A6/SR 031 Seminarraum

Wolfgang Mulzer

einmal, ab 16.10.2018, 16:00 - 18:00 (16 Termine)

A6/SR 009 Seminarraum

Wolfgang Mulzer

einmal, ab 16.10.2018, 12:00 - 14:00 (16 Termine)

T9/046 Seminarraum

Wolfgang Mulzer

einmal, ab 17.10.2018, 16:00 - 18:00 (16 Termine)

A7/SR 031

Wolfgang Mulzer

einmal, ab 15.10.2018, 16:00 - 18:00 (16 Termine)

T9/055 Seminarraum

Wolfgang Mulzer

einmal, ab 15.10.2018, 14:00 - 16:00 (16 Termine)

A7/SR 031

Wolfgang Mulzer

einmal, ab 17.10.2018, 14:00 - 16:00 (16 Termine)

T9/SR 006 Seminarraum

Wolfgang Mulzer

einmal, ab 16.10.2018, 08:00 - 10:00 (16 Termine)

T9/SR 006 Seminarraum

Wolfgang Mulzer

einmal, ab 19.10.2018, 14:00 - 16:00 (16 Termine)

T9/055 Seminarraum

Wolfgang Mulzer

einmal, ab 16.10.2018, 10:00 - 12:00 (16 Termine)

T9/055 Seminarraum

Wolfgang Mulzer

einmal, ab 19.10.2018, 08:00 - 10:00 (16 Termine)

A7/SR 031

Wolfgang Mulzer

einmal, ab 16.10.2018, 12:00 - 14:00 (16 Termine)

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

Algebra und Zahlentheorie

LV: 19200701

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4 SWS

Victoria Hoskins

Lecture

Submod: 0084bC1.6.1

Akt: 17.01.2019 14:00

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

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

Description

Subject matter:
Selected topics from:

Additional appointments

Klausur

HFB/B Hörsaal

Victoria Hoskins

14.02.2019 12:00 - 14:00

Nachklausur

T9/Gr. Hörsaal

Victoria Hoskins

28.03.2019 14:00 - 16:00

Appointment series

A3/Hs 001 Hörsaal

Victoria Hoskins

einmal, ab 16.10.2018, 12:00 - 14:00 (16 Termine)

A3/Hs 001 Hörsaal

Victoria Hoskins

einmal, ab 18.10.2018, 12:00 - 14:00 (15 Termine)

Übung zu Algebra und Zahlentheorie

LV: 19200702

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2 SWS

Victoria Hoskins

Practice seminar

Submod: 0084bC1.6.2

Akt: 25.03.2019 10:00

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

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

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

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

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Victoria Hoskins

einmal, ab 23.10.2018, 14:00 - 16:00 (15 Termine)

A3/SR 119

Victoria Hoskins

einmal, ab 17.10.2018, 14:00 - 16:00 (16 Termine)

A3/SR 119

Victoria Hoskins

einmal, ab 17.10.2018, 16:00 - 18:00 (16 Termine)

A3/ 024 Seminarraum

Victoria Hoskins

einmal, ab 18.10.2018, 14:00 - 16:00 (16 Termine)

Module: Functional Analysis (0084cB2.2)

Funktionalanalysis

LV: 19201901

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4 SWS

Stefan Klus

Luigi Delle Site

Lecture

Submod: 0084bC2.2.1

Akt: 29.01.2019 14:00

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

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

Description

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

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

References

Literatur:

Hans Wilhelm Alt: Lineare Funktionalanalysis : eine anwendungsorientierte Einführung. 5. Auflage. Springer-Verlag, 2006, ISBN 3-540-34186-2
Harro Heuser: Funktionalanalysis: Theorie und Anwendung. 3. Auflage. Teubner-Verlag, 1992, ISBN 3-519-22206-X
Dirk Werner: Funktionalanalysis, 7. Auflage, Springer-Verlag 2011, ISBN 978-3-642-21016-7

Additional appointments

Klausur

1.1.53 Seminarraum E2

A6/SR 007/008 Seminarraum

Stefan Klus

Luigi Delle Site

14.02.2019 10:00 - 12:00

Nachklausur

A6/SR 007/008 Seminarraum

Stefan Klus

Luigi Delle Site

04.04.2019 10:00 - 12:00

Appointment series

A6/SR 007/008 Seminarraum

Stefan Klus

Luigi Delle Site

einmal, ab 16.10.2018, 10:00 - 12:00 (16 Termine)

A6/SR 007/008 Seminarraum

Stefan Klus

Luigi Delle Site

einmal, ab 18.10.2018, 10:00 - 12:00 (15 Termine)

Übung zu Funktionalanalysis

LV: 19201902

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2 SWS

Stefan Klus

Luigi Delle Site

Practice seminar

Submod: 0084bC2.2.2

Akt: 22.01.2019 14:00

Tue, 12:00 - 14:00 (1.1.26 Seminarraum E1)

Module: Discrete Mathematics I (0084cB3.2)

Diskrete Geometrie I

LV: 19202001

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4 SWS

Pavle Blagojevic

Lecture

Submod: 0084bC3.1.1

Akt: 05.02.2019 12:00

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

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

Description

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

References

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

Additional information

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

Additional appointments

Klausur

T9/Gr. Hörsaal

Pavle Blagojevic

19.02.2019 10:00 - 12:00

Appointment series

A6/SR 032 Seminarraum

Pavle Blagojevic

einmal, ab 17.10.2018, 10:00 - 12:00 (16 Termine)

A6/SR 032 Seminarraum

Pavle Blagojevic

einmal, ab 16.10.2018, 08:00 - 10:00 (16 Termine)

Übung zu Diskrete Geometrie I

LV: 19202002

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2 SWS

Hannah Sjöberg

Practice seminar

Submod: 0084bC3.1.2

Akt: 20.09.2018 08:16

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

Module: Numerical Mathematics II (0084cB3.4)

Basismodul: Numerik II

LV: 19202101

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4 SWS

Volker John

Lecture

Submod: 0084bC5.1.1

Akt: 22.11.2018 12:00

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

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

Description

The course will present two topics: numerical methods for stiff ordinary differential equations and iterative schemes for the solution of linear systems of equations.

Lecture notes will be available.

Homepage der Vorlesung: http://www.wias-berlin.de/people/john/LEHRE/lehre.html

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Volker John

einmal, ab 15.10.2018, 14:00 - 16:00 (16 Termine)

A6/SR 007/008 Seminarraum

Volker John

einmal, ab 15.10.2018, 10:00 - 12:00 (16 Termine)

Übung zu Basismodul: Numerik II

LV: 19202102

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2 SWS

Volker John

Practice seminar

Submod: 0084bC5.1.2

Akt: 22.11.2018 12:00

Thu, 12:00 - 14:00 (KöLu24-26/SR 006 Neuro/MatheT9/046 Seminarraum)

Module: Algebra I (0084cB3.3)

Basismodul: Algebra I

LV: 19202501

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4 SWS

Klaus Altmann

Lecture

Submod: 0084aC1.1.1

Akt: 10.06.2020 14:00

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

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

Description

? Affine algebraic varieties

? Rings, ideals, and modules

? Noetherian rings

? Local rings and localization

? Primary decompositione

? Finite and integral extensions

? Dimension theory

? Regular rings

Target Group
Students with the prerequisites mentioned below.

Homepage: Prof. Altmann

Additional information for students

Die Vorlesung Algebra I deckt auch die Inhalte der Vorlesung Zahlentheorie I ab.

Additional appointments

Klausur

A3/Hs 001 Hörsaal

Klaus Altmann

11.02.2019 12:00 - 14:00

Nachklausur

A3/Hs 001 Hörsaal

Klaus Altmann

04.04.2019 12:00 - 14:00

Appointment series

A6/SR 032 Seminarraum

Klaus Altmann

einmal, ab 15.10.2018, 12:00 - 14:00 (15 Termine)

A6/SR 032 Seminarraum

Klaus Altmann

einmal, ab 15.10.2018, 10:00 - 12:00 (16 Termine)

Übung zu Algebra I (Kommutative Algebra)

LV: 19202502

a.Erneut änderbar

2 SWS

Andrea Petracci

Practice seminar

Submod: 0084aC1.1.2

Akt: 22.11.2018 09:50

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

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

Module: Differential Geometry I (0084cB3.5)

Differentialgeometrie I

LV: 19202601

a.SAP verarbeitet

4 SWS

Klaus Ecker

Lecture

Submod: 0084cB3.5.1

Akt: 22.11.2018 12:00

Tue, 10:00 - 14:00 (A3/ 024 Seminarraum )

Description

Selection of the following topics:

Curves and surfaces in Euclidean space
Metrics and Riemannian manifolds
Notions of curvature
Vectorfields, covariant derivatives
Geodesics, exponential map
Gauss- Bonnet theorem
Relations to discrete differential geometry

This course is a BMS course and will be held in English if requested.

References

Spivak, M.: A comprehensive introduction in differential geometry I–II

Montiel S. and Ros A.: Curves and Surfaces

Additional information

Requirements:
Analysis I -III and Linear Algebra I - II.

Additional appointments

Appointment series

A3/ 024 Seminarraum

Klaus Ecker

einmal, ab 16.10.2018, 10:00 - 14:00 (16 Termine)

Übung zu Differentialgeometrie I

LV: 19202602

a.SAP verarbeitet

2 SWS

Klaus Ecker

Practice seminar

Submod: 0084cB3.5.2

Akt: 22.11.2018 12:00

Tue, 14:00 - 16:00 (1.1.53 Seminarraum E2)

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

Module: Seminar on Algorithms (0089bA2.8)

Seminar on Algorithms

LV: 19306711

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2 SWS

Helmut Alt

Seminar

Submod: 0084bC6.5.1

Akt: 22.11.2018 14:00

Tue, 14:00 - 16:00 (T9/053 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

T9/053 Seminarraum

Helmut Alt

einmal, ab 16.10.2018, 14:00 - 16:00 (16 Termine)

Module: Specialisation in Mathematics (0084cB4.1)

Panorama der Mathematik

LV: 19202701

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4 SWS

Carsten Lange

Rainer Sinn

Lecture

Submod: 0084cB4.1.1

Akt: 07.03.2019 14:00

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

Wed, 14:00 - 16:00 (Hs A (Raum B.006, 200 Pl.))

Description

This is for a course in German - Short explanation in English:

Panorama of Mathematics is a four-hour overview course that presents the wide field of modern Mathematics - its history, its topics, its problems, its methods, some basic concepts, applications, etc.

This will not be taught as a four-hour course any more, but students can register for it, and then take the two-hour courses Mathematical Panorama (this winter term) and Mathematical Panorama II (next summer), which together count as the four-hour course (as listed in some curricula at FU Berlin).

References

Günter M. Ziegler und Andreas Loos: Panorama der Mathematik, Springer 2015, in Vorbereitung (wird in Auszügen zur Verfügung gestellt)
Hans Wußing, 6000 Jahre Mathematik: Eine kulturgeschichtliche Zeitreise, Springer 2009
Band 1: Von den Anfängen bis Leibniz und Newton
Band 2: Von Euler bis zur Gegenwart
Heinz-Wilhelm Alten et al., 4000 Jahre Algebra, Springer 2008
Christoph J. Scriba, 5000 Jahre Geometrie, Springer 2009
Heinz Niels Jahnke, Geschichte der Analysis: Texte zur Didaktik der Mathematik, Spektrum 1999
Richard Courant und Herbert Robbins, Was ist Mathematik?, Springer 2010
Phillip J. Davis, Reuben Hersh, The Mathematical Experience, Mariner Books 1999

Additional appointments

Klausur

A6/SR 031 Seminarraum

Carsten Lange

Rainer Sinn

01.03.2019 11:00 - 13:00

Nachklausur

A3/Hs 001 Hörsaal

Carsten Lange

Rainer Sinn

28.03.2019 10:00 - 12:00

Appointment series

A3/SR 119

Carsten Lange

Rainer Sinn

einmal, ab 18.10.2018, 08:00 - 10:00 (16 Termine)

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

Carsten Lange

Rainer Sinn

einmal, ab 17.10.2018, 14:00 - 16:00 (16 Termine)

Übung zu Panorama der Mathematik

LV: 19202702

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2 SWS

Felix Henneke

Practice seminar

Submod: 0084cB4.1.2

Akt: 17.10.2018 18:00

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

Module: Analysis I (0084cA1.1)

Analysis I

LV: 19202801

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4 SWS

Péter Koltai

Lecture

Submod: 0084aA1.1.1

Akt: 14.02.2019 12:00

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

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

Description

The lecture follows the script Analysis I

Further literatur:

Blatter, Ch.: Analysis 1. Springer-Verlag. xi+369 S.
Forster, O.: Analysis 1. Differential- und Integralrechnung einer Veränderlichen. Vieweg. viii+208 S.
Fritzsche, K.: Grundkurs Analysis 1 - Differentiation und Integration in einer Veränderlichen. Spektrum Verlag. xii+372 S.

Many examples, applications and useful comments can be found in

Arens, T. , et al.: Mathematik. Heidelberg: Spektrum Akademischer Verlag. 2008. xiv+1496 S.

The following book develops Analysis using a historical context

Körle, H.-H.: Die phantastische Geschichte der Analysis. Ihre Probleme und Methoden seit Demokrit und Archimedes. Dazu die Grundbegriffe von heute. Oldenbourg. 2009. xiv+217 S.

References

Die Vorlesung folgt dem Skript Analysis I

Weitere Literatur:

Blatter, Ch.: Analysis 1. Springer-Verlag. xi+369 S.
Forster, O.: Analysis 1. Differential- und Integralrechnung einer Veränderlichen. Vieweg. viii+208 S.
Fritzsche, K.: Grundkurs Analysis 1 - Differentiation und Integration in einer Veränderlichen. Spektrum Verlag. xii+372 S.

Zahlreiche Beispiele, Anwendungen und nützliche Anmerkungen findet man in

Arens, T. , et al.: Mathematik. Heidelberg: Spektrum Akademischer Verlag. 2008. xiv+1496 S.

Das folgende Buch entwickelt die Analysis aus dem historischen Kontext

Körle, H.-H.: Die phantastische Geschichte der Analysis. Ihre Probleme und Methoden seit Demokrit und Archimedes. Dazu die Grundbegriffe von heute. Oldenbourg. 2009. xiv+217 S.

Additional appointments

Klausur

Hs 1b Hörsaal

Péter Koltai

19.02.2019 08:00 - 10:00

Nachklausur

Hs 1b Hörsaal

Péter Koltai

02.04.2019 08:00 - 10:00

Appointment series

A3/Hs 001 Hörsaal

Péter Koltai

einmal, ab 16.10.2018, 08:00 - 10:00 (16 Termine)

A3/Hs 001 Hörsaal

Péter Koltai

einmal, ab 18.10.2018, 08:00 - 10:00 (16 Termine)

Übung zu Analysis I

LV: 19202802

a.SAP verarbeitet

2 SWS

Péter Koltai

Ilja Klebanov

Andreas Bittracher

Practice seminar

Submod: 0084aA1.1.2

Akt: 21.11.2018 16:00

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

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

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

Thu, 14:00 - 16:00 (T9/051 Seminarraum)

Thu, 10:00 - 12:00 (1.1.53 Seminarraum E2)

Additional appointments

Appointment series

A3/ 024 Seminarraum

Péter Koltai

Ilja Klebanov

Andreas Bittracher

einmal, ab 16.10.2018, 14:00 - 16:00 (16 Termine)

A6/SR 009 Seminarraum

Péter Koltai

Ilja Klebanov

Andreas Bittracher

einmal, ab 17.10.2018, 14:00 - 16:00 (16 Termine)

A6/SR 009 Seminarraum

Péter Koltai

Ilja Klebanov

Andreas Bittracher

einmal, ab 16.10.2018, 14:00 - 16:00 (16 Termine)

T9/051 Seminarraum

Péter Koltai

Ilja Klebanov

Andreas Bittracher

einmal, ab 18.10.2018, 14:00 - 16:00 (16 Termine)

1.1.53 Seminarraum E2

Péter Koltai

Ilja Klebanov

Andreas Bittracher

einmal, ab 22.11.2018, 10:00 - 12:00 (11 Termine)

Module: Lineare Algebra I (0084cA1.4)

Lineare Algebra I

LV: 19201401

a.SAP verarbeitet

4 SWS

Alexandru Constantinescu

Lecture

Submod: 0084aA2.1.1

Akt: 13.02.2019 12:00

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

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

Description

Content:

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

Prerequisites:

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

References

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

Additional appointments

Klausur

Hs 2 Hörsaal

Alexandru Constantinescu

13.02.2019 08:00 - 10:00

Nachklausur

Hs 2 Hörsaal

Alexandru Constantinescu

26.03.2019 10:00 - 12:00

Appointment series

A3/Hs 001 Hörsaal

Alexandru Constantinescu

einmal, ab 15.10.2018, 08:00 - 10:00 (16 Termine)

A3/Hs 001 Hörsaal

Alexandru Constantinescu

einmal, ab 17.10.2018, 08:00 - 10:00 (15 Termine)

Übung zu Lineare Algebra I

LV: 19201402

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2 SWS

Alexandru Constantinescu

Practice seminar

Submod: 0084aA2.1.2

Akt: 24.05.2019 12:00

Fri, 14:00 - 16:00 (T9/053 Seminarraum)

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

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

Wed, 12:00 - 14:00 (T9/053 Seminarraum)

Additional appointments

Appointment series

T9/053 Seminarraum

Alexandru Constantinescu

einmal, ab 19.10.2018, 14:00 - 16:00 (16 Termine)

A3/SR 119

Alexandru Constantinescu

einmal, ab 16.10.2018, 10:00 - 12:00 (16 Termine)

A3/ 024 Seminarraum

Alexandru Constantinescu

einmal, ab 15.10.2018, 14:00 - 16:00 (16 Termine)

T9/053 Seminarraum

Alexandru Constantinescu

einmal, ab 17.10.2018, 12:00 - 14:00 (16 Termine)

Module: Computerorientierte Mathematik I (0084cA1.6)

Computerorientierte Mathematik I (5 LP)

LV: 19200501

a.SAP verarbeitet

2 SWS

Christof Schütte

Lecture

Submod: 0084aA3.1.1

Akt: 30.01.2019 12:00

Fri, 12:00 - 14:00 (T9/Gr. Hörsaal)

Description

Homepage: All current information on lectures and lectures

References

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

Additional appointments

Klausur

Hs 1a Hörsaal

T9/Gr. Hörsaal

Christof Schütte

15.02.2019 12:00 - 14:00

Nachklausur

Hs 1b Hörsaal

Hs 2 Hörsaal

Christof Schütte

12.04.2019 12:00 - 14:00

Appointment series

T9/Gr. Hörsaal

Christof Schütte

einmal, ab 19.10.2018, 12:00 - 14:00 (15 Termine)

Übung zu Computerorientierte Mathematik I

LV: 19200502

a.SAP verarbeitet

2 SWS

Johannes Markus Zonker

Practice seminar

Submod: 0084aA3.1.2

Akt: 22.11.2018 12:00

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

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

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

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

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

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

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

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

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

Additional appointments

Appointment series

A3/SR 119

Johannes Markus Zonker

einmal, ab 17.10.2018, 12:00 - 14:00 (16 Termine)

A3/SR 119

Johannes Markus Zonker

einmal, ab 17.10.2018, 10:00 - 12:00 (16 Termine)

A3/SR 119

Johannes Markus Zonker

einmal, ab 15.10.2018, 12:00 - 14:00 (16 Termine)

A3/019 Seminarraum

Johannes Markus Zonker

einmal, ab 19.10.2018, 14:00 - 16:00 (16 Termine)

A6/SR 007/008 Seminarraum

Johannes Markus Zonker

einmal, ab 19.10.2018, 08:00 - 10:00 (16 Termine)

A6/SR 031 Seminarraum

Johannes Markus Zonker

einmal, ab 05.11.2018, 14:00 - 16:00 (13 Termine)

A3/ 024 Seminarraum

Johannes Markus Zonker

einmal, ab 15.10.2018, 10:00 - 12:00 (16 Termine)

KöLu24-26/SR 006 Neuro/Mathe

Johannes Markus Zonker

einmal, ab 18.10.2018, 10:00 - 12:00 (3 Termine)

A6/SR 032 Seminarraum

Johannes Markus Zonker

einmal, ab 16.10.2018, 12:00 - 14:00 (16 Termine)

Module: Stochastics I (0084cA1.8)

Stochastik I

LV: 19200601

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4 SWS

Timothy John Sullivan

Lecture

Submod: 0084bA4.2.1

Akt: 19.12.2018 10:00

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

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

Description

Content:

Models for situations involving chance: probability spaces, probability measures; frequentist and Bayesian interpretations of probability.
Conditional probabilities and expectations.
Random variables and their distributions; Characteristic values of the distributions: the expectation and variance
Discrete distributions: e.g. the uniform, binomial, geometric, and Poisson distributions.
Distributions with densities: e.g. the uniform, normal, and exponential distributions.
Joint distributions of several random variables: independence of random variables; conditional distributions; sums of independent random variables and their distributions.
Features of common distributions: expectation, covariance and correlation; characteristic and generating functions.
Approximation of the binomial distribution by the Poisson and normal distributions.
Limit theorems: the weak and strong laws of large numbers; the central limit theorem.
Data analysis and descriptive statistics: histograms; empirical distribution; features of sample distributions; examples of misleading descriptive statistics; linear regression.
Basic concepts and techniques of testing and estimation: maximum likelihood principle; confidence intervals; hypothesis testing; type I and type II errors.

References

literature

E. Behrends: Elementary Stochastics, Springer, 2013
H.-O. Georgii: Stochastics: Introduction to Probability Theory and Statistics, De Gruyter, 2007
U. Krengel: introduction to Probability Theory and Statistics, Vieweg, 2005
D. Meintrup, S. Schäffler, Stochastics: Theory and Applications, Springer, 2005

Most of the books listed are available online via the UB.

Additional information

Audience:
Students from the 3rd semester

Requirements:
Basics of Analysis and Linear Algebra

Additional appointments

Klausur

HFB/B Hörsaal

Timothy John Sullivan

15.02.2019 12:30 - 15:30

Appointment series

A6/SR 031 Seminarraum

Timothy John Sullivan

einmal, ab 18.10.2018, 08:00 - 10:00 (16 Termine)

A6/SR 031 Seminarraum

Timothy John Sullivan

einmal, ab 15.10.2018, 08:00 - 10:00 (16 Termine)

Übung zu Stochastik I

LV: 19200602

a.SAP verarbeitet

2 SWS

Timothy John Sullivan

Han Cheng Lie

Practice seminar

Submod: 0084bA4.2.2

Akt: 07.03.2019 14:00

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

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

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

Additional appointments

Appointment series

A6/SR 025/026 Seminarraum

Timothy John Sullivan

Han Cheng Lie

einmal, ab 16.10.2018, 16:00 - 18:00 (16 Termine)

A3/SR 210 Seminarraum

Timothy John Sullivan

Han Cheng Lie

einmal, ab 15.10.2018, 12:00 - 14:00 (16 Termine)

A3/ 024 Seminarraum

Timothy John Sullivan

Han Cheng Lie

einmal, ab 15.10.2018, 12:00 - 14:00 (16 Termine)

Wahrscheinlichkeit und Statistik

LV: 19220901

a.SAP verarbeitet

4 SWS

Jean-Philippe Labbé

Lecture

Submod: 0084cA1.8.1

Akt: 07.02.2019 10:43

Thu, 08:00 - 10:00 (T9/Gr. Hörsaal)

Mon, 08:00 - 10:00 (T9/Gr. Hörsaal)

Description

Principles of counting; elements of combinatorics
Models of random dependent processes: probability ranges, probability measures
Conditional probabilities; independence; Bayesian rule
Random variables and their distributions; characteristics of the distributions: Expected value and variance
Discrete distributions: Laplace distribution; binomial distribution; geometric distribution
Approximation of the binomial distribution by the normal distribution;
Approximation of the binomial distribution by the Poisson distribution
Distributions with densities: Equal distribution; Normal distribution; Exponential distribution
Common distributions of several random variables: discrete and with densities; independence from random variables; conditional distributions; sums of independent random variables and their distributions
Characteristics of common distributions: Expected value, covariance and correlation; conditional expectation
Limit theorems: weak law of large numbers and relative frequencies; the central limit theorem
Data analysis and descriptive statistics: histograms; empirical distribution; characteristics of sample distributions; examples of misleading descriptive statistics; linear regression
Elementary terms and techniques of testing and estimation: maximum likelihood principle; confidence intervals; hypothesis tests; first and second type errors

References

E. Behrends: Elementary Stochastics, Springer, 2013
    H.-O. Georgii: Stochastics: Introduction to Probability Theory and Statistics, De Gruyter, 2007
    U. Krengel: Introduction to probability theory and statistics, Vieweg, 2005
    D. Meintrup, S. Schäffler, Stochastics: Theory and Applications, Springer, 2005.
    Most of the books listed below are available online at the UB. For this purpose, there is an extensive hand apparatus for stochastics in the mathematic library.

Additional appointments

Klausur

HFB/C Hörsaal

Jean-Philippe Labbé

14.02.2019 08:00 - 10:00

Nachklausur

HFB/C Hörsaal

Jean-Philippe Labbé

11.04.2019 08:00 - 10:00

Appointment series

T9/Gr. Hörsaal

Jean-Philippe Labbé

einmal, ab 18.10.2018, 08:00 - 10:00 (15 Termine)

T9/Gr. Hörsaal

Jean-Philippe Labbé

einmal, ab 22.10.2018, 08:00 - 10:00 (15 Termine)

Übüng zu Wahrscheinlichkeit und Statistik

LV: 19220902

a.SAP verarbeitet

2 SWS

Jean-Philippe Labbé

Carsten Lange

Practice seminar

Submod: 0084cA1.8.2

Akt: 05.03.2019 16:00

Wed, 16:00 - 18:00 (A3/ 024 Seminarraum )

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

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

Thu, 16:00 - 18:00 (A3/ 024 Seminarraum )

Additional information

Aktuelle Informationen zur Veranstaltung finden Sie auf der Homepage der Vorlesung

Additional appointments

Appointment series

A3/ 024 Seminarraum

Jean-Philippe Labbé

Carsten Lange

einmal, ab 17.10.2018, 16:00 - 18:00 (16 Termine)

A6/SR 007/008 Seminarraum

Jean-Philippe Labbé

Carsten Lange

einmal, ab 17.10.2018, 10:00 - 12:00 (16 Termine)

A3/SR 119

Jean-Philippe Labbé

Carsten Lange

einmal, ab 19.10.2018, 14:00 - 16:00 (16 Termine)

A3/ 024 Seminarraum

Jean-Philippe Labbé

Carsten Lange

einmal, ab 18.10.2018, 16:00 - 18:00 (16 Termine)

Module: Analysis II (0084cA1.2)

Analysis II

LV: 19211601

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4 SWS

Holger Reich

Lecture

Submod: 0084cA1.2.1

Akt: 30.01.2019 20:00

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

Thu, 10:00 - 12:00 (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

HFB/A Hörsaal

Holger Reich

12.02.2019 09:00 - 12:00

Nachklausur

T9/Gr. Hörsaal

Holger Reich

04.04.2019 10:00 - 12:30

Appointment series

A3/Hs 001 Hörsaal

Holger Reich

einmal, ab 16.10.2018, 10:00 - 12:00 (16 Termine)

A3/Hs 001 Hörsaal

Holger Reich

einmal, ab 18.10.2018, 10:00 - 12:00 (16 Termine)

Übung zu Analysis II

LV: 19211602

a.SAP verarbeitet

2 SWS

Holger Reich

Filipp Levikov

Practice seminar

Submod: 0084cA1.2.2

Akt: 27.03.2019 14:00

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

Tue, 16:00 - 18:00 (T9/051 Seminarraum)

Wed, 10:00 - 12:00 (1.3.48 Seminarraum T3)

Additional appointments

Extraübung

A7/SR 031

Holger Reich

Filipp Levikov

02.04.2019 11:00 - 13:00

Appointment series

A6/SR 007/008 Seminarraum

Holger Reich

Filipp Levikov

einmal, ab 17.10.2018, 14:00 - 16:00 (16 Termine)

T9/051 Seminarraum

Holger Reich

Filipp Levikov

einmal, ab 16.10.2018, 16:00 - 18:00 (16 Termine)

1.3.48 Seminarraum T3

Holger Reich

Filipp Levikov

einmal, ab 17.10.2018, 10:00 - 12:00 (16 Termine)

Module: Lineare Algebra II (0084cA1.5)

Lineare Algebra II

LV: 19211701

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4 SWS

Dirk Werner

Lecture

Submod: 0084aA2.2.1

Akt: 06.03.2019 10:00

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

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

Description

Contents:

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

Prerequisites: Linear Algebra I

Literature:

Will be mentioned in the lecture.

Additional information

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

Additional appointments

Klausur

T9/Gr. Hörsaal

Dirk Werner

20.02.2019 10:00 - 12:00

Nachklausur

A6/SR 031 Seminarraum

Dirk Werner

08.04.2019 18:00 - 20:00

Appointment series

A3/Hs 001 Hörsaal

Dirk Werner

einmal, ab 17.10.2018, 12:00 - 14:00 (16 Termine)

A3/Hs 001 Hörsaal

Dirk Werner

einmal, ab 19.10.2018, 12:00 - 14:00 (16 Termine)

Übung zu Lineare Algebra II

LV: 19211702

a.SAP verarbeitet

2 SWS

Dirk Werner

Practice seminar

Submod: 0084aA2.2.2

Akt: 17.12.2018 16:00

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

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

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

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

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Dirk Werner

einmal, ab 18.10.2018, 16:00 - 18:00 (16 Termine)

A6/SR 007/008 Seminarraum

Dirk Werner

einmal, ab 18.10.2018, 08:00 - 10:00 (16 Termine)

T9/SR 005 Übungsraum

Dirk Werner

einmal, ab 18.10.2018, 16:00 - 18:00 (16 Termine)

A6/SR 007/008 Seminarraum

Dirk Werner

einmal, ab 17.10.2018, 16:00 - 18:00 (16 Termine)

Module: Analysis III (0084cA1.3)

Analysis III

LV: 19201301

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4 SWS

Alexander Schmitt

Lecture

Submod: 0084aA1.3.1

Akt: 14.02.2019 12:00

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

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

Description

References

Literatur

H. Amann, J. Escher: Analysis 2, Birkhäuser Verlag, 2008.
H. Amann, J. Escher: Analysis 3, Birkhäuser Verlag, 2008.
O. Forster: Analysis 2, Springer Verlag, 2012.
O. Forster: Analysis 3, Vieweg+Teubner, 2012.
H. Heuser: Lehrbuch der Analysis 2, Vieweg+Teubner, 2012.
S. Hildebrandt: Analysis 2, Springer Verlag, 2003.
J. Jost: Postmodern Analysis, Springer Verlag, 2008.
K. Königsberger: Analysis 2, Springer Verlag, 2004.
W. Rudin: Principles of Mathematical Analysis, International Series in Pure & Applied Mathematics, 1976.

und für geschichtlich Interessierte:

O. Becker: Grundlagen der Mathematik, Verlag Karl Alber, Freiburg, 1964.
E. Hairer, G. Wanner: Analysis by its History, Springer, 2000.
V.J. Katz: A History of Mathematics, Harper Collins, New York, 1993.

Additional appointments

Klausur

T9/Gr. Hörsaal

Alexander Schmitt

12.02.2019 08:00 - 10:00

zweite Klausur

A3/Hs 001 Hörsaal

Alexander Schmitt

05.04.2019 10:00 - 12:00

Appointment series

A6/SR 031 Seminarraum

Alexander Schmitt

einmal, ab 16.10.2018, 10:00 - 12:00 (16 Termine)

A6/SR 031 Seminarraum

Alexander Schmitt

einmal, ab 18.10.2018, 10:00 - 12:00 (16 Termine)

Übung zu Analysis III

LV: 19201302

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2 SWS

Alejandra Rincón Hidalgo

Practice seminar

Submod: 0084aA1.3.2

Akt: 20.09.2018 16:00

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

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

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

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

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Alejandra Rincón Hidalgo

einmal, ab 16.10.2018, 08:00 - 10:00 (16 Termine)

A3/019 Seminarraum

Alejandra Rincón Hidalgo

einmal, ab 16.10.2018, 08:00 - 10:00 (16 Termine)

A3/SR 119

Alejandra Rincón Hidalgo

einmal, ab 16.10.2018, 12:00 - 14:00 (16 Termine)

T9/049 Seminarraum

Alejandra Rincón Hidalgo

einmal, ab 17.10.2018, 12:00 - 14:00 (16 Termine)

Mathematics (0084d_k120)

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

Proseminar/Seminar zur Analysis

LV: 19200910

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2 SWS

Dirk Werner

Proseminar

Submod: 0084bC2.11.1

Akt: 06.03.2019 10:00

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

Seminar zur Diskreten Mathematik I

LV: 19202211

a.Erneut änderbar

2 SWS

Tibor Szabo

Seminar

Submod: 0084cB1.1.1

Akt: 22.11.2018 09:50

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

Description

- Algebraic Methods (Group theory, Symmetric Group, Group actions, Polya Theory, Holonomic sequences, Hypergeometric sequences),

- Generating Functions (Polynomials, Quasi-polynomials, Transfer-matrix method, Basics of species)

- Facial enumeration of simplicial complexes (Kruskal-Katona and Frankl-Furedi-Kalai Theorems),

- Embedding of graphs and simplicial complexes (van Kampen-Flores Theorem),

- Poset and Lattice theory (Tarski's Fixed Point Theorem, Boolean Algebras, Fundamental Theorem of Finite Distributive Lattices, Galois connection theorems),

References

The seminar's material will follow the book titled The Erdos Distance Problem, by Julia Garibaldi, Alex Iosevich and Steven Senger, and the references therein.

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Tibor Szabo

einmal, ab 16.10.2018, 12:00 - 14:00 (16 Termine)

Seminar: Mathematics of Machine Learning: from linear models to neural networks

LV: 19210511

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2 SWS

Pavel Gurevich

Seminar

Submod: 0084dB1.1.1

Akt: 18.04.2019 16:00

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

Proseminar/Seminar zur Geometrie

LV: 19213710

a.Erneut änderbar

2 SWS

Jean-Philippe Labbé

Proseminar

Submod: 0084cB1.1.1

Akt: 22.11.2018 09:50

Tue, 14:00 - 16:00 ()

Description

Additional appointments

Appointment series

Jean-Philippe Labbé

einmal, ab 16.10.2018, 14:00 - 16:00 (16 Termine)

Einführung in die Darstellungstheorie

LV: 19221917

a.Absage verarbeitet

2 SWS

No lecturers

Seminar / Undergraduate Course

Submod: 0084dB1.1.1

Akt: 18.10.2018 12:00

Wed, 10:00 - 12:00 ()

Description

Historically, finite groups appeared in mathematics together with an action on some object, for example, as the groups of symmetries of polygons or polytopes. We are going to study, in some sense, the easiest possible actions of finite groups, namely, the linear actions on vector spaces. Such actions are called representations of finite groups. We will only consider representations in complex vector spaces.

Preliminary program:

Generalities on linear representations, irreducible representations and operation on representations. Character theory, Schur’s lemma, decompositions of representations. Subgroups and induced representations. Explicit examples. Representations of the symmetric group.

References

W. Fulton, J. Harris, Representation Theory - A First Course, GTM 129

Additional information

Lineare Algebra I

Additional appointments

Appointment series

No lecturers

einmal, ab 17.10.2018, 10:00 - 12:00 (16 Termine)

Proseminar Elementare Differentialgeometrie

LV: 19229510

a.Erneut änderbar

2 SWS

Klaus Ecker

Proseminar

Submod: 0084dB1.1.1

Akt: 22.11.2018 09:50

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

Kategorien und Unendlichkeitskategorien

LV: 19233511

a.Erneut änderbar

2 SWS

Simon Manuel Pepin Lehalleur

Seminar

Submod: 0084dB1.1.1

Akt: 22.11.2018 09:50

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

Description

Infinity category theory lies in the intersection of two major developments of 20th century mathematics: topology and category theory. Category theory is a very powerful framework to organize and unify mathematical theories. Infinity category theory extends this framework to settings where the morphisms between two objects form not a set but a topological space (or a related object like a chain complex). This situation arises naturally in homological algebra, algebraic topology and sheaf theory.

This reading seminar will recall the foundational ideas of usual category theory and then make the transition to homotopical algebra and infinity categories. By the end of the seminar, the student will be familiar enough with infinity categories that they can navigate texts written in this new language.

References

A short course on ∞-categories by Groth,

Higher topos theory by Lurie,

Higher algebra by Lurie

Additional information

Aimed at: Bachelor and masters students

Background: Strictly speaking, there is no necessarily background knowledge as we will follow Lurie's quasi-category approach which is self-contained. However, prior exposure to topology in some form is helpful.

Literature:

A short course on ∞-categories by Groth,

Higher topos theory by Lurie,

Higher algebra by Lurie

Additional appointments

Appointment series

KöLu24-26/SR 006 Neuro/Mathe

Simon Manuel Pepin Lehalleur

einmal, ab 18.10.2018, 16:00 - 18:00 (17 Termine)

Seminar Geschichte(n) der Dynamik 2

LV: 19239811

a.Erneut änderbar

2 SWS

Bernold Fiedler

Seminar

Submod: 0084cB1.1.1

Akt: 28.03.2019 12:05

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

Seminar on Simple Groups of Lie Type

LV: 19240317

a.Absage verarbeitet

2 SWS

Kivanc Ersoy

Seminar

Submod: 0084dB1.1.1

Akt: 12.12.2018 12:00

Mon, 14:00 - 16:00 (1.1.53 Seminarraum E2)

Description

Overview

The Classification of Finite Simple Groups was one of the biggest achievements in 20th century group theory. By Jordan Hölder theorem, every finite group has a composition series consisting of finite simple groups. So, finite simple groups can be seen as building blocks for all finite groups. According to the classification theorem, a finite non-abelian simple group is either an alternating group, or a simple group of Lie type or one of the 26 sporadic groups which are not belong to any infinite family. In this seminar, the theory of simple groups of Lie type as groups automorphisms of simple Lie algebras will be discussed from the basics. The classical simple groups will be introduced and then root systems and Weyl groups, Chevalley groups and their structure will be investigated. After dealing with automorphisms of Chevalley groups, at the end of the seminar, we will introduce some geometric structures associated with simple groups of Lie type.

Textbook: Simple Groups of Lie Type, Roger Carter, Pure and Applied Mathematics Volume XXVIII, 1972

Seminar plan: A detailed plan of the talks will be available after the first meeting. 1st meeting : The Classical Simple Groups will be introduced (K. Ersoy)

2nd meeting : Weyl groups and root system. Abstract root systems, fundamental systems, length function, definitions by generators and relations and chamber systems.

3rd meeting: Simple Lie algebras, subalgebras, Cartan decomposition, roots of a simple Lie algebra, Dynkin diagrams, descriptions of simple Lie algebras, existence and isomorphism theorems

4th meeting : Chevalley groups, Chevalley basis, structure constants, the exponential map, algebras over arbitrary fields, the groups A_1(K)

5th meeting : Unipotent subgroups, Chevalley commutator formula.

6th meeting: Root SL(2,K) subgroups, their homomorphisms

The rest of the plan will be announced after first meeting.

Additional information

Overview

Textbook: Simple Groups of Lie Type, Roger Carter, Pure and Applied Mathematics Volume XXVIII, 1972

Seminar plan: A detailed plan of the talks will be available after the first meeting. 1st meeting : The Classical Simple Groups will be introduced (K. Ersoy)

2nd meeting : Weyl groups and root system. Abstract root systems, fundamental systems, length function, definitions by generators and relations and chamber systems.

3rd meeting: Simple Lie algebras, subalgebras, Cartan decomposition, roots of a simple Lie algebra, Dynkin diagrams, descriptions of simple Lie algebras, existence and isomorphism theorems

4th meeting : Chevalley groups, Chevalley basis, structure constants, the exponential map, algebras over arbitrary fields, the groups A_1(K)

5th meeting : Unipotent subgroups, Chevalley commutator formula.

6th meeting: Root SL(2,K) subgroups, their homomorphisms

The rest of the plan will be announced after first meeting.

Additional appointments

Appointment series

1.1.53 Seminarraum E2

Kivanc Ersoy

einmal, ab 15.10.2018, 14:00 - 16:00 (16 Termine)

Module: Functional Analysis (0084dB2.2)

Funktionalanalysis

LV: 19201901

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4 SWS

Stefan Klus

Luigi Delle Site

Lecture

Submod: 0084bC2.2.1

Akt: 29.01.2019 14:00

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

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

Description

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

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

References

Literatur:

Hans Wilhelm Alt: Lineare Funktionalanalysis : eine anwendungsorientierte Einführung. 5. Auflage. Springer-Verlag, 2006, ISBN 3-540-34186-2
Harro Heuser: Funktionalanalysis: Theorie und Anwendung. 3. Auflage. Teubner-Verlag, 1992, ISBN 3-519-22206-X
Dirk Werner: Funktionalanalysis, 7. Auflage, Springer-Verlag 2011, ISBN 978-3-642-21016-7

Additional appointments

Klausur

1.1.53 Seminarraum E2

A6/SR 007/008 Seminarraum

Stefan Klus

Luigi Delle Site

14.02.2019 10:00 - 12:00

Nachklausur

A6/SR 007/008 Seminarraum

Stefan Klus

Luigi Delle Site

04.04.2019 10:00 - 12:00

Appointment series

A6/SR 007/008 Seminarraum

Stefan Klus

Luigi Delle Site

einmal, ab 16.10.2018, 10:00 - 12:00 (16 Termine)

A6/SR 007/008 Seminarraum

Stefan Klus

Luigi Delle Site

einmal, ab 18.10.2018, 10:00 - 12:00 (15 Termine)

Übung zu Funktionalanalysis

LV: 19201902

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2 SWS

Stefan Klus

Luigi Delle Site

Practice seminar

Submod: 0084bC2.2.2

Akt: 22.01.2019 14:00

Tue, 12:00 - 14:00 (1.1.26 Seminarraum E1)

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

Algebra und Zahlentheorie

LV: 19200701

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4 SWS

Victoria Hoskins

Lecture

Submod: 0084bC1.6.1

Akt: 17.01.2019 14:00

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

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

Description

Subject matter:
Selected topics from:

Additional appointments

Klausur

HFB/B Hörsaal

Victoria Hoskins

14.02.2019 12:00 - 14:00

Nachklausur

T9/Gr. Hörsaal

Victoria Hoskins

28.03.2019 14:00 - 16:00

Appointment series

A3/Hs 001 Hörsaal

Victoria Hoskins

einmal, ab 16.10.2018, 12:00 - 14:00 (16 Termine)

A3/Hs 001 Hörsaal

Victoria Hoskins

einmal, ab 18.10.2018, 12:00 - 14:00 (15 Termine)

Übung zu Algebra und Zahlentheorie

LV: 19200702

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2 SWS

Victoria Hoskins

Practice seminar

Submod: 0084bC1.6.2

Akt: 25.03.2019 10:00

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

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

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

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

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Victoria Hoskins

einmal, ab 23.10.2018, 14:00 - 16:00 (15 Termine)

A3/SR 119

Victoria Hoskins

einmal, ab 17.10.2018, 14:00 - 16:00 (16 Termine)

A3/SR 119

Victoria Hoskins

einmal, ab 17.10.2018, 16:00 - 18:00 (16 Termine)

A3/ 024 Seminarraum

Victoria Hoskins

einmal, ab 18.10.2018, 14:00 - 16:00 (16 Termine)

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

Algorithms, Data Structures, and Data Abstraction

LV: 19300201

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4 SWS

Wolfgang Mulzer

Lecture

Submod: 0084bC6.2.1

Akt: 01.04.2019 16:00

Tue, 14:00 - 16:00 (T9/Gr. Hörsaal)

Thu, 14:00 - 16:00 (T9/Gr. Hörsaal)

Description

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

References

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

Additional appointments

Klausur

HFB/A Hörsaal

HFB/B Hörsaal

HFB/D Hörsaal

T9/Gr. Hörsaal

Wolfgang Mulzer

14.02.2019 14:00 - 16:00

Einsicht

T9/055 Seminarraum

Wolfgang Mulzer

20.02.2019 13:00 - 14:00

Nachklausur

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

T9/Gr. Hörsaal

Wolfgang Mulzer

01.04.2019 10:00 - 12:00

Einsicht

T9/SR 005 Übungsraum

Wolfgang Mulzer

09.04.2019 09:00 - 10:00

Appointment series

T9/Gr. Hörsaal

Wolfgang Mulzer

einmal, ab 16.10.2018, 14:00 - 16:00 (16 Termine)

T9/Gr. Hörsaal

Wolfgang Mulzer

einmal, ab 18.10.2018, 14:00 - 16:00 (15 Termine)

Practice seminar for Algorithms, Data Structures, and Data Abstraction

LV: 19300202

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2 SWS

Wolfgang Mulzer

Practice seminar

Submod: 0084bC6.2.2

Akt: 08.03.2019 00:00

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

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

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

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

Mon, 14:00 - 16:00 (T9/055 Seminarraum)

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

Tue, 08:00 - 10:00 (T9/SR 006 Seminarraum)

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

Tue, 10:00 - 12:00 (T9/055 Seminarraum)

Fri, 08:00 - 10:00 (T9/055 Seminarraum)

Tue, 12:00 - 14:00 (A7/SR 031)

Additional appointments

T9/051 Seminarraum

Wolfgang Mulzer

15.10.2018 16:00 - 18:00

Sondertutorium

T9/049 Seminarraum

Wolfgang Mulzer

21.01.2019 10:00 - 12:00

Pruefungsvorbereitung

T9/SR 005 Übungsraum

Wolfgang Mulzer

11.02.2019 18:00 - 20:00

Zusatztutorium

T9/SR 005 Übungsraum

Wolfgang Mulzer

29.03.2019 12:00 - 14:00

Appointment series

A6/SR 031 Seminarraum

Wolfgang Mulzer

einmal, ab 16.10.2018, 16:00 - 18:00 (16 Termine)

A6/SR 009 Seminarraum

Wolfgang Mulzer

einmal, ab 16.10.2018, 12:00 - 14:00 (16 Termine)

T9/046 Seminarraum

Wolfgang Mulzer

einmal, ab 17.10.2018, 16:00 - 18:00 (16 Termine)

A7/SR 031

Wolfgang Mulzer

einmal, ab 15.10.2018, 16:00 - 18:00 (16 Termine)

T9/055 Seminarraum

Wolfgang Mulzer

einmal, ab 15.10.2018, 14:00 - 16:00 (16 Termine)

A7/SR 031

Wolfgang Mulzer

einmal, ab 17.10.2018, 14:00 - 16:00 (16 Termine)

T9/SR 006 Seminarraum

Wolfgang Mulzer

einmal, ab 16.10.2018, 08:00 - 10:00 (16 Termine)

T9/SR 006 Seminarraum

Wolfgang Mulzer

einmal, ab 19.10.2018, 14:00 - 16:00 (16 Termine)

T9/055 Seminarraum

Wolfgang Mulzer

einmal, ab 16.10.2018, 10:00 - 12:00 (16 Termine)

T9/055 Seminarraum

Wolfgang Mulzer

einmal, ab 19.10.2018, 08:00 - 10:00 (16 Termine)

A7/SR 031

Wolfgang Mulzer

einmal, ab 16.10.2018, 12:00 - 14:00 (16 Termine)

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

Seminar: Mathematics of Machine Learning: from linear models to neural networks

LV: 19210511

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2 SWS

Pavel Gurevich

Seminar

Submod: 0084dB1.1.1

Akt: 18.04.2019 16:00

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

Seminar Geschichte(n) der Dynamik 2

LV: 19239811

a.Erneut änderbar

2 SWS

Bernold Fiedler

Seminar

Submod: 0084cB1.1.1

Akt: 28.03.2019 12:05

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

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

Mathematisches Panorama

LV: 19236101

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2 SWS

Rainer Sinn

Lecture

Submod: 0084dB2.12.1

Akt: 07.03.2019 14:00

Wed, 14:00 - 16:00 ()

Description

This is for a course in German - Short explanation in English:

Mathematical Panorama is a two-hour overview course for First-Semester students of Mathematics (in particular, but not only, for teacher students) that presents the wide field of modern Mathematics - its history, its topics, its problems, its methods, some basic concepts, applications, etc.

This could be augmented by another two-hour course Mathematical Panorama II (next summer); both courses together count as the four-hour course Panorama of Mathematics (which is listed in some curricula at FU Berlin). There will also be a seminar in the summer term, where some topics connected to the course are treated actively (by the participants).

References

Günter M. Ziegler und Andreas Loos: Panorama der Mathematik, Springer-Spektrum 2018, in Vorbereitung (wird in Auszügen zur Verfügung gestellt)
Hans Wußing, 6000 Jahre Mathematik: Eine kulturgeschichtliche Zeitreise, Springer 2009
- Band 1: Von den Anfängen bis Leibniz und Newton
- Band 2: Von Euler bis zur Gegenwart
Heinz-Wilhelm Alten et al., 4000 Jahre Algebra, Springer 2008
Christoph J. Scriba, 5000 Jahre Geometrie, Springer 2009
Heinz Niels Jahnke, Geschichte der Analysis: Texte zur Didaktik der Mathematik, Spektrum 1999
Richard Courant und Herbert Robbins, What is Mathematics?, Oxford UP 1941 (deutsch: Springer 2010)
Phillip J. Davis, Reuben Hersh, The Mathematical Experience, Mariner Books 1999

Additional appointments

Nachklausur

A3/Hs 001 Hörsaal

Rainer Sinn

28.03.2019 10:00 - 12:00

Appointment series

Rainer Sinn

einmal, ab 17.10.2018, 14:00 - 16:00 (16 Termine)

Übung zu: Mathematisches Panorama

LV: 19236102

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2 SWS

Jonathan Kliem

Felix Henneke

Practice seminar

Submod: 0084dB2.12.2

Akt: 17.12.2018 12:00

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

Mon, 12:00 - 14:00 (0.1.01 Hörsaal B)

Module: Algebra I (0084dB3.3)

Basismodul: Algebra I

LV: 19202501

a.SAP verarbeitet

4 SWS

Klaus Altmann

Lecture

Submod: 0084aC1.1.1

Akt: 10.06.2020 14:00

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

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

Description

? Affine algebraic varieties

? Rings, ideals, and modules

? Noetherian rings

? Local rings and localization

? Primary decompositione

? Finite and integral extensions

? Dimension theory

? Regular rings

Target Group
Students with the prerequisites mentioned below.

Homepage: Prof. Altmann

Additional information for students

Die Vorlesung Algebra I deckt auch die Inhalte der Vorlesung Zahlentheorie I ab.

Additional appointments

Klausur

A3/Hs 001 Hörsaal

Klaus Altmann

11.02.2019 12:00 - 14:00

Nachklausur

A3/Hs 001 Hörsaal

Klaus Altmann

04.04.2019 12:00 - 14:00

Appointment series

A6/SR 032 Seminarraum

Klaus Altmann

einmal, ab 15.10.2018, 12:00 - 14:00 (15 Termine)

A6/SR 032 Seminarraum

Klaus Altmann

einmal, ab 15.10.2018, 10:00 - 12:00 (16 Termine)

Übung zu Algebra I (Kommutative Algebra)

LV: 19202502

a.Erneut änderbar

2 SWS

Andrea Petracci

Practice seminar

Submod: 0084aC1.1.2

Akt: 22.11.2018 09:50

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

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

Module: Numerical Mathematics II (0084dB3.4)

Basismodul: Numerik II

LV: 19202101

a.SAP verarbeitet

4 SWS

Volker John

Lecture

Submod: 0084bC5.1.1

Akt: 22.11.2018 12:00

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

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

Description

The course will present two topics: numerical methods for stiff ordinary differential equations and iterative schemes for the solution of linear systems of equations.

Lecture notes will be available.

Homepage der Vorlesung: http://www.wias-berlin.de/people/john/LEHRE/lehre.html

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Volker John

einmal, ab 15.10.2018, 14:00 - 16:00 (16 Termine)

A6/SR 007/008 Seminarraum

Volker John

einmal, ab 15.10.2018, 10:00 - 12:00 (16 Termine)

Übung zu Basismodul: Numerik II

LV: 19202102

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2 SWS

Volker John

Practice seminar

Submod: 0084bC5.1.2

Akt: 22.11.2018 12:00

Thu, 12:00 - 14:00 (KöLu24-26/SR 006 Neuro/MatheT9/046 Seminarraum)

Module: Differential Geometry I (0084dB3.5)

Differentialgeometrie I

LV: 19202601

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4 SWS

Klaus Ecker

Lecture

Submod: 0084cB3.5.1

Akt: 22.11.2018 12:00

Tue, 10:00 - 14:00 (A3/ 024 Seminarraum )

Description

Selection of the following topics:

Curves and surfaces in Euclidean space
Metrics and Riemannian manifolds
Notions of curvature
Vectorfields, covariant derivatives
Geodesics, exponential map
Gauss- Bonnet theorem
Relations to discrete differential geometry

This course is a BMS course and will be held in English if requested.

References

Spivak, M.: A comprehensive introduction in differential geometry I–II

Montiel S. and Ros A.: Curves and Surfaces

Additional information

Requirements:
Analysis I -III and Linear Algebra I - II.

Additional appointments

Appointment series

A3/ 024 Seminarraum

Klaus Ecker

einmal, ab 16.10.2018, 10:00 - 14:00 (16 Termine)

Übung zu Differentialgeometrie I

LV: 19202602

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2 SWS

Klaus Ecker

Practice seminar

Submod: 0084cB3.5.2

Akt: 22.11.2018 12:00

Tue, 14:00 - 16:00 (1.1.53 Seminarraum E2)

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

Module: Analysis I (0084dA1.1)

Analysis I

LV: 19202801

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4 SWS

Péter Koltai

Lecture

Submod: 0084aA1.1.1

Akt: 14.02.2019 12:00

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

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

Description

The lecture follows the script Analysis I

Further literatur:

Blatter, Ch.: Analysis 1. Springer-Verlag. xi+369 S.
Forster, O.: Analysis 1. Differential- und Integralrechnung einer Veränderlichen. Vieweg. viii+208 S.
Fritzsche, K.: Grundkurs Analysis 1 - Differentiation und Integration in einer Veränderlichen. Spektrum Verlag. xii+372 S.

Many examples, applications and useful comments can be found in

Arens, T. , et al.: Mathematik. Heidelberg: Spektrum Akademischer Verlag. 2008. xiv+1496 S.

The following book develops Analysis using a historical context

Körle, H.-H.: Die phantastische Geschichte der Analysis. Ihre Probleme und Methoden seit Demokrit und Archimedes. Dazu die Grundbegriffe von heute. Oldenbourg. 2009. xiv+217 S.

References

Die Vorlesung folgt dem Skript Analysis I

Weitere Literatur:

Blatter, Ch.: Analysis 1. Springer-Verlag. xi+369 S.
Forster, O.: Analysis 1. Differential- und Integralrechnung einer Veränderlichen. Vieweg. viii+208 S.
Fritzsche, K.: Grundkurs Analysis 1 - Differentiation und Integration in einer Veränderlichen. Spektrum Verlag. xii+372 S.

Zahlreiche Beispiele, Anwendungen und nützliche Anmerkungen findet man in

Arens, T. , et al.: Mathematik. Heidelberg: Spektrum Akademischer Verlag. 2008. xiv+1496 S.

Das folgende Buch entwickelt die Analysis aus dem historischen Kontext

Körle, H.-H.: Die phantastische Geschichte der Analysis. Ihre Probleme und Methoden seit Demokrit und Archimedes. Dazu die Grundbegriffe von heute. Oldenbourg. 2009. xiv+217 S.

Additional appointments

Klausur

Hs 1b Hörsaal

Péter Koltai

19.02.2019 08:00 - 10:00

Nachklausur

Hs 1b Hörsaal

Péter Koltai

02.04.2019 08:00 - 10:00

Appointment series

A3/Hs 001 Hörsaal

Péter Koltai

einmal, ab 16.10.2018, 08:00 - 10:00 (16 Termine)

A3/Hs 001 Hörsaal

Péter Koltai

einmal, ab 18.10.2018, 08:00 - 10:00 (16 Termine)

Übung zu Analysis I

LV: 19202802

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2 SWS

Péter Koltai

Ilja Klebanov

Andreas Bittracher

Practice seminar

Submod: 0084aA1.1.2

Akt: 21.11.2018 16:00

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

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

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

Thu, 14:00 - 16:00 (T9/051 Seminarraum)

Thu, 10:00 - 12:00 (1.1.53 Seminarraum E2)

Additional appointments

Appointment series

A3/ 024 Seminarraum

Péter Koltai

Ilja Klebanov

Andreas Bittracher

einmal, ab 16.10.2018, 14:00 - 16:00 (16 Termine)

A6/SR 009 Seminarraum

Péter Koltai

Ilja Klebanov

Andreas Bittracher

einmal, ab 17.10.2018, 14:00 - 16:00 (16 Termine)

A6/SR 009 Seminarraum

Péter Koltai

Ilja Klebanov

Andreas Bittracher

einmal, ab 16.10.2018, 14:00 - 16:00 (16 Termine)

T9/051 Seminarraum

Péter Koltai

Ilja Klebanov

Andreas Bittracher

einmal, ab 18.10.2018, 14:00 - 16:00 (16 Termine)

1.1.53 Seminarraum E2

Péter Koltai

Ilja Klebanov

Andreas Bittracher

einmal, ab 22.11.2018, 10:00 - 12:00 (11 Termine)

Module: Analysis II (0084dA1.2)

Analysis II

LV: 19211601

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4 SWS

Holger Reich

Lecture

Submod: 0084cA1.2.1

Akt: 30.01.2019 20:00

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

Thu, 10:00 - 12:00 (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

HFB/A Hörsaal

Holger Reich

12.02.2019 09:00 - 12:00

Nachklausur

T9/Gr. Hörsaal

Holger Reich

04.04.2019 10:00 - 12:30

Appointment series

A3/Hs 001 Hörsaal

Holger Reich

einmal, ab 16.10.2018, 10:00 - 12:00 (16 Termine)

A3/Hs 001 Hörsaal

Holger Reich

einmal, ab 18.10.2018, 10:00 - 12:00 (16 Termine)

Übung zu Analysis II

LV: 19211602

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2 SWS

Holger Reich

Filipp Levikov

Practice seminar

Submod: 0084cA1.2.2

Akt: 27.03.2019 14:00

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

Tue, 16:00 - 18:00 (T9/051 Seminarraum)

Wed, 10:00 - 12:00 (1.3.48 Seminarraum T3)

Additional appointments

Extraübung

A7/SR 031

Holger Reich

Filipp Levikov

02.04.2019 11:00 - 13:00

Appointment series

A6/SR 007/008 Seminarraum

Holger Reich

Filipp Levikov

einmal, ab 17.10.2018, 14:00 - 16:00 (16 Termine)

T9/051 Seminarraum

Holger Reich

Filipp Levikov

einmal, ab 16.10.2018, 16:00 - 18:00 (16 Termine)

1.3.48 Seminarraum T3

Holger Reich

Filipp Levikov

einmal, ab 17.10.2018, 10:00 - 12:00 (16 Termine)

Module: Analysis III (0084dA1.3)

Analysis III

LV: 19201301

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4 SWS

Alexander Schmitt

Lecture

Submod: 0084aA1.3.1

Akt: 14.02.2019 12:00

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

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

Description

References

Literatur

H. Amann, J. Escher: Analysis 2, Birkhäuser Verlag, 2008.
H. Amann, J. Escher: Analysis 3, Birkhäuser Verlag, 2008.
O. Forster: Analysis 2, Springer Verlag, 2012.
O. Forster: Analysis 3, Vieweg+Teubner, 2012.
H. Heuser: Lehrbuch der Analysis 2, Vieweg+Teubner, 2012.
S. Hildebrandt: Analysis 2, Springer Verlag, 2003.
J. Jost: Postmodern Analysis, Springer Verlag, 2008.
K. Königsberger: Analysis 2, Springer Verlag, 2004.
W. Rudin: Principles of Mathematical Analysis, International Series in Pure & Applied Mathematics, 1976.

und für geschichtlich Interessierte:

O. Becker: Grundlagen der Mathematik, Verlag Karl Alber, Freiburg, 1964.
E. Hairer, G. Wanner: Analysis by its History, Springer, 2000.
V.J. Katz: A History of Mathematics, Harper Collins, New York, 1993.

Additional appointments

Klausur

T9/Gr. Hörsaal

Alexander Schmitt

12.02.2019 08:00 - 10:00

zweite Klausur

A3/Hs 001 Hörsaal

Alexander Schmitt

05.04.2019 10:00 - 12:00

Appointment series

A6/SR 031 Seminarraum

Alexander Schmitt

einmal, ab 16.10.2018, 10:00 - 12:00 (16 Termine)

A6/SR 031 Seminarraum

Alexander Schmitt

einmal, ab 18.10.2018, 10:00 - 12:00 (16 Termine)

Übung zu Analysis III

LV: 19201302

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2 SWS

Alejandra Rincón Hidalgo

Practice seminar

Submod: 0084aA1.3.2

Akt: 20.09.2018 16:00

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

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

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

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

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Alejandra Rincón Hidalgo

einmal, ab 16.10.2018, 08:00 - 10:00 (16 Termine)

A3/019 Seminarraum

Alejandra Rincón Hidalgo

einmal, ab 16.10.2018, 08:00 - 10:00 (16 Termine)

A3/SR 119

Alejandra Rincón Hidalgo

einmal, ab 16.10.2018, 12:00 - 14:00 (16 Termine)

T9/049 Seminarraum

Alejandra Rincón Hidalgo

einmal, ab 17.10.2018, 12:00 - 14:00 (16 Termine)

Module: Linear Algebra I (0084dA1.4)

Lineare Algebra I

LV: 19201401

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4 SWS

Alexandru Constantinescu

Lecture

Submod: 0084aA2.1.1

Akt: 13.02.2019 12:00

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

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

Description

Content:

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

Prerequisites:

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

References

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

Additional appointments

Klausur

Hs 2 Hörsaal

Alexandru Constantinescu

13.02.2019 08:00 - 10:00

Nachklausur

Hs 2 Hörsaal

Alexandru Constantinescu

26.03.2019 10:00 - 12:00

Appointment series

A3/Hs 001 Hörsaal

Alexandru Constantinescu

einmal, ab 15.10.2018, 08:00 - 10:00 (16 Termine)

A3/Hs 001 Hörsaal

Alexandru Constantinescu

einmal, ab 17.10.2018, 08:00 - 10:00 (15 Termine)

Übung zu Lineare Algebra I

LV: 19201402

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2 SWS

Alexandru Constantinescu

Practice seminar

Submod: 0084aA2.1.2

Akt: 24.05.2019 12:00

Fri, 14:00 - 16:00 (T9/053 Seminarraum)

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

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

Wed, 12:00 - 14:00 (T9/053 Seminarraum)

Additional appointments

Appointment series

T9/053 Seminarraum

Alexandru Constantinescu

einmal, ab 19.10.2018, 14:00 - 16:00 (16 Termine)

A3/SR 119

Alexandru Constantinescu

einmal, ab 16.10.2018, 10:00 - 12:00 (16 Termine)

A3/ 024 Seminarraum

Alexandru Constantinescu

einmal, ab 15.10.2018, 14:00 - 16:00 (16 Termine)

T9/053 Seminarraum

Alexandru Constantinescu

einmal, ab 17.10.2018, 12:00 - 14:00 (16 Termine)

Module: Linear Algebra II (0084dA1.5)

Lineare Algebra II

LV: 19211701

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4 SWS

Dirk Werner

Lecture

Submod: 0084aA2.2.1

Akt: 06.03.2019 10:00

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

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

Description

Contents:

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

Prerequisites: Linear Algebra I

Literature:

Will be mentioned in the lecture.

Additional information

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

Additional appointments

Klausur

T9/Gr. Hörsaal

Dirk Werner

20.02.2019 10:00 - 12:00

Nachklausur

A6/SR 031 Seminarraum

Dirk Werner

08.04.2019 18:00 - 20:00

Appointment series

A3/Hs 001 Hörsaal

Dirk Werner

einmal, ab 17.10.2018, 12:00 - 14:00 (16 Termine)

A3/Hs 001 Hörsaal

Dirk Werner

einmal, ab 19.10.2018, 12:00 - 14:00 (16 Termine)

Übung zu Lineare Algebra II

LV: 19211702

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2 SWS

Dirk Werner

Practice seminar

Submod: 0084aA2.2.2

Akt: 17.12.2018 16:00

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

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

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

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

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Dirk Werner

einmal, ab 18.10.2018, 16:00 - 18:00 (16 Termine)

A6/SR 007/008 Seminarraum

Dirk Werner

einmal, ab 18.10.2018, 08:00 - 10:00 (16 Termine)

T9/SR 005 Übungsraum

Dirk Werner

einmal, ab 18.10.2018, 16:00 - 18:00 (16 Termine)

A6/SR 007/008 Seminarraum

Dirk Werner

einmal, ab 17.10.2018, 16:00 - 18:00 (16 Termine)

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

Computerorientierte Mathematik I (5 LP)

LV: 19200501

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2 SWS

Christof Schütte

Lecture

Submod: 0084aA3.1.1

Akt: 30.01.2019 12:00

Fri, 12:00 - 14:00 (T9/Gr. Hörsaal)

Description

Homepage: All current information on lectures and lectures

References

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

Additional appointments

Klausur

Hs 1a Hörsaal

T9/Gr. Hörsaal

Christof Schütte

15.02.2019 12:00 - 14:00

Nachklausur

Hs 1b Hörsaal

Hs 2 Hörsaal

Christof Schütte

12.04.2019 12:00 - 14:00

Appointment series

T9/Gr. Hörsaal

Christof Schütte

einmal, ab 19.10.2018, 12:00 - 14:00 (15 Termine)

Übung zu Computerorientierte Mathematik I

LV: 19200502

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2 SWS

Johannes Markus Zonker

Practice seminar

Submod: 0084aA3.1.2

Akt: 22.11.2018 12:00

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

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

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

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

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

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

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

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

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

Additional appointments

Appointment series

A3/SR 119

Johannes Markus Zonker

einmal, ab 17.10.2018, 12:00 - 14:00 (16 Termine)

A3/SR 119

Johannes Markus Zonker

einmal, ab 17.10.2018, 10:00 - 12:00 (16 Termine)

A3/SR 119

Johannes Markus Zonker

einmal, ab 15.10.2018, 12:00 - 14:00 (16 Termine)

A3/019 Seminarraum

Johannes Markus Zonker

einmal, ab 19.10.2018, 14:00 - 16:00 (16 Termine)

A6/SR 007/008 Seminarraum

Johannes Markus Zonker

einmal, ab 19.10.2018, 08:00 - 10:00 (16 Termine)

A6/SR 031 Seminarraum

Johannes Markus Zonker

einmal, ab 05.11.2018, 14:00 - 16:00 (13 Termine)

A3/ 024 Seminarraum

Johannes Markus Zonker

einmal, ab 15.10.2018, 10:00 - 12:00 (16 Termine)

KöLu24-26/SR 006 Neuro/Mathe

Johannes Markus Zonker

einmal, ab 18.10.2018, 10:00 - 12:00 (3 Termine)

A6/SR 032 Seminarraum

Johannes Markus Zonker

einmal, ab 16.10.2018, 12:00 - 14:00 (16 Termine)

Module: Stochastics I (0084dA1.8)

Stochastik I

LV: 19200601

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4 SWS

Timothy John Sullivan

Lecture

Submod: 0084bA4.2.1

Akt: 19.12.2018 10:00

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

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

Description

Content:

Models for situations involving chance: probability spaces, probability measures; frequentist and Bayesian interpretations of probability.
Conditional probabilities and expectations.
Random variables and their distributions; Characteristic values of the distributions: the expectation and variance
Discrete distributions: e.g. the uniform, binomial, geometric, and Poisson distributions.
Distributions with densities: e.g. the uniform, normal, and exponential distributions.
Joint distributions of several random variables: independence of random variables; conditional distributions; sums of independent random variables and their distributions.
Features of common distributions: expectation, covariance and correlation; characteristic and generating functions.
Approximation of the binomial distribution by the Poisson and normal distributions.
Limit theorems: the weak and strong laws of large numbers; the central limit theorem.
Data analysis and descriptive statistics: histograms; empirical distribution; features of sample distributions; examples of misleading descriptive statistics; linear regression.
Basic concepts and techniques of testing and estimation: maximum likelihood principle; confidence intervals; hypothesis testing; type I and type II errors.

References

literature

E. Behrends: Elementary Stochastics, Springer, 2013
H.-O. Georgii: Stochastics: Introduction to Probability Theory and Statistics, De Gruyter, 2007
U. Krengel: introduction to Probability Theory and Statistics, Vieweg, 2005
D. Meintrup, S. Schäffler, Stochastics: Theory and Applications, Springer, 2005

Most of the books listed are available online via the UB.

Additional information

Audience:
Students from the 3rd semester

Requirements:
Basics of Analysis and Linear Algebra

Additional appointments

Klausur

HFB/B Hörsaal

Timothy John Sullivan

15.02.2019 12:30 - 15:30

Appointment series

A6/SR 031 Seminarraum

Timothy John Sullivan

einmal, ab 18.10.2018, 08:00 - 10:00 (16 Termine)

A6/SR 031 Seminarraum

Timothy John Sullivan

einmal, ab 15.10.2018, 08:00 - 10:00 (16 Termine)

Übung zu Stochastik I

LV: 19200602

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2 SWS

Timothy John Sullivan

Han Cheng Lie

Practice seminar

Submod: 0084bA4.2.2

Akt: 07.03.2019 14:00

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

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

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

Additional appointments

Appointment series

A6/SR 025/026 Seminarraum

Timothy John Sullivan

Han Cheng Lie

einmal, ab 16.10.2018, 16:00 - 18:00 (16 Termine)

A3/SR 210 Seminarraum

Timothy John Sullivan

Han Cheng Lie

einmal, ab 15.10.2018, 12:00 - 14:00 (16 Termine)

A3/ 024 Seminarraum

Timothy John Sullivan

Han Cheng Lie

einmal, ab 15.10.2018, 12:00 - 14:00 (16 Termine)

Wahrscheinlichkeit und Statistik

LV: 19220901

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4 SWS

Jean-Philippe Labbé

Lecture

Submod: 0084cA1.8.1

Akt: 07.02.2019 10:43

Thu, 08:00 - 10:00 (T9/Gr. Hörsaal)

Mon, 08:00 - 10:00 (T9/Gr. Hörsaal)

Description

Principles of counting; elements of combinatorics
Models of random dependent processes: probability ranges, probability measures
Conditional probabilities; independence; Bayesian rule
Random variables and their distributions; characteristics of the distributions: Expected value and variance
Discrete distributions: Laplace distribution; binomial distribution; geometric distribution
Approximation of the binomial distribution by the normal distribution;
Approximation of the binomial distribution by the Poisson distribution
Distributions with densities: Equal distribution; Normal distribution; Exponential distribution
Common distributions of several random variables: discrete and with densities; independence from random variables; conditional distributions; sums of independent random variables and their distributions
Characteristics of common distributions: Expected value, covariance and correlation; conditional expectation
Limit theorems: weak law of large numbers and relative frequencies; the central limit theorem
Data analysis and descriptive statistics: histograms; empirical distribution; characteristics of sample distributions; examples of misleading descriptive statistics; linear regression
Elementary terms and techniques of testing and estimation: maximum likelihood principle; confidence intervals; hypothesis tests; first and second type errors

References

Additional appointments

Klausur

HFB/C Hörsaal

Jean-Philippe Labbé

14.02.2019 08:00 - 10:00

Nachklausur

HFB/C Hörsaal

Jean-Philippe Labbé

11.04.2019 08:00 - 10:00

Appointment series

T9/Gr. Hörsaal

Jean-Philippe Labbé

einmal, ab 18.10.2018, 08:00 - 10:00 (15 Termine)

T9/Gr. Hörsaal

Jean-Philippe Labbé

einmal, ab 22.10.2018, 08:00 - 10:00 (15 Termine)

Übüng zu Wahrscheinlichkeit und Statistik

LV: 19220902

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2 SWS

Jean-Philippe Labbé

Carsten Lange

Practice seminar

Submod: 0084cA1.8.2

Akt: 05.03.2019 16:00

Wed, 16:00 - 18:00 (A3/ 024 Seminarraum )

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

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

Thu, 16:00 - 18:00 (A3/ 024 Seminarraum )

Additional information

Aktuelle Informationen zur Veranstaltung finden Sie auf der Homepage der Vorlesung

Additional appointments

Appointment series

A3/ 024 Seminarraum

Jean-Philippe Labbé

Carsten Lange

einmal, ab 17.10.2018, 16:00 - 18:00 (16 Termine)

A6/SR 007/008 Seminarraum

Jean-Philippe Labbé

Carsten Lange

einmal, ab 17.10.2018, 10:00 - 12:00 (16 Termine)

A3/SR 119

Jean-Philippe Labbé

Carsten Lange

einmal, ab 19.10.2018, 14:00 - 16:00 (16 Termine)

A3/ 024 Seminarraum

Jean-Philippe Labbé

Carsten Lange

einmal, ab 18.10.2018, 16:00 - 18:00 (16 Termine)

Master's programme in Mathematics

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

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

Differentialgleichungen II - Dynamical Systems II

LV: 19201601

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4 SWS

Bernold Fiedler

Lecture

Submod: 0084bC2.4.1

Akt: 20.09.2018 08:16

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

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

Description

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

- Dynamical systems in continuous and discrete time;

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

- Stable and unstable manifolds;

- Shift dynamics and chaos;

- Hyperbolic dynamics;

- Center manifolds;

- Poincaré-Birkhoff normal form;

- Introduction to perturbation theory;

- Introduction to bifurcation theory;

- Introduction to ergodic theory.

Requirement: Differential Equations I

References

Literatur wird in der Vorlesung bekannt gegeben.

Additional appointments

Appointment series

A3/SR 130 Seminarraum (Hinterhaus)

Bernold Fiedler

einmal, ab 18.10.2018, 10:00 - 12:00 (16 Termine)

A3/SR 130 Seminarraum (Hinterhaus)

Bernold Fiedler

einmal, ab 16.10.2018, 10:00 - 12:00 (16 Termine)

Übung zu Differentialgleichungen II

LV: 19201602

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2 SWS

Hannes Stuke

Alejandro Lopez Nieto

Practice seminar

Submod: 0084bC2.4.2

Akt: 05.02.2019 12:00

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

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

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

Diskrete Geometrie I

LV: 19202001

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4 SWS

Pavle Blagojevic

Lecture

Submod: 0084bC3.1.1

Akt: 05.02.2019 12:00

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

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

Description

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

References

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

Additional information

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

Additional appointments

Klausur

T9/Gr. Hörsaal

Pavle Blagojevic

19.02.2019 10:00 - 12:00

Appointment series

A6/SR 032 Seminarraum

Pavle Blagojevic

einmal, ab 17.10.2018, 10:00 - 12:00 (16 Termine)

A6/SR 032 Seminarraum

Pavle Blagojevic

einmal, ab 16.10.2018, 08:00 - 10:00 (16 Termine)

Übung zu Diskrete Geometrie I

LV: 19202002

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2 SWS

Hannah Sjöberg

Practice seminar

Submod: 0084bC3.1.2

Akt: 20.09.2018 08:16

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

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

Seminar zur Diskreten Mathematik III

LV: 19206011

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2 SWS

Tibor Szabo

Seminar

Submod: 0280aA2.3.3

Akt: 12.10.2018 20:00

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

Description

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

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

Prerequisites:
Prerequisite is the successful completion of the lecture "Discrete Mathematics III" (or equivalent background: please contact the lecturer).
You must come to the preliminary meeting on September 15th at 12:00 noon in SR 031, A6.

For further information please check the following webpage.

References

Explizite Konstruktionen (Skript);
Alon-Spencer: The Probabilistic Method

Additional information

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

Prerequisites: Successful completion of the lecture "Probabilistic Method" (or equivalent background: please contact the lecturer).

Additional appointments

Appointment series

A7/SR 140 Seminarraum (Hinterhaus)

Tibor Szabo

einmal, ab 15.10.2018, 10:00 - 12:00 (16 Termine)

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

Basismodul: Algebra I

LV: 19202501

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4 SWS

Klaus Altmann

Lecture

Submod: 0084aC1.1.1

Akt: 10.06.2020 14:00

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

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

Description

? Affine algebraic varieties

? Rings, ideals, and modules

? Noetherian rings

? Local rings and localization

? Primary decompositione

? Finite and integral extensions

? Dimension theory

? Regular rings

Target Group
Students with the prerequisites mentioned below.

Homepage: Prof. Altmann

Additional information for students

Die Vorlesung Algebra I deckt auch die Inhalte der Vorlesung Zahlentheorie I ab.

Additional appointments

Klausur

A3/Hs 001 Hörsaal

Klaus Altmann

11.02.2019 12:00 - 14:00

Nachklausur

A3/Hs 001 Hörsaal

Klaus Altmann

04.04.2019 12:00 - 14:00

Appointment series

A6/SR 032 Seminarraum

Klaus Altmann

einmal, ab 15.10.2018, 12:00 - 14:00 (15 Termine)

A6/SR 032 Seminarraum

Klaus Altmann

einmal, ab 15.10.2018, 10:00 - 12:00 (16 Termine)

Übung zu Algebra I (Kommutative Algebra)

LV: 19202502

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2 SWS

Andrea Petracci

Practice seminar

Submod: 0084aC1.1.2

Akt: 22.11.2018 09:50

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

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

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

Basismodul: Numerik II

LV: 19202101

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4 SWS

Volker John

Lecture

Submod: 0084bC5.1.1

Akt: 22.11.2018 12:00

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

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

Description

The course will present two topics: numerical methods for stiff ordinary differential equations and iterative schemes for the solution of linear systems of equations.

Lecture notes will be available.

Homepage der Vorlesung: http://www.wias-berlin.de/people/john/LEHRE/lehre.html

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Volker John

einmal, ab 15.10.2018, 14:00 - 16:00 (16 Termine)

A6/SR 007/008 Seminarraum

Volker John

einmal, ab 15.10.2018, 10:00 - 12:00 (16 Termine)

Übung zu Basismodul: Numerik II

LV: 19202102

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2 SWS

Volker John

Practice seminar

Submod: 0084bC5.1.2

Akt: 22.11.2018 12:00

Thu, 12:00 - 14:00 (KöLu24-26/SR 006 Neuro/MatheT9/046 Seminarraum)

Module: "Special Module ""Differential Geometry III""" (0280aA5.3)

Differentialgeometrie III

LV: 19205201

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2 SWS

Konrad Polthier

Lecture

Submod: 0280aA5.3.1

Akt: 20.09.2018 08:16

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

Übung zu Differentialgeometrie III

LV: 19205202

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2 SWS

Konrad Polthier

Henriette-Sophie Lipschütz

Practice seminar

Submod: 0280aA5.3.2

Akt: 25.10.2018 16:00

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

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

Description

The first tute will take place in semester week 2.

Additional appointments

Appointment series

A7/SR 140 Seminarraum (Hinterhaus)

Konrad Polthier

Henriette-Sophie Lipschütz

einmal, ab 30.10.2018, 08:00 - 10:00 (14 Termine)

A6/SR 031 Seminarraum

Konrad Polthier

Henriette-Sophie Lipschütz

einmal, ab 19.10.2018, 08:00 - 10:00 (0 Termine)

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

Aufbaumodul: Topologie III

LV: 19215101

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2 SWS

Pavle Blagojevic

Lecture

Submod: 0280aA6.3.1

Akt: 20.09.2018 08:17

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

Description

Content:

Homology and cohomology of manifolds proving Poincare duality isomorphism,
Cohomology operations introducing in particular Steenrod squares,
Vector bundles, and
Characteristic classes, in particular we will introduce Stiefely-Whiteny classes using Steenrod squares.

Introduced methods will be illustrated by applications on different classical problems of algebraic topology.

References

The books that can be used for these topics are:

G. Bredon: Topology and Geometry, Springer GTM 139,
J. Milnor, J.D. Sasheff: Characteristic classes, (AM-76) Princeton University press
Allen Hatcher: Vector Bundles & K-theiry, online book
http://www.math.cornell.edu/~hatcher/VBKT/VBpage.html

Additional appointments

Appointment series

A3/SR 119

Pavle Blagojevic

einmal, ab 15.10.2018, 10:00 - 12:00 (16 Termine)

Übung zu Aufbaumodul Topologie III

LV: 19215102

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2 SWS

Pavle Blagojevic

Practice seminar

Submod: 0280aA6.3.2

Akt: 20.09.2018 08:17

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

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

Module: Basismodul Differentialgeometrie I (0280bA1.1)

Differentialgeometrie I

LV: 19202601

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4 SWS

Klaus Ecker

Lecture

Submod: 0084cB3.5.1

Akt: 22.11.2018 12:00

Tue, 10:00 - 14:00 (A3/ 024 Seminarraum )

Description

Selection of the following topics:

Curves and surfaces in Euclidean space
Metrics and Riemannian manifolds
Notions of curvature
Vectorfields, covariant derivatives
Geodesics, exponential map
Gauss- Bonnet theorem
Relations to discrete differential geometry

This course is a BMS course and will be held in English if requested.

References

Spivak, M.: A comprehensive introduction in differential geometry I–II

Montiel S. and Ros A.: Curves and Surfaces

Additional information

Requirements:
Analysis I -III and Linear Algebra I - II.

Additional appointments

Appointment series

A3/ 024 Seminarraum

Klaus Ecker

einmal, ab 16.10.2018, 10:00 - 14:00 (16 Termine)

Übung zu Differentialgeometrie I

LV: 19202602

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2 SWS

Klaus Ecker

Practice seminar

Submod: 0084cB3.5.2

Akt: 22.11.2018 12:00

Tue, 14:00 - 16:00 (1.1.53 Seminarraum E2)

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

Module: Aufbaumodul Differentialgeometrie III (0280bA1.3)

Differentialgeometrie III

LV: 19205201

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2 SWS

Konrad Polthier

Lecture

Submod: 0280aA5.3.1

Akt: 20.09.2018 08:16

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

Übung zu Differentialgeometrie III

LV: 19205202

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2 SWS

Konrad Polthier

Henriette-Sophie Lipschütz

Practice seminar

Submod: 0280aA5.3.2

Akt: 25.10.2018 16:00

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

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

Description

The first tute will take place in semester week 2.

Additional appointments

Appointment series

A7/SR 140 Seminarraum (Hinterhaus)

Konrad Polthier

Henriette-Sophie Lipschütz

einmal, ab 30.10.2018, 08:00 - 10:00 (14 Termine)

A6/SR 031 Seminarraum

Konrad Polthier

Henriette-Sophie Lipschütz

einmal, ab 19.10.2018, 08:00 - 10:00 (0 Termine)

Module: Forschungsmodul Differentialgeometrie (0280bA1.4)

Forschungsmodul: Differentialgeometrie

LV: 19214411

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2 SWS

Konrad Polthier