Evento

Bachelor's programme in Mathematics

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

Module: Analysis I (0084aA1.1)

Analysis I

LV: 19202801

a.SAP verarbeitet

4 SWS

Marita Thomas

Lecture

Submod: 0084aA1.1.1

Akt: 19.12.2022 13:18

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

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

Description

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

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

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

References

Literature:

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

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

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

Scheerer, Hans: Brückenkurs, Skript FU Berlin 2006.

Additional appointments

Klausur

Gr. Hörsaal (Raum B.001)

Marita Thomas

02.03.2023 10:00 - 12:30

Analysis I Nachklausur

T9/Gr. Hörsaal

Marita Thomas

29.03.2023 10:00 - 12:30

Appointment series

A3/Hs 001 Hörsaal

Marita Thomas

einmal, ab 18.10.2022, 10:00 - 12:00 (16 Termine)

A3/Hs 001 Hörsaal

Marita Thomas

einmal, ab 20.10.2022, 10:00 - 12:00 (16 Termine)

Practice seminar for Analysis I

LV: 19202802

a.SAP verarbeitet

2 SWS

Sven Tornquist

Marita Thomas

Practice seminar

Submod: 0084aA1.1.2

Akt: 07.10.2022 16:00

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

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

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

Thu, 16:00 - 18:00 (A3/SR 115)

Additional appointments

Appointment series

A7/SR 140 Seminarraum (Hinterhaus)

Sven Tornquist

Marita Thomas

einmal, ab 19.10.2022, 12:00 - 14:00 (16 Termine)

A7/SR 140 Seminarraum (Hinterhaus)

Sven Tornquist

Marita Thomas

einmal, ab 19.10.2022, 14:00 - 16:00 (16 Termine)

A6/SR 009 Seminarraum

Sven Tornquist

Marita Thomas

einmal, ab 19.10.2022, 14:00 - 16:00 (16 Termine)

A3/SR 115

Sven Tornquist

Marita Thomas

einmal, ab 20.10.2022, 16:00 - 18:00 (16 Termine)

Module: Analysis III (0084aA1.3)

Analysis III

LV: 19201301

a.SAP verarbeitet

4 SWS

Dirk Werner

Lecture

Submod: 0084aA1.3.1

Akt: 08.02.2023 14:00

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

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

Description

The lecture Analysis III is the final lecture of the cycle Analysis I-III.

^{Differentiation and integration in Rn},
extremes with and without constraints,
integration on surfaces,
the integrals of Gauss and Stokes and much more are discussed.

These basics are indispensable for a successful study of mathematics.

References

Literatur

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

und für geschichtlich Interessierte:

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

Additional appointments

Klausur

A6/SR 031 Seminarraum

T9/Gr. Hörsaal

Dirk Werner

21.02.2023 10:00 - 12:00

Nachklausur

A6/SR 031 Seminarraum

Dirk Werner

18.04.2023 18:00 - 20:00

Appointment series

A6/SR 031 Seminarraum

Dirk Werner

einmal, ab 18.10.2022, 10:00 - 12:00 (16 Termine)

A6/SR 031 Seminarraum

Dirk Werner

einmal, ab 20.10.2022, 10:00 - 12:00 (16 Termine)

Practice seminar for Analysis III

LV: 19201302

a.SAP verarbeitet

2 SWS

Dirk Werner

Practice seminar

Submod: 0084aA1.3.2

Akt: 21.09.2022 09:34

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

Module: Linear Algebra I (0084aA2.1)

Linear Algebra I

LV: 19201401

a.SAP verarbeitet

4 SWS

Karin Schaller

Lecture

Submod: 0084aA2.1.1

Akt: 06.04.2023 14:52

Mon, 16:00 - 18:00 (A3/SR 120)

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

Mon, 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;
Bartel Leendert van der Waerden, Algebra Volume I, 9th Edition, Springer 1993;

Zu den Grundlagen

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

Additional appointments

Lineare Algebra I

T9/SR 006 Seminarraum

Karin Schaller

08.02.2023 14:00 - 16:00

Lineare Algebra I

HFB/B Hörsaal

Karin Schaller

15.02.2023 08:00 - 11:00

Lineare Algebra I

A3/SR 120

Karin Schaller

21.02.2023 10:00 - 16:00

Lineare Algebra I

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

Karin Schaller

05.04.2023 10:00 - 13:00

Lineare Algebra I (WS22/23) - Nachklausureinsicht

A3/SR 120

Karin Schaller

27.04.2023 12:00 - 13:30

Appointment series

A3/SR 120

Karin Schaller

einmal, ab 31.10.2022, 16:00 - 18:00 (15 Termine)

A3/Hs 001 Hörsaal

Karin Schaller

einmal, ab 19.10.2022, 08:00 - 10:00 (16 Termine)

A3/Hs 001 Hörsaal

Karin Schaller

einmal, ab 17.10.2022, 08:00 - 10:00 (16 Termine)

Practice seminar for Linear Algebra I

LV: 19201402

a.SAP verarbeitet

2 SWS

Karin Schaller

Practice seminar

Submod: 0084aA2.1.2

Akt: 07.11.2022 13:48

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

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

Mon, 12:00 - 14:00 (A3/SR 120)

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

Additional appointments

Übung zu Lineare Algebra I

A6/SR 025/026 Seminarraum

Karin Schaller

14.11.2022 08:00 - 10:00

Appointment series

A3/019 Seminarraum

Karin Schaller

einmal, ab 21.10.2022, 14:00 - 16:00 (16 Termine)

A6/SR 025/026 Seminarraum

Karin Schaller

einmal, ab 17.10.2022, 12:00 - 14:00 (16 Termine)

A3/SR 120

Karin Schaller

einmal, ab 17.10.2022, 12:00 - 14:00 (16 Termine)

A3/019 Seminarraum

Karin Schaller

einmal, ab 17.10.2022, 10:00 - 12:00 (16 Termine)

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

Computerorientated Mathematics I (5 LP)

LV: 19200501

a.SAP verarbeitet

2 SWS

Christof Schütte

Andreas Bittracher

Lecture

Submod: 0084aA3.1.1

Akt: 15.03.2023 16:44

Fri, 12:00 - 14:00 (T9/Gr. Hörsaal)

Description

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

Homepage: All current information on lectures and lectures

References

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

Additional appointments

Klausur

Hs 2 Hörsaal

Christof Schütte

Andreas Bittracher

24.02.2023 12:00 - 14:00

Klausureinsicht Computerorientierte Mathematik I (5 LP)

T9/049 Seminarraum

Christof Schütte

Andreas Bittracher

06.03.2023 10:00 - 12:00

Nachklausur

T9/Gr. Hörsaal

Christof Schütte

Andreas Bittracher

27.03.2023 10:00 - 12:00

Appointment series

T9/Gr. Hörsaal

Christof Schütte

Andreas Bittracher

einmal, ab 21.10.2022, 12:00 - 14:00 (16 Termine)

Practice seminar for Computerorientated Mathematics I (5 LP)

LV: 19200502

a.SAP verarbeitet

2 SWS

Christof Schütte

Practice seminar

Submod: 0084aA3.1.2

Akt: 07.10.2022 12:00

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

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

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

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

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

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

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

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

Additional appointments

Appointment series

A6/SR 025/026 Seminarraum

Christof Schütte

einmal, ab 19.10.2022, 12:00 - 14:00 (16 Termine)

A3/019 Seminarraum

Christof Schütte

einmal, ab 17.10.2022, 12:00 - 14:00 (16 Termine)

A3/SR 119

Christof Schütte

einmal, ab 20.10.2022, 08:00 - 10:00 (16 Termine)

A3/ 024 Seminarraum

Christof Schütte

einmal, ab 19.10.2022, 12:00 - 14:00 (16 Termine)

A3/019 Seminarraum

Christof Schütte

einmal, ab 19.10.2022, 10:00 - 12:00 (16 Termine)

A3/SR 119

Christof Schütte

einmal, ab 19.10.2022, 14:00 - 16:00 (16 Termine)

T9/055 Seminarraum

Christof Schütte

einmal, ab 20.10.2022, 08:00 - 10:00 (16 Termine)

T9/051 Seminarraum

Christof Schütte

einmal, ab 18.10.2022, 08:00 - 10:00 (16 Termine)

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

Basic Module: Algebra I

LV: 19202501

a.SAP verarbeitet

4 SWS

Klaus Altmann

Lecture

Submod: 0084aC1.1.1

Akt: 28.02.2023 09:51

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.

Additional appointments

Klausur

T9/Gr. Hörsaal

Klaus Altmann

20.02.2023 12:00 - 14:00

Klausureinsicht Basismodul: Algebra I

A6/SR 032 Seminarraum

Klaus Altmann

02.03.2023 11:00 - 13:00

Nachklausur

T9/Gr. Hörsaal

Klaus Altmann

03.04.2023 12:00 - 14:00

Appointment series

Practice seminar for Basic Module: Algebra I

LV: 19202502

a.SAP verarbeitet

2 SWS

Christian Haase

Practice seminar

Submod: 0084aC1.1.2

Akt: 18.10.2022 14:00

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

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

Marita Thomas

Lecture

Submod: 0084aA1.1.1

Akt: 19.12.2022 13:18

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

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

Description

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

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

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

References

Literature:

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

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

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

Scheerer, Hans: Brückenkurs, Skript FU Berlin 2006.

Additional appointments

Klausur

Gr. Hörsaal (Raum B.001)

Marita Thomas

02.03.2023 10:00 - 12:30

Analysis I Nachklausur

T9/Gr. Hörsaal

Marita Thomas

29.03.2023 10:00 - 12:30

Appointment series

A3/Hs 001 Hörsaal

Marita Thomas

einmal, ab 18.10.2022, 10:00 - 12:00 (16 Termine)

A3/Hs 001 Hörsaal

Marita Thomas

einmal, ab 20.10.2022, 10:00 - 12:00 (16 Termine)

Practice seminar for Analysis I

LV: 19202802

a.SAP verarbeitet

2 SWS

Sven Tornquist

Marita Thomas

Practice seminar

Submod: 0084aA1.1.2

Akt: 07.10.2022 16:00

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

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

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

Thu, 16:00 - 18:00 (A3/SR 115)

Additional appointments

Appointment series

A7/SR 140 Seminarraum (Hinterhaus)

Sven Tornquist

Marita Thomas

einmal, ab 19.10.2022, 12:00 - 14:00 (16 Termine)

A7/SR 140 Seminarraum (Hinterhaus)

Sven Tornquist

Marita Thomas

einmal, ab 19.10.2022, 14:00 - 16:00 (16 Termine)

A6/SR 009 Seminarraum

Sven Tornquist

Marita Thomas

einmal, ab 19.10.2022, 14:00 - 16:00 (16 Termine)

A3/SR 115

Sven Tornquist

Marita Thomas

einmal, ab 20.10.2022, 16:00 - 18:00 (16 Termine)

Module: Analysis III (0084aA1.3)

Analysis III

LV: 19201301

a.SAP verarbeitet

4 SWS

Dirk Werner

Lecture

Submod: 0084aA1.3.1

Akt: 08.02.2023 14:00

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

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

Description

The lecture Analysis III is the final lecture of the cycle Analysis I-III.

^{Differentiation and integration in Rn},
extremes with and without constraints,
integration on surfaces,
the integrals of Gauss and Stokes and much more are discussed.

These basics are indispensable for a successful study of mathematics.

References

Literatur

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

und für geschichtlich Interessierte:

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

Additional appointments

Klausur

A6/SR 031 Seminarraum

T9/Gr. Hörsaal

Dirk Werner

21.02.2023 10:00 - 12:00

Nachklausur

A6/SR 031 Seminarraum

Dirk Werner

18.04.2023 18:00 - 20:00

Appointment series

A6/SR 031 Seminarraum

Dirk Werner

einmal, ab 18.10.2022, 10:00 - 12:00 (16 Termine)

A6/SR 031 Seminarraum

Dirk Werner

einmal, ab 20.10.2022, 10:00 - 12:00 (16 Termine)

Practice seminar for Analysis III

LV: 19201302

a.SAP verarbeitet

2 SWS

Dirk Werner

Practice seminar

Submod: 0084aA1.3.2

Akt: 21.09.2022 09:34

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

Module: Linear Algebra I (0084aA2.1)

Linear Algebra I

LV: 19201401

a.SAP verarbeitet

4 SWS

Karin Schaller

Lecture

Submod: 0084aA2.1.1

Akt: 06.04.2023 14:52

Mon, 16:00 - 18:00 (A3/SR 120)

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

Mon, 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;
Bartel Leendert van der Waerden, Algebra Volume I, 9th Edition, Springer 1993;

Zu den Grundlagen

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

Additional appointments

Lineare Algebra I

T9/SR 006 Seminarraum

Karin Schaller

08.02.2023 14:00 - 16:00

Lineare Algebra I

HFB/B Hörsaal

Karin Schaller

15.02.2023 08:00 - 11:00

Lineare Algebra I

A3/SR 120

Karin Schaller

21.02.2023 10:00 - 16:00

Lineare Algebra I

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

Karin Schaller

05.04.2023 10:00 - 13:00

Lineare Algebra I (WS22/23) - Nachklausureinsicht

A3/SR 120

Karin Schaller

27.04.2023 12:00 - 13:30

Appointment series

A3/SR 120

Karin Schaller

einmal, ab 31.10.2022, 16:00 - 18:00 (15 Termine)

A3/Hs 001 Hörsaal

Karin Schaller

einmal, ab 19.10.2022, 08:00 - 10:00 (16 Termine)

A3/Hs 001 Hörsaal

Karin Schaller

einmal, ab 17.10.2022, 08:00 - 10:00 (16 Termine)

Practice seminar for Linear Algebra I

LV: 19201402

a.SAP verarbeitet

2 SWS

Karin Schaller

Practice seminar

Submod: 0084aA2.1.2

Akt: 07.11.2022 13:48

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

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

Mon, 12:00 - 14:00 (A3/SR 120)

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

Additional appointments

Übung zu Lineare Algebra I

A6/SR 025/026 Seminarraum

Karin Schaller

14.11.2022 08:00 - 10:00

Appointment series

A3/019 Seminarraum

Karin Schaller

einmal, ab 21.10.2022, 14:00 - 16:00 (16 Termine)

A6/SR 025/026 Seminarraum

Karin Schaller

einmal, ab 17.10.2022, 12:00 - 14:00 (16 Termine)

A3/SR 120

Karin Schaller

einmal, ab 17.10.2022, 12:00 - 14:00 (16 Termine)

A3/019 Seminarraum

Karin Schaller

einmal, ab 17.10.2022, 10:00 - 12:00 (16 Termine)

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

Computerorientated Mathematics I (5 LP)

LV: 19200501

a.SAP verarbeitet

2 SWS

Christof Schütte

Andreas Bittracher

Lecture

Submod: 0084aA3.1.1

Akt: 15.03.2023 16:44

Fri, 12:00 - 14:00 (T9/Gr. Hörsaal)

Description

Homepage: All current information on lectures and lectures

References

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

Additional appointments

Klausur

Hs 2 Hörsaal

Christof Schütte

Andreas Bittracher

24.02.2023 12:00 - 14:00

Klausureinsicht Computerorientierte Mathematik I (5 LP)

T9/049 Seminarraum

Christof Schütte

Andreas Bittracher

06.03.2023 10:00 - 12:00

Nachklausur

T9/Gr. Hörsaal

Christof Schütte

Andreas Bittracher

27.03.2023 10:00 - 12:00

Appointment series

T9/Gr. Hörsaal

Christof Schütte

Andreas Bittracher

einmal, ab 21.10.2022, 12:00 - 14:00 (16 Termine)

Practice seminar for Computerorientated Mathematics I (5 LP)

LV: 19200502

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2 SWS

Christof Schütte

Practice seminar

Submod: 0084aA3.1.2

Akt: 07.10.2022 12:00

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

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

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

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

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

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

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

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

Additional appointments

Appointment series

A6/SR 025/026 Seminarraum

Christof Schütte

einmal, ab 19.10.2022, 12:00 - 14:00 (16 Termine)

A3/019 Seminarraum

Christof Schütte

einmal, ab 17.10.2022, 12:00 - 14:00 (16 Termine)

A3/SR 119

Christof Schütte

einmal, ab 20.10.2022, 08:00 - 10:00 (16 Termine)

A3/ 024 Seminarraum

Christof Schütte

einmal, ab 19.10.2022, 12:00 - 14:00 (16 Termine)

A3/019 Seminarraum

Christof Schütte

einmal, ab 19.10.2022, 10:00 - 12:00 (16 Termine)

A3/SR 119

Christof Schütte

einmal, ab 19.10.2022, 14:00 - 16:00 (16 Termine)

T9/055 Seminarraum

Christof Schütte

einmal, ab 20.10.2022, 08:00 - 10:00 (16 Termine)

T9/051 Seminarraum

Christof Schütte

einmal, ab 18.10.2022, 08:00 - 10:00 (16 Termine)

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

Stochastics I

LV: 19200601

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4 SWS

Immanuel Zachhuber

Nicolas Perkowski

Lecture

Submod: 0084bA4.2.1

Akt: 23.01.2023 10:39

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

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

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
Datenanalyse und deskriptive Statistik: Histogramme; empirische Verteilung; Kenngrößen von Stichprobenverteilungen; Beispiele irreführender deskriptiver Statistiken; lineare Regression
Elementare Begriffe und Techniken des Testens und Schätzens: Maximum-Likelihood-Prinzip; Konfidenzintervalle; Hypothesentests; Fehler erster und zweiter Art

References

Literatur:

E. Behrends: Elementare Stochastik, Springer, 2013
H.-O. Georgii: Stochastik: Einführung in die Wahrscheinlichkeitstheorie und Statistik, De Gruyter, 2007
U. Krengel: Einführung in die Wahrscheinlichkeitstheorie und Statistik, Vieweg, 2005
D. Meintrup, S. Schäffler, Stochastik: Theorie und Anwendungen, Springer, 2005.
Die meisten der oben aufgeführten Bücher gibt es online über die UB.

Additional information

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

Additional appointments

Klausur

A6/SR 032 Seminarraum

Immanuel Zachhuber

Nicolas Perkowski

13.02.2023 14:00 - 16:00

Nachklausur

A6/SR 031 Seminarraum

Immanuel Zachhuber

Nicolas Perkowski

12.04.2023 10:00 - 12:00

Appointment series

A6/SR 031 Seminarraum

Immanuel Zachhuber

Nicolas Perkowski

einmal, ab 19.10.2022, 08:00 - 10:00 (16 Termine)

A6/SR 032 Seminarraum

Immanuel Zachhuber

Nicolas Perkowski

einmal, ab 17.10.2022, 14:00 - 16:00 (16 Termine)

Tutorial: Stochastics I

LV: 19200602

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2 SWS

Nicolas Perkowski

Lukas Gräfner

Immanuel Zachhuber

Practice seminar

Submod: 0084bA4.2.2

Akt: 26.10.2022 14:00

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

Wed, 10:00 - 12:00 (Virtueller Raum 02)

Wed, 12:00 - 14:00 (A3/SR 120)

Additional appointments

Appointment series

A7/SR 140 Seminarraum (Hinterhaus)

Nicolas Perkowski

Lukas Gräfner

Immanuel Zachhuber

einmal, ab 17.10.2022, 12:00 - 14:00 (16 Termine)

Virtueller Raum 02

Nicolas Perkowski

Lukas Gräfner

Immanuel Zachhuber

einmal, ab 26.10.2022, 10:00 - 12:00 (17 Termine)

A3/SR 120

Nicolas Perkowski

Lukas Gräfner

Immanuel Zachhuber

einmal, ab 26.10.2022, 12:00 - 14:00 (17 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: 28.02.2023 09:51

Description

Content

? 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.

Additional appointments

Klausur

T9/Gr. Hörsaal

Klaus Altmann

20.02.2023 12:00 - 14:00

Klausureinsicht Basismodul: Algebra I

A6/SR 032 Seminarraum

Klaus Altmann

02.03.2023 11:00 - 13:00

Nachklausur

T9/Gr. Hörsaal

Klaus Altmann

03.04.2023 12:00 - 14:00

Appointment series

Practice seminar for Basic Module: Algebra I

LV: 19202502

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2 SWS

Christian Haase

Practice seminar

Submod: 0084aC1.1.2

Akt: 18.10.2022 14:00

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

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

Algebra and Theory of Numbers

LV: 19200701

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4 SWS

Alexander Schmitt

Lecture

Submod: 0084bC1.6.1

Akt: 01.03.2023 11:18

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

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

Description

Subject matter:
Selected topics from:

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

Additional appointments

Algebra und Zahlentheorie / Klausur

T9/Gr. Hörsaal

Alexander Schmitt

22.02.2023 10:00 - 12:00

Algebra und Zahlentheorie / Klausureinsicht

A3/SR 120

Alexander Schmitt

14.03.2023 10:00 - 16:00

Algebra und Zahlentheorie / Nachklausur

T9/Gr. Hörsaal

Alexander Schmitt

12.04.2023 12:00 - 14:00

Appointment series

A3/Hs 001 Hörsaal

Alexander Schmitt

einmal, ab 20.10.2022, 08:00 - 10:00 (16 Termine)

A3/Hs 001 Hörsaal

Alexander Schmitt

einmal, ab 18.10.2022, 08:00 - 10:00 (16 Termine)

Practice seminar for Algebra and Theory of Numbers

LV: 19200702

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2 SWS

Alexander Schmitt

Practice seminar

Submod: 0084bC1.6.2

Akt: 21.10.2022 12:00

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

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

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: 20.02.2023 11:47

Wed, 14:00 - 16:00 (A3/SR 120)

Thu, 14:00 - 16:00 (A3/SR 120)

Description

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

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

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

References

Literatur:

Dirk Werner: Funktionalanalysis, 7. Auflage, Springer-Verlag 2011, ISBN 978-3-642-21016-7

Additional appointments

Klausur

A6/SR 032 Seminarraum

Péter Koltai

Maximilian Engel

23.02.2023 14:00 - 16:00

Nachholklausur Funktionalanalysis

A6/SR 025/026 Seminarraum

Péter Koltai

Maximilian Engel

05.04.2023 10:00 - 12:00

Appointment series

A3/SR 120

Péter Koltai

Maximilian Engel

einmal, ab 19.10.2022, 14:00 - 16:00 (16 Termine)

A3/SR 120

Péter Koltai

Maximilian Engel

einmal, ab 20.10.2022, 14:00 - 16:00 (16 Termine)

Tutorial: Functional Analysis

LV: 19201902

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2 SWS

Péter Koltai

Maximilian Engel

Practice seminar

Submod: 0084bC2.2.2

Akt: 04.11.2022 12:00

Thu, 16:00 - 18:00 ()

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

Péter Koltai

Maximilian Engel

einmal, ab 20.10.2022, 16:00 - 18:00 (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: 21.09.2022 09:25

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

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

Description

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

References

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

Weitere noch zu bestimmende Literatur und Primärquellen.

Additional information

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

Additional appointments

Appointment series

A7/SR 031

Volker Roth

einmal, ab 20.10.2022, 12:00 - 14:00 (16 Termine)

A7/SR 031

Volker Roth

einmal, ab 19.10.2022, 14:00 - 16:00 (16 Termine)

Practice seminar for Cryptography and Security in Distributed Systems

LV: 19303602

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2 SWS

Volker Roth

Practice seminar

Submod: 0084bC3.6.2

Akt: 10.10.2022 12:00

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

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

Discrete Geometrie I

LV: 19202001

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4 SWS

Christian Haase

Lecture

Submod: 0084bC3.1.1

Akt: 08.12.2022 11:59

Tue, 10:00 - 12:00 (A3/ 024 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
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 (Klausur 1)

T9/Gr. Hörsaal

Christian Haase

27.02.2023 12:00 - 14:00

Diskrete Geometrie I (Klausur 2)

T9/Gr. Hörsaal

Christian Haase

27.03.2023 12:00 - 14:00

Appointment series

A3/ 024 Seminarraum

Christian Haase

einmal, ab 18.10.2022, 10:00 - 12:00 (16 Termine)

A6/SR 032 Seminarraum

Christian Haase

einmal, ab 19.10.2022, 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: 19.10.2022 10:00

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

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

Basic Module: Numerics II

LV: 19202101

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4 SWS

Volker John

Lecture

Submod: 0084bC5.1.1

Akt: 21.09.2022 09:29

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

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

Description

Description: The course will present two topics: numerical methods for stiff ordinary differential equations and iterative
schemes for the solution of linear systems of equations. Lecture notes in English will be available.

Homepage of the course: http://www.wias-berlin.de/people/john/LEHRE/lehre.htm

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)

Additional appointments

Appointment series

A3/ 024 Seminarraum

Volker John

einmal, ab 17.10.2022, 10:00 - 12:00 (16 Termine)

A3/ 024 Seminarraum

Volker John

einmal, ab 17.10.2022, 14:00 - 16:00 (16 Termine)

Practice seminar for Basic Module: Numerics II

LV: 19202102

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2 SWS

Volker John

Practice seminar

Submod: 0084bC5.1.2

Akt: 17.03.2023 12:00

Wed, 16:00 - 18:00 (A3/SR 120)

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

Algorithms, Data Structures, and Data Abstraction

LV: 19300201

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4 SWS

Wolfgang Mulzer

Mahmoud Elashmawi

Lecture

Submod: 0084bC6.2.1

Akt: 01.03.2023 12:01

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

Hs 1a Hörsaal

Hs 1b Hörsaal

Wolfgang Mulzer

Mahmoud Elashmawi

23.02.2023 14:00 - 17:00

Klausureinsicht

T9/055 Seminarraum

Wolfgang Mulzer

Mahmoud Elashmawi

10.03.2023 13:00 - 14:00

Nachklausur

Hs 1a Hörsaal

Wolfgang Mulzer

Mahmoud Elashmawi

13.04.2023 14:00 - 17:00

Appointment series

T9/Gr. Hörsaal

Wolfgang Mulzer

Mahmoud Elashmawi

einmal, ab 18.10.2022, 14:00 - 16:00 (16 Termine)

T9/Gr. Hörsaal

Wolfgang Mulzer

Mahmoud Elashmawi

einmal, ab 20.10.2022, 14:00 - 16:00 (16 Termine)

Practice seminar for Algorithms, Data Structures, and Data Abstraction

LV: 19300202

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2 SWS

Wolfgang Mulzer

Practice seminar

Submod: 0084bC6.2.2

Akt: 07.10.2022 14:00

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

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

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

Mon, 10:00 - 12:00 (T9/SR 005 Übungsraum)

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

Thu, 08:00 - 10:00 (T9/053 Seminarraum)

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

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

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

Fri, 08:00 - 10:00 (T9/053 Seminarraum)

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

Additional appointments

Appointment series

T9/046 Seminarraum

Wolfgang Mulzer

einmal, ab 17.10.2022, 16:00 - 18:00 (16 Termine)

T9/051 Seminarraum

Wolfgang Mulzer

einmal, ab 21.10.2022, 08:00 - 10:00 (16 Termine)

T9/051 Seminarraum

Wolfgang Mulzer

einmal, ab 21.10.2022, 14:00 - 16:00 (16 Termine)

T9/SR 005 Übungsraum

Wolfgang Mulzer

einmal, ab 24.10.2022, 10:00 - 12:00 (15 Termine)

T9/046 Seminarraum

Wolfgang Mulzer

einmal, ab 21.10.2022, 10:00 - 12:00 (16 Termine)

T9/053 Seminarraum

Wolfgang Mulzer

einmal, ab 20.10.2022, 08:00 - 10:00 (16 Termine)

T9/053 Seminarraum

Wolfgang Mulzer

einmal, ab 21.10.2022, 14:00 - 16:00 (16 Termine)

T9/051 Seminarraum

Wolfgang Mulzer

einmal, ab 19.10.2022, 16:00 - 18:00 (16 Termine)

T9/051 Seminarraum

Wolfgang Mulzer

einmal, ab 19.10.2022, 14:00 - 16:00 (16 Termine)

T9/053 Seminarraum

Wolfgang Mulzer

einmal, ab 21.10.2022, 08:00 - 10:00 (16 Termine)

T9/053 Seminarraum

Wolfgang Mulzer

einmal, ab 19.10.2022, 16:00 - 18:00 (16 Termine)

Module: Seminar on Algorithms (0084bC6.5)

Seminar on Algorithms

LV: 19306711

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2 SWS

László Kozma

Seminar

Submod: 0084bC6.5.1

Akt: 21.09.2022 09:26

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

Description

Worst-case analysis of algorithms is one of the cornerstones of theoretical computer science. At the same time, there is a growing discrepancy between the theoretical worst-case guarantees we can prove and the practical performance of algorithms observed on real inputs. This is particularly true in fields such as machine learning, SAT solving, and numerical optimization, where problems known to be hard in the worst-case are routinely solved to great effect on large real-world inputs.

In this seminar, we look at different strategies for dealing with this situation, and more fine-grained and nuanced techniques for the analysis of algorithms. The discussions will be mostly based on chapters of the recent book: "Beyond the Worst-Case Analysis of Algorithms" by T. Roughgarden, Cambridge University Press, 2020.

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

Additional appointments

Appointment series

A7/SR 031

László Kozma

einmal, ab 21.10.2022, 14:00 - 16:00 (16 Termine)

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

Module: Mathematics Seminar (0084cB1.1)

Undergraduate Seminar: Commutative Algebra

LV: 19201510

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2 SWS

Alexandru Constantinescu

Proseminar

Submod: 0084cB1.1.1

Akt: 04.11.2022 16:00

Wed, 14:00 - 16:00 (A3/SR 115)

Description

Necessary background: Linear Algebra 1 & 2

Description: The goal si a friendly introduction to commutative algebra. To this aim we will study ideals of the polynomial ring K[x₁,....,x_n] which can be generated woith monomials. The basics on commutative rings will also be introduced. The written material will be in English, while the lecutres will be in German.

References

J. Herzog, T. Hibi, Monomial Ideals, Springer, GTM 260 (2011)

Additional appointments

Appointment series

A3/SR 115

Alexandru Constantinescu

einmal, ab 19.10.2022, 14:00 - 16:00 (16 Termine)

Seminar Discrete Mathematics I

LV: 19202211

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2 SWS

Tibor Szabo

Seminar

Submod: 0084cB1.1.1

Akt: 04.11.2022 16:00

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

Proofs from THE BOOK

LV: 19203311

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2 SWS

Alexander Schmitt

Marwan Benyoussef

Seminar

Submod: 0084cB1.1.1

Akt: 21.09.2022 09:30

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

Description

In this (pro)seminar we will use the basics of linear algebra, analysis, number theory, and some elementary but omnipresent concepts and reasonings from discrete mathematics to understand some of the proofs that Paul Erdos would have qualified as "The proofs from THE BOOK". These proofs are supposed to be highly efficient, concise and beautiful in terms of techniques and scope.

Additional information

Participants should feel comfortable with the contents of 'Linear algebra 1', and perhaps 'Linear algebra 2'. If there are interested students who have already done the 'Algebra und Zahlentheorie' module, we will also be able to find interesting topics for them.

Additional appointments

Appointment series

A6/SR 009 Seminarraum

Alexander Schmitt

Marwan Benyoussef

einmal, ab 18.10.2022, 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

Wolfgang Mulzer

Mahmoud Elashmawi

Lecture

Submod: 0084bC6.2.1

Akt: 01.03.2023 12:01

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

Hs 1a Hörsaal

Hs 1b Hörsaal

Wolfgang Mulzer

Mahmoud Elashmawi

23.02.2023 14:00 - 17:00

Klausureinsicht

T9/055 Seminarraum

Wolfgang Mulzer

Mahmoud Elashmawi

10.03.2023 13:00 - 14:00

Nachklausur

Hs 1a Hörsaal

Wolfgang Mulzer

Mahmoud Elashmawi

13.04.2023 14:00 - 17:00

Appointment series

T9/Gr. Hörsaal

Wolfgang Mulzer

Mahmoud Elashmawi

einmal, ab 18.10.2022, 14:00 - 16:00 (16 Termine)

T9/Gr. Hörsaal

Wolfgang Mulzer

Mahmoud Elashmawi

einmal, ab 20.10.2022, 14:00 - 16:00 (16 Termine)

Practice seminar for Algorithms, Data Structures, and Data Abstraction

LV: 19300202

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2 SWS

Wolfgang Mulzer

Practice seminar

Submod: 0084bC6.2.2

Akt: 07.10.2022 14:00

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

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

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

Mon, 10:00 - 12:00 (T9/SR 005 Übungsraum)

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

Thu, 08:00 - 10:00 (T9/053 Seminarraum)

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

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

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

Fri, 08:00 - 10:00 (T9/053 Seminarraum)

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

Additional appointments

Appointment series

T9/046 Seminarraum

Wolfgang Mulzer

einmal, ab 17.10.2022, 16:00 - 18:00 (16 Termine)

T9/051 Seminarraum

Wolfgang Mulzer

einmal, ab 21.10.2022, 08:00 - 10:00 (16 Termine)

T9/051 Seminarraum

Wolfgang Mulzer

einmal, ab 21.10.2022, 14:00 - 16:00 (16 Termine)

T9/SR 005 Übungsraum

Wolfgang Mulzer

einmal, ab 24.10.2022, 10:00 - 12:00 (15 Termine)

T9/046 Seminarraum

Wolfgang Mulzer

einmal, ab 21.10.2022, 10:00 - 12:00 (16 Termine)

T9/053 Seminarraum

Wolfgang Mulzer

einmal, ab 20.10.2022, 08:00 - 10:00 (16 Termine)

T9/053 Seminarraum

Wolfgang Mulzer

einmal, ab 21.10.2022, 14:00 - 16:00 (16 Termine)

T9/051 Seminarraum

Wolfgang Mulzer

einmal, ab 19.10.2022, 16:00 - 18:00 (16 Termine)

T9/051 Seminarraum

Wolfgang Mulzer

einmal, ab 19.10.2022, 14:00 - 16:00 (16 Termine)

T9/053 Seminarraum

Wolfgang Mulzer

einmal, ab 21.10.2022, 08:00 - 10:00 (16 Termine)

T9/053 Seminarraum

Wolfgang Mulzer

einmal, ab 19.10.2022, 16:00 - 18:00 (16 Termine)

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

Algebra and Theory of Numbers

LV: 19200701

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4 SWS

Alexander Schmitt

Lecture

Submod: 0084bC1.6.1

Akt: 01.03.2023 11:18

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

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

Description

Subject matter:
Selected topics from:

Additional appointments

Algebra und Zahlentheorie / Klausur

T9/Gr. Hörsaal

Alexander Schmitt

22.02.2023 10:00 - 12:00

Algebra und Zahlentheorie / Klausureinsicht

A3/SR 120

Alexander Schmitt

14.03.2023 10:00 - 16:00

Algebra und Zahlentheorie / Nachklausur

T9/Gr. Hörsaal

Alexander Schmitt

12.04.2023 12:00 - 14:00

Appointment series

A3/Hs 001 Hörsaal

Alexander Schmitt

einmal, ab 20.10.2022, 08:00 - 10:00 (16 Termine)

A3/Hs 001 Hörsaal

Alexander Schmitt

einmal, ab 18.10.2022, 08:00 - 10:00 (16 Termine)

Practice seminar for Algebra and Theory of Numbers

LV: 19200702

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2 SWS

Alexander Schmitt

Practice seminar

Submod: 0084bC1.6.2

Akt: 21.10.2022 12:00

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

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

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: 20.02.2023 11:47

Wed, 14:00 - 16:00 (A3/SR 120)

Thu, 14:00 - 16:00 (A3/SR 120)

Description

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

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

References

Literatur:

Dirk Werner: Funktionalanalysis, 7. Auflage, Springer-Verlag 2011, ISBN 978-3-642-21016-7

Additional appointments

Klausur

A6/SR 032 Seminarraum

Péter Koltai

Maximilian Engel

23.02.2023 14:00 - 16:00

Nachholklausur Funktionalanalysis

A6/SR 025/026 Seminarraum

Péter Koltai

Maximilian Engel

05.04.2023 10:00 - 12:00

Appointment series

A3/SR 120

Péter Koltai

Maximilian Engel

einmal, ab 19.10.2022, 14:00 - 16:00 (16 Termine)

A3/SR 120

Péter Koltai

Maximilian Engel

einmal, ab 20.10.2022, 14:00 - 16:00 (16 Termine)

Tutorial: Functional Analysis

LV: 19201902

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2 SWS

Péter Koltai

Maximilian Engel

Practice seminar

Submod: 0084bC2.2.2

Akt: 04.11.2022 12:00

Thu, 16:00 - 18:00 ()

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

Péter Koltai

Maximilian Engel

einmal, ab 20.10.2022, 16:00 - 18:00 (16 Termine)

Module: Discrete Mathematics I (0084cB3.2)

Discrete Geometrie I

LV: 19202001

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4 SWS

Christian Haase

Lecture

Submod: 0084bC3.1.1

Akt: 08.12.2022 11:59

Tue, 10:00 - 12:00 (A3/ 024 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
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 (Klausur 1)

T9/Gr. Hörsaal

Christian Haase

27.02.2023 12:00 - 14:00

Diskrete Geometrie I (Klausur 2)

T9/Gr. Hörsaal

Christian Haase

27.03.2023 12:00 - 14:00

Appointment series

A3/ 024 Seminarraum

Christian Haase

einmal, ab 18.10.2022, 10:00 - 12:00 (16 Termine)

A6/SR 032 Seminarraum

Christian Haase

einmal, ab 19.10.2022, 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: 19.10.2022 10:00

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

Module: Numerical Mathematics II (0084cB3.4)

Basic Module: Numerics II

LV: 19202101

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4 SWS

Volker John

Lecture

Submod: 0084bC5.1.1

Akt: 21.09.2022 09:29

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

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

Description

Homepage of the course: http://www.wias-berlin.de/people/john/LEHRE/lehre.htm

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)

Additional appointments

Appointment series

A3/ 024 Seminarraum

Volker John

einmal, ab 17.10.2022, 10:00 - 12:00 (16 Termine)

A3/ 024 Seminarraum

Volker John

einmal, ab 17.10.2022, 14:00 - 16:00 (16 Termine)

Practice seminar for Basic Module: Numerics II

LV: 19202102

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2 SWS

Volker John

Practice seminar

Submod: 0084bC5.1.2

Akt: 17.03.2023 12:00

Wed, 16:00 - 18:00 (A3/SR 120)

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: 28.02.2023 09:51

Description

Content

? 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.

Additional appointments

Klausur

T9/Gr. Hörsaal

Klaus Altmann

20.02.2023 12:00 - 14:00

Klausureinsicht Basismodul: Algebra I

A6/SR 032 Seminarraum

Klaus Altmann

02.03.2023 11:00 - 13:00

Nachklausur

T9/Gr. Hörsaal

Klaus Altmann

03.04.2023 12:00 - 14:00

Appointment series

Practice seminar for Basic Module: Algebra I

LV: 19202502

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2 SWS

Christian Haase

Practice seminar

Submod: 0084aC1.1.2

Akt: 18.10.2022 14:00

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

Module: Seminar on Algorithms (0089bA2.8)

Seminar on Algorithms

LV: 19306711

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2 SWS

László Kozma

Seminar

Submod: 0084bC6.5.1

Akt: 21.09.2022 09:26

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

Description

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

Additional appointments

Appointment series

A7/SR 031

László Kozma

einmal, ab 21.10.2022, 14:00 - 16:00 (16 Termine)

Module: Analysis I (0084cA1.1)

Analysis I

LV: 19202801

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4 SWS

Marita Thomas

Lecture

Submod: 0084aA1.1.1

Akt: 19.12.2022 13:18

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

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

Description

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

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

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

References

Literature:

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

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

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

Scheerer, Hans: Brückenkurs, Skript FU Berlin 2006.

Additional appointments

Klausur

Gr. Hörsaal (Raum B.001)

Marita Thomas

02.03.2023 10:00 - 12:30

Analysis I Nachklausur

T9/Gr. Hörsaal

Marita Thomas

29.03.2023 10:00 - 12:30

Appointment series

A3/Hs 001 Hörsaal

Marita Thomas

einmal, ab 18.10.2022, 10:00 - 12:00 (16 Termine)

A3/Hs 001 Hörsaal

Marita Thomas

einmal, ab 20.10.2022, 10:00 - 12:00 (16 Termine)

Practice seminar for Analysis I

LV: 19202802

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2 SWS

Sven Tornquist

Marita Thomas

Practice seminar

Submod: 0084aA1.1.2

Akt: 07.10.2022 16:00

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

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

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

Thu, 16:00 - 18:00 (A3/SR 115)

Additional appointments

Appointment series

A7/SR 140 Seminarraum (Hinterhaus)

Sven Tornquist

Marita Thomas

einmal, ab 19.10.2022, 12:00 - 14:00 (16 Termine)

A7/SR 140 Seminarraum (Hinterhaus)

Sven Tornquist

Marita Thomas

einmal, ab 19.10.2022, 14:00 - 16:00 (16 Termine)

A6/SR 009 Seminarraum

Sven Tornquist

Marita Thomas

einmal, ab 19.10.2022, 14:00 - 16:00 (16 Termine)

A3/SR 115

Sven Tornquist

Marita Thomas

einmal, ab 20.10.2022, 16:00 - 18:00 (16 Termine)

Module: Lineare Algebra I (0084cA1.4)

Linear Algebra I

LV: 19201401

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4 SWS

Karin Schaller

Lecture

Submod: 0084aA2.1.1

Akt: 06.04.2023 14:52

Mon, 16:00 - 18:00 (A3/SR 120)

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

Mon, 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;
Bartel Leendert van der Waerden, Algebra Volume I, 9th Edition, Springer 1993;

Zu den Grundlagen

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

Additional appointments

Lineare Algebra I

T9/SR 006 Seminarraum

Karin Schaller

08.02.2023 14:00 - 16:00

Lineare Algebra I

HFB/B Hörsaal

Karin Schaller

15.02.2023 08:00 - 11:00

Lineare Algebra I

A3/SR 120

Karin Schaller

21.02.2023 10:00 - 16:00

Lineare Algebra I

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

Karin Schaller

05.04.2023 10:00 - 13:00

Lineare Algebra I (WS22/23) - Nachklausureinsicht

A3/SR 120

Karin Schaller

27.04.2023 12:00 - 13:30

Appointment series

A3/SR 120

Karin Schaller

einmal, ab 31.10.2022, 16:00 - 18:00 (15 Termine)

A3/Hs 001 Hörsaal

Karin Schaller

einmal, ab 19.10.2022, 08:00 - 10:00 (16 Termine)

A3/Hs 001 Hörsaal

Karin Schaller

einmal, ab 17.10.2022, 08:00 - 10:00 (16 Termine)

Practice seminar for Linear Algebra I

LV: 19201402

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2 SWS

Karin Schaller

Practice seminar

Submod: 0084aA2.1.2

Akt: 07.11.2022 13:48

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

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

Mon, 12:00 - 14:00 (A3/SR 120)

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

Additional appointments

Übung zu Lineare Algebra I

A6/SR 025/026 Seminarraum

Karin Schaller

14.11.2022 08:00 - 10:00

Appointment series

A3/019 Seminarraum

Karin Schaller

einmal, ab 21.10.2022, 14:00 - 16:00 (16 Termine)

A6/SR 025/026 Seminarraum

Karin Schaller

einmal, ab 17.10.2022, 12:00 - 14:00 (16 Termine)

A3/SR 120

Karin Schaller

einmal, ab 17.10.2022, 12:00 - 14:00 (16 Termine)

A3/019 Seminarraum

Karin Schaller

einmal, ab 17.10.2022, 10:00 - 12:00 (16 Termine)

Module: Computerorientierte Mathematik I (0084cA1.6)

Computerorientated Mathematics I (5 LP)

LV: 19200501

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2 SWS

Christof Schütte

Andreas Bittracher

Lecture

Submod: 0084aA3.1.1

Akt: 15.03.2023 16:44

Fri, 12:00 - 14:00 (T9/Gr. Hörsaal)

Description

Homepage: All current information on lectures and lectures

References

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

Additional appointments

Klausur

Hs 2 Hörsaal

Christof Schütte

Andreas Bittracher

24.02.2023 12:00 - 14:00

Klausureinsicht Computerorientierte Mathematik I (5 LP)

T9/049 Seminarraum

Christof Schütte

Andreas Bittracher

06.03.2023 10:00 - 12:00

Nachklausur

T9/Gr. Hörsaal

Christof Schütte

Andreas Bittracher

27.03.2023 10:00 - 12:00

Appointment series

T9/Gr. Hörsaal

Christof Schütte

Andreas Bittracher

einmal, ab 21.10.2022, 12:00 - 14:00 (16 Termine)

Practice seminar for Computerorientated Mathematics I (5 LP)

LV: 19200502

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2 SWS

Christof Schütte

Practice seminar

Submod: 0084aA3.1.2

Akt: 07.10.2022 12:00

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

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

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

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

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

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

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

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

Additional appointments

Appointment series

A6/SR 025/026 Seminarraum

Christof Schütte

einmal, ab 19.10.2022, 12:00 - 14:00 (16 Termine)

A3/019 Seminarraum

Christof Schütte

einmal, ab 17.10.2022, 12:00 - 14:00 (16 Termine)

A3/SR 119

Christof Schütte

einmal, ab 20.10.2022, 08:00 - 10:00 (16 Termine)

A3/ 024 Seminarraum

Christof Schütte

einmal, ab 19.10.2022, 12:00 - 14:00 (16 Termine)

A3/019 Seminarraum

Christof Schütte

einmal, ab 19.10.2022, 10:00 - 12:00 (16 Termine)

A3/SR 119

Christof Schütte

einmal, ab 19.10.2022, 14:00 - 16:00 (16 Termine)

T9/055 Seminarraum

Christof Schütte

einmal, ab 20.10.2022, 08:00 - 10:00 (16 Termine)

T9/051 Seminarraum

Christof Schütte

einmal, ab 18.10.2022, 08:00 - 10:00 (16 Termine)

Module: Stochastics I (0084cA1.8)

Stochastics I

LV: 19200601

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4 SWS

Immanuel Zachhuber

Nicolas Perkowski

Lecture

Submod: 0084bA4.2.1

Akt: 23.01.2023 10:39

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

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

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
Datenanalyse und deskriptive Statistik: Histogramme; empirische Verteilung; Kenngrößen von Stichprobenverteilungen; Beispiele irreführender deskriptiver Statistiken; lineare Regression
Elementare Begriffe und Techniken des Testens und Schätzens: Maximum-Likelihood-Prinzip; Konfidenzintervalle; Hypothesentests; Fehler erster und zweiter Art

References

Literatur:

E. Behrends: Elementare Stochastik, Springer, 2013
H.-O. Georgii: Stochastik: Einführung in die Wahrscheinlichkeitstheorie und Statistik, De Gruyter, 2007
U. Krengel: Einführung in die Wahrscheinlichkeitstheorie und Statistik, Vieweg, 2005
D. Meintrup, S. Schäffler, Stochastik: Theorie und Anwendungen, Springer, 2005.
Die meisten der oben aufgeführten Bücher gibt es online über die UB.

Additional information

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

Additional appointments

Klausur

A6/SR 032 Seminarraum

Immanuel Zachhuber

Nicolas Perkowski

13.02.2023 14:00 - 16:00

Nachklausur

A6/SR 031 Seminarraum

Immanuel Zachhuber

Nicolas Perkowski

12.04.2023 10:00 - 12:00

Appointment series

A6/SR 031 Seminarraum

Immanuel Zachhuber

Nicolas Perkowski

einmal, ab 19.10.2022, 08:00 - 10:00 (16 Termine)

A6/SR 032 Seminarraum

Immanuel Zachhuber

Nicolas Perkowski

einmal, ab 17.10.2022, 14:00 - 16:00 (16 Termine)

Tutorial: Stochastics I

LV: 19200602

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2 SWS

Nicolas Perkowski

Lukas Gräfner

Immanuel Zachhuber

Practice seminar

Submod: 0084bA4.2.2

Akt: 26.10.2022 14:00

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

Wed, 10:00 - 12:00 (Virtueller Raum 02)

Wed, 12:00 - 14:00 (A3/SR 120)

Additional appointments

Appointment series

A7/SR 140 Seminarraum (Hinterhaus)

Nicolas Perkowski

Lukas Gräfner

Immanuel Zachhuber

einmal, ab 17.10.2022, 12:00 - 14:00 (16 Termine)

Virtueller Raum 02

Nicolas Perkowski

Lukas Gräfner

Immanuel Zachhuber

einmal, ab 26.10.2022, 10:00 - 12:00 (17 Termine)

A3/SR 120

Nicolas Perkowski

Lukas Gräfner

Immanuel Zachhuber

einmal, ab 26.10.2022, 12:00 - 14:00 (17 Termine)

Module: Analysis II (0084cA1.2)

Analysis II

LV: 19211601

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Claudia Schillings

Lecture

Submod: 0084cA1.2.1

Akt: 28.02.2023 09:51

Thu, 10:00 - 12:00 (T9/SR 005 Übungsraum)

Tue, 10:00 - 12:00 (T9/SR 005 Übungsraum)

Description

Content

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

References

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

Additional appointments

Klausur

T9/Gr. Hörsaal

Claudia Schillings

14.04.2023 10:00 - 12:00

Appointment series

T9/SR 005 Übungsraum

Claudia Schillings

einmal, ab 20.10.2022, 10:00 - 12:00 (16 Termine)

T9/SR 005 Übungsraum

Claudia Schillings

einmal, ab 18.10.2022, 10:00 - 12:00 (16 Termine)

Practice seminar for Analysis II

LV: 19211602

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2 SWS

Claudia Schillings

Practice seminar

Submod: 0084cA1.2.2

Akt: 28.10.2022 14:00

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

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

Module: Lineare Algebra II (0084cA1.5)

Linear Algebra II

LV: 19211701

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4 SWS

Pavle Blagojevic

Lecture

Submod: 0084cA1.5.1

Akt: 23.03.2023 16:00

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

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

Wed, 12:00 - 14:00 (1.3.14 Hörsaal A)

Description

Contents:

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

Prerequisites:
Linear Algebra I
Literature:

Will be mentioned in the lecture.

Additional information

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

Additional appointments

Appointment series

A3/Hs 001 Hörsaal

Pavle Blagojevic

einmal, ab 21.10.2022, 08:00 - 10:00 (16 Termine)

A3/Hs 001 Hörsaal

Pavle Blagojevic

einmal, ab 19.10.2022, 12:00 - 14:00 (16 Termine)

1.3.14 Hörsaal A

Pavle Blagojevic

einmal, ab 15.03.2023, 12:00 - 14:00 (5 Termine)

Practice seminar for Linear Algebra II

LV: 19211702

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2 SWS

Pavle Blagojevic

Practice seminar

Submod: 0084cA1.5.2

Akt: 21.09.2022 09:35

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

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

Fri, 14:00 - 16:00 (A3/SR 120)

Thu, 08:00 - 10:00 (A3/SR 120)

Additional appointments

Appointment series

A3/SR 119

Pavle Blagojevic

einmal, ab 20.10.2022, 16:00 - 18:00 (16 Termine)

A6/SR 032 Seminarraum

Pavle Blagojevic

einmal, ab 21.10.2022, 10:00 - 12:00 (16 Termine)

A3/SR 120

Pavle Blagojevic

einmal, ab 21.10.2022, 14:00 - 16:00 (16 Termine)

A3/SR 120

Pavle Blagojevic

einmal, ab 20.10.2022, 08:00 - 10:00 (16 Termine)

Module: Analysis III (0084cA1.3)

Analysis III

LV: 19201301

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4 SWS

Dirk Werner

Lecture

Submod: 0084aA1.3.1

Akt: 08.02.2023 14:00

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

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

Description

The lecture Analysis III is the final lecture of the cycle Analysis I-III.

^{Differentiation and integration in Rn},
extremes with and without constraints,
integration on surfaces,
the integrals of Gauss and Stokes and much more are discussed.

These basics are indispensable for a successful study of mathematics.

References

Literatur

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

und für geschichtlich Interessierte:

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

Additional appointments

Klausur

A6/SR 031 Seminarraum

T9/Gr. Hörsaal

Dirk Werner

21.02.2023 10:00 - 12:00

Nachklausur

A6/SR 031 Seminarraum

Dirk Werner

18.04.2023 18:00 - 20:00

Appointment series

A6/SR 031 Seminarraum

Dirk Werner

einmal, ab 18.10.2022, 10:00 - 12:00 (16 Termine)

A6/SR 031 Seminarraum

Dirk Werner

einmal, ab 20.10.2022, 10:00 - 12:00 (16 Termine)

Practice seminar for Analysis III

LV: 19201302

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2 SWS

Dirk Werner

Practice seminar

Submod: 0084aA1.3.2

Akt: 21.09.2022 09:34

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

Mathematics (0084d_k120)

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

Undergraduate Seminar: Commutative Algebra

LV: 19201510

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2 SWS

Alexandru Constantinescu

Proseminar

Submod: 0084cB1.1.1

Akt: 04.11.2022 16:00

Wed, 14:00 - 16:00 (A3/SR 115)

Description

Necessary background: Linear Algebra 1 & 2

References

J. Herzog, T. Hibi, Monomial Ideals, Springer, GTM 260 (2011)

Additional appointments

Appointment series

A3/SR 115

Alexandru Constantinescu

einmal, ab 19.10.2022, 14:00 - 16:00 (16 Termine)

Seminar Discrete Mathematics I

LV: 19202211

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2 SWS

Tibor Szabo

Seminar

Submod: 0084cB1.1.1

Akt: 04.11.2022 16:00

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

Masterseminar Stochastics

LV: 19208111

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2 SWS

Nicolas Perkowski

Seminar

Submod: 0084dB1.1.1

Akt: 04.11.2022 16:00

Tue, 14:00 - 16:00 (A3/SR 115)

Description

Content: The seminar covers advanced topics of stochastics.

Detailed Information can be found on the Homepage of the seminar.

References

Literatur wir in der Vorbesprechung bekanntgegeben.

Literature will be announced in the preliminary discussion

Additional information

Prerequisites: Stochastics I and II.
Target Group: BMS Students, Master students and advanced Bachelor students.

Additional appointments

Appointment series

A3/SR 115

Nicolas Perkowski

einmal, ab 18.10.2022, 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: 04.11.2022 16:00

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

Description

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

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

References

Related Basic Literature:

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

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

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

Additional information

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

Additional appointments

Appointment series

A6/SR 009 Seminarraum

Luigi Delle Site

einmal, ab 21.10.2022, 12:00 - 14:00 (16 Termine)

Variational methods and Gamma-convergence

LV: 19247111

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2 SWS

Marita Thomas

Seminar

Submod: 0084dB1.1.1

Akt: 04.11.2022 16:00

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

Description

This seminar addresses bachelor and master students interested in the analysis of partial differential equations (PDEs). It focuses on elliptic PDEs, where the direct method of the calculus of variations provides a powerful tool to handle linear as well as nonlinear problems by investigating the minimality properties of the functional associated with the PDE. Closely related to this is the method of Gamma-convergence, which allows it to study sequences of functionals and minimization problems. A background with courses in analysis, functional analysis, and introduction to PDEs is useful to attend the seminar, but the topics for the presentations will be adapted to the background of the participants.

Additional appointments

Appointment series

A3/SR 119

Marita Thomas

einmal, ab 18.10.2022, 14:00 - 16:00 (16 Termine)

Geometric and Surface PDEs

LV: 19247211

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2 SWS

Ana Djurdjevac

Seminar

Submod: 0084dB1.1.1

Akt: 04.11.2022 16:00

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

Description

This seminar addresses bachelor and master students interested in the analysis and numerical analysis of geometric partial differential equations (GPDEs) and surface PDEs. We will introduce basic GPDEs and SPDEs, discuss their well-posedness and numerical discretization. In particular, surface finite element methods will be analyzed. The main literature will be

References

Deckelnick, Klaus, Gerhard Dziuk, and Charles M. Elliott. "Computation of geometric partial differential equations and mean curvature flow." Acta numerica 14 (2005): 139-232.

Dziuk, Gerhard, and Charles M. Elliott. "Finite element methods for surface PDEs." Acta Numerica 22 (2013): 289-396.

Dziuk, Gerhard, and Charles M. Elliott. "Surface finite elements for parabolic equations." Journal of Computational Mathematics (2007): 385-407.

Additional information

Basic knowledge on PDEs and their numerical solution using finite element method (Num 3) is desired.

Additional appointments

Appointment series

A6/SR 009 Seminarraum

Ana Djurdjevac

einmal, ab 19.10.2022, 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: 20.02.2023 11:47

Wed, 14:00 - 16:00 (A3/SR 120)

Thu, 14:00 - 16:00 (A3/SR 120)

Description

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

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

References

Literatur:

Dirk Werner: Funktionalanalysis, 7. Auflage, Springer-Verlag 2011, ISBN 978-3-642-21016-7

Additional appointments

Klausur

A6/SR 032 Seminarraum

Péter Koltai

Maximilian Engel

23.02.2023 14:00 - 16:00

Nachholklausur Funktionalanalysis

A6/SR 025/026 Seminarraum

Péter Koltai

Maximilian Engel

05.04.2023 10:00 - 12:00

Appointment series

A3/SR 120

Péter Koltai

Maximilian Engel

einmal, ab 19.10.2022, 14:00 - 16:00 (16 Termine)

A3/SR 120

Péter Koltai

Maximilian Engel

einmal, ab 20.10.2022, 14:00 - 16:00 (16 Termine)

Tutorial: Functional Analysis

LV: 19201902

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2 SWS

Péter Koltai

Maximilian Engel

Practice seminar

Submod: 0084bC2.2.2

Akt: 04.11.2022 12:00

Thu, 16:00 - 18:00 ()

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

Péter Koltai

Maximilian Engel

einmal, ab 20.10.2022, 16:00 - 18:00 (16 Termine)

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

Algebra and Theory of Numbers

LV: 19200701

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4 SWS

Alexander Schmitt

Lecture

Submod: 0084bC1.6.1

Akt: 01.03.2023 11:18

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

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

Description

Subject matter:
Selected topics from:

Additional appointments

Algebra und Zahlentheorie / Klausur

T9/Gr. Hörsaal

Alexander Schmitt

22.02.2023 10:00 - 12:00

Algebra und Zahlentheorie / Klausureinsicht

A3/SR 120

Alexander Schmitt

14.03.2023 10:00 - 16:00

Algebra und Zahlentheorie / Nachklausur

T9/Gr. Hörsaal

Alexander Schmitt

12.04.2023 12:00 - 14:00

Appointment series

A3/Hs 001 Hörsaal

Alexander Schmitt

einmal, ab 20.10.2022, 08:00 - 10:00 (16 Termine)

A3/Hs 001 Hörsaal

Alexander Schmitt

einmal, ab 18.10.2022, 08:00 - 10:00 (16 Termine)

Practice seminar for Algebra and Theory of Numbers

LV: 19200702

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2 SWS

Alexander Schmitt

Practice seminar

Submod: 0084bC1.6.2

Akt: 21.10.2022 12:00

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

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

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

Geometric and Surface PDEs

LV: 19247211

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2 SWS

Ana Djurdjevac

Seminar

Submod: 0084dB1.1.1

Akt: 04.11.2022 16:00

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

Description

References

Additional information

Basic knowledge on PDEs and their numerical solution using finite element method (Num 3) is desired.

Additional appointments

Appointment series

A6/SR 009 Seminarraum

Ana Djurdjevac

einmal, ab 19.10.2022, 16:00 - 18:00 (16 Termine)

Module: Special topics in Mathematics (0084dB2.11)

Discrete Geometrie I

LV: 19202001

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4 SWS

Christian Haase

Lecture

Submod: 0084bC3.1.1

Akt: 08.12.2022 11:59

Tue, 10:00 - 12:00 (A3/ 024 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
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 (Klausur 1)

T9/Gr. Hörsaal

Christian Haase

27.02.2023 12:00 - 14:00

Diskrete Geometrie I (Klausur 2)

T9/Gr. Hörsaal

Christian Haase

27.03.2023 12:00 - 14:00

Appointment series

A3/ 024 Seminarraum

Christian Haase

einmal, ab 18.10.2022, 10:00 - 12:00 (16 Termine)

A6/SR 032 Seminarraum

Christian Haase

einmal, ab 19.10.2022, 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: 19.10.2022 10:00

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

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

Mathematisches Panorama

LV: 19236101

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2 SWS

Marcus Weber

Anina Mischau

Lecture

Submod: 0084dB2.12.1

Akt: 27.10.2022 16:00

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

Description

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

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

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

References

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

Additional appointments

Appointment series

T9/SR 005 Übungsraum

Marcus Weber

Anina Mischau

einmal, ab 19.10.2022, 12:00 - 14:00 (16 Termine)

Übung zu: Mathematisches Panorama

LV: 19236102

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2 SWS

Marcus Weber

Anina Mischau

Practice seminar

Submod: 0084dB2.12.2

Akt: 07.10.2022 16:00

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

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

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

Additional appointments

Appointment series

A6/SR 025/026 Seminarraum

Marcus Weber

Anina Mischau

einmal, ab 17.10.2022, 16:00 - 18:00 (16 Termine)

A7/SR 031

Marcus Weber

Anina Mischau

einmal, ab 20.10.2022, 16:00 - 18:00 (16 Termine)

A6/SR 025/026 Seminarraum

Marcus Weber

Anina Mischau

einmal, ab 21.10.2022, 14:00 - 16:00 (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: 28.02.2023 09:51

Description

Content

? 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.

Additional appointments

Klausur

T9/Gr. Hörsaal

Klaus Altmann

20.02.2023 12:00 - 14:00

Klausureinsicht Basismodul: Algebra I

A6/SR 032 Seminarraum

Klaus Altmann

02.03.2023 11:00 - 13:00

Nachklausur

T9/Gr. Hörsaal

Klaus Altmann

03.04.2023 12:00 - 14:00

Appointment series

Practice seminar for Basic Module: Algebra I

LV: 19202502

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2 SWS

Christian Haase

Practice seminar

Submod: 0084aC1.1.2

Akt: 18.10.2022 14:00

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

Module: Numerical Mathematics II (0084dB3.4)

Basic Module: Numerics II

LV: 19202101

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4 SWS

Volker John

Lecture

Submod: 0084bC5.1.1

Akt: 21.09.2022 09:29

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

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

Description

Homepage of the course: http://www.wias-berlin.de/people/john/LEHRE/lehre.htm

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)

Additional appointments

Appointment series

A3/ 024 Seminarraum

Volker John

einmal, ab 17.10.2022, 10:00 - 12:00 (16 Termine)

A3/ 024 Seminarraum

Volker John

einmal, ab 17.10.2022, 14:00 - 16:00 (16 Termine)

Practice seminar for Basic Module: Numerics II

LV: 19202102

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2 SWS

Volker John

Practice seminar

Submod: 0084bC5.1.2

Akt: 17.03.2023 12:00

Wed, 16:00 - 18:00 (A3/SR 120)

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: 01.03.2023 18:00

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

Tue, 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

20.02.2023 10:00 - 12:30

Nachklausur

T9/Gr. Hörsaal

László Kozma

17.04.2023 10:00 - 12:00

Appointment series

T9/SR 006 Seminarraum

László Kozma

einmal, ab 20.10.2022, 10:00 - 12:00 (16 Termine)

T9/SR 006 Seminarraum

László Kozma

einmal, ab 18.10.2022, 10:00 - 12:00 (16 Termine)

Practice seminar for Advanced Algorithms

LV: 19303502

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2 SWS

Jonas Cleve

László Kozma

Practice seminar

Submod: 0084dB3.7.2

Akt: 22.09.2022 12:00

Wed, 14:00 - 16:00 ()

Wed, 08:00 - 10:00 (T9/053 Seminarraum)

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

Additional appointments

Appointment series

Jonas Cleve

László Kozma

einmal, ab 19.10.2022, 14:00 - 16:00 (16 Termine)

T9/053 Seminarraum

Jonas Cleve

László Kozma

einmal, ab 19.10.2022, 08:00 - 10:00 (16 Termine)

A6/SR 007/008 Seminarraum

Jonas Cleve

László Kozma

einmal, ab 19.10.2022, 12:00 - 14:00 (18 Termine)

Module: Analysis I (0084dA1.1)

Analysis I

LV: 19202801

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4 SWS

Marita Thomas

Lecture

Submod: 0084aA1.1.1

Akt: 19.12.2022 13:18

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

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

Description

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

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

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

References

Literature:

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

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

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

Scheerer, Hans: Brückenkurs, Skript FU Berlin 2006.

Additional appointments

Klausur

Gr. Hörsaal (Raum B.001)

Marita Thomas

02.03.2023 10:00 - 12:30

Analysis I Nachklausur

T9/Gr. Hörsaal

Marita Thomas

29.03.2023 10:00 - 12:30

Appointment series

A3/Hs 001 Hörsaal

Marita Thomas

einmal, ab 18.10.2022, 10:00 - 12:00 (16 Termine)

A3/Hs 001 Hörsaal

Marita Thomas

einmal, ab 20.10.2022, 10:00 - 12:00 (16 Termine)

Practice seminar for Analysis I

LV: 19202802

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2 SWS

Sven Tornquist

Marita Thomas

Practice seminar

Submod: 0084aA1.1.2

Akt: 07.10.2022 16:00

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

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

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

Thu, 16:00 - 18:00 (A3/SR 115)

Additional appointments

Appointment series

A7/SR 140 Seminarraum (Hinterhaus)

Sven Tornquist

Marita Thomas

einmal, ab 19.10.2022, 12:00 - 14:00 (16 Termine)

A7/SR 140 Seminarraum (Hinterhaus)

Sven Tornquist

Marita Thomas

einmal, ab 19.10.2022, 14:00 - 16:00 (16 Termine)

A6/SR 009 Seminarraum

Sven Tornquist

Marita Thomas

einmal, ab 19.10.2022, 14:00 - 16:00 (16 Termine)

A3/SR 115

Sven Tornquist

Marita Thomas

einmal, ab 20.10.2022, 16:00 - 18:00 (16 Termine)

Module: Analysis II (0084dA1.2)

Analysis II

LV: 19211601

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4 SWS

Claudia Schillings

Lecture

Submod: 0084cA1.2.1

Akt: 28.02.2023 09:51

Thu, 10:00 - 12:00 (T9/SR 005 Übungsraum)

Tue, 10:00 - 12:00 (T9/SR 005 Übungsraum)

Description

Content

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

References

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

Additional appointments

Klausur

T9/Gr. Hörsaal

Claudia Schillings

14.04.2023 10:00 - 12:00

Appointment series

T9/SR 005 Übungsraum

Claudia Schillings

einmal, ab 20.10.2022, 10:00 - 12:00 (16 Termine)

T9/SR 005 Übungsraum

Claudia Schillings

einmal, ab 18.10.2022, 10:00 - 12:00 (16 Termine)

Practice seminar for Analysis II

LV: 19211602

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2 SWS

Claudia Schillings

Practice seminar

Submod: 0084cA1.2.2

Akt: 28.10.2022 14:00

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

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

Module: Analysis III (0084dA1.3)

Analysis III

LV: 19201301

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4 SWS

Dirk Werner

Lecture

Submod: 0084aA1.3.1

Akt: 08.02.2023 14:00

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

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

Description

The lecture Analysis III is the final lecture of the cycle Analysis I-III.

^{Differentiation and integration in Rn},
extremes with and without constraints,
integration on surfaces,
the integrals of Gauss and Stokes and much more are discussed.

These basics are indispensable for a successful study of mathematics.

References

Literatur

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

und für geschichtlich Interessierte:

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

Additional appointments

Klausur

A6/SR 031 Seminarraum

T9/Gr. Hörsaal

Dirk Werner

21.02.2023 10:00 - 12:00

Nachklausur

A6/SR 031 Seminarraum

Dirk Werner

18.04.2023 18:00 - 20:00

Appointment series

A6/SR 031 Seminarraum

Dirk Werner

einmal, ab 18.10.2022, 10:00 - 12:00 (16 Termine)

A6/SR 031 Seminarraum

Dirk Werner

einmal, ab 20.10.2022, 10:00 - 12:00 (16 Termine)

Practice seminar for Analysis III

LV: 19201302

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2 SWS

Dirk Werner

Practice seminar

Submod: 0084aA1.3.2

Akt: 21.09.2022 09:34

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

Module: Linear Algebra I (0084dA1.4)

Linear Algebra I

LV: 19201401

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4 SWS

Karin Schaller

Lecture

Submod: 0084aA2.1.1

Akt: 06.04.2023 14:52

Mon, 16:00 - 18:00 (A3/SR 120)

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

Mon, 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;
Bartel Leendert van der Waerden, Algebra Volume I, 9th Edition, Springer 1993;

Zu den Grundlagen

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

Additional appointments

Lineare Algebra I

T9/SR 006 Seminarraum

Karin Schaller

08.02.2023 14:00 - 16:00

Lineare Algebra I

HFB/B Hörsaal

Karin Schaller

15.02.2023 08:00 - 11:00

Lineare Algebra I

A3/SR 120

Karin Schaller

21.02.2023 10:00 - 16:00

Lineare Algebra I

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

Karin Schaller

05.04.2023 10:00 - 13:00

Lineare Algebra I (WS22/23) - Nachklausureinsicht

A3/SR 120

Karin Schaller

27.04.2023 12:00 - 13:30

Appointment series

A3/SR 120

Karin Schaller

einmal, ab 31.10.2022, 16:00 - 18:00 (15 Termine)

A3/Hs 001 Hörsaal

Karin Schaller

einmal, ab 19.10.2022, 08:00 - 10:00 (16 Termine)

A3/Hs 001 Hörsaal

Karin Schaller

einmal, ab 17.10.2022, 08:00 - 10:00 (16 Termine)

Practice seminar for Linear Algebra I

LV: 19201402

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2 SWS

Karin Schaller

Practice seminar

Submod: 0084aA2.1.2

Akt: 07.11.2022 13:48

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

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

Mon, 12:00 - 14:00 (A3/SR 120)

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

Additional appointments

Übung zu Lineare Algebra I

A6/SR 025/026 Seminarraum

Karin Schaller

14.11.2022 08:00 - 10:00

Appointment series

A3/019 Seminarraum

Karin Schaller

einmal, ab 21.10.2022, 14:00 - 16:00 (16 Termine)

A6/SR 025/026 Seminarraum

Karin Schaller

einmal, ab 17.10.2022, 12:00 - 14:00 (16 Termine)

A3/SR 120

Karin Schaller

einmal, ab 17.10.2022, 12:00 - 14:00 (16 Termine)

A3/019 Seminarraum

Karin Schaller

einmal, ab 17.10.2022, 10:00 - 12:00 (16 Termine)

Module: Linear Algebra II (0084dA1.5)

Linear Algebra II

LV: 19211701

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4 SWS

Pavle Blagojevic

Lecture

Submod: 0084cA1.5.1

Akt: 23.03.2023 16:00

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

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

Wed, 12:00 - 14:00 (1.3.14 Hörsaal A)

Description

Contents:

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

Prerequisites:
Linear Algebra I
Literature:

Will be mentioned in the lecture.

Additional information

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

Additional appointments

Appointment series

A3/Hs 001 Hörsaal

Pavle Blagojevic

einmal, ab 21.10.2022, 08:00 - 10:00 (16 Termine)

A3/Hs 001 Hörsaal

Pavle Blagojevic

einmal, ab 19.10.2022, 12:00 - 14:00 (16 Termine)

1.3.14 Hörsaal A

Pavle Blagojevic

einmal, ab 15.03.2023, 12:00 - 14:00 (5 Termine)

Practice seminar for Linear Algebra II

LV: 19211702

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2 SWS

Pavle Blagojevic

Practice seminar

Submod: 0084cA1.5.2

Akt: 21.09.2022 09:35

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

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

Fri, 14:00 - 16:00 (A3/SR 120)

Thu, 08:00 - 10:00 (A3/SR 120)

Additional appointments

Appointment series

A3/SR 119

Pavle Blagojevic

einmal, ab 20.10.2022, 16:00 - 18:00 (16 Termine)

A6/SR 032 Seminarraum

Pavle Blagojevic

einmal, ab 21.10.2022, 10:00 - 12:00 (16 Termine)

A3/SR 120

Pavle Blagojevic

einmal, ab 21.10.2022, 14:00 - 16:00 (16 Termine)

A3/SR 120

Pavle Blagojevic

einmal, ab 20.10.2022, 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

Andreas Bittracher

Lecture

Submod: 0084aA3.1.1

Akt: 15.03.2023 16:44

Fri, 12:00 - 14:00 (T9/Gr. Hörsaal)

Description

Homepage: All current information on lectures and lectures

References

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

Additional appointments

Klausur

Hs 2 Hörsaal

Christof Schütte

Andreas Bittracher

24.02.2023 12:00 - 14:00

Klausureinsicht Computerorientierte Mathematik I (5 LP)

T9/049 Seminarraum

Christof Schütte

Andreas Bittracher

06.03.2023 10:00 - 12:00

Nachklausur

T9/Gr. Hörsaal

Christof Schütte

Andreas Bittracher

27.03.2023 10:00 - 12:00

Appointment series

T9/Gr. Hörsaal

Christof Schütte

Andreas Bittracher

einmal, ab 21.10.2022, 12:00 - 14:00 (16 Termine)

Practice seminar for Computerorientated Mathematics I (5 LP)

LV: 19200502

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2 SWS

Christof Schütte

Practice seminar

Submod: 0084aA3.1.2

Akt: 07.10.2022 12:00

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

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

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

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

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

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

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

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

Additional appointments

Appointment series

A6/SR 025/026 Seminarraum

Christof Schütte

einmal, ab 19.10.2022, 12:00 - 14:00 (16 Termine)

A3/019 Seminarraum

Christof Schütte

einmal, ab 17.10.2022, 12:00 - 14:00 (16 Termine)

A3/SR 119

Christof Schütte

einmal, ab 20.10.2022, 08:00 - 10:00 (16 Termine)

A3/ 024 Seminarraum

Christof Schütte

einmal, ab 19.10.2022, 12:00 - 14:00 (16 Termine)

A3/019 Seminarraum

Christof Schütte

einmal, ab 19.10.2022, 10:00 - 12:00 (16 Termine)

A3/SR 119

Christof Schütte

einmal, ab 19.10.2022, 14:00 - 16:00 (16 Termine)

T9/055 Seminarraum

Christof Schütte

einmal, ab 20.10.2022, 08:00 - 10:00 (16 Termine)

T9/051 Seminarraum

Christof Schütte

einmal, ab 18.10.2022, 08:00 - 10:00 (16 Termine)

Module: Stochastics I (0084dA1.8)

Stochastics I

LV: 19200601

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4 SWS

Immanuel Zachhuber

Nicolas Perkowski

Lecture

Submod: 0084bA4.2.1

Akt: 23.01.2023 10:39

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

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

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
Datenanalyse und deskriptive Statistik: Histogramme; empirische Verteilung; Kenngrößen von Stichprobenverteilungen; Beispiele irreführender deskriptiver Statistiken; lineare Regression
Elementare Begriffe und Techniken des Testens und Schätzens: Maximum-Likelihood-Prinzip; Konfidenzintervalle; Hypothesentests; Fehler erster und zweiter Art

References

Literatur:

E. Behrends: Elementare Stochastik, Springer, 2013
H.-O. Georgii: Stochastik: Einführung in die Wahrscheinlichkeitstheorie und Statistik, De Gruyter, 2007
U. Krengel: Einführung in die Wahrscheinlichkeitstheorie und Statistik, Vieweg, 2005
D. Meintrup, S. Schäffler, Stochastik: Theorie und Anwendungen, Springer, 2005.
Die meisten der oben aufgeführten Bücher gibt es online über die UB.

Additional information

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

Additional appointments

Klausur

A6/SR 032 Seminarraum

Immanuel Zachhuber

Nicolas Perkowski

13.02.2023 14:00 - 16:00

Nachklausur

A6/SR 031 Seminarraum

Immanuel Zachhuber

Nicolas Perkowski

12.04.2023 10:00 - 12:00

Appointment series

A6/SR 031 Seminarraum

Immanuel Zachhuber

Nicolas Perkowski

einmal, ab 19.10.2022, 08:00 - 10:00 (16 Termine)

A6/SR 032 Seminarraum

Immanuel Zachhuber

Nicolas Perkowski

einmal, ab 17.10.2022, 14:00 - 16:00 (16 Termine)

Tutorial: Stochastics I

LV: 19200602

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2 SWS

Nicolas Perkowski

Lukas Gräfner

Immanuel Zachhuber

Practice seminar

Submod: 0084bA4.2.2

Akt: 26.10.2022 14:00

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

Wed, 10:00 - 12:00 (Virtueller Raum 02)

Wed, 12:00 - 14:00 (A3/SR 120)

Additional appointments

Appointment series

A7/SR 140 Seminarraum (Hinterhaus)

Nicolas Perkowski

Lukas Gräfner

Immanuel Zachhuber

einmal, ab 17.10.2022, 12:00 - 14:00 (16 Termine)

Virtueller Raum 02

Nicolas Perkowski

Lukas Gräfner

Immanuel Zachhuber

einmal, ab 26.10.2022, 10:00 - 12:00 (17 Termine)

A3/SR 120

Nicolas Perkowski

Lukas Gräfner

Immanuel Zachhuber

einmal, ab 26.10.2022, 12:00 - 14:00 (17 Termine)

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

Lecture

Submod: 0084bC3.1.1

Akt: 08.12.2022 11:59

Tue, 10:00 - 12:00 (A3/ 024 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
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 (Klausur 1)

T9/Gr. Hörsaal

Christian Haase

27.02.2023 12:00 - 14:00

Diskrete Geometrie I (Klausur 2)

T9/Gr. Hörsaal

Christian Haase

27.03.2023 12:00 - 14:00

Appointment series

A3/ 024 Seminarraum

Christian Haase

einmal, ab 18.10.2022, 10:00 - 12:00 (16 Termine)

A6/SR 032 Seminarraum

Christian Haase

einmal, ab 19.10.2022, 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: 19.10.2022 10:00

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

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: 28.02.2023 09:51

Description

Content

? 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.

Additional appointments

Klausur

T9/Gr. Hörsaal

Klaus Altmann

20.02.2023 12:00 - 14:00

Klausureinsicht Basismodul: Algebra I

A6/SR 032 Seminarraum

Klaus Altmann

02.03.2023 11:00 - 13:00

Nachklausur

T9/Gr. Hörsaal

Klaus Altmann

03.04.2023 12:00 - 14:00

Appointment series

Practice seminar for Basic Module: Algebra I

LV: 19202502

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2 SWS

Christian Haase

Practice seminar

Submod: 0084aC1.1.2

Akt: 18.10.2022 14:00

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

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

Basic Module: Numerics II

LV: 19202101

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4 SWS

Volker John

Lecture

Submod: 0084bC5.1.1

Akt: 21.09.2022 09:29

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

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

Description

Homepage of the course: http://www.wias-berlin.de/people/john/LEHRE/lehre.htm

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)

Additional appointments

Appointment series

A3/ 024 Seminarraum

Volker John

einmal, ab 17.10.2022, 10:00 - 12:00 (16 Termine)

A3/ 024 Seminarraum

Volker John

einmal, ab 17.10.2022, 14:00 - 16:00 (16 Termine)

Practice seminar for Basic Module: Numerics II

LV: 19202102

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2 SWS

Volker John

Practice seminar

Submod: 0084bC5.1.2

Akt: 17.03.2023 12:00

Wed, 16:00 - 18:00 (A3/SR 120)

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

Rupert Klein

Lecture

Submod: 0280aA4.3.1

Akt: 21.09.2022 09:32

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

Description

Content:

Mathematics plays a central role in the development and analysis of models for weather prediction and climate research. Controlled physical experiments are out of question, and 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 consequently no general solutions to problems in turbulent flows are available. Instead, scientists rely on conceptual models and statistical descriptions to understand the essence of daily weather and how that feeds back on climate behavior.

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

The course will cover a selection from the following topics

1. Conservation laws of geophysical fluid dynamics,

2. Systematic approximation via scale analysis and asymptotics,

3. Numerical methods for geophysical flow simulations,

4. Dynamical systems and bifurcation theory,

5. 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

A3/ 024 Seminarraum

Rupert Klein

einmal, ab 18.10.2022, 14:00 - 16:00 (16 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: 21.09.2022 09:35

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

Module: "Special Module ""Differential Geometry III""" (0280aA5.3)

Differential Geometry III

LV: 19205201

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2 SWS

Konrad Polthier

Eric Zimmermann

Lecture

Submod: 0280aA5.3.1

Akt: 01.11.2022 16:13

Tue, 10:00 - 12:00 (A3/SR 115)

Description

The lecture will introduce selected concepts from differential geometry and their role in solving current application problems.

The topics include curvature measures, geometric flows, minimal surfaces, harmonic mapping, parallel transport, branched coverings, as well as their discretization and implementation.
Practical problems come for example from the fields of geometric design, geometry processing, visualization, materials science, medicine, architecture.

Prerequisites: Differential geometry I

Additional appointments

Klausur DiffGeo III

A6/SR 032 Seminarraum

Konrad Polthier

Eric Zimmermann

24.02.2023 10:00 - 12:00

Nachklausur DiffGeo III

A6/SR 032 Seminarraum

Konrad Polthier

Eric Zimmermann

30.03.2023 10:00 - 12:00

Appointment series

A3/SR 115

Konrad Polthier

Eric Zimmermann

einmal, ab 18.10.2022, 10:00 - 12:00 (16 Termine)

Practice seminar for Differential Geometry III

LV: 19205202

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2 SWS

Eric Zimmermann

Practice seminar

Submod: 0280aA5.3.2

Akt: 26.09.2022 22:00

Fri, 10:00 - 12:00 (A3/SR 115)

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

Basic Module: Topology II

LV: 19206201

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4 SWS

Holger Reich

Lecture

Submod: 0280aA6.2.1

Akt: 21.09.2022 09:31

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

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

Description

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

Detailed Information can be found on the Homepage of the lecture.

References

Literatur

Hatcher, Allen: Algebraic Topology; Cambridge University Press.
Lück, Wolfgang: Algebraische Topologie, Homologie und Mannigfaltigkeiten; Vieweg.

Additional appointments

Appointment series

A6/SR 025/026 Seminarraum

Holger Reich

einmal, ab 20.10.2022, 10:00 - 12:00 (16 Termine)

A6/SR 025/026 Seminarraum

Holger Reich

einmal, ab 18.10.2022, 12:00 - 14:00 (16 Termine)

Ex.: Basic Module: Topology II

LV: 19206202

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2 SWS

Holger Reich

Georg Lehner

Practice seminar

Submod: 0280aA6.2.2

Akt: 06.04.2023 12:00

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

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

Module: Aufbaumodul Differentialgeometrie III (0280bA1.3)

Differential Geometry III

LV: 19205201

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2 SWS

Konrad Polthier

Eric Zimmermann

Lecture

Submod: 0280aA5.3.1

Akt: 01.11.2022 16:13

Tue, 10:00 - 12:00 (A3/SR 115)

Description

Prerequisites: Differential geometry I

Additional appointments

Klausur DiffGeo III

A6/SR 032 Seminarraum

Konrad Polthier

Eric Zimmermann

24.02.2023 10:00 - 12:00

Nachklausur DiffGeo III

A6/SR 032 Seminarraum

Konrad Polthier

Eric Zimmermann

30.03.2023 10:00 - 12:00

Appointment series

A3/SR 115

Konrad Polthier

Eric Zimmermann

einmal, ab 18.10.2022, 10:00 - 12:00 (16 Termine)

Practice seminar for Differential Geometry III

LV: 19205202

a.SAP verarbeitet

2 SWS

Eric Zimmermann

Practice seminar

Submod: 0280aA5.3.2

Akt: 26.09.2022 22:00

Fri, 10:00 - 12:00 (A3/SR 115)

Module: Forschungsmodul Differentialgeometrie (0280bA1.4)

Research Module: Differential Geometrie

LV: 19214411

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2 SWS

Konrad Polthier

Henriette-Sophie Lipschütz

Seminar

Submod: 0280bA1.4.1

Akt: 21.09.2022 09:32

Tue, 14:00 - 16:00 (A3/SR 120)

Description

In this seminar, differential geometric topics will be independently developed based on current research and presented in the form of a talk.

Particular emphasis is placed on the concrete implementation of differential geometric concepts in application scenarios and the questions of discretization and implementation.

Learning objectives are a deeper understanding of differential geometry concepts, as well as problems and solution strategies in their practical use.

Previous knowledge: Differential geometry I

Additional appointments

Appointment series

A3/SR 120

Konrad Polthier

Henriette-Sophie Lipschütz

einmal, ab 18.10.2022, 14:00 - 16:00 (16 Termine)

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: 28.02.2023 09:51

Description

Content

? 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.

Additional appointments

Klausur

T9/Gr. Hörsaal

Klaus Altmann

20.02.2023 12:00 - 14:00

Klausureinsicht Basismodul: Algebra I

A6/SR 032 Seminarraum

Klaus Altmann

02.03.2023 11:00 - 13:00

Nachklausur

T9/Gr. Hörsaal

Klaus Altmann

03.04.2023 12:00 - 14:00

Appointment series

Practice seminar for Basic Module: Algebra I

LV: 19202502

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2 SWS

Christian Haase

Practice seminar

Submod: 0084aC1.1.2

Akt: 18.10.2022 14:00

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

Module: Aufbaumodul Algebra III (0280bA2.3)

Advanced Module: Algebra III

LV: 19222301

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2 SWS

Klaus Altmann

Lecture

Submod: 0280bA2.3.1

Akt: 14.03.2023 16:00

Wed, 16:00 - 18:00 (Hs A (Raum B.006, 200 Pl.))

References

G.R. Kempf: Algebraic varieties. London Mathematical Society Lecture Note
Series. 172. Cambridge: Cambridge University Press. 1993. x, 163 p.

A. Schmitt: Homological algebra, lecture notes.

J.L. Taylor: Several complex variables with connections to algebraic
geometry and Lie groups. Graduate Studies in Mathematics. 46. Providence,
RI: American Mathematical Society. 2002. xvi, 507 p.

Additional appointments

Pruefung Aufbaumodul: Algebra III

A3/SR 119

Klaus Altmann

20.02.2023 14:00 - 16:00

Pruefung // Ba-Verteidigung

A6/SR 032 Seminarraum

Klaus Altmann

28.02.2023 13:00 - 15:00

Appointment series

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

Klaus Altmann

einmal, ab 19.10.2022, 16:00 - 18:00 (16 Termine)

Practice seminar for Advanced Module: Algebra III

LV: 19222302

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2 SWS

Anna-Lena Winz

Practice seminar

Submod: 0280bA2.3.2

Akt: 30.03.2023 10:48

Wed, 10:00 - 12:00 (A3/SR 120)

Mon, 12:00 - 14:00 (1.3.14 Hörsaal A)

Additional appointments

Mündliche Prüfung

A3/SR 119

Anna-Lena Winz

20.02.2023 10:00 - 12:30

Prüfung Übung zu Aufbaumodul: Algebra III

A3/SR 119

Anna-Lena Winz

13.04.2023 11:00 - 12:00

Appointment series

A3/SR 120

Anna-Lena Winz

einmal, ab 26.10.2022, 10:00 - 12:00 (17 Termine)

1.3.14 Hörsaal A

Anna-Lena Winz

einmal, ab 24.10.2022, 12:00 - 14:00 (15 Termine)

Module: Forschungsmodul Algebra (0280bA2.4)

Reseach Module: Algebra

LV: 19214611

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2 SWS

Klaus Altmann

Seminar

Submod: 0280bA2.4.1

Akt: 20.02.2023 18:00

Mon, 16:00 - 18:00 (A3/SR 115)

Description

Literatur

Wird bekanntgegeben.

Additional information

Target group:

Math students

Prerequisites

Algebra I and II

Homepage: Prof. Altmann

Additional appointments

Appointment series

A3/SR 115

Klaus Altmann

einmal, ab 17.10.2022, 16:00 - 18:00 (16 Termine)

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

Discrete Mathematics II - Algorithmic Comb.

LV: 19205801

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4 SWS

Tibor Szabo

Lecture

Submod: 0280bA3.2.1

Akt: 07.03.2023 15:51

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

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

Description

Topics of the course

Algorithms and complexity (sorting, Dijkstra, TSP, approximation algorithms, matchings vs Hamiltonicity, P vs NP, certificates (Hall, Tutte), Hungarian algorithm, network flows and its applications (Menger, Baranyai), (list)-coloring, stable matching (Gale-Shapley Algorithm) and its application (Galvin))
Linear Programming (Simplex Algorithm), Duality and its applications in Combinatorics and Algorithms
Randomized algorithms (randomized matching algorithms, hypergraph-coloring, derandomization, Erdos-Selfridge Criterion, algorithmic Local Lemma)

References

L. Lovász, J. Pelikán, K. Vesztergombi, Discrete Mathematics
J. Matousek - B. Gaertner, Understanding and Using Linear Programming
D. West, Introduction to Graph Theory

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

Discrete Geometrie I

LV: 19202001

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4 SWS

Christian Haase

Lecture

Submod: 0084bC3.1.1

Akt: 08.12.2022 11:59

Tue, 10:00 - 12:00 (A3/ 024 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
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 (Klausur 1)

T9/Gr. Hörsaal

Christian Haase

27.02.2023 12:00 - 14:00

Diskrete Geometrie I (Klausur 2)

T9/Gr. Hörsaal

Christian Haase

27.03.2023 12:00 - 14:00

Appointment series

A3/ 024 Seminarraum

Christian Haase

einmal, ab 18.10.2022, 10:00 - 12:00 (16 Termine)

A6/SR 032 Seminarraum

Christian Haase

einmal, ab 19.10.2022, 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: 19.10.2022 10:00

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

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

Advanced Module: Discrete Geometry III

LV: 19205901

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2 SWS

Raman Sanyal

Florian Frick

Lecture

Submod: 0280bA3.6.1

Akt: 10.03.2023 10:00

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

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):

1. Oriented Matroids along the lines of the book Oriented Matroids by Björner, Las Vergnas, Sturmfels, White, and Ziegler; and/or

2. Triangulations along the lines of the book Triangulations by de Loera, Rambau, and Santos; and/or

3. Discriminants and tropical geometry along the lines of the book Discriminants, Resultants, and multidimensional determinants by Gelfand, Kapranov, and Zelevinsky; and/or

4. Combinatorics and commutative algebra along the lines of the book Combinatorics and commutative algebra by Stanley.

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

A7/SR 140 Seminarraum (Hinterhaus)

Raman Sanyal

Florian Frick

einmal, ab 20.10.2022, 10:00 - 12:00 (16 Termine)

Practice seminar for Advanced Module: Discrete Geometry III

LV: 19205902

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2 SWS

Raman Sanyal

Practice seminar

Submod: 0280bA3.6.2

Akt: 10.03.2023 10:00

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

Module: Basismodul Topologie II (0280bA4.2)

Basic Module: Topology II

LV: 19206201

a.SAP verarbeitet

4 SWS

Holger Reich

Lecture

Submod: 0280aA6.2.1

Akt: 21.09.2022 09:31

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

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

Description

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

Detailed Information can be found on the Homepage of the lecture.

References

Literatur

Hatcher, Allen: Algebraic Topology; Cambridge University Press.
Lück, Wolfgang: Algebraische Topologie, Homologie und Mannigfaltigkeiten; Vieweg.

Additional appointments

Appointment series

A6/SR 025/026 Seminarraum

Holger Reich

einmal, ab 20.10.2022, 10:00 - 12:00 (16 Termine)

A6/SR 025/026 Seminarraum

Holger Reich

einmal, ab 18.10.2022, 12:00 - 14:00 (16 Termine)

Ex.: Basic Module: Topology II

LV: 19206202

a.SAP verarbeitet

2 SWS

Holger Reich

Georg Lehner

Practice seminar

Submod: 0280aA6.2.2

Akt: 06.04.2023 12:00

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

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

Basic Module: Numerics II

LV: 19202101

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4 SWS

Volker John

Lecture

Submod: 0084bC5.1.1

Akt: 21.09.2022 09:29

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

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

Description

Homepage of the course: http://www.wias-berlin.de/people/john/LEHRE/lehre.htm

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)

Additional appointments

Appointment series

A3/ 024 Seminarraum

Volker John

einmal, ab 17.10.2022, 10:00 - 12:00 (16 Termine)

A3/ 024 Seminarraum

Volker John

einmal, ab 17.10.2022, 14:00 - 16:00 (16 Termine)

Practice seminar for Basic Module: Numerics II

LV: 19202102

a.SAP verarbeitet

2 SWS

Volker John

Practice seminar

Submod: 0084bC5.1.2

Akt: 17.03.2023 12:00

Wed, 16:00 - 18:00 (A3/SR 120)

Module: Aufbaumodul Numerik IV (0280bA5.3)

Advanced Module: Numerics IV

LV: 19206401

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2 SWS

Ana Djurdjevac

Lecture

Submod: 0280bA5.3.1

Akt: 21.09.2022 09:31

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

Description

We will study Galerkin methods and its modifications for numerical discretization of parabolic PDEs. We will investigate the error estimates first for the semi-discrete problem that results from discretization in the spatial variables and then the fully discrete schemes, such as Euler and Crank-Nicolson methods. In particular, the application of semigroup theory to stability and error estimates will be demonstrated. For this reason, the survey of analytic semigroup theory will be presented. This theory will be applied in deriving maximum-norm estimates. Furthermore, the method of lumped masses will be introduced, which can be seen as a modification of the Galerkin method. We will also consider the application of the Galerkin method in the time variable, which results in the so-called discontiunous Galerkin method.

References

Thomée, Vidar. Galerkin finite element methods for parabolic problems, Vol. 25. Springer Science & Business Media, 2007
S. Larsson. Semilinear parabolic partial differential equations - theory,approximation, and application, New Trends in the Mathematical and Computer Sciences (G. O. S. Ekhaguere, C. K. Ayo, and M. B.Olorunsaiye, eds.), Proceedings of an international workshop at Covenant University,Ota, Nigeria, June 18-23, 2006, Publications of the ICMCS, vol. 3, 2006, pp. 153-194
A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag, Applied Math. Sciences, Vol. 44, 1983

Additional information

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

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

Homepage: More Information can be found on the Homepage

Additional appointments

Appointment series

A6/SR 009 Seminarraum

Ana Djurdjevac

einmal, ab 17.10.2022, 14:00 - 16:00 (16 Termine)

Practice seminar for Advanced Module: Numerics IV

LV: 19206402

a.SAP verarbeitet

2 SWS

Ana Djurdjevac

Practice seminar

Submod: 0280bA5.3.2

Akt: 21.09.2022 09:35

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

Mathematical Modelling in Climate Research

LV: 19215301

a.SAP verarbeitet

2 SWS

Rupert Klein

Lecture

Submod: 0280aA4.3.1

Akt: 21.09.2022 09:32

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

Description

Content:

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

The course will cover a selection from the following topics

1. Conservation laws of geophysical fluid dynamics,

2. Systematic approximation via scale analysis and asymptotics,

3. Numerical methods for geophysical flow simulations,

4. Dynamical systems and bifurcation theory,

5. 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

A3/ 024 Seminarraum

Rupert Klein

einmal, ab 18.10.2022, 14:00 - 16:00 (16 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: 21.09.2022 09:35

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

Uncertainty Quantification and quasi-Monte Carlo

LV: 19223901

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2 SWS

Claudia Schillings

Lecture

Submod: 0280bA5.3.1

Akt: 21.09.2022 09:32

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

References

The following books will be relevant:

O. P. Le Maître and O. M. Knio. Spectral Methods for Uncertainty Quantification: With Applications to Computational Fluid Dynamics. Scientific Computation. Springer, New York, 2010.
R. C. Smith. Uncertainty Quantification: Theory, Implementation, and Applications, volume 12 of Computational Science & Engineering. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2014.
T. J. Sullivan. Introduction to Uncertainty Quantification. Springer, New York, in press.
D. Xiu. Numerical Methods for Stochastic Computations: A Spectral Method Approach. Princeton University Press, Princeton, NJ, 2010.

Additional appointments

Appointment series

A6/SR 009 Seminarraum

Claudia Schillings

einmal, ab 17.10.2022, 12:00 - 14:00 (16 Termine)

Übung zu UQ and QMC

LV: 19223902

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2 SWS

No lecturers

Practice seminar

Submod: 0280bA5.3.2

Akt: 21.09.2022 09:35

Tue, 12:00 - 14:00 (A3/SR 115)

Module: Forschungsmodul Numerische Mathematik (0280bA5.4)

Geometric and Surface PDEs

LV: 19247211

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2 SWS

Ana Djurdjevac

Seminar

Submod: 0084dB1.1.1

Akt: 04.11.2022 16:00

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

Description

References

Additional information

Basic knowledge on PDEs and their numerical solution using finite element method (Num 3) is desired.

Additional appointments

Appointment series

A6/SR 009 Seminarraum

Ana Djurdjevac

einmal, ab 19.10.2022, 16:00 - 18:00 (16 Termine)

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: 28.02.2023 09:51

Description

Content

? 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.

Additional appointments

Klausur

T9/Gr. Hörsaal

Klaus Altmann

20.02.2023 12:00 - 14:00

Klausureinsicht Basismodul: Algebra I

A6/SR 032 Seminarraum

Klaus Altmann

02.03.2023 11:00 - 13:00

Nachklausur

T9/Gr. Hörsaal

Klaus Altmann

03.04.2023 12:00 - 14:00

Appointment series

Practice seminar for Basic Module: Algebra I

LV: 19202502

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2 SWS

Christian Haase

Practice seminar

Submod: 0084aC1.1.2

Akt: 18.10.2022 14:00

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

Discrete Mathematics II - Algorithmic Comb.

LV: 19205801

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4 SWS

Tibor Szabo

Lecture

Submod: 0280bA3.2.1

Akt: 07.03.2023 15:51

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

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

Description

Topics of the course

Algorithms and complexity (sorting, Dijkstra, TSP, approximation algorithms, matchings vs Hamiltonicity, P vs NP, certificates (Hall, Tutte), Hungarian algorithm, network flows and its applications (Menger, Baranyai), (list)-coloring, stable matching (Gale-Shapley Algorithm) and its application (Galvin))
Linear Programming (Simplex Algorithm), Duality and its applications in Combinatorics and Algorithms
Randomized algorithms (randomized matching algorithms, hypergraph-coloring, derandomization, Erdos-Selfridge Criterion, algorithmic Local Lemma)

References

L. Lovász, J. Pelikán, K. Vesztergombi, Discrete Mathematics
J. Matousek - B. Gaertner, Understanding and Using Linear Programming
D. West, Introduction to Graph Theory

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

A6/SR 007/008 Seminarraum

Luigi Delle Site

einmal, ab 17.10.2022, 08:00 - 12:00 (16 Termine)

A6/SR 007/008 Seminarraum

Luigi Delle Site

einmal, ab 19.10.2022, 08:00 - 12:00 (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: 21.09.2022 09:35

Thu, 08:00 - 10:00 (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: 21.09.2022 09:25

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

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

Description

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

References

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

Weitere noch zu bestimmende Literatur und Primärquellen.

Additional information

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

Additional appointments

Appointment series

A7/SR 031

Volker Roth

einmal, ab 20.10.2022, 12:00 - 14:00 (16 Termine)

A7/SR 031

Volker Roth

einmal, ab 19.10.2022, 14:00 - 16:00 (16 Termine)

Practice seminar for Cryptography and Security in Distributed Systems

LV: 19303602

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2 SWS

Volker Roth

Practice seminar

Submod: 0084bC3.6.2

Akt: 10.10.2022 12:00

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

Module: Ergänzungsmodul Ausgewählte Forschungsthemen (0280bA7.2)

Equivariant Topological Combinatorics

LV: 19222701

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2 SWS

Pavle Blagojevic

Lecture

Submod: 0280bA7.2.1

Akt: 21.09.2022 09:32

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

Übung zu Equivariant Topological Combinatorics

LV: 19222702

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2 SWS

Pavle Blagojevic

Practice seminar

Submod: 0280bA7.2.2

Akt: 21.09.2022 09:35

Fri, 12:00 - 14:00 (A3/SR 115)

Stochastik IV: Stochastik and Diffusive Processes: theory and numerical applications

LV: 19242101

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2 SWS

Luca Donati

Lecture

Submod: 0280bA7.2.1

Akt: 17.10.2022 16:00

Tue, 12:00 - 14:00 (1.3.14 Hörsaal A)