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

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4 SWS

Bernold Fiedler

Lecture

Submod: 0084aA1.1.1

Akt: 13.10.2021 16:00

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

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

Description

Analysis in one of the two fundamental courses in mathematics. In the lectures Analysis I - III we treat mathematical induction, convergence, sequences and series, compactness, differentiation and integration, transformation theorems, the implicit function theorem, and more. These are the tools of the trade and no mathematician gets along without them.

The trade is learned by solving the exercises and participating in the exercise groups.

Homepage:

References

Literature:

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

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

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

Scheerer, Hans: Brückenkurs, Skript FU Berlin 2006.

Additional appointments

Appointment series

Virtueller Raum 01

Bernold Fiedler

einmal, ab 21.10.2021, 10:00 - 12:00 (16 Termine)

Virtueller Raum 01

Bernold Fiedler

einmal, ab 19.10.2021, 10:00 - 12:00 (16 Termine)

Practice seminar for Analysis I

LV: 19202802

a.SAP verarbeitet

2 SWS

Bernold Fiedler

Practice seminar

Submod: 0084aA1.1.2

Akt: 16.11.2021 12:00

Mon, 10:00 - 12:00 (0.1.01 Hörsaal B)

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

Mon, 10:00 - 12:00 (A7/SR 031)

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

Thu, 08:00 - 10:00 (Virtueller Raum 03)

Thu, 12:00 - 14:00 (Virtueller Raum 15)

Additional appointments

Appointment series

0.1.01 Hörsaal B

Bernold Fiedler

einmal, ab 01.11.2021, 10:00 - 12:00 (16 Termine)

A7/SR 031

Bernold Fiedler

einmal, ab 20.10.2021, 12:00 - 14:00 (16 Termine)

A7/SR 031

Bernold Fiedler

einmal, ab 18.10.2021, 10:00 - 12:00 (16 Termine)

Virtueller Raum 01

Bernold Fiedler

einmal, ab 21.10.2021, 16:00 - 18:00 (18 Termine)

Virtueller Raum 03

Bernold Fiedler

einmal, ab 28.10.2021, 08:00 - 10:00 (15 Termine)

Virtueller Raum 15

Bernold Fiedler

einmal, ab 21.10.2021, 12:00 - 14:00 (16 Termine)

Module: Analysis III (0084aA1.3)

Analysis III

LV: 19201301

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4 SWS

Carsten Gräser

Lecture

Submod: 0084aA1.3.1

Akt: 25.03.2022 16:40

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

Thu, 10:00 - 12:00 (T9/046 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

A6/SR 031 Seminarraum

Carsten Gräser

29.03.2022 10:00 - 12:00

Appointment series

T9/046 Seminarraum

Carsten Gräser

einmal, ab 19.10.2021, 10:00 - 12:00 (16 Termine)

T9/046 Seminarraum

Carsten Gräser

einmal, ab 21.10.2021, 10:00 - 12:00 (16 Termine)

Practice seminar for Analysis III

LV: 19201302

a.SAP verarbeitet

2 SWS

Carsten Gräser

Practice seminar

Submod: 0084aA1.3.2

Akt: 28.09.2021 19:18

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

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

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

Wed, 12:00 - 14:00 (T9/SR 006 Seminarraum)

Additional appointments

Appointment series

T9/046 Seminarraum

Carsten Gräser

einmal, ab 19.10.2021, 08:00 - 10:00 (16 Termine)

A3/019 Seminarraum

Carsten Gräser

einmal, ab 19.10.2021, 12:00 - 14:00 (16 Termine)

A6/SR 032 Seminarraum

Carsten Gräser

einmal, ab 19.10.2021, 12:00 - 14:00 (16 Termine)

T9/SR 006 Seminarraum

Carsten Gräser

einmal, ab 20.10.2021, 12:00 - 14:00 (16 Termine)

Module: Linear Algebra I (0084aA2.1)

Linear Algebra I

LV: 19201401

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4 SWS

Dirk Werner

Lecture

Submod: 0084aA2.1.1

Akt: 18.11.2021 18:00

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

Siegfried Bosch, Lineare Algebra, 4. Auflage, Springer-Verlag, 2008;
Gerd Fischer, Lernbuch Lineare Algebra und Analytische Geometrie, Springer-Verlag, 2017;
Dirk Werner, Lineare Algebra. Vorlesungsskript.

Zu den Grundlagen

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

Additional appointments

Lineare Algebra I

HFB/B Hörsaal

Dirk Werner

22.02.2022 10:00 - 12:00

Appointment series

A3/Hs 001 Hörsaal

Dirk Werner

einmal, ab 18.10.2021, 08:00 - 10:00 (16 Termine)

A3/Hs 001 Hörsaal

Dirk Werner

einmal, ab 20.10.2021, 08:00 - 10:00 (16 Termine)

Practice seminar for Linear Algebra I

LV: 19201402

a.SAP verarbeitet

2 SWS

Dirk Werner

Practice seminar

Submod: 0084aA2.1.2

Akt: 22.02.2022 13:13

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

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

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

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

Additional appointments

Wiederholungsklausur zu Lineare Algebra I

T9/Gr. Hörsaal

Dirk Werner

25.04.2022 18:00 - 20:00

Appointment series

T9/049 Seminarraum

Dirk Werner

einmal, ab 20.10.2021, 12:00 - 14:00 (16 Termine)

A6/SR 007/008 Seminarraum

Dirk Werner

einmal, ab 18.10.2021, 14:00 - 16:00 (16 Termine)

A6/SR 007/008 Seminarraum

Dirk Werner

einmal, ab 18.10.2021, 10:00 - 12:00 (16 Termine)

A6/SR 025/026 Seminarraum

Dirk Werner

einmal, ab 20.10.2021, 14:00 - 16:00 (16 Termine)

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

Computerorientated Mathematics I (5 LP)

LV: 19200501

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2 SWS

Christof Schütte

Lecture

Submod: 0084aA3.1.1

Akt: 14.02.2022 15:43

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

Computerorientierte Mathematik I - Klausur (Nachteilsausgleich)

A6/SR 025/026 Seminarraum

Christof Schütte

21.02.2022 15:00 - 18:00

Computerorientierte Mathematik I (5 LP) - Nachklausur

Virtueller Raum 01

Christof Schütte

11.04.2022 10:00 - 12:00

Appointment series

T9/Gr. Hörsaal

Christof Schütte

einmal, ab 22.10.2021, 12:00 - 14:00 (16 Termine)

Practice seminar for Computerorientated Mathematics I (5 LP)

LV: 19200502

a.SAP verarbeitet

2 SWS

Christof Schütte

Andreas Bittracher

Practice seminar

Submod: 0084aA3.1.2

Akt: 03.12.2021 16:00

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

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

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

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

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

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

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

Thu, 12:00 - 14:00 (KöLu24-26/SR 017 (vorrang Schülerlabor))

Additional appointments

Appointment series

A6/SR 025/026 Seminarraum

Christof Schütte

Andreas Bittracher

einmal, ab 18.10.2021, 16:00 - 18:00 (16 Termine)

A6/SR 025/026 Seminarraum

Christof Schütte

Andreas Bittracher

einmal, ab 20.10.2021, 12:00 - 14:00 (16 Termine)

A6/SR 025/026 Seminarraum

Christof Schütte

Andreas Bittracher

einmal, ab 22.10.2021, 14:00 - 16:00 (16 Termine)

T9/046 Seminarraum

Christof Schütte

Andreas Bittracher

einmal, ab 12.11.2021, 10:00 - 12:00 (15 Termine)

A3/019 Seminarraum

Christof Schütte

Andreas Bittracher

einmal, ab 18.10.2021, 14:00 - 16:00 (16 Termine)

A6/SR 025/026 Seminarraum

Christof Schütte

Andreas Bittracher

einmal, ab 18.10.2021, 12:00 - 14:00 (16 Termine)

A6/SR 025/026 Seminarraum

Christof Schütte

Andreas Bittracher

einmal, ab 22.10.2021, 16:00 - 18:00 (16 Termine)

KöLu24-26/SR 017 (vorrang Schülerlabor)

Christof Schütte

Andreas Bittracher

einmal, ab 21.10.2021, 12:00 - 14:00 (16 Termine)

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

Basic Module: Algebra I

LV: 19202501

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4 SWS

Klaus Altmann

Lecture

Submod: 0084aC1.1.1

Akt: 03.11.2021 14:00

Wed, 16:00 - 20:00 (Hs A (Raum B.006, 200 Pl.))

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 appointments

Klausur

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

Klaus Altmann

16.02.2022 16:00 - 20:00

Nachklausur

T9/Gr. Hörsaal

Klaus Altmann

06.04.2022 12:00 - 14:00

Appointment series

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

Klaus Altmann

einmal, ab 20.10.2021, 16:00 - 20:00 (15 Termine)

Practice seminar for Basic Module: Algebra I

LV: 19202541

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2 SWS

Klaus Altmann

Practice seminar

Submod: 0084aC1.1.2

Akt: 22.10.2021 12:00

Mon, 12:00 - 14:00 (1.3.14 Hörsaal A)

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

Bernold Fiedler

Lecture

Submod: 0084aA1.1.1

Akt: 13.10.2021 16:00

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

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

Description

The trade is learned by solving the exercises and participating in the exercise groups.

Homepage:

References

Literature:

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

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

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

Scheerer, Hans: Brückenkurs, Skript FU Berlin 2006.

Additional appointments

Appointment series

Virtueller Raum 01

Bernold Fiedler

einmal, ab 21.10.2021, 10:00 - 12:00 (16 Termine)

Virtueller Raum 01

Bernold Fiedler

einmal, ab 19.10.2021, 10:00 - 12:00 (16 Termine)

Practice seminar for Analysis I

LV: 19202802

a.SAP verarbeitet

2 SWS

Bernold Fiedler

Practice seminar

Submod: 0084aA1.1.2

Akt: 16.11.2021 12:00

Mon, 10:00 - 12:00 (0.1.01 Hörsaal B)

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

Mon, 10:00 - 12:00 (A7/SR 031)

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

Thu, 08:00 - 10:00 (Virtueller Raum 03)

Thu, 12:00 - 14:00 (Virtueller Raum 15)

Additional appointments

Appointment series

0.1.01 Hörsaal B

Bernold Fiedler

einmal, ab 01.11.2021, 10:00 - 12:00 (16 Termine)

A7/SR 031

Bernold Fiedler

einmal, ab 20.10.2021, 12:00 - 14:00 (16 Termine)

A7/SR 031

Bernold Fiedler

einmal, ab 18.10.2021, 10:00 - 12:00 (16 Termine)

Virtueller Raum 01

Bernold Fiedler

einmal, ab 21.10.2021, 16:00 - 18:00 (18 Termine)

Virtueller Raum 03

Bernold Fiedler

einmal, ab 28.10.2021, 08:00 - 10:00 (15 Termine)

Virtueller Raum 15

Bernold Fiedler

einmal, ab 21.10.2021, 12:00 - 14:00 (16 Termine)

Module: Analysis III (0084aA1.3)

Analysis III

LV: 19201301

a.SAP verarbeitet

4 SWS

Carsten Gräser

Lecture

Submod: 0084aA1.3.1

Akt: 25.03.2022 16:40

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

Thu, 10:00 - 12:00 (T9/046 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

A6/SR 031 Seminarraum

Carsten Gräser

29.03.2022 10:00 - 12:00

Appointment series

T9/046 Seminarraum

Carsten Gräser

einmal, ab 19.10.2021, 10:00 - 12:00 (16 Termine)

T9/046 Seminarraum

Carsten Gräser

einmal, ab 21.10.2021, 10:00 - 12:00 (16 Termine)

Practice seminar for Analysis III

LV: 19201302

a.SAP verarbeitet

2 SWS

Carsten Gräser

Practice seminar

Submod: 0084aA1.3.2

Akt: 28.09.2021 19:18

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

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

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

Wed, 12:00 - 14:00 (T9/SR 006 Seminarraum)

Additional appointments

Appointment series

T9/046 Seminarraum

Carsten Gräser

einmal, ab 19.10.2021, 08:00 - 10:00 (16 Termine)

A3/019 Seminarraum

Carsten Gräser

einmal, ab 19.10.2021, 12:00 - 14:00 (16 Termine)

A6/SR 032 Seminarraum

Carsten Gräser

einmal, ab 19.10.2021, 12:00 - 14:00 (16 Termine)

T9/SR 006 Seminarraum

Carsten Gräser

einmal, ab 20.10.2021, 12:00 - 14:00 (16 Termine)

Module: Linear Algebra I (0084aA2.1)

Linear Algebra I

LV: 19201401

a.SAP verarbeitet

4 SWS

Dirk Werner

Lecture

Submod: 0084aA2.1.1

Akt: 18.11.2021 18:00

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

Siegfried Bosch, Lineare Algebra, 4. Auflage, Springer-Verlag, 2008;
Gerd Fischer, Lernbuch Lineare Algebra und Analytische Geometrie, Springer-Verlag, 2017;
Dirk Werner, Lineare Algebra. Vorlesungsskript.

Zu den Grundlagen

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

Additional appointments

Lineare Algebra I

HFB/B Hörsaal

Dirk Werner

22.02.2022 10:00 - 12:00

Appointment series

A3/Hs 001 Hörsaal

Dirk Werner

einmal, ab 18.10.2021, 08:00 - 10:00 (16 Termine)

A3/Hs 001 Hörsaal

Dirk Werner

einmal, ab 20.10.2021, 08:00 - 10:00 (16 Termine)

Practice seminar for Linear Algebra I

LV: 19201402

a.SAP verarbeitet

2 SWS

Dirk Werner

Practice seminar

Submod: 0084aA2.1.2

Akt: 22.02.2022 13:13

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

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

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

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

Additional appointments

Wiederholungsklausur zu Lineare Algebra I

T9/Gr. Hörsaal

Dirk Werner

25.04.2022 18:00 - 20:00

Appointment series

T9/049 Seminarraum

Dirk Werner

einmal, ab 20.10.2021, 12:00 - 14:00 (16 Termine)

A6/SR 007/008 Seminarraum

Dirk Werner

einmal, ab 18.10.2021, 14:00 - 16:00 (16 Termine)

A6/SR 007/008 Seminarraum

Dirk Werner

einmal, ab 18.10.2021, 10:00 - 12:00 (16 Termine)

A6/SR 025/026 Seminarraum

Dirk Werner

einmal, ab 20.10.2021, 14:00 - 16:00 (16 Termine)

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

Computerorientated Mathematics I (5 LP)

LV: 19200501

a.SAP verarbeitet

2 SWS

Christof Schütte

Lecture

Submod: 0084aA3.1.1

Akt: 14.02.2022 15:43

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

Computerorientierte Mathematik I - Klausur (Nachteilsausgleich)

A6/SR 025/026 Seminarraum

Christof Schütte

21.02.2022 15:00 - 18:00

Computerorientierte Mathematik I (5 LP) - Nachklausur

Virtueller Raum 01

Christof Schütte

11.04.2022 10:00 - 12:00

Appointment series

T9/Gr. Hörsaal

Christof Schütte

einmal, ab 22.10.2021, 12:00 - 14:00 (16 Termine)

Practice seminar for Computerorientated Mathematics I (5 LP)

LV: 19200502

a.SAP verarbeitet

2 SWS

Christof Schütte

Andreas Bittracher

Practice seminar

Submod: 0084aA3.1.2

Akt: 03.12.2021 16:00

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

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

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

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

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

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

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

Thu, 12:00 - 14:00 (KöLu24-26/SR 017 (vorrang Schülerlabor))

Additional appointments

Appointment series

A6/SR 025/026 Seminarraum

Christof Schütte

Andreas Bittracher

einmal, ab 18.10.2021, 16:00 - 18:00 (16 Termine)

A6/SR 025/026 Seminarraum

Christof Schütte

Andreas Bittracher

einmal, ab 20.10.2021, 12:00 - 14:00 (16 Termine)

A6/SR 025/026 Seminarraum

Christof Schütte

Andreas Bittracher

einmal, ab 22.10.2021, 14:00 - 16:00 (16 Termine)

T9/046 Seminarraum

Christof Schütte

Andreas Bittracher

einmal, ab 12.11.2021, 10:00 - 12:00 (15 Termine)

A3/019 Seminarraum

Christof Schütte

Andreas Bittracher

einmal, ab 18.10.2021, 14:00 - 16:00 (16 Termine)

A6/SR 025/026 Seminarraum

Christof Schütte

Andreas Bittracher

einmal, ab 18.10.2021, 12:00 - 14:00 (16 Termine)

A6/SR 025/026 Seminarraum

Christof Schütte

Andreas Bittracher

einmal, ab 22.10.2021, 16:00 - 18:00 (16 Termine)

KöLu24-26/SR 017 (vorrang Schülerlabor)

Christof Schütte

Andreas Bittracher

einmal, ab 21.10.2021, 12:00 - 14:00 (16 Termine)

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

Stochastics I

LV: 19200601

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4 SWS

Nicolas Perkowski

Lecture

Submod: 0084bA4.2.1

Akt: 24.02.2022 16:00

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

Thu, 08:00 - 10:00 (T9/Gr. Hörsaal)

Mon, 08:00 - 10:00 ()

Description

Inhalt:

Prinzipien des Zählens; Elemente der Kombinatorik
Modelle vom Zufall abhängiger Vorgänge: Wahrscheinlichkeitsräume, Wahrscheinlichkeitsmaße
Bedingte Wahrscheinlichkeiten; Unabhängigkeit; Bayes'sche Regel
Zufallsvariablen und ihre Verteilungen; Kenngrössen der Verteilungen: Erwartungswert und Varianz
Diskrete Verteilungen: Laplace-Verteilung; Binomialverteilung; geometrische Verteilung
Approximation der Binomialverteilung durch die Normalverteilung;
Approximation der Binomialverteilung durch die Poissonverteilung
Verteilungen mit Dichten: Gleichverteilung; Normalverteilung; Exponentialverteilung
Gemeinsame Verteilungen von mehreren Zufallsvariablen: diskret und mit Dichten; Unabhängigkeit von Zufallsvariablen; bedingte Verteilungen; Summen unabhängiger Zufallsvariablen und ihre Verteilungen
Kenngrößen gemeinsamer Verteilungen: Erwartungswert, Kovarianz und Korrelation; bedingte Erwartung
Grenzwertsätze: schwaches Gesetz der großen Zahl und relative Häufigkeiten; der zentrale Grenzwertsatz
Elementare Begriffe und Techniken des Testens und Schätzens: Maximum-Likelihood-Prinzip; Konfidenzintervalle; Hypothesentests; Fehler erster und zweiter Art

Auf der Homepage und auf Whiteboard finden Sie nähere Informationen.

References

Literatur:

E. Behrends: Elementare Stochastik, Springer, 2013
H.-O. Georgii: Stochastik: Einführung in die Wahrscheinlichkeitstheorie und Statistik, De Gruyter, 2007
A. Klenke: Wahrscheinlichkeitstheorie, Springer, 2020
D. Meintrup, S. Schäffler, Stochastik: Theorie und Anwendungen, Springer, 2005

Über die Campusbibliothek der FU Berlin sind die meisten der oben aufgeführten Bücher auch elektronisch verfügbar.

Additional information

Zielgruppe:
Studierende ab dem 3. Semester Voraussetzungen: Grundkenntnisse aus Analysis und Linearer Algebra

Additional appointments

Klausur

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

Online - zeitABhängig

Nicolas Perkowski

03.03.2022 09:00 - 12:00

Nachklausur

T9/Gr. Hörsaal

Nicolas Perkowski

07.04.2022 09:00 - 12:00

Appointment series

A6/SR 031 Seminarraum

Nicolas Perkowski

einmal, ab 18.10.2021, 08:00 - 10:00 (16 Termine)

T9/Gr. Hörsaal

Nicolas Perkowski

einmal, ab 21.10.2021, 08:00 - 10:00 (16 Termine)

Nicolas Perkowski

einmal, ab 18.10.2021, 08:00 - 10:00 (16 Termine)

Tutorial: Stochastics I

LV: 19200602

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2 SWS

Nicolas Perkowski

Immanuel Zachhuber

Practice seminar

Submod: 0084bA4.2.2

Akt: 28.09.2021 19:16

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

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

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

Basic Module: Algebra I

LV: 19202501

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4 SWS

Klaus Altmann

Lecture

Submod: 0084aC1.1.1

Akt: 03.11.2021 14:00

Wed, 16:00 - 20:00 (Hs A (Raum B.006, 200 Pl.))

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 appointments

Klausur

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

Klaus Altmann

16.02.2022 16:00 - 20:00

Nachklausur

T9/Gr. Hörsaal

Klaus Altmann

06.04.2022 12:00 - 14:00

Appointment series

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

Klaus Altmann

einmal, ab 20.10.2021, 16:00 - 20:00 (15 Termine)

Practice seminar for Basic Module: Algebra I

LV: 19202541

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2 SWS

Klaus Altmann

Practice seminar

Submod: 0084aC1.1.2

Akt: 22.10.2021 12:00

Mon, 12:00 - 14:00 (1.3.14 Hörsaal A)

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

Algebra and Theory of Numbers

LV: 19200701

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4 SWS

Alexandru Constantinescu

Lecture

Submod: 0084bC1.6.1

Akt: 01.02.2022 16:11

Wed, 12:00 - 14:00 (Hs B (Raum B.004, 100 Pl.))

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 2 Algebra und Zahlentheorie

T9/Gr. Hörsaal

Alexandru Constantinescu

04.04.2022 10:00 - 13:00

Appointment series

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

Alexandru Constantinescu

einmal, ab 20.10.2021, 12:00 - 14:00 (18 Termine)

Practice seminar for Algebra and Theory of Numbers

LV: 19200702

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2 SWS

Alexandru Constantinescu

Practice seminar

Submod: 0084bC1.6.2

Akt: 28.09.2021 22:00

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

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

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

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Alexandru Constantinescu

einmal, ab 21.10.2021, 14:00 - 16:00 (15 Termine)

A6/SR 007/008 Seminarraum

Alexandru Constantinescu

einmal, ab 21.10.2021, 12:00 - 14:00 (15 Termine)

A6/SR 007/008 Seminarraum

Alexandru Constantinescu

einmal, ab 21.10.2021, 10:00 - 12:00 (15 Termine)

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

Functional Analysis

LV: 19201901

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4 SWS

Péter Koltai

Maximilian Engel

Lecture

Submod: 0084bC2.2.1

Akt: 16.12.2021 09:48

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

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

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.

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 information

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.

Additional appointments

Klausur

A3/Hs 001 Hörsaal

Péter Koltai

Maximilian Engel

23.02.2022 08:00 - 10:00

Nachklausur

A6/SR 031 Seminarraum

Péter Koltai

Maximilian Engel

13.04.2022 08:00 - 10:00

Appointment series

Virtueller Raum 29

Péter Koltai

Maximilian Engel

einmal, ab 20.10.2021, 08:00 - 10:00 (16 Termine)

Virtueller Raum 29

Péter Koltai

Maximilian Engel

einmal, ab 21.10.2021, 08:00 - 10:00 (16 Termine)

Tutorial: Functional Analysis

LV: 19201902

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2 SWS

Péter Koltai

Maximilian Engel

Practice seminar

Submod: 0084bC2.2.2

Akt: 18.10.2021 14:00

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

Description

Inhalt:

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

Studierende vom 4. Semester an. Voraussetzungen:

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

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

Additional appointments

Appointment series

Virtueller Raum 21

Péter Koltai

Maximilian Engel

einmal, ab 21.10.2021, 14:00 - 16:00 (16 Termine)

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: 15.03.2022 09:11

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

Thu, 12:00 - 14:00 (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

Kryptographie und Sicherheit in Verteilten Systemen

T9/Gr. Hörsaal

Volker Roth

22.04.2022 16:00 - 18:00

Appointment series

T9/053 Seminarraum

Volker Roth

einmal, ab 19.10.2021, 16:00 - 18:00 (16 Termine)

T9/053 Seminarraum

Volker Roth

einmal, ab 21.10.2021, 12:00 - 14:00 (16 Termine)

Practice seminar for Cryptography and Security in Distributed Systems

LV: 19303602

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2 SWS

Volker Roth

Oliver Wiese

Practice seminar

Submod: 0084bC3.6.2

Akt: 28.09.2021 15:27

Wed, 10:00 - 12:00 (A7/SR 031)

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

Discrete Geometrie I

LV: 19202001

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4 SWS

Christian Haase

Florian Frick

Lecture

Submod: 0084bC3.1.1

Akt: 24.10.2022 16:00

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

Wed, 10:00 - 12:00 (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: Basic structures in discrete geometry

polyhedra and polyhedral complexes
configurations of points, hyperplanes, subspaces
Subdivisions and triangulations (including Delaunay and Voronoi)
Polytope theory
Representations and the theorem of Minkowski-Weyl
polarity, simple/simplicial polytopes, shellability
shellability, face lattices, f-vectors, Euler- and Dehn-Sommerville
graphs, diameters, Hirsch (ex-)conjecture
Geometry of linear programming
linear programs, simplex algorithm, LP-duality
Combinatorial geometry / Geometric combinatorics
Arrangements of points and lines, Sylvester-Gallai, Erdos-Szekeres,
Szemeredi--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

Diskrete Geometrie I

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

Christian Haase

Florian Frick

21.12.2021 10:00 - 18:00

Klausur Diskrete Geometrie I

T9/Gr. Hörsaal

Christian Haase

Florian Frick

22.02.2022 10:00 - 12:00

Nachklausur

T9/Gr. Hörsaal

Christian Haase

Florian Frick

29.03.2022 12:00 - 14:00

Appointment series

A6/SR 032 Seminarraum

Christian Haase

Florian Frick

einmal, ab 19.10.2021, 10:00 - 12:00 (16 Termine)

A6/SR 032 Seminarraum

Christian Haase

Florian Frick

einmal, ab 20.10.2021, 10:00 - 12:00 (16 Termine)

Practice seminar for Discrete Geometrie I

LV: 19202002

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2 SWS

Sophie Rehberg

Practice seminar

Submod: 0084bC3.1.2

Akt: 12.10.2021 10:47

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

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

Basic Module: Numeric II

LV: 19202101

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4 SWS

Ralf Kornhuber

Lecture

Submod: 0084bC5.1.1

Akt: 28.09.2021 18:59

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

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

Description

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

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

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

For more information please see the lecture homepage

Additional appointments

Appointment series

A6/SR 025/026 Seminarraum

Ralf Kornhuber

einmal, ab 18.10.2021, 14:00 - 16:00 (16 Termine)

A6/SR 032 Seminarraum

Ralf Kornhuber

einmal, ab 18.10.2021, 10:00 - 12:00 (16 Termine)

Practice seminar for Basic Module: Numeric II

LV: 19202102

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2 SWS

Ralf Kornhuber

Lasse Hinrichsen-Bischoff

Practice seminar

Submod: 0084bC5.1.2

Akt: 28.09.2021 19:19

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

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

Algorithms, Data Structures, and Data Abstraction

LV: 19300201

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4 SWS

Günther Rothe

Lecture

Submod: 0084bC6.2.1

Akt: 17.02.2022 14:00

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

Virtueller Raum 01

Online - zeitABhängig

Günther Rothe

24.02.2022 14:00 - 16:00

Nachklausur

Hs 1a Hörsaal

Günther Rothe

31.03.2022 14:00 - 16:00

Appointment series

T9/Gr. Hörsaal

Günther Rothe

einmal, ab 19.10.2021, 14:00 - 16:00 (16 Termine)

T9/Gr. Hörsaal

Günther Rothe

einmal, ab 21.10.2021, 14:00 - 16:00 (16 Termine)

Practice seminar for Algorithms, Data Structures, and Data Abstraction

LV: 19300202

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2 SWS

Günther Rothe

Practice seminar

Submod: 0084bC6.2.2

Akt: 30.09.2021 14:00

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

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

Tue, 08:00 - 10:00 (T9/051 Seminarraum)

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

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

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

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

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

Tue, 12:00 - 14:00 (T9/051 Seminarraum)

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

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

Additional appointments

Appointment series

T9/046 Seminarraum

Günther Rothe

einmal, ab 19.10.2021, 16:00 - 18:00 (16 Termine)

T9/051 Seminarraum

Günther Rothe

einmal, ab 19.10.2021, 10:00 - 12:00 (16 Termine)

T9/051 Seminarraum

Günther Rothe

einmal, ab 19.10.2021, 08:00 - 10:00 (16 Termine)

T9/053 Seminarraum

Günther Rothe

einmal, ab 19.10.2021, 12:00 - 14:00 (16 Termine)

T9/051 Seminarraum

Günther Rothe

einmal, ab 18.10.2021, 14:00 - 16:00 (16 Termine)

T9/SR 006 Seminarraum

Günther Rothe

einmal, ab 22.10.2021, 08:00 - 10:00 (16 Termine)

T9/049 Seminarraum

Günther Rothe

einmal, ab 19.10.2021, 16:00 - 18:00 (16 Termine)

T9/SR 006 Seminarraum

Günther Rothe

einmal, ab 25.10.2021, 10:00 - 12:00 (15 Termine)

T9/051 Seminarraum

Günther Rothe

einmal, ab 19.10.2021, 12:00 - 14:00 (16 Termine)

T9/053 Seminarraum

Günther Rothe

einmal, ab 19.10.2021, 10:00 - 12:00 (16 Termine)

T9/053 Seminarraum

Günther Rothe

einmal, ab 18.10.2021, 14:00 - 16:00 (16 Termine)

Module: Seminar on Algorithms (0084bC6.5)

Seminar on Algorithms: Clustering

LV: 19306711

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2 SWS

László Kozma

Seminar

Submod: 0084bC6.5.1

Akt: 25.10.2021 12:00

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

Description

Clustering is a fundamental task in data science that often arises in real-world applications. In the past decades several alternative formulations of the clustering problem have been proposed. These have led to a variety of algorithms, both exact and approximate, using a broad range of optimization techniques such as local search, core-sets, linear programming, etc. Studying the inherent hardness of clustering has led to deep theoretical results, combining insights from geometry and graph theory.

In this seminar/reading group we will study representative and recent results related to clustering, with a focus on algorithmic and complexity aspects. We present/discuss one or two papers each week.

Requirements: ALP3/HA or similar algorithmic background, mathematical maturity.

References

Spezialliteratur aus Zeitschriften

Additional appointments

Appointment series

T9/SR 005 Übungsraum

László Kozma

einmal, ab 22.10.2021, 14:00 - 16:00 (16 Termine)

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

Module: Mathematics Seminar (0084cB1.1)

Proseminar on Discrete Mathematics I

LV: 19202210

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2 SWS

Ralf Borndörfer

Niels Lindner

Proseminar

Submod: 0084cB1.1.1

Akt: 28.09.2021 18:59

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

Description

This proseminar extends the lectures on Discrete Mathematics I to additional topics of enumerative combinatorics and discrete structures.

It is intended for B.Sc. students.

References

The complete list of topics is available in the whiteboard.

Additional information

This seminar will be implemented as a block seminar.

Location and schedule:

first meeting (introduction and paper assignment): TBA in the first week of the teaching term, maybe online
second meeting (short talks): TBA in the middle of the term, probably at ZIB, one hour
final meeting (seminar talks): TBA on one or two days at the end of the semester

Background in Discrete Mathematics as provided by the lecture Discrete Mathematics I is mandatory, some topics can be handled on the basis of Mathematik entdecken I.

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

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

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

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

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

Additional appointments

Appointment series

A7/SR 140 Seminarraum (Hinterhaus)

Ralf Borndörfer

Niels Lindner

einmal, ab 22.10.2021, 14:00 - 16:00 (16 Termine)

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

Algorithms, Data Structures, and Data Abstraction

LV: 19300201

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4 SWS

Günther Rothe

Lecture

Submod: 0084bC6.2.1

Akt: 17.02.2022 14:00

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

Virtueller Raum 01

Online - zeitABhängig

Günther Rothe

24.02.2022 14:00 - 16:00

Nachklausur

Hs 1a Hörsaal

Günther Rothe

31.03.2022 14:00 - 16:00

Appointment series

T9/Gr. Hörsaal

Günther Rothe

einmal, ab 19.10.2021, 14:00 - 16:00 (16 Termine)

T9/Gr. Hörsaal

Günther Rothe

einmal, ab 21.10.2021, 14:00 - 16:00 (16 Termine)

Practice seminar for Algorithms, Data Structures, and Data Abstraction

LV: 19300202

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2 SWS

Günther Rothe

Practice seminar

Submod: 0084bC6.2.2

Akt: 30.09.2021 14:00

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

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

Tue, 08:00 - 10:00 (T9/051 Seminarraum)

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

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

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

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

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

Tue, 12:00 - 14:00 (T9/051 Seminarraum)

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

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

Additional appointments

Appointment series

T9/046 Seminarraum

Günther Rothe

einmal, ab 19.10.2021, 16:00 - 18:00 (16 Termine)

T9/051 Seminarraum

Günther Rothe

einmal, ab 19.10.2021, 10:00 - 12:00 (16 Termine)

T9/051 Seminarraum

Günther Rothe

einmal, ab 19.10.2021, 08:00 - 10:00 (16 Termine)

T9/053 Seminarraum

Günther Rothe

einmal, ab 19.10.2021, 12:00 - 14:00 (16 Termine)

T9/051 Seminarraum

Günther Rothe

einmal, ab 18.10.2021, 14:00 - 16:00 (16 Termine)

T9/SR 006 Seminarraum

Günther Rothe

einmal, ab 22.10.2021, 08:00 - 10:00 (16 Termine)

T9/049 Seminarraum

Günther Rothe

einmal, ab 19.10.2021, 16:00 - 18:00 (16 Termine)

T9/SR 006 Seminarraum

Günther Rothe

einmal, ab 25.10.2021, 10:00 - 12:00 (15 Termine)

T9/051 Seminarraum

Günther Rothe

einmal, ab 19.10.2021, 12:00 - 14:00 (16 Termine)

T9/053 Seminarraum

Günther Rothe

einmal, ab 19.10.2021, 10:00 - 12:00 (16 Termine)

T9/053 Seminarraum

Günther Rothe

einmal, ab 18.10.2021, 14:00 - 16:00 (16 Termine)

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

Algebra and Theory of Numbers

LV: 19200701

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4 SWS

Alexandru Constantinescu

Lecture

Submod: 0084bC1.6.1

Akt: 01.02.2022 16:11

Wed, 12:00 - 14:00 (Hs B (Raum B.004, 100 Pl.))

Description

Subject matter:
Selected topics from:

Additional appointments

Klausur 2 Algebra und Zahlentheorie

T9/Gr. Hörsaal

Alexandru Constantinescu

04.04.2022 10:00 - 13:00

Appointment series

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

Alexandru Constantinescu

einmal, ab 20.10.2021, 12:00 - 14:00 (18 Termine)

Practice seminar for Algebra and Theory of Numbers

LV: 19200702

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2 SWS

Alexandru Constantinescu

Practice seminar

Submod: 0084bC1.6.2

Akt: 28.09.2021 22:00

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

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

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

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Alexandru Constantinescu

einmal, ab 21.10.2021, 14:00 - 16:00 (15 Termine)

A6/SR 007/008 Seminarraum

Alexandru Constantinescu

einmal, ab 21.10.2021, 12:00 - 14:00 (15 Termine)

A6/SR 007/008 Seminarraum

Alexandru Constantinescu

einmal, ab 21.10.2021, 10:00 - 12:00 (15 Termine)

Module: Functional Analysis (0084cB2.2)

Functional Analysis

LV: 19201901

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4 SWS

Péter Koltai

Maximilian Engel

Lecture

Submod: 0084bC2.2.1

Akt: 16.12.2021 09:48

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

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

Description

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 information

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.

Additional appointments

Klausur

A3/Hs 001 Hörsaal

Péter Koltai

Maximilian Engel

23.02.2022 08:00 - 10:00

Nachklausur

A6/SR 031 Seminarraum

Péter Koltai

Maximilian Engel

13.04.2022 08:00 - 10:00

Appointment series

Virtueller Raum 29

Péter Koltai

Maximilian Engel

einmal, ab 20.10.2021, 08:00 - 10:00 (16 Termine)

Virtueller Raum 29

Péter Koltai

Maximilian Engel

einmal, ab 21.10.2021, 08:00 - 10:00 (16 Termine)

Tutorial: Functional Analysis

LV: 19201902

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2 SWS

Péter Koltai

Maximilian Engel

Practice seminar

Submod: 0084bC2.2.2

Akt: 18.10.2021 14:00

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

Description

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

Additional appointments

Appointment series

Virtueller Raum 21

Péter Koltai

Maximilian Engel

einmal, ab 21.10.2021, 14:00 - 16:00 (16 Termine)

Module: Discrete Mathematics I (0084cB3.2)

Discrete Geometrie I

LV: 19202001

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4 SWS

Christian Haase

Florian Frick

Lecture

Submod: 0084bC3.1.1

Akt: 24.10.2022 16:00

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

Wed, 10:00 - 12:00 (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
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,
Szemeredi--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

Diskrete Geometrie I

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

Christian Haase

Florian Frick

21.12.2021 10:00 - 18:00

Klausur Diskrete Geometrie I

T9/Gr. Hörsaal

Christian Haase

Florian Frick

22.02.2022 10:00 - 12:00

Nachklausur

T9/Gr. Hörsaal

Christian Haase

Florian Frick

29.03.2022 12:00 - 14:00

Appointment series

A6/SR 032 Seminarraum

Christian Haase

Florian Frick

einmal, ab 19.10.2021, 10:00 - 12:00 (16 Termine)

A6/SR 032 Seminarraum

Christian Haase

Florian Frick

einmal, ab 20.10.2021, 10:00 - 12:00 (16 Termine)

Practice seminar for Discrete Geometrie I

LV: 19202002

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2 SWS

Sophie Rehberg

Practice seminar

Submod: 0084bC3.1.2

Akt: 12.10.2021 10:47

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

Module: Numerical Mathematics II (0084cB3.4)

Basic Module: Numeric II

LV: 19202101

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4 SWS

Ralf Kornhuber

Lecture

Submod: 0084bC5.1.1

Akt: 28.09.2021 18:59

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

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

Description

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

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

For more information please see the lecture homepage

Additional appointments

Appointment series

A6/SR 025/026 Seminarraum

Ralf Kornhuber

einmal, ab 18.10.2021, 14:00 - 16:00 (16 Termine)

A6/SR 032 Seminarraum

Ralf Kornhuber

einmal, ab 18.10.2021, 10:00 - 12:00 (16 Termine)

Practice seminar for Basic Module: Numeric II

LV: 19202102

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2 SWS

Ralf Kornhuber

Lasse Hinrichsen-Bischoff

Practice seminar

Submod: 0084bC5.1.2

Akt: 28.09.2021 19:19

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

Module: Algebra I (0084cB3.3)

Basic Module: Algebra I

LV: 19202501

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4 SWS

Klaus Altmann

Lecture

Submod: 0084aC1.1.1

Akt: 03.11.2021 14:00

Wed, 16:00 - 20:00 (Hs A (Raum B.006, 200 Pl.))

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 appointments

Klausur

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

Klaus Altmann

16.02.2022 16:00 - 20:00

Nachklausur

T9/Gr. Hörsaal

Klaus Altmann

06.04.2022 12:00 - 14:00

Appointment series

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

Klaus Altmann

einmal, ab 20.10.2021, 16:00 - 20:00 (15 Termine)

Practice seminar for Basic Module: Algebra I

LV: 19202541

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2 SWS

Klaus Altmann

Practice seminar

Submod: 0084aC1.1.2

Akt: 22.10.2021 12:00

Mon, 12:00 - 14:00 (1.3.14 Hörsaal A)

Module: Differential Geometry I (0084cB3.5)

Differential Geometry I

LV: 19202601

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4 SWS

Konrad Polthier

Lecture

Submod: 0084cB3.5.1

Akt: 09.12.2021 10:28

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

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

Description

Topics of the lecture will be:

Curves and surfaces in Euclidean space
Metrics and (Riemannian) manifolds
Surface tension and notions of curvature
Vector fields, tensors, covariant derivative
Geodesic curves, exponential map
Gauß-Bonnet theorem, curvature and topology
Connection to discrete differential geometry

Prerequisits: Analysis I, II and Linear Algebra I, II

References

Literature

W. Kühnel: Differentialgeometrie:Kurven - Flächen - Mannigfaltigkeiten, Springer, 2012
M. P. do Carmo, Differential Geometry of Curves and Surfaces, Prentice Hall
J.-H. Eschenburg, J. Jost: Differentialgeometrie und Minimalflächen, Springer, 2014
C. Bär: Elementare Differentialgeometrie, de Gruyter, 2001

Additional information

For further information, see Lecture Homepage.

Additional appointments

Appointment series

Virtueller Raum 21

Konrad Polthier

einmal, ab 21.10.2021, 12:00 - 14:00 (16 Termine)

Virtueller Raum 21

Konrad Polthier

einmal, ab 19.10.2021, 12:00 - 14:00 (16 Termine)

Practice seminar for Differential Geometry I

LV: 19202602

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2 SWS

Konrad Polthier

Henriette-Sophie Lipschütz

Practice seminar

Submod: 0084cB3.5.2

Akt: 10.03.2022 12:00

Fri, 08:00 - 10:00 (Virtueller Raum 26)

Module: Seminar on Algorithms (0089bA2.8)

Seminar on Algorithms: Clustering

LV: 19306711

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2 SWS

László Kozma

Seminar

Submod: 0084bC6.5.1

Akt: 25.10.2021 12:00

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

Description

Requirements: ALP3/HA or similar algorithmic background, mathematical maturity.

References

Spezialliteratur aus Zeitschriften

Additional appointments

Appointment series

T9/SR 005 Übungsraum

László Kozma

einmal, ab 22.10.2021, 14:00 - 16:00 (16 Termine)

Module: Analysis I (0084cA1.1)

Analysis I

LV: 19202801

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4 SWS

Bernold Fiedler

Lecture

Submod: 0084aA1.1.1

Akt: 13.10.2021 16:00

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

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

Description

The trade is learned by solving the exercises and participating in the exercise groups.

Homepage:

References

Literature:

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

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

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

Scheerer, Hans: Brückenkurs, Skript FU Berlin 2006.

Additional appointments

Appointment series

Virtueller Raum 01

Bernold Fiedler

einmal, ab 21.10.2021, 10:00 - 12:00 (16 Termine)

Virtueller Raum 01

Bernold Fiedler

einmal, ab 19.10.2021, 10:00 - 12:00 (16 Termine)

Practice seminar for Analysis I

LV: 19202802

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2 SWS

Bernold Fiedler

Practice seminar

Submod: 0084aA1.1.2

Akt: 16.11.2021 12:00

Mon, 10:00 - 12:00 (0.1.01 Hörsaal B)

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

Mon, 10:00 - 12:00 (A7/SR 031)

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

Thu, 08:00 - 10:00 (Virtueller Raum 03)

Thu, 12:00 - 14:00 (Virtueller Raum 15)

Additional appointments

Appointment series

0.1.01 Hörsaal B

Bernold Fiedler

einmal, ab 01.11.2021, 10:00 - 12:00 (16 Termine)

A7/SR 031

Bernold Fiedler

einmal, ab 20.10.2021, 12:00 - 14:00 (16 Termine)

A7/SR 031

Bernold Fiedler

einmal, ab 18.10.2021, 10:00 - 12:00 (16 Termine)

Virtueller Raum 01

Bernold Fiedler

einmal, ab 21.10.2021, 16:00 - 18:00 (18 Termine)

Virtueller Raum 03

Bernold Fiedler

einmal, ab 28.10.2021, 08:00 - 10:00 (15 Termine)

Virtueller Raum 15

Bernold Fiedler

einmal, ab 21.10.2021, 12:00 - 14:00 (16 Termine)

Module: Lineare Algebra I (0084cA1.4)

Linear Algebra I

LV: 19201401

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4 SWS

Dirk Werner

Lecture

Submod: 0084aA2.1.1

Akt: 18.11.2021 18:00

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

Siegfried Bosch, Lineare Algebra, 4. Auflage, Springer-Verlag, 2008;
Gerd Fischer, Lernbuch Lineare Algebra und Analytische Geometrie, Springer-Verlag, 2017;
Dirk Werner, Lineare Algebra. Vorlesungsskript.

Zu den Grundlagen

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

Additional appointments

Lineare Algebra I

HFB/B Hörsaal

Dirk Werner

22.02.2022 10:00 - 12:00

Appointment series

A3/Hs 001 Hörsaal

Dirk Werner

einmal, ab 18.10.2021, 08:00 - 10:00 (16 Termine)

A3/Hs 001 Hörsaal

Dirk Werner

einmal, ab 20.10.2021, 08:00 - 10:00 (16 Termine)

Practice seminar for Linear Algebra I

LV: 19201402

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2 SWS

Dirk Werner

Practice seminar

Submod: 0084aA2.1.2

Akt: 22.02.2022 13:13

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

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

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

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

Additional appointments

Wiederholungsklausur zu Lineare Algebra I

T9/Gr. Hörsaal

Dirk Werner

25.04.2022 18:00 - 20:00

Appointment series

T9/049 Seminarraum

Dirk Werner

einmal, ab 20.10.2021, 12:00 - 14:00 (16 Termine)

A6/SR 007/008 Seminarraum

Dirk Werner

einmal, ab 18.10.2021, 14:00 - 16:00 (16 Termine)

A6/SR 007/008 Seminarraum

Dirk Werner

einmal, ab 18.10.2021, 10:00 - 12:00 (16 Termine)

A6/SR 025/026 Seminarraum

Dirk Werner

einmal, ab 20.10.2021, 14:00 - 16:00 (16 Termine)

Module: Computerorientierte Mathematik I (0084cA1.6)

Computerorientated Mathematics I (5 LP)

LV: 19200501

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2 SWS

Christof Schütte

Lecture

Submod: 0084aA3.1.1

Akt: 14.02.2022 15:43

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

Computerorientierte Mathematik I - Klausur (Nachteilsausgleich)

A6/SR 025/026 Seminarraum

Christof Schütte

21.02.2022 15:00 - 18:00

Computerorientierte Mathematik I (5 LP) - Nachklausur

Virtueller Raum 01

Christof Schütte

11.04.2022 10:00 - 12:00

Appointment series

T9/Gr. Hörsaal

Christof Schütte

einmal, ab 22.10.2021, 12:00 - 14:00 (16 Termine)

Practice seminar for Computerorientated Mathematics I (5 LP)

LV: 19200502

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2 SWS

Christof Schütte

Andreas Bittracher

Practice seminar

Submod: 0084aA3.1.2

Akt: 03.12.2021 16:00

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

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

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

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

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

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

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

Thu, 12:00 - 14:00 (KöLu24-26/SR 017 (vorrang Schülerlabor))

Additional appointments

Appointment series

A6/SR 025/026 Seminarraum

Christof Schütte

Andreas Bittracher

einmal, ab 18.10.2021, 16:00 - 18:00 (16 Termine)

A6/SR 025/026 Seminarraum

Christof Schütte

Andreas Bittracher

einmal, ab 20.10.2021, 12:00 - 14:00 (16 Termine)

A6/SR 025/026 Seminarraum

Christof Schütte

Andreas Bittracher

einmal, ab 22.10.2021, 14:00 - 16:00 (16 Termine)

T9/046 Seminarraum

Christof Schütte

Andreas Bittracher

einmal, ab 12.11.2021, 10:00 - 12:00 (15 Termine)

A3/019 Seminarraum

Christof Schütte

Andreas Bittracher

einmal, ab 18.10.2021, 14:00 - 16:00 (16 Termine)

A6/SR 025/026 Seminarraum

Christof Schütte

Andreas Bittracher

einmal, ab 18.10.2021, 12:00 - 14:00 (16 Termine)

A6/SR 025/026 Seminarraum

Christof Schütte

Andreas Bittracher

einmal, ab 22.10.2021, 16:00 - 18:00 (16 Termine)

KöLu24-26/SR 017 (vorrang Schülerlabor)

Christof Schütte

Andreas Bittracher

einmal, ab 21.10.2021, 12:00 - 14:00 (16 Termine)

Module: Stochastics I (0084cA1.8)

Stochastics I

LV: 19200601

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4 SWS

Nicolas Perkowski

Lecture

Submod: 0084bA4.2.1

Akt: 24.02.2022 16:00

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

Thu, 08:00 - 10:00 (T9/Gr. Hörsaal)

Mon, 08:00 - 10:00 ()

Description

Inhalt:

Prinzipien des Zählens; Elemente der Kombinatorik
Modelle vom Zufall abhängiger Vorgänge: Wahrscheinlichkeitsräume, Wahrscheinlichkeitsmaße
Bedingte Wahrscheinlichkeiten; Unabhängigkeit; Bayes'sche Regel
Zufallsvariablen und ihre Verteilungen; Kenngrössen der Verteilungen: Erwartungswert und Varianz
Diskrete Verteilungen: Laplace-Verteilung; Binomialverteilung; geometrische Verteilung
Approximation der Binomialverteilung durch die Normalverteilung;
Approximation der Binomialverteilung durch die Poissonverteilung
Verteilungen mit Dichten: Gleichverteilung; Normalverteilung; Exponentialverteilung
Gemeinsame Verteilungen von mehreren Zufallsvariablen: diskret und mit Dichten; Unabhängigkeit von Zufallsvariablen; bedingte Verteilungen; Summen unabhängiger Zufallsvariablen und ihre Verteilungen
Kenngrößen gemeinsamer Verteilungen: Erwartungswert, Kovarianz und Korrelation; bedingte Erwartung
Grenzwertsätze: schwaches Gesetz der großen Zahl und relative Häufigkeiten; der zentrale Grenzwertsatz
Elementare Begriffe und Techniken des Testens und Schätzens: Maximum-Likelihood-Prinzip; Konfidenzintervalle; Hypothesentests; Fehler erster und zweiter Art

Auf der Homepage und auf Whiteboard finden Sie nähere Informationen.

References

Literatur:

E. Behrends: Elementare Stochastik, Springer, 2013
H.-O. Georgii: Stochastik: Einführung in die Wahrscheinlichkeitstheorie und Statistik, De Gruyter, 2007
A. Klenke: Wahrscheinlichkeitstheorie, Springer, 2020
D. Meintrup, S. Schäffler, Stochastik: Theorie und Anwendungen, Springer, 2005

Über die Campusbibliothek der FU Berlin sind die meisten der oben aufgeführten Bücher auch elektronisch verfügbar.

Additional information

Zielgruppe:
Studierende ab dem 3. Semester Voraussetzungen: Grundkenntnisse aus Analysis und Linearer Algebra

Additional appointments

Klausur

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

Online - zeitABhängig

Nicolas Perkowski

03.03.2022 09:00 - 12:00

Nachklausur

T9/Gr. Hörsaal

Nicolas Perkowski

07.04.2022 09:00 - 12:00

Appointment series

A6/SR 031 Seminarraum

Nicolas Perkowski

einmal, ab 18.10.2021, 08:00 - 10:00 (16 Termine)

T9/Gr. Hörsaal

Nicolas Perkowski

einmal, ab 21.10.2021, 08:00 - 10:00 (16 Termine)

Nicolas Perkowski

einmal, ab 18.10.2021, 08:00 - 10:00 (16 Termine)

Tutorial: Stochastics I

LV: 19200602

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2 SWS

Nicolas Perkowski

Immanuel Zachhuber

Practice seminar

Submod: 0084bA4.2.2

Akt: 28.09.2021 19:16

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

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

Module: Analysis II (0084cA1.2)

Analysis II

LV: 19211601

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4 SWS

Holger Reich

Lecture

Submod: 0084cA1.2.1

Akt: 18.01.2022 12:45

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

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

Description

Content:

Basic topological notions.
Normed and metric spaces.
Continuity, compactness.
Differential calculus in several variables.
Curves and integrals over curves.
The implicit function theorem.

On the Homepage you will find detailed Information of our research seminar.

References

Literatur:

Bröcker, Theodor: Analysis I, Analysis II und Analysis III, Spektrum der Wissenschaft-Verlag.
Forster, Otto: Analysis 2, Vieweg-Verlag.

Über die Campusbibliothek der FU Berlin sind alle genannten Bücher auch elektronisch verfügbar.

Additional information

Prerequisites: None

Additional appointments

Klausur

Hs 1b Hörsaal

Holger Reich

15.02.2022 10:00 - 12:00

Nachklausur

A3/Hs 001 Hörsaal

Holger Reich

05.04.2022 10:00 - 12:00

Appointment series

A3/Hs 001 Hörsaal

Holger Reich

einmal, ab 19.10.2021, 10:00 - 12:00 (16 Termine)

A3/Hs 001 Hörsaal

Holger Reich

einmal, ab 21.10.2021, 10:00 - 12:00 (16 Termine)

Practice seminar for Analysis II

LV: 19211602

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2 SWS

Holger Reich

Practice seminar

Submod: 0084cA1.2.2

Akt: 25.10.2021 18:00

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

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

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

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

Additional appointments

Appointment series

A7/SR 031

Holger Reich

einmal, ab 18.10.2021, 12:00 - 14:00 (16 Termine)

T9/049 Seminarraum

Holger Reich

einmal, ab 21.10.2021, 08:00 - 10:00 (16 Termine)

A6/SR 025/026 Seminarraum

Holger Reich

einmal, ab 20.10.2021, 10:00 - 12:00 (16 Termine)

A6/SR 025/026 Seminarraum

Holger Reich

einmal, ab 18.10.2021, 10:00 - 12:00 (16 Termine)

Module: Lineare Algebra II (0084cA1.5)

Linear Algebra II

LV: 19211701

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4 SWS

Alexander Schmitt

Marwan Benyoussef

Lecture

Submod: 0084cA1.5.1

Akt: 15.03.2022 09:10

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

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

Description

Inhalt:

Dies ist der zweite Teil einer zweisemestrigen Vorlesungsreihe zur Linearen Algebra. Es wird ein wichtiges Klassifikationsresultat der linearen Algebra beschrieben, das in den letzten Jahren Anwendungen im Bereich Big Data erfahren hat. Diese Anwendungen werden ebenfalls erläutert. Die jordansche Normalform wird wiederholt und ihre Version über den reellen Zahlen vorgestellt. Die Theorie der Bilinear- und Sesquilinearformen sowie der euklidischen und unitären Vektorräume wird entwickelt.

Zu den Themen gehören:

Graphen und Köcher, das königsberger Brückenproblem
Köcherdarstellungen, unzerlegbare Darstellungen, der Satz von Krull-Schmidt
Lineare Köcher vom Typ A
Reflexionsfunktoren
Simplizialkomplexe und ihre Homologie, Rips-Komplexe und beständige Homologie
Anwendungen auf Big Data
der Hauptsatz der Algebra
die jordansche Normalform über den reellen Zahlen, Anwendungen auf Differenzialgleichungen
Bilinear- und Sesquilinearformen und ihre Darstellungsmatrizen
Normierte Vektorräume
Orthonormalbasen
Orthogonale und unitäre Endomorphismen
Selbstadjungierte Endomorphismen
Der Trägheitssatz von Sylvester
Positiv definite Matrizen
Ausblick: Hilberträume

Voraussetzungen:

Lineare Algebra I

References

T. Arens, F. Hettlich, Ch. Karpfinger, U. Kockelkorn, K. Lichtenegger, H. Stachel, Mathematik, 2. überarb. Aufl., Heidelberg, Spektrum Akademischer Verlag, 2012, xiv+1506 S. ISBN 978-3-642-40472-6/set.
R. Diestel, Graphentheorie, 5. überarb. und erw. Aufl., Berlin: Springer, 2017, xviii+355 S.
G. Fischer, Lineare Algebra, eine Einführung für Studienanfänger, 16. überarb. und erw. Aufl., Vieweg Studium: Grundkurs Mathematik, Wiesbaden, Friedr. Vieweg & Sohn, 2008, xxii+384 S. ISBN 978-3-6
W. Klingenberg, Lineare Algebra und Geometrie, 3. Aufl., Springer-Lehrbuch, Berlin, Springer-Verlag, 1992, xiii+293 S. ISBN 978-3-642-77646-5.
St. Y. Oudot, Persistence theory. From quiver representations to data analysis, Mathematical Surveys and Monographs 209, Providence, RI: American Mathematical Society (AMS), 2015, viii+218 S.
Skript

Additional information

Homepage Prof. Schmitt

Additional appointments

Klausur

A3/Hs 001 Hörsaal

Alexander Schmitt

Marwan Benyoussef

18.02.2022 08:00 - 10:00

Lineare Algebra II - Klausureinsicht

A3/Hs 001 Hörsaal

Alexander Schmitt

Marwan Benyoussef

22.03.2022 14:00 - 17:00

Lineare Algebra II - Nachklausur

A3/Hs 001 Hörsaal

Alexander Schmitt

Marwan Benyoussef

11.04.2022 10:00 - 12:00

Appointment series

A3/Hs 001 Hörsaal

Alexander Schmitt

Marwan Benyoussef

einmal, ab 22.10.2021, 08:00 - 10:00 (17 Termine)

A3/Hs 001 Hörsaal

Alexander Schmitt

Marwan Benyoussef

einmal, ab 27.10.2021, 12:00 - 14:00 (17 Termine)

Practice seminar for Linear Algebra II

LV: 19211702

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2 SWS

Alexander Schmitt

Practice seminar

Submod: 0084cA1.5.2

Akt: 19.10.2021 14:00

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

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

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

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Alexander Schmitt

einmal, ab 22.10.2021, 12:00 - 14:00 (15 Termine)

Virtueller Raum 01

Alexander Schmitt

einmal, ab 22.10.2021, 10:00 - 12:00 (16 Termine)

A6/SR 025/026 Seminarraum

Alexander Schmitt

einmal, ab 20.10.2021, 08:00 - 10:00 (16 Termine)

Module: Analysis III (0084cA1.3)

Analysis III

LV: 19201301

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4 SWS

Carsten Gräser

Lecture

Submod: 0084aA1.3.1

Akt: 25.03.2022 16:40

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

Thu, 10:00 - 12:00 (T9/046 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

A6/SR 031 Seminarraum

Carsten Gräser

29.03.2022 10:00 - 12:00

Appointment series

T9/046 Seminarraum

Carsten Gräser

einmal, ab 19.10.2021, 10:00 - 12:00 (16 Termine)

T9/046 Seminarraum

Carsten Gräser

einmal, ab 21.10.2021, 10:00 - 12:00 (16 Termine)

Practice seminar for Analysis III

LV: 19201302

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2 SWS

Carsten Gräser

Practice seminar

Submod: 0084aA1.3.2

Akt: 28.09.2021 19:18

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

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

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

Wed, 12:00 - 14:00 (T9/SR 006 Seminarraum)

Additional appointments

Appointment series

T9/046 Seminarraum

Carsten Gräser

einmal, ab 19.10.2021, 08:00 - 10:00 (16 Termine)

A3/019 Seminarraum

Carsten Gräser

einmal, ab 19.10.2021, 12:00 - 14:00 (16 Termine)

A6/SR 032 Seminarraum

Carsten Gräser

einmal, ab 19.10.2021, 12:00 - 14:00 (16 Termine)

T9/SR 006 Seminarraum

Carsten Gräser

einmal, ab 20.10.2021, 12:00 - 14:00 (16 Termine)

Mathematics (0084d_k120)

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

Proseminar on Discrete Mathematics I

LV: 19202210

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2 SWS

Ralf Borndörfer

Niels Lindner

Proseminar

Submod: 0084cB1.1.1

Akt: 28.09.2021 18:59

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

Description

This proseminar extends the lectures on Discrete Mathematics I to additional topics of enumerative combinatorics and discrete structures.

It is intended for B.Sc. students.

References

The complete list of topics is available in the whiteboard.

Additional information

This seminar will be implemented as a block seminar.

Location and schedule:

first meeting (introduction and paper assignment): TBA in the first week of the teaching term, maybe online
second meeting (short talks): TBA in the middle of the term, probably at ZIB, one hour
final meeting (seminar talks): TBA on one or two days at the end of the semester

Background in Discrete Mathematics as provided by the lecture Discrete Mathematics I is mandatory, some topics can be handled on the basis of Mathematik entdecken I.

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

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

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

Additional appointments

Appointment series

A7/SR 140 Seminarraum (Hinterhaus)

Ralf Borndörfer

Niels Lindner

einmal, ab 22.10.2021, 14:00 - 16:00 (16 Termine)

Seminar Multiscale Methods in Molecular Simulations

LV: 19226511

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2 SWS

Luigi Delle Site

Seminar

Submod: 0084dB1.1.1

Akt: 14.01.2022 14:00

Wed, 10:00 - 12:00 (KöLu24-26/SR 017 (vorrang Schülerlabor))

Description

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

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

References

Related Basic Literature:

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

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

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

Additional information

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

Additional appointments

Appointment series

KöLu24-26/SR 017 (vorrang Schülerlabor)

Luigi Delle Site

einmal, ab 20.10.2021, 10:00 - 12:00 (16 Termine)

Seminar: Advanced delay equations

LV: 19239711

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2 SWS

Bernold Fiedler

Isabelle Schneider

Seminar

Submod: 0084dB1.1.1

Akt: 13.10.2021 16:00

Thu, 16:00 - 18:00 (A7/SR 140 Seminarraum (Hinterhaus))

Seminar: Advanced Differential Equations

LV: 19239911

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2 SWS

Bernold Fiedler

Alejandro Lopez Nieto

Seminar

Submod: 0084dB1.1.1

Akt: 14.10.2021 16:00

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

Proseminar/Seminar: Selected topics in Topology I

LV: 19245317

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2 SWS

Holger Reich

Pavle Blagojevic

Seminar / Undergraduate Course

Submod: 0084dB1.1.1

Akt: 13.10.2021 18:00

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

Description

In the Pro seminar Topology I topics complementary to the course Topology I will be discussed. In particular, we will talk about:

— Nets: Moore-Smith convergence

— Locally compact spaces

— Paracompact spaces

— Countability axioms

— Baire’s category theorem

— Urysohn’s lemma

— Urysohn’s metrication theorem

— Tietze’s extension theorem

— Tychonov’s theorem for infinite products

— Compact open topology

— Compactly generates spaces

— Weak Haussdorf spaces

— Noetherian spaces

— Topological manifolds

— Partition of unity and imbedding of manifold

— Cantor set and Peano curves

— Topology of SO(3)

— Fiber bundles

— Simplicial sets

— Classification of compact surfaces

Additional information

In order to successful participate in this course it is recommended for the students to have some basic knowledge in Topology. Appropriate and complete literature for each of the topics will be provided.

Additional appointments

Appointment series

A6/SR 009 Seminarraum

Holger Reich

Pavle Blagojevic

einmal, ab 21.10.2021, 16:00 - 18:00 (16 Termine)

Module: Functional Analysis (0084dB2.2)

Functional Analysis

LV: 19201901

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4 SWS

Péter Koltai

Maximilian Engel

Lecture

Submod: 0084bC2.2.1

Akt: 16.12.2021 09:48

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

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

Description

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 information

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.

Additional appointments

Klausur

A3/Hs 001 Hörsaal

Péter Koltai

Maximilian Engel

23.02.2022 08:00 - 10:00

Nachklausur

A6/SR 031 Seminarraum

Péter Koltai

Maximilian Engel

13.04.2022 08:00 - 10:00

Appointment series

Virtueller Raum 29

Péter Koltai

Maximilian Engel

einmal, ab 20.10.2021, 08:00 - 10:00 (16 Termine)

Virtueller Raum 29

Péter Koltai

Maximilian Engel

einmal, ab 21.10.2021, 08:00 - 10:00 (16 Termine)

Tutorial: Functional Analysis

LV: 19201902

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2 SWS

Péter Koltai

Maximilian Engel

Practice seminar

Submod: 0084bC2.2.2

Akt: 18.10.2021 14:00

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

Description

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

Additional appointments

Appointment series

Virtueller Raum 21

Péter Koltai

Maximilian Engel

einmal, ab 21.10.2021, 14:00 - 16:00 (16 Termine)

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

Algebra and Theory of Numbers

LV: 19200701

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4 SWS

Alexandru Constantinescu

Lecture

Submod: 0084bC1.6.1

Akt: 01.02.2022 16:11

Wed, 12:00 - 14:00 (Hs B (Raum B.004, 100 Pl.))

Description

Subject matter:
Selected topics from:

Additional appointments

Klausur 2 Algebra und Zahlentheorie

T9/Gr. Hörsaal

Alexandru Constantinescu

04.04.2022 10:00 - 13:00

Appointment series

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

Alexandru Constantinescu

einmal, ab 20.10.2021, 12:00 - 14:00 (18 Termine)

Practice seminar for Algebra and Theory of Numbers

LV: 19200702

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2 SWS

Alexandru Constantinescu

Practice seminar

Submod: 0084bC1.6.2

Akt: 28.09.2021 22:00

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

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

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

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Alexandru Constantinescu

einmal, ab 21.10.2021, 14:00 - 16:00 (15 Termine)

A6/SR 007/008 Seminarraum

Alexandru Constantinescu

einmal, ab 21.10.2021, 12:00 - 14:00 (15 Termine)

A6/SR 007/008 Seminarraum

Alexandru Constantinescu

einmal, ab 21.10.2021, 10:00 - 12:00 (15 Termine)

Module: Mathematical Project (0084dB2.9)

(Re)building an agent-based model

LV: 19245212

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4 SWS

Sarah Wolf

Project Seminar

Submod: 0084dB2.9.1

Akt: 01.12.2021 11:13

Wed, 16:00 - 17:30 (A7/SR 140 Seminarraum (Hinterhaus))

Description

The Mobility Transition Model (MoTMo) is a large-scale, empirically grounded agent-based model that simulates private mobility demand in Germany for supporting discussions between researchers and stakeholders about sustainable mobility.

This project seminar shall go through the whole cycle of building an agent-based model, from data collection via specification, implementation, and calibration to visualization, along the lines of the existing MoTMo. Beyond model development, students shall have the possibility to experience and contribute to a so-called Decision Theatre: a dialogue format that allows participants to experiment with a model in the course of a discussion workshop.

References

Additional information

Additional appointments

(Re)building an agent-based model

A6/SR 009 Seminarraum

Sarah Wolf

01.12.2021 16:00 - 17:30

Appointment series

A7/SR 140 Seminarraum (Hinterhaus)

Sarah Wolf

einmal, ab 20.10.2021, 16:00 - 17:30 (16 Termine)

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

Übung zu: Mathematisches Panorama

LV: 19236102

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2 SWS

Marcus Weber

Anina Mischau

Practice seminar

Submod: 0084dB2.12.2

Akt: 01.11.2021 10:51

Thu, 14:00 - 16:00 (Virtueller Raum 02)

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

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

Additional appointments

Appointment series

Virtueller Raum 02

Marcus Weber

Anina Mischau

einmal, ab 21.10.2021, 14:00 - 16:00 (16 Termine)

T9/053 Seminarraum

Marcus Weber

Anina Mischau

einmal, ab 05.11.2021, 14:00 - 16:00 (16 Termine)

T9/055 Seminarraum

Marcus Weber

Anina Mischau

einmal, ab 05.11.2021, 10:00 - 12:00 (16 Termine)

Module: Algebra I (0084dB3.3)

Basic Module: Algebra I

LV: 19202501

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4 SWS

Klaus Altmann

Lecture

Submod: 0084aC1.1.1

Akt: 03.11.2021 14:00

Wed, 16:00 - 20:00 (Hs A (Raum B.006, 200 Pl.))

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 appointments

Klausur

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

Klaus Altmann

16.02.2022 16:00 - 20:00

Nachklausur

T9/Gr. Hörsaal

Klaus Altmann

06.04.2022 12:00 - 14:00

Appointment series

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

Klaus Altmann

einmal, ab 20.10.2021, 16:00 - 20:00 (15 Termine)

Practice seminar for Basic Module: Algebra I

LV: 19202541

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2 SWS

Klaus Altmann

Practice seminar

Submod: 0084aC1.1.2

Akt: 22.10.2021 12:00

Mon, 12:00 - 14:00 (1.3.14 Hörsaal A)

Module: Numerical Mathematics II (0084dB3.4)

Basic Module: Numeric II

LV: 19202101

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4 SWS

Ralf Kornhuber

Lecture

Submod: 0084bC5.1.1

Akt: 28.09.2021 18:59

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

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

Description

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

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

For more information please see the lecture homepage

Additional appointments

Appointment series

A6/SR 025/026 Seminarraum

Ralf Kornhuber

einmal, ab 18.10.2021, 14:00 - 16:00 (16 Termine)

A6/SR 032 Seminarraum

Ralf Kornhuber

einmal, ab 18.10.2021, 10:00 - 12:00 (16 Termine)

Practice seminar for Basic Module: Numeric II

LV: 19202102

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2 SWS

Ralf Kornhuber

Lasse Hinrichsen-Bischoff

Practice seminar

Submod: 0084bC5.1.2

Akt: 28.09.2021 19:19

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

Module: Differential Geometry I (0084dB3.5)

Differential Geometry I

LV: 19202601

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4 SWS

Konrad Polthier

Lecture

Submod: 0084cB3.5.1

Akt: 09.12.2021 10:28

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

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

Description

Topics of the lecture will be:

Curves and surfaces in Euclidean space
Metrics and (Riemannian) manifolds
Surface tension and notions of curvature
Vector fields, tensors, covariant derivative
Geodesic curves, exponential map
Gauß-Bonnet theorem, curvature and topology
Connection to discrete differential geometry

Prerequisits: Analysis I, II and Linear Algebra I, II

References

Literature

W. Kühnel: Differentialgeometrie:Kurven - Flächen - Mannigfaltigkeiten, Springer, 2012
M. P. do Carmo, Differential Geometry of Curves and Surfaces, Prentice Hall
J.-H. Eschenburg, J. Jost: Differentialgeometrie und Minimalflächen, Springer, 2014
C. Bär: Elementare Differentialgeometrie, de Gruyter, 2001

Additional information

For further information, see Lecture Homepage.

Additional appointments

Appointment series

Virtueller Raum 21

Konrad Polthier

einmal, ab 21.10.2021, 12:00 - 14:00 (16 Termine)

Virtueller Raum 21

Konrad Polthier

einmal, ab 19.10.2021, 12:00 - 14:00 (16 Termine)

Practice seminar for Differential Geometry I

LV: 19202602

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2 SWS

Konrad Polthier

Henriette-Sophie Lipschütz

Practice seminar

Submod: 0084cB3.5.2

Akt: 10.03.2022 12:00

Fri, 08:00 - 10:00 (Virtueller Raum 26)

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

Advanced Algorithms

LV: 19303501

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4 SWS

László Kozma

Lecture

Submod: 0084dB3.7.1

Akt: 01.02.2022 16:18

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

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

Description

This class focuses on the design and analysis of algorithms, with topics including:

general principles of algorithm design and analysis,
flow problems on graphs,
amortized analysis and advanced data structures,
theory of NP-completeness,
approximation methods for hard problems,
other topics.

Prerequisites are basic knowledge of algorithms and relevant mathematics. All Bachelor and Master students interested in advanced algorithmic techniques are welcome.

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

T9/SR 005 Übungsraum

László Kozma

22.02.2022 10:00 - 12:00

Nachklausur

T9/Gr. Hörsaal

László Kozma

30.03.2022 10:00 - 13:00

Appointment series

T9/SR 006 Seminarraum

László Kozma

einmal, ab 19.10.2021, 10:00 - 12:00 (16 Termine)

T9/SR 006 Seminarraum

László Kozma

einmal, ab 21.10.2021, 10:00 - 12:00 (16 Termine)

Practice seminar for Advanced Algorithms

LV: 19303502

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2 SWS

László Kozma

Practice seminar

Submod: 0084dB3.7.2

Akt: 28.09.2021 15:27

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

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

Module: Analysis I (0084dA1.1)

Analysis I

LV: 19202801

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4 SWS

Bernold Fiedler

Lecture

Submod: 0084aA1.1.1

Akt: 13.10.2021 16:00

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

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

Description

The trade is learned by solving the exercises and participating in the exercise groups.

Homepage:

References

Literature:

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

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

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

Scheerer, Hans: Brückenkurs, Skript FU Berlin 2006.

Additional appointments

Appointment series

Virtueller Raum 01

Bernold Fiedler

einmal, ab 21.10.2021, 10:00 - 12:00 (16 Termine)

Virtueller Raum 01

Bernold Fiedler

einmal, ab 19.10.2021, 10:00 - 12:00 (16 Termine)

Practice seminar for Analysis I

LV: 19202802

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2 SWS

Bernold Fiedler

Practice seminar

Submod: 0084aA1.1.2

Akt: 16.11.2021 12:00

Mon, 10:00 - 12:00 (0.1.01 Hörsaal B)

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

Mon, 10:00 - 12:00 (A7/SR 031)

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

Thu, 08:00 - 10:00 (Virtueller Raum 03)

Thu, 12:00 - 14:00 (Virtueller Raum 15)

Additional appointments

Appointment series

0.1.01 Hörsaal B

Bernold Fiedler

einmal, ab 01.11.2021, 10:00 - 12:00 (16 Termine)

A7/SR 031

Bernold Fiedler

einmal, ab 20.10.2021, 12:00 - 14:00 (16 Termine)

A7/SR 031

Bernold Fiedler

einmal, ab 18.10.2021, 10:00 - 12:00 (16 Termine)

Virtueller Raum 01

Bernold Fiedler

einmal, ab 21.10.2021, 16:00 - 18:00 (18 Termine)

Virtueller Raum 03

Bernold Fiedler

einmal, ab 28.10.2021, 08:00 - 10:00 (15 Termine)

Virtueller Raum 15

Bernold Fiedler

einmal, ab 21.10.2021, 12:00 - 14:00 (16 Termine)

Module: Analysis II (0084dA1.2)

Analysis II

LV: 19211601

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4 SWS

Holger Reich

Lecture

Submod: 0084cA1.2.1

Akt: 18.01.2022 12:45

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

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

Description

Content:

Basic topological notions.
Normed and metric spaces.
Continuity, compactness.
Differential calculus in several variables.
Curves and integrals over curves.
The implicit function theorem.

On the Homepage you will find detailed Information of our research seminar.

References

Literatur:

Bröcker, Theodor: Analysis I, Analysis II und Analysis III, Spektrum der Wissenschaft-Verlag.
Forster, Otto: Analysis 2, Vieweg-Verlag.

Über die Campusbibliothek der FU Berlin sind alle genannten Bücher auch elektronisch verfügbar.

Additional information

Prerequisites: None

Additional appointments

Klausur

Hs 1b Hörsaal

Holger Reich

15.02.2022 10:00 - 12:00

Nachklausur

A3/Hs 001 Hörsaal

Holger Reich

05.04.2022 10:00 - 12:00

Appointment series

A3/Hs 001 Hörsaal

Holger Reich

einmal, ab 19.10.2021, 10:00 - 12:00 (16 Termine)

A3/Hs 001 Hörsaal

Holger Reich

einmal, ab 21.10.2021, 10:00 - 12:00 (16 Termine)

Practice seminar for Analysis II

LV: 19211602

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2 SWS

Holger Reich

Practice seminar

Submod: 0084cA1.2.2

Akt: 25.10.2021 18:00

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

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

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

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

Additional appointments

Appointment series

A7/SR 031

Holger Reich

einmal, ab 18.10.2021, 12:00 - 14:00 (16 Termine)

T9/049 Seminarraum

Holger Reich

einmal, ab 21.10.2021, 08:00 - 10:00 (16 Termine)

A6/SR 025/026 Seminarraum

Holger Reich

einmal, ab 20.10.2021, 10:00 - 12:00 (16 Termine)

A6/SR 025/026 Seminarraum

Holger Reich

einmal, ab 18.10.2021, 10:00 - 12:00 (16 Termine)

Module: Analysis III (0084dA1.3)

Analysis III

LV: 19201301

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4 SWS

Carsten Gräser

Lecture

Submod: 0084aA1.3.1

Akt: 25.03.2022 16:40

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

Thu, 10:00 - 12:00 (T9/046 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

A6/SR 031 Seminarraum

Carsten Gräser

29.03.2022 10:00 - 12:00

Appointment series

T9/046 Seminarraum

Carsten Gräser

einmal, ab 19.10.2021, 10:00 - 12:00 (16 Termine)

T9/046 Seminarraum

Carsten Gräser

einmal, ab 21.10.2021, 10:00 - 12:00 (16 Termine)

Practice seminar for Analysis III

LV: 19201302

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2 SWS

Carsten Gräser

Practice seminar

Submod: 0084aA1.3.2

Akt: 28.09.2021 19:18

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

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

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

Wed, 12:00 - 14:00 (T9/SR 006 Seminarraum)

Additional appointments

Appointment series

T9/046 Seminarraum

Carsten Gräser

einmal, ab 19.10.2021, 08:00 - 10:00 (16 Termine)

A3/019 Seminarraum

Carsten Gräser

einmal, ab 19.10.2021, 12:00 - 14:00 (16 Termine)

A6/SR 032 Seminarraum

Carsten Gräser

einmal, ab 19.10.2021, 12:00 - 14:00 (16 Termine)

T9/SR 006 Seminarraum

Carsten Gräser

einmal, ab 20.10.2021, 12:00 - 14:00 (16 Termine)

Module: Linear Algebra I (0084dA1.4)

Linear Algebra I

LV: 19201401

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4 SWS

Dirk Werner

Lecture

Submod: 0084aA2.1.1

Akt: 18.11.2021 18:00

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

Siegfried Bosch, Lineare Algebra, 4. Auflage, Springer-Verlag, 2008;
Gerd Fischer, Lernbuch Lineare Algebra und Analytische Geometrie, Springer-Verlag, 2017;
Dirk Werner, Lineare Algebra. Vorlesungsskript.

Zu den Grundlagen

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

Additional appointments

Lineare Algebra I

HFB/B Hörsaal

Dirk Werner

22.02.2022 10:00 - 12:00

Appointment series

A3/Hs 001 Hörsaal

Dirk Werner

einmal, ab 18.10.2021, 08:00 - 10:00 (16 Termine)

A3/Hs 001 Hörsaal

Dirk Werner

einmal, ab 20.10.2021, 08:00 - 10:00 (16 Termine)

Practice seminar for Linear Algebra I

LV: 19201402

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2 SWS

Dirk Werner

Practice seminar

Submod: 0084aA2.1.2

Akt: 22.02.2022 13:13

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

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

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

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

Additional appointments

Wiederholungsklausur zu Lineare Algebra I

T9/Gr. Hörsaal

Dirk Werner

25.04.2022 18:00 - 20:00

Appointment series

T9/049 Seminarraum

Dirk Werner

einmal, ab 20.10.2021, 12:00 - 14:00 (16 Termine)

A6/SR 007/008 Seminarraum

Dirk Werner

einmal, ab 18.10.2021, 14:00 - 16:00 (16 Termine)

A6/SR 007/008 Seminarraum

Dirk Werner

einmal, ab 18.10.2021, 10:00 - 12:00 (16 Termine)

A6/SR 025/026 Seminarraum

Dirk Werner

einmal, ab 20.10.2021, 14:00 - 16:00 (16 Termine)

Module: Linear Algebra II (0084dA1.5)

Linear Algebra II

LV: 19211701

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4 SWS

Alexander Schmitt

Marwan Benyoussef

Lecture

Submod: 0084cA1.5.1

Akt: 15.03.2022 09:10

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

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

Description

Inhalt:

Graphen und Köcher, das königsberger Brückenproblem
Köcherdarstellungen, unzerlegbare Darstellungen, der Satz von Krull-Schmidt
Lineare Köcher vom Typ A
Reflexionsfunktoren
Simplizialkomplexe und ihre Homologie, Rips-Komplexe und beständige Homologie
Anwendungen auf Big Data
der Hauptsatz der Algebra
die jordansche Normalform über den reellen Zahlen, Anwendungen auf Differenzialgleichungen
Bilinear- und Sesquilinearformen und ihre Darstellungsmatrizen
Normierte Vektorräume
Orthonormalbasen
Orthogonale und unitäre Endomorphismen
Selbstadjungierte Endomorphismen
Der Trägheitssatz von Sylvester
Positiv definite Matrizen
Ausblick: Hilberträume

Voraussetzungen:

Lineare Algebra I

References

T. Arens, F. Hettlich, Ch. Karpfinger, U. Kockelkorn, K. Lichtenegger, H. Stachel, Mathematik, 2. überarb. Aufl., Heidelberg, Spektrum Akademischer Verlag, 2012, xiv+1506 S. ISBN 978-3-642-40472-6/set.
R. Diestel, Graphentheorie, 5. überarb. und erw. Aufl., Berlin: Springer, 2017, xviii+355 S.
G. Fischer, Lineare Algebra, eine Einführung für Studienanfänger, 16. überarb. und erw. Aufl., Vieweg Studium: Grundkurs Mathematik, Wiesbaden, Friedr. Vieweg & Sohn, 2008, xxii+384 S. ISBN 978-3-6
W. Klingenberg, Lineare Algebra und Geometrie, 3. Aufl., Springer-Lehrbuch, Berlin, Springer-Verlag, 1992, xiii+293 S. ISBN 978-3-642-77646-5.
St. Y. Oudot, Persistence theory. From quiver representations to data analysis, Mathematical Surveys and Monographs 209, Providence, RI: American Mathematical Society (AMS), 2015, viii+218 S.
Skript

Additional information

Homepage Prof. Schmitt

Additional appointments

Klausur

A3/Hs 001 Hörsaal

Alexander Schmitt

Marwan Benyoussef

18.02.2022 08:00 - 10:00

Lineare Algebra II - Klausureinsicht

A3/Hs 001 Hörsaal

Alexander Schmitt

Marwan Benyoussef

22.03.2022 14:00 - 17:00

Lineare Algebra II - Nachklausur

A3/Hs 001 Hörsaal

Alexander Schmitt

Marwan Benyoussef

11.04.2022 10:00 - 12:00

Appointment series

A3/Hs 001 Hörsaal

Alexander Schmitt

Marwan Benyoussef

einmal, ab 22.10.2021, 08:00 - 10:00 (17 Termine)

A3/Hs 001 Hörsaal

Alexander Schmitt

Marwan Benyoussef

einmal, ab 27.10.2021, 12:00 - 14:00 (17 Termine)

Practice seminar for Linear Algebra II

LV: 19211702

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2 SWS

Alexander Schmitt

Practice seminar

Submod: 0084cA1.5.2

Akt: 19.10.2021 14:00

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

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

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

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Alexander Schmitt

einmal, ab 22.10.2021, 12:00 - 14:00 (15 Termine)

Virtueller Raum 01

Alexander Schmitt

einmal, ab 22.10.2021, 10:00 - 12:00 (16 Termine)

A6/SR 025/026 Seminarraum

Alexander Schmitt

einmal, ab 20.10.2021, 08:00 - 10:00 (16 Termine)

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

Computerorientated Mathematics I (5 LP)

LV: 19200501

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2 SWS

Christof Schütte

Lecture

Submod: 0084aA3.1.1

Akt: 14.02.2022 15:43

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

Computerorientierte Mathematik I - Klausur (Nachteilsausgleich)

A6/SR 025/026 Seminarraum

Christof Schütte

21.02.2022 15:00 - 18:00

Computerorientierte Mathematik I (5 LP) - Nachklausur

Virtueller Raum 01

Christof Schütte

11.04.2022 10:00 - 12:00

Appointment series

T9/Gr. Hörsaal

Christof Schütte

einmal, ab 22.10.2021, 12:00 - 14:00 (16 Termine)

Practice seminar for Computerorientated Mathematics I (5 LP)

LV: 19200502

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2 SWS

Christof Schütte

Andreas Bittracher

Practice seminar

Submod: 0084aA3.1.2

Akt: 03.12.2021 16:00

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

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

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

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

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

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

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

Thu, 12:00 - 14:00 (KöLu24-26/SR 017 (vorrang Schülerlabor))

Additional appointments

Appointment series

A6/SR 025/026 Seminarraum

Christof Schütte

Andreas Bittracher

einmal, ab 18.10.2021, 16:00 - 18:00 (16 Termine)

A6/SR 025/026 Seminarraum

Christof Schütte

Andreas Bittracher

einmal, ab 20.10.2021, 12:00 - 14:00 (16 Termine)

A6/SR 025/026 Seminarraum

Christof Schütte

Andreas Bittracher

einmal, ab 22.10.2021, 14:00 - 16:00 (16 Termine)

T9/046 Seminarraum

Christof Schütte

Andreas Bittracher

einmal, ab 12.11.2021, 10:00 - 12:00 (15 Termine)

A3/019 Seminarraum

Christof Schütte

Andreas Bittracher

einmal, ab 18.10.2021, 14:00 - 16:00 (16 Termine)

A6/SR 025/026 Seminarraum

Christof Schütte

Andreas Bittracher

einmal, ab 18.10.2021, 12:00 - 14:00 (16 Termine)

A6/SR 025/026 Seminarraum

Christof Schütte

Andreas Bittracher

einmal, ab 22.10.2021, 16:00 - 18:00 (16 Termine)

KöLu24-26/SR 017 (vorrang Schülerlabor)

Christof Schütte

Andreas Bittracher

einmal, ab 21.10.2021, 12:00 - 14:00 (16 Termine)

Module: Stochastics I (0084dA1.8)

Stochastics I

LV: 19200601

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4 SWS

Nicolas Perkowski

Lecture

Submod: 0084bA4.2.1

Akt: 24.02.2022 16:00

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

Thu, 08:00 - 10:00 (T9/Gr. Hörsaal)

Mon, 08:00 - 10:00 ()

Description

Inhalt:

Prinzipien des Zählens; Elemente der Kombinatorik
Modelle vom Zufall abhängiger Vorgänge: Wahrscheinlichkeitsräume, Wahrscheinlichkeitsmaße
Bedingte Wahrscheinlichkeiten; Unabhängigkeit; Bayes'sche Regel
Zufallsvariablen und ihre Verteilungen; Kenngrössen der Verteilungen: Erwartungswert und Varianz
Diskrete Verteilungen: Laplace-Verteilung; Binomialverteilung; geometrische Verteilung
Approximation der Binomialverteilung durch die Normalverteilung;
Approximation der Binomialverteilung durch die Poissonverteilung
Verteilungen mit Dichten: Gleichverteilung; Normalverteilung; Exponentialverteilung
Gemeinsame Verteilungen von mehreren Zufallsvariablen: diskret und mit Dichten; Unabhängigkeit von Zufallsvariablen; bedingte Verteilungen; Summen unabhängiger Zufallsvariablen und ihre Verteilungen
Kenngrößen gemeinsamer Verteilungen: Erwartungswert, Kovarianz und Korrelation; bedingte Erwartung
Grenzwertsätze: schwaches Gesetz der großen Zahl und relative Häufigkeiten; der zentrale Grenzwertsatz
Elementare Begriffe und Techniken des Testens und Schätzens: Maximum-Likelihood-Prinzip; Konfidenzintervalle; Hypothesentests; Fehler erster und zweiter Art

Auf der Homepage und auf Whiteboard finden Sie nähere Informationen.

References

Literatur:

E. Behrends: Elementare Stochastik, Springer, 2013
H.-O. Georgii: Stochastik: Einführung in die Wahrscheinlichkeitstheorie und Statistik, De Gruyter, 2007
A. Klenke: Wahrscheinlichkeitstheorie, Springer, 2020
D. Meintrup, S. Schäffler, Stochastik: Theorie und Anwendungen, Springer, 2005

Über die Campusbibliothek der FU Berlin sind die meisten der oben aufgeführten Bücher auch elektronisch verfügbar.

Additional information

Zielgruppe:
Studierende ab dem 3. Semester Voraussetzungen: Grundkenntnisse aus Analysis und Linearer Algebra

Additional appointments

Klausur

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

Online - zeitABhängig

Nicolas Perkowski

03.03.2022 09:00 - 12:00

Nachklausur

T9/Gr. Hörsaal

Nicolas Perkowski

07.04.2022 09:00 - 12:00

Appointment series

A6/SR 031 Seminarraum

Nicolas Perkowski

einmal, ab 18.10.2021, 08:00 - 10:00 (16 Termine)

T9/Gr. Hörsaal

Nicolas Perkowski

einmal, ab 21.10.2021, 08:00 - 10:00 (16 Termine)

Nicolas Perkowski

einmal, ab 18.10.2021, 08:00 - 10:00 (16 Termine)

Tutorial: Stochastics I

LV: 19200602

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2 SWS

Nicolas Perkowski

Immanuel Zachhuber

Practice seminar

Submod: 0084bA4.2.2

Akt: 28.09.2021 19:16

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

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

Master's programme in Mathematics

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

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

Discrete Geometrie I

LV: 19202001

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4 SWS

Christian Haase

Florian Frick

Lecture

Submod: 0084bC3.1.1

Akt: 24.10.2022 16:00

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

Wed, 10:00 - 12:00 (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
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,
Szemeredi--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

Diskrete Geometrie I

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

Christian Haase

Florian Frick

21.12.2021 10:00 - 18:00

Klausur Diskrete Geometrie I

T9/Gr. Hörsaal

Christian Haase

Florian Frick

22.02.2022 10:00 - 12:00

Nachklausur

T9/Gr. Hörsaal

Christian Haase

Florian Frick

29.03.2022 12:00 - 14:00

Appointment series

A6/SR 032 Seminarraum

Christian Haase

Florian Frick

einmal, ab 19.10.2021, 10:00 - 12:00 (16 Termine)

A6/SR 032 Seminarraum

Christian Haase

Florian Frick

einmal, ab 20.10.2021, 10:00 - 12:00 (16 Termine)

Practice seminar for Discrete Geometrie I

LV: 19202002

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2 SWS

Sophie Rehberg

Practice seminar

Submod: 0084bC3.1.2

Akt: 12.10.2021 10:47

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

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

Discrete Mathematics Masterseminar

LV: 19206011

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2 SWS

Tibor Szabo

Seminar

Submod: 0280aA2.3.3

Akt: 13.01.2022 15:53

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

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

Description

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

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

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

Additional information

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

Additional appointments

Appointment series

A7/SR 140 Seminarraum (Hinterhaus)

Tibor Szabo

einmal, ab 20.10.2021, 12:00 - 14:00 (16 Termine)

A3/ 024 Seminarraum

Tibor Szabo

einmal, ab 12.01.2022, 12:00 - 14:00 (6 Termine)

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

Basic Module: Algebra I

LV: 19202501

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4 SWS

Klaus Altmann

Lecture

Submod: 0084aC1.1.1

Akt: 03.11.2021 14:00

Wed, 16:00 - 20:00 (Hs A (Raum B.006, 200 Pl.))

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 appointments

Klausur

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

Klaus Altmann

16.02.2022 16:00 - 20:00

Nachklausur

T9/Gr. Hörsaal

Klaus Altmann

06.04.2022 12:00 - 14:00

Appointment series

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

Klaus Altmann

einmal, ab 20.10.2021, 16:00 - 20:00 (15 Termine)

Practice seminar for Basic Module: Algebra I

LV: 19202541

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2 SWS

Klaus Altmann

Practice seminar

Submod: 0084aC1.1.2

Akt: 22.10.2021 12:00

Mon, 12:00 - 14:00 (1.3.14 Hörsaal A)

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

Basic Module: Numeric II

LV: 19202101

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4 SWS

Ralf Kornhuber

Lecture

Submod: 0084bC5.1.1

Akt: 28.09.2021 18:59

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

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

Description

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

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

For more information please see the lecture homepage

Additional appointments

Appointment series

A6/SR 025/026 Seminarraum

Ralf Kornhuber

einmal, ab 18.10.2021, 14:00 - 16:00 (16 Termine)

A6/SR 032 Seminarraum

Ralf Kornhuber

einmal, ab 18.10.2021, 10:00 - 12:00 (16 Termine)

Practice seminar for Basic Module: Numeric II

LV: 19202102

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2 SWS

Ralf Kornhuber

Lasse Hinrichsen-Bischoff

Practice seminar

Submod: 0084bC5.1.2

Akt: 28.09.2021 19:19

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

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

Mathematical Modelling in Climate Research

LV: 19215301

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2 SWS

No lecturers

Lecture

Submod: 0280aA4.3.1

Akt: 26.11.2021 14:00

Wed, 12:00 - 14:00 ()

Description

Content:

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

Fluctuations in daily weather are tightly connected to turbulence, and turbulence represents a challenge for the predictability of weather. No general solution for the equations of fluid motion is known, and specifically no general solutions to flow problems involving turbulence are available. Instead, scientists rely on conceptual models, complex computer simnulations, and advanced statistics and time series analysis to understand the essence of the daily weather and how it feeds back onto the climate.

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

The course will cover a selection from the following topics

1. Conservation laws and governing equations,

2. Numerical methods for geophysical flow simulations,

3. Dynamical systems and bifurcation theory,

4. Data-based characterization of atmospheric flows

References

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

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

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

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

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

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

Additional appointments

Appointment series

No lecturers

einmal, ab 27.10.2021, 12:00 - 14:00 (15 Termine)

Practice seminar for Mathematical Modelling in Climate Research

LV: 19215302

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2 SWS

Rupert Klein

Practice seminar

Submod: 0280aA4.3.2

Akt: 21.10.2021 16:00

Wed, 12:00 - 14:00 (1.1.53 Seminarraum E2)

Module: Specialization Module Topology II (0280aA6.2)

Basic Module: Topology II

LV: 19206201

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4 SWS

Pavle Blagojevic

Lecture

Submod: 0280aA6.2.1

Akt: 28.09.2021 19:01

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

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

Description

Content: Homology, cohomology and applications, CW-complexes, basic notions of homotopy theory

References

Literatur

Hatcher, Allen: Algebraic Topology; Cambridge University Press.
http://www.math.cornell.edu/~hatcher/AT/ATpage.html
Lück, Wolfgang: Algebraische Topologie, Homologie und Mannigfaltigkeiten; Vieweg.

Additional appointments

Appointment series

A6/SR 031 Seminarraum

Pavle Blagojevic

einmal, ab 20.10.2021, 08:00 - 10:00 (16 Termine)

A6/SR 031 Seminarraum

Pavle Blagojevic

einmal, ab 19.10.2021, 08:00 - 10:00 (16 Termine)

Ex.: Basic Module: Topology II

LV: 19206202

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2 SWS

Pavle Blagojevic

Practice seminar

Submod: 0280aA6.2.2

Akt: 28.09.2021 19:23

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

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

Module: Basismodul Differentialgeometrie I (0280bA1.1)

Differential Geometry I

LV: 19202601

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4 SWS

Konrad Polthier

Lecture

Submod: 0084cB3.5.1

Akt: 09.12.2021 10:28

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

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

Description

Topics of the lecture will be:

Curves and surfaces in Euclidean space
Metrics and (Riemannian) manifolds
Surface tension and notions of curvature
Vector fields, tensors, covariant derivative
Geodesic curves, exponential map
Gauß-Bonnet theorem, curvature and topology
Connection to discrete differential geometry

Prerequisits: Analysis I, II and Linear Algebra I, II

References

Literature

W. Kühnel: Differentialgeometrie:Kurven - Flächen - Mannigfaltigkeiten, Springer, 2012
M. P. do Carmo, Differential Geometry of Curves and Surfaces, Prentice Hall
J.-H. Eschenburg, J. Jost: Differentialgeometrie und Minimalflächen, Springer, 2014
C. Bär: Elementare Differentialgeometrie, de Gruyter, 2001

Additional information

For further information, see Lecture Homepage.

Additional appointments

Appointment series

Virtueller Raum 21

Konrad Polthier

einmal, ab 21.10.2021, 12:00 - 14:00 (16 Termine)

Virtueller Raum 21

Konrad Polthier

einmal, ab 19.10.2021, 12:00 - 14:00 (16 Termine)

Practice seminar for Differential Geometry I

LV: 19202602

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2 SWS

Konrad Polthier

Henriette-Sophie Lipschütz

Practice seminar

Submod: 0084cB3.5.2

Akt: 10.03.2022 12:00

Fri, 08:00 - 10:00 (Virtueller Raum 26)

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

Basic Module: Algebra I

LV: 19202501

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4 SWS

Klaus Altmann

Lecture

Submod: 0084aC1.1.1

Akt: 03.11.2021 14:00

Wed, 16:00 - 20:00 (Hs A (Raum B.006, 200 Pl.))

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 appointments

Klausur

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

Klaus Altmann

16.02.2022 16:00 - 20:00

Nachklausur

T9/Gr. Hörsaal

Klaus Altmann

06.04.2022 12:00 - 14:00

Appointment series

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

Klaus Altmann

einmal, ab 20.10.2021, 16:00 - 20:00 (15 Termine)

Practice seminar for Basic Module: Algebra I

LV: 19202541

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2 SWS

Klaus Altmann

Practice seminar

Submod: 0084aC1.1.2

Akt: 22.10.2021 12:00

Mon, 12:00 - 14:00 (1.3.14 Hörsaal A)

Module: Aufbaumodul Algebra III (0280bA2.3)

Advanced Module: Algebra III

LV: 19222301

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2 SWS

Alexander Schmitt

Lecture

Submod: 0280bA2.3.1

Akt: 09.12.2021 10:30

Tue, 12:00 - 14:00 (Virtueller Raum 22)

Description

Dies ist der dritte Teil einer dreisemestrigen Vorlesungsreihe zur Algebraischen Geometrie. Er behandelt die Sprache der Schemata, grundlegende Resultate zur Kohomologie von Garben auf Schemata und den Beginn der Theorie der linearen algebraischen Gruppen bzw. affinen Gruppenschemata.

Zu den Themen gehören:

Cech-Kohomologie
Schemata
die Kohomologie affiner Schemata
projektive Räume, Geradenbündel auf projektiven Räumen und ihre Kohomologie
Gruppenschemata, algebraische Gruppen

References

A. Borel: Linear algebraic groups, 2. erw. Aufl., Graduate Texts in Mathematics 126, New York etc.: Springer-Verlag, 1991, x+288 S.
R. Hartshorne: Algebraic geometry, Graduate Texts in Mathematics 52, New York-Heidelberg-Berlin: Springer-Verlag, 1983, xvi+496 S.
Online Ansicht (über FU)
W.C. Waterhouse: Introduction to affine group schemes, Graduate Texts in Mathematics 66, New York, Heidelberg, Berlin: Springer-Verlag, 1979, xi+164 S.

Additional information

Die Vorlesung wird live über das Internet in Form von Webex-Meetings gehalten; Di, 12-14Uhr.

http://userpage.fu-berlin.de/~aschmitt/AlgIII21.html

Additional appointments

Appointment series

Virtueller Raum 22

Alexander Schmitt

einmal, ab 19.10.2021, 12:00 - 14:00 (17 Termine)

Practice seminar for Advanced Module: Algebra III

LV: 19222302

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2 SWS

Marwan Benyoussef

Practice seminar

Submod: 0280bA2.3.2

Akt: 07.10.2021 18:48

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

Module: Forschungsmodul Algebra (0280bA2.4)

Reseach Module: Algebra

LV: 19214611

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2 SWS

Alexander Schmitt

Seminar

Submod: 0280bA2.4.1

Akt: 28.09.2021 19:06

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

Description

Literatur

Wird bekanntgegeben.

Additional information

Target group:

Math students

Prerequisites

Algebra I and II

Homepage: Prof. Altmann

Additional appointments

Appointment series

Virtueller Raum 29

Alexander Schmitt

einmal, ab 20.10.2021, 10:00 - 12:00 (16 Termine)

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

Extremal Combinatorics

LV: 19208601

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4 SWS

Tibor Szabo

Lecture

Submod: 0280bA3.2.1

Akt: 26.01.2022 12:37

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

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

References

The material is selected from several textbooks:

N. Alon and J. Spencer, The Probabilistic Method

L. Babai and P. Frankl, Linear Algebra Methods in Combinatorics

R. Diestel, Graph Theory

S. Jukna, Extremal Combinatorics

J. Matoušek, Using the Borsuk-Ulam Theorem

J. van Lint and R. Wilson, A Course in Combinatorics

D. West, Introduction to Graph Theory

Additional appointments

Extremal Combinatorics

A3/SR 119

Tibor Szabo

25.01.2022 16:00 - 18:00

Klausur

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

Tibor Szabo

01.03.2022 10:00 - 13:30

Nachklausur

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

Tibor Szabo

05.04.2022 10:00 - 13:30

Appointment series

A6/SR 025/026 Seminarraum

Tibor Szabo

einmal, ab 19.10.2021, 14:00 - 16:00 (16 Termine)

A6/SR 025/026 Seminarraum

Tibor Szabo

einmal, ab 21.10.2021, 10:00 - 12:00 (16 Termine)

Tutorial Extremal Combinatorics

LV: 19208602

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2 SWS

Tibor Szabo

Michael Anastos

Practice seminar

Submod: 0280bA3.2.2

Akt: 28.09.2021 19:24

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

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

Discrete Mathematics II - Optimization

LV: 19234401

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4 SWS

Ralf Borndörfer

Lecture

Submod: 0280bA3.2.1

Akt: 23.02.2022 09:01

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

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

Description

This lecture starts the optimization branch of discrete mathematics. It deals with algorithmic graph theory and linear optimization.

Content

Complexity: Complexity measures, runtime of algorithms, the classes P and NP, NP-completeness
Matroids and independence systems: independence systems, matroids, trees, forests, oracles, optimization via independence systems
Shortest paths: non-negative weights, general weights, all pairs
Network flows: max-flow-min-cut theorem, augmenting paths, minimum cost flows, transportation and assignment problems
Polyhedra: faces, dimensional formula, projections of polyhedra, transformation, polarity, representation
Basics of linear optimization: Farkas lemma, duality theorem
Simplex algorithm: basis, degeneration, basis exchange, revised simplex algorithm, bounds, dual simplex algorithm, post-optimization, numerics
Inner Points and Ellipsoid Method: foundations

Target group

The lecture is for mathematics students with knowledge of discrete mathematics, linear algebra, and analysis. Some exercises require the use of a computer.

References

M. Grötschel, Lineare Optimierung, eines der Vorlesungsskripte

V. Chvátal, Linear Programming, Freeman 1983

Additional information

Credits

This course can be chosen as Discrete Mathematics II (DM II).

If you are taking Discrete Mathematics II - Extremal Combinatorics at the same time, you can choose one of the two courses as DM II and the other as a supplementary module (Ergänzungsmodul).

Language

This lecture is in English.

Additional appointments

Klausur

0.3.12 Großer Hörsaal

Ralf Borndörfer

24.02.2022 09:30 - 12:30

Diskrete Mathematik II - Optimierung: Klausureinsicht

A6/SR 031 Seminarraum

Ralf Borndörfer

01.03.2022 10:00 - 11:00

Appointment series

A6/SR 007/008 Seminarraum

Ralf Borndörfer

einmal, ab 20.10.2021, 12:00 - 14:00 (16 Termine)

A6/SR 007/008 Seminarraum

Ralf Borndörfer

einmal, ab 19.10.2021, 12:00 - 14:00 (16 Termine)

Practice seminar for Discrete Mathematics II - Optimization

LV: 19234402

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2 SWS

Ralf Borndörfer

Practice seminar

Submod: 0280bA3.2.2

Akt: 18.10.2021 14:00

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

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

Discrete Geometrie I

LV: 19202001

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4 SWS

Christian Haase

Florian Frick

Lecture

Submod: 0084bC3.1.1

Akt: 24.10.2022 16:00

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

Wed, 10:00 - 12:00 (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
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,
Szemeredi--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

Diskrete Geometrie I

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

Christian Haase

Florian Frick

21.12.2021 10:00 - 18:00

Klausur Diskrete Geometrie I

T9/Gr. Hörsaal

Christian Haase

Florian Frick

22.02.2022 10:00 - 12:00

Nachklausur

T9/Gr. Hörsaal

Christian Haase

Florian Frick

29.03.2022 12:00 - 14:00

Appointment series

A6/SR 032 Seminarraum

Christian Haase

Florian Frick

einmal, ab 19.10.2021, 10:00 - 12:00 (16 Termine)

A6/SR 032 Seminarraum

Christian Haase

Florian Frick

einmal, ab 20.10.2021, 10:00 - 12:00 (16 Termine)

Practice seminar for Discrete Geometrie I

LV: 19202002

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2 SWS

Sophie Rehberg

Practice seminar

Submod: 0084bC3.1.2

Akt: 12.10.2021 10:47

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

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

Advanced Module: Discrete Geometry III

LV: 19205901

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2 SWS

Florian Frick

Lecture

Submod: 0280bA3.6.1

Akt: 29.10.2021 18:00

Thu, 10:00 - 12:00 (KöLu24-26/SR 017 (vorrang Schülerlabor))

Description

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

Intersection combinatorics of convex sets, such as theorems of Radon, Helly, Tverberg and their variants, convex neural codes
Geometry of point sets, such as triangulations of point sets, Rips complexes and the 'shape' of data
Combinatorial and topological properties of simplicial complexes, such as random complexes, triangulations of manifolds

References

Will be announced in class.

Additional information

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

Additional appointments

Appointment series

KöLu24-26/SR 017 (vorrang Schülerlabor)

Florian Frick

einmal, ab 04.11.2021, 10:00 - 12:00 (22 Termine)

Practice seminar for Advanced Module: Discrete Geometry III

LV: 19205902

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2 SWS

Florian Frick

Practice seminar

Submod: 0280bA3.6.2

Akt: 01.11.2021 15:57

Fri, 10:00 - 12:00 (KöLu24-26/SR 016 (vorrang Schülerlabor))

Fri, 10:00 - 12:00 (KöLu24-26/SR 017 (vorrang Schülerlabor))

Module: Forschungsmodul Diskrete Mathematik (0280bA3.7)

Discrete Mathematics Masterseminar

LV: 19206011

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2 SWS

Tibor Szabo

Seminar

Submod: 0280aA2.3.3

Akt: 13.01.2022 15:53

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

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

Description

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

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

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

Additional information

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

Additional appointments

Appointment series

A7/SR 140 Seminarraum (Hinterhaus)

Tibor Szabo

einmal, ab 20.10.2021, 12:00 - 14:00 (16 Termine)

A3/ 024 Seminarraum

Tibor Szabo

einmal, ab 12.01.2022, 12:00 - 14:00 (6 Termine)

Module: Basismodul Topologie II (0280bA4.2)

Basic Module: Topology II

LV: 19206201

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4 SWS

Pavle Blagojevic

Lecture

Submod: 0280aA6.2.1

Akt: 28.09.2021 19:01

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

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

Description

Content: Homology, cohomology and applications, CW-complexes, basic notions of homotopy theory

References

Literatur

Hatcher, Allen: Algebraic Topology; Cambridge University Press.
http://www.math.cornell.edu/~hatcher/AT/ATpage.html
Lück, Wolfgang: Algebraische Topologie, Homologie und Mannigfaltigkeiten; Vieweg.

Additional appointments

Appointment series

A6/SR 031 Seminarraum

Pavle Blagojevic

einmal, ab 20.10.2021, 08:00 - 10:00 (16 Termine)

A6/SR 031 Seminarraum

Pavle Blagojevic

einmal, ab 19.10.2021, 08:00 - 10:00 (16 Termine)

Ex.: Basic Module: Topology II

LV: 19206202

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2 SWS

Pavle Blagojevic

Practice seminar

Submod: 0280aA6.2.2

Akt: 28.09.2021 19:23

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

Module: Research Module Topology (0280bA4.5)

Research Module: Topology

LV: 19223811

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2 SWS

Elmar Vogt

Gabriel James Angelini-Knoll

Seminar

Submod: 0280bA4.5.1

Akt: 28.09.2021 19:09

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

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

Basic Module: Numeric II

LV: 19202101

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4 SWS

Ralf Kornhuber

Lecture

Submod: 0084bC5.1.1

Akt: 28.09.2021 18:59

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

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

Description

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

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

For more information please see the lecture homepage

Additional appointments

Appointment series

A6/SR 025/026 Seminarraum

Ralf Kornhuber

einmal, ab 18.10.2021, 14:00 - 16:00 (16 Termine)

A6/SR 032 Seminarraum

Ralf Kornhuber

einmal, ab 18.10.2021, 10:00 - 12:00 (16 Termine)

Practice seminar for Basic Module: Numeric II

LV: 19202102

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2 SWS

Ralf Kornhuber

Lasse Hinrichsen-Bischoff

Practice seminar

Submod: 0084bC5.1.2

Akt: 28.09.2021 19:19

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

Module: Aufbaumodul Numerik IV (0280bA5.3)

Advanced Module: Numerics IV

LV: 19206401

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2 SWS

Volker John

Lecture

Submod: 0280bA5.3.1

Akt: 28.09.2021 19:01

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

Description

Computational Fluid Dynamics:
Computational Fluid Dynamics (CFD) comprises the numerical simulation of flows and physical processes that are connected with flows. The corresponding partial differential equations are of importance in many applications.

This course will concentrate on two types of equations: equations that model conservation laws (energy, mass) and equations that model the behavior of incompressible flows (incompressible Navier-Stokes equations).

The simulation of both types of equations needs often special numerical methods. Important methods will be introduced, their convergence will be studied, and the conservation of physical properties will be discussed. The main focus will be on finite element methods.

Prerequisites: Numerics III.

Audience: This course is a continuation of Numerical Mathematics III. It is intended for students who are interested in numerical methods and their analysis. It might be a preparation for writing a master thesis on numerical methods for partial differential equations.

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

References

H.-G. Roos, M. Stynes, L Tobiska: Robust numerical methods for singularly perturbed differential equations, Springer 2008
V. John: Finite element methods for incompressible flow problems, Springer 2016

Additional appointments

Appointment series

A7/SR 140 Seminarraum (Hinterhaus)

Volker John

einmal, ab 18.10.2021, 10:00 - 12:00 (16 Termine)

Practice seminar for Advanced Module: Numerics IV

LV: 19206402

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2 SWS

Volker John

Practice seminar

Submod: 0280bA5.3.2

Akt: 28.09.2021 19:23

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

Mathematical Modelling in Climate Research

LV: 19215301

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2 SWS

No lecturers

Lecture

Submod: 0280aA4.3.1

Akt: 26.11.2021 14:00

Wed, 12:00 - 14:00 ()

Description

Content:

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

The course will cover a selection from the following topics

1. Conservation laws and governing equations,

2. Numerical methods for geophysical flow simulations,

3. Dynamical systems and bifurcation theory,

4. Data-based characterization of atmospheric flows

References

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

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

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

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

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

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

Additional appointments

Appointment series

No lecturers

einmal, ab 27.10.2021, 12:00 - 14:00 (15 Termine)

Practice seminar for Mathematical Modelling in Climate Research

LV: 19215302

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2 SWS

Rupert Klein

Practice seminar

Submod: 0280aA4.3.2

Akt: 21.10.2021 16:00

Wed, 12:00 - 14:00 (1.1.53 Seminarraum E2)

Module: Basismodul Differentialgleichungen II (0280bA6.2)

Partial Differential Equations II

LV: 19242001

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4 SWS

Klaus Ecker

Lecture

Submod: 0280bA6.2.1

Akt: 03.03.2022 16:00

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

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

Description

L^p - norms

Sobolevspaces (Evans, Ch. 5.1 - 5.8)

Theory of weak solutions of linear elliptic equations of second order (Evans, Ch. 6):
- Existence of weak solutions (Evans 6.1 und 6.2)
- Regularity of weak solutions (Evans 6.3)
- Maximum Principles (Evans 6.4)
- Eigenvalues and eigenfunctions (Evans 6.5)

Separation of variables with applications to initial value problems for the heat - and the wave equation

The above topics use fundamentals from linear functional analysis (Evans, Appendix D and Fourier series theorem). Some of the results from functional analysis will be proved in lectures. No prerequisites are required for this except for Analysis 1 - 3 and Linear Algebra 1 and 2.

More information: Website

References

L.C. Evans, Partial Differential Equations

Additional information

Prerequisites): Partielle Differentialgleichungen I, Analysis 1- 3, Linear Algebra 1 und 2

Additional appointments

Klausur

1.3.14 Hörsaal A

Klaus Ecker

07.04.2022 12:00 - 14:00

Appointment series

Virtueller Raum 24

Klaus Ecker

einmal, ab 20.10.2021, 12:00 - 14:00 (16 Termine)

Virtueller Raum 24

Klaus Ecker

einmal, ab 19.10.2021, 12:00 - 14:00 (16 Termine)

Tutorial Partial Differential Equations II

LV: 19242002

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2 SWS

Klaus Ecker

Ahmad Al-Afuni

Practice seminar

Submod: 0280bA6.2.2

Akt: 28.09.2021 19:30

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

Module: Ergänzungsmodul Ausgewählte Themen (0280bA7.1)

Basic Module: Algebra I

LV: 19202501

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4 SWS

Klaus Altmann

Lecture

Submod: 0084aC1.1.1

Akt: 03.11.2021 14:00

Wed, 16:00 - 20:00 (Hs A (Raum B.006, 200 Pl.))

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 appointments

Klausur

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

Klaus Altmann

16.02.2022 16:00 - 20:00

Nachklausur

T9/Gr. Hörsaal

Klaus Altmann

06.04.2022 12:00 - 14:00

Appointment series

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

Klaus Altmann

einmal, ab 20.10.2021, 16:00 - 20:00 (15 Termine)

Practice seminar for Basic Module: Algebra I

LV: 19202541

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2 SWS

Klaus Altmann

Practice seminar

Submod: 0084aC1.1.2

Akt: 22.10.2021 12:00

Mon, 12:00 - 14:00 (1.3.14 Hörsaal A)

Probability Theory III

LV: 19208001

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4 SWS

Felix Höfling

Lecture

Submod: 0280bA7.1.1

Akt: 02.03.2022 10:11

Thu, 14:00 - 17:00 (A6/SR 032 Seminarraum)

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

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

Description

Stochastic analysis is the study of stochastic processes that evolve in continuous time. We will treat the following subjects, among others:

Gaussian processes; Brownian motion, construction and properties; filtrations and stopping times; continuous time martingales; continuous semimartingales; quadratic variation; stochastic integration; Itô’s formula; Girsanov’s theorem and change of measure; time change; martingale representation; stochastic differential equations and diffusion processes, connections with partial differential equations.

The course is organised via Blackboard: https://lms.fu-berlin.de

Additional appointments

Prüfung

A6/SR 009 Seminarraum

Felix Höfling

08.04.2022 10:00 - 11:00

Appointment series

A6/SR 032 Seminarraum

Felix Höfling

einmal, ab 03.03.2022, 14:00 - 17:00 (2 Termine)

A6/SR 032 Seminarraum

Felix Höfling

einmal, ab 20.10.2021, 12:00 - 14:00 (16 Termine)

A6/SR 032 Seminarraum

Felix Höfling

einmal, ab 21.10.2021, 14:00 - 16:00 (16 Termine)

Tutorial: Probability Theory III

LV: 19208002

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2 SWS

Felix Höfling

Practice seminar

Submod: 0280bA7.1.2

Akt: 28.09.2021 19:24

Fri, 10:00 - 12:00 (A7/SR 031)

Extremal Combinatorics

LV: 19208601

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4 SWS

Tibor Szabo

Lecture

Submod: 0280bA3.2.1

Akt: 26.01.2022 12:37

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

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

References

The material is selected from several textbooks:

N. Alon and J. Spencer, The Probabilistic Method

L. Babai and P. Frankl, Linear Algebra Methods in Combinatorics

R. Diestel, Graph Theory

S. Jukna, Extremal Combinatorics

J. Matoušek, Using the Borsuk-Ulam Theorem

J. van Lint and R. Wilson, A Course in Combinatorics

D. West, Introduction to Graph Theory

Additional appointments

Extremal Combinatorics

A3/SR 119

Tibor Szabo

25.01.2022 16:00 - 18:00

Klausur

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

Tibor Szabo

01.03.2022 10:00 - 13:30

Nachklausur

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

Tibor Szabo

05.04.2022 10:00 - 13:30

Appointment series

A6/SR 025/026 Seminarraum

Tibor Szabo

einmal, ab 19.10.2021, 14:00 - 16:00 (16 Termine)

A6/SR 025/026 Seminarraum

Tibor Szabo

einmal, ab 21.10.2021, 10:00 - 12:00 (16 Termine)

Tutorial Extremal Combinatorics

LV: 19208602

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2 SWS

Tibor Szabo

Michael Anastos

Practice seminar

Submod: 0280bA3.2.2

Akt: 28.09.2021 19:24

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

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

Soft Matter: Mathematical Aspects, Physical Modeling and Computer Simulation

LV: 19225101

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4 SWS

Luigi Delle Site

Lecture

Submod: 0280bA7.1.1

Akt: 28.09.2021 19:10

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

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

Description

Program

Polymer Physics: Structure and Dynamics

(a) Theoretical/analytic approaches
(b) Physical and chemical Modeling
(c) Simulation

Biological Membranes

(a) Theoretical/analytic approaches
(b) Physical and chemical Modeling
(c) Simulation

Introduction to Colloids and Liquid Crystals

Theory and Simulation

Introduction to Hydrodynamic scale for large Biological Systems:

Examples are e.g. Cellular processes, Red Blood Cells in Capillary Flow, etc. (Theory and Simulation)

References

Basic Literature:

Introduction to Polymer Physics by M. Doi
Soft Matter Physics by M. Doi
Biomembrane Frontiers: Nanostructures, Models, and the Design of Life (Handbook of Modern Biophysics) by von Thomas Jue, Subhash H. Risbud, Marjorie L. Longo, Roland Faller (Editors)

Additional information

Audience: Master students of Mathematics and Physics interested in mathematical theory and computational modeling of Soft Matter Systems.

Requirements: Basic Knowledge of statistical physics and of dynamics, computer programming

Additional appointments

Appointment series

A7/SR 140 Seminarraum (Hinterhaus)

Luigi Delle Site

einmal, ab 20.10.2021, 08:00 - 10:00 (16 Termine)

A7/SR 140 Seminarraum (Hinterhaus)

Luigi Delle Site

einmal, ab 18.10.2021, 08:00 - 10:00 (16 Termine)

Practice seminar for Soft Matter: Mathematical Aspects, Physical Modeling and Computer Simulation

LV: 19225102

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2 SWS

Luigi Delle Site

Practice seminar

Submod: 0280bA7.1.2

Akt: 28.09.2021 19:28

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

Discrete Mathematics II - Optimization

LV: 19234401

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4 SWS

Ralf Borndörfer

Lecture

Submod: 0280bA3.2.1

Akt: 23.02.2022 09:01

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

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

Description

This lecture starts the optimization branch of discrete mathematics. It deals with algorithmic graph theory and linear optimization.

Content

Complexity: Complexity measures, runtime of algorithms, the classes P and NP, NP-completeness
Matroids and independence systems: independence systems, matroids, trees, forests, oracles, optimization via independence systems
Shortest paths: non-negative weights, general weights, all pairs
Network flows: max-flow-min-cut theorem, augmenting paths, minimum cost flows, transportation and assignment problems
Polyhedra: faces, dimensional formula, projections of polyhedra, transformation, polarity, representation
Basics of linear optimization: Farkas lemma, duality theorem
Simplex algorithm: basis, degeneration, basis exchange, revised simplex algorithm, bounds, dual simplex algorithm, post-optimization, numerics
Inner Points and Ellipsoid Method: foundations

Target group

The lecture is for mathematics students with knowledge of discrete mathematics, linear algebra, and analysis. Some exercises require the use of a computer.

References

M. Grötschel, Lineare Optimierung, eines der Vorlesungsskripte

V. Chvátal, Linear Programming, Freeman 1983

Additional information

Credits

This course can be chosen as Discrete Mathematics II (DM II).

If you are taking Discrete Mathematics II - Extremal Combinatorics at the same time, you can choose one of the two courses as DM II and the other as a supplementary module (Ergänzungsmodul).

Language

This lecture is in English.

Additional appointments

Klausur

0.3.12 Großer Hörsaal

Ralf Borndörfer

24.02.2022 09:30 - 12:30

Diskrete Mathematik II - Optimierung: Klausureinsicht

A6/SR 031 Seminarraum

Ralf Borndörfer

01.03.2022 10:00 - 11:00

Appointment series

A6/SR 007/008 Seminarraum

Ralf Borndörfer

einmal, ab 20.10.2021, 12:00 - 14:00 (16 Termine)

A6/SR 007/008 Seminarraum

Ralf Borndörfer

einmal, ab 19.10.2021, 12:00 - 14:00 (16 Termine)

Practice seminar for Discrete Mathematics II - Optimization

LV: 19234402

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2 SWS

Ralf Borndörfer

Practice seminar

Submod: 0280bA3.2.2

Akt: 18.10.2021 14:00

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

Cryptography and Security in Distributed Systems

LV: 19303601

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4 SWS

Volker Roth

Lecture

Submod: 0084bC3.6.1

Akt: 15.03.2022 09:11

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

Thu, 12:00 - 14:00 (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

Kryptographie und Sicherheit in Verteilten Systemen

T9/Gr. Hörsaal

Volker Roth

22.04.2022 16:00 - 18:00

Appointment series

T9/053 Seminarraum

Volker Roth

einmal, ab 19.10.2021, 16:00 - 18:00 (16 Termine)

T9/053 Seminarraum

Volker Roth

einmal, ab 21.10.2021, 12:00 - 14:00 (16 Termine)

Practice seminar for Cryptography and Security in Distributed Systems

LV: 19303602

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2 SWS

Volker Roth

Oliver Wiese

Practice seminar

Submod: 0084bC3.6.2

Akt: 28.09.2021 15:27

Wed, 10:00 - 12:00 (A7/SR 031)