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

Klaus Ecker

Lecture

Submod: 0084aA1.1.1

Akt: 29.06.2020 14:05

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

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

Description

Grundlagen, Elementare Logik, Geordnete Paare, Relationen, Funktionen, Definitionsbereich und Wertebereich einer Funktion. Umkehrfunktion (Injektivität, Surjektivität).
Zahlen. Vollständige Induktion. Rechnen in R, C.
Anordnung von R. Maximum und Minimum, Supremum und Infimum reeller Mengen. Supremums/Infimums-Vollständigkeit von R. Betrag einer reellen Zahl. Q ist dicht in R.
Folgen und Reihen. Grenzwerte, Cauchyfolgen. Konvergenzkriterien. Reihen und grundlegende Konvergenzprinzipien.
Topologische Aspekte von R. Offene, abgeschlossene und kompakte reelle Mengen.
Funktionenfolgen, Funktionenreihen, Potenzreihen.
Eigenschaften von Funktionen. Beschränktheit, Monotonie. Konvexität.
Stetigkeit. Grenzwerte und Stetigkeit von Funktionen. Gleichmäßige Stetigkeit. Zwischenwertsätze. Stetigkeit und Kompaktheit.
Differenzierbarkeit. Begriff der Ableitung. Differentiationsregeln. Mittelwertsätze. Lokale und globale Extrema. Krümmung. Monotonie. Konvexität.
Elementare Funktionen. Rationale Funktionen. Wurzelfunktionen. Exponentialfunktionen. Winkelfunktionen, Hyperbolische Funktionen. Reeller Logarithmus. Reelle Arcus-Funktionen. Kurvendiskussionen.
Anfänge der Integralrechnung

References

Spivak: Calculus
Abott: Understanding Analysis
Forster: Analysis I
Hildebrandt: Analysis I

Additional appointments

Nachklausur

Speisesaal Mensa II

Virtueller Raum 03

Klaus Ecker

02.07.2020 13:00 - 15:00

Appointment series

A3/Hs 001 Hörsaal

Klaus Ecker

einmal, ab 17.10.2019, 10:00 - 12:00 (16 Termine)

A3/Hs 001 Hörsaal

Klaus Ecker

einmal, ab 15.10.2019, 10:00 - 12:00 (16 Termine)

Practice seminar for Analysis I

LV: 19202802

a.SAP verarbeitet

2 SWS

Klaus Ecker

Practice seminar

Submod: 0084aA1.1.2

Akt: 29.10.2019 14:00

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

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

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

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

Additional appointments

Appointment series

A6/SR 009 Seminarraum

Klaus Ecker

einmal, ab 16.10.2019, 10:00 - 12:00 (16 Termine)

A6/SR 025/026 Seminarraum

Klaus Ecker

einmal, ab 16.10.2019, 10:00 - 12:00 (16 Termine)

KöLu24-26/SR 006 Neuro/Mathe

Klaus Ecker

einmal, ab 16.10.2019, 14:00 - 16:00 (16 Termine)

A3/SR 130 Seminarraum (Hinterhaus)

Klaus Ecker

einmal, ab 16.10.2019, 12:00 - 14:00 (16 Termine)

Module: Analysis III (0084aA1.3)

Analysis III

LV: 19201301

a.SAP verarbeitet

4 SWS

Péter Koltai

Lecture

Submod: 0084aA1.3.1

Akt: 30.06.2020 12:00

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

Wed, 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

Analysis III

A6/SR 007/008 Seminarraum

Péter Koltai

06.02.2020 16:00 - 17:00

Klausur

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

Péter Koltai

19.02.2020 10:00 - 12:00

Nachklausur

A3/Hs 001 Hörsaal

Péter Koltai

31.08.2020 13:30 - 15:30

Appointment series

A6/SR 031 Seminarraum

Péter Koltai

einmal, ab 17.10.2019, 10:00 - 12:00 (16 Termine)

A6/SR 031 Seminarraum

Péter Koltai

einmal, ab 16.10.2019, 10:00 - 12:00 (16 Termine)

Practice seminar for Analysis III

LV: 19201302

a.SAP verarbeitet

2 SWS

Robert Malte Polzin

Luzie Helfmann

Péter Koltai

Practice seminar

Submod: 0084aA1.3.2

Akt: 11.05.2020 14:00

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

Wed, 08:00 - 10:00 (A3/ 024 Seminarraum )

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

Additional appointments

Robert Malte Polzin

Luzie Helfmann

Péter Koltai

30.10.2019 12:00 - 14:00

Appointment series

A6/SR 009 Seminarraum

Robert Malte Polzin

Luzie Helfmann

Péter Koltai

einmal, ab 15.10.2019, 12:00 - 14:00 (16 Termine)

A3/ 024 Seminarraum

Robert Malte Polzin

Luzie Helfmann

Péter Koltai

einmal, ab 16.10.2019, 08:00 - 10:00 (16 Termine)

A6/SR 009 Seminarraum

Robert Malte Polzin

Luzie Helfmann

Péter Koltai

einmal, ab 16.10.2019, 12:00 - 14:00 (16 Termine)

Module: Linear Algebra I (0084aA2.1)

Linear Algebra I

LV: 19201401

a.SAP verarbeitet

4 SWS

Rainer Sinn

Lecture

Submod: 0084aA2.1.1

Akt: 03.02.2020 16:00

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

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

Additional appointments

Klausur

Hs 1a Hörsaal

Rainer Sinn

21.02.2020 09:00 - 12:00

Klausur

Hs 1a Hörsaal

Rainer Sinn

21.02.2020 12:00 - 13:00

Nachklausur

HFB/A Hörsaal

Rainer Sinn

03.04.2020 09:00 - 13:00

Appointment series

A3/Hs 001 Hörsaal

Rainer Sinn

einmal, ab 16.10.2019, 08:00 - 10:00 (16 Termine)

A3/Hs 001 Hörsaal

Rainer Sinn

einmal, ab 14.10.2019, 08:00 - 10:00 (16 Termine)

Practice seminar for Linear Algebra I

LV: 19201402

a.SAP verarbeitet

2 SWS

Rainer Sinn

Practice seminar

Submod: 0084aA2.1.2

Akt: 29.10.2019 14:00

Thu, 14:00 - 16:00 ()

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

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

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

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

Additional appointments

Appointment series

Rainer Sinn

einmal, ab 24.10.2019, 14:00 - 16:00 (15 Termine)

A7/SR 031

Rainer Sinn

einmal, ab 17.10.2019, 10:00 - 12:00 (16 Termine)

A3/SR 119

Rainer Sinn

einmal, ab 23.10.2019, 10:00 - 12:00 (15 Termine)

A3/019 Seminarraum

Rainer Sinn

einmal, ab 14.10.2019, 14:00 - 16:00 (16 Termine)

A6/SR 032 Seminarraum

Rainer Sinn

einmal, ab 16.10.2019, 12:00 - 14:00 (16 Termine)

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

Computerorientated Mathematics I (5 LP)

LV: 19200501

a.SAP verarbeitet

2 SWS

Carsten Gräser

Lecture

Submod: 0084aA3.1.1

Akt: 19.02.2020 15:40

Fri, 12:00 - 14:00 (Gr. Hörsaal (Raum B.001))

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

Nachklausur

HFB/A Hörsaal

Carsten Gräser

01.04.2020 10:00 - 12:00

Appointment series

Gr. Hörsaal (Raum B.001)

Carsten Gräser

einmal, ab 18.10.2019, 12:00 - 14:00 (15 Termine)

Practice seminar for Computerorientated Mathematics I (5 LP)

LV: 19200502

a.SAP verarbeitet

2 SWS

Carsten Gräser

Lasse Hinrichsen-Bischoff

Practice seminar

Submod: 0084aA3.1.2

Akt: 07.10.2019 16:00

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

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

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

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

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

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

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

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

Additional appointments

Appointment series

A3/ 024 Seminarraum

Carsten Gräser

Lasse Hinrichsen-Bischoff

einmal, ab 17.10.2019, 16:00 - 18:00 (16 Termine)

A3/ 024 Seminarraum

Carsten Gräser

Lasse Hinrichsen-Bischoff

einmal, ab 14.10.2019, 14:00 - 16:00 (16 Termine)

A6/SR 025/026 Seminarraum

Carsten Gräser

Lasse Hinrichsen-Bischoff

einmal, ab 15.10.2019, 12:00 - 14:00 (16 Termine)

T9/049 Seminarraum

Carsten Gräser

Lasse Hinrichsen-Bischoff

einmal, ab 18.10.2019, 14:00 - 16:00 (16 Termine)

A3/ 024 Seminarraum

Carsten Gräser

Lasse Hinrichsen-Bischoff

einmal, ab 16.10.2019, 16:00 - 18:00 (16 Termine)

A3/019 Seminarraum

Carsten Gräser

Lasse Hinrichsen-Bischoff

einmal, ab 14.10.2019, 10:00 - 12:00 (16 Termine)

A3/019 Seminarraum

Carsten Gräser

Lasse Hinrichsen-Bischoff

einmal, ab 14.10.2019, 16:00 - 18:00 (16 Termine)

A3/019 Seminarraum

Carsten Gräser

Lasse Hinrichsen-Bischoff

einmal, ab 18.10.2019, 08:00 - 10:00 (16 Termine)

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

Basic Module: Algebra I

LV: 19202501

a.SAP verarbeitet

4 SWS

Alexandru Constantinescu

Lecture

Submod: 0084aC1.1.1

Akt: 24.06.2020 14:28

Mon, 10:00 - 14:00 (A6/SR 032 Seminarraum)

Description

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

Affine algebraic varieties
Rings, ideals, and modules
Noetherian rings
Local rings and localization
Primary decompositione
Finite and integral extensions
Dimension theory
Regular rings

Target Group
Students with the prerequisites mentioned below.

Prerequisites

Linear Algebra I+II
Algebra and Number Theory

Literature

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

Homepage: Prof. Altmann

Additional appointments

Klausur

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

Alexandru Constantinescu

12.02.2020 12:00 - 14:00

Nachklausur (Klausur findet im L 115 Seminarzentrum statt)

L 115 Seminarzentrum

Alexandru Constantinescu

30.06.2020 09:00 - 11:00

Appointment series

A6/SR 032 Seminarraum

Alexandru Constantinescu

einmal, ab 14.10.2019, 10:00 - 14:00 (16 Termine)

Practice seminar for Basic Module: Algebra I

LV: 19202502

a.SAP verarbeitet

2 SWS

Alexandru Constantinescu

Practice seminar

Submod: 0084aC1.1.2

Akt: 14.10.2019 18:00

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

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

Klaus Ecker

Lecture

Submod: 0084aA1.1.1

Akt: 29.06.2020 14:05

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

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

Description

Grundlagen, Elementare Logik, Geordnete Paare, Relationen, Funktionen, Definitionsbereich und Wertebereich einer Funktion. Umkehrfunktion (Injektivität, Surjektivität).
Zahlen. Vollständige Induktion. Rechnen in R, C.
Anordnung von R. Maximum und Minimum, Supremum und Infimum reeller Mengen. Supremums/Infimums-Vollständigkeit von R. Betrag einer reellen Zahl. Q ist dicht in R.
Folgen und Reihen. Grenzwerte, Cauchyfolgen. Konvergenzkriterien. Reihen und grundlegende Konvergenzprinzipien.
Topologische Aspekte von R. Offene, abgeschlossene und kompakte reelle Mengen.
Funktionenfolgen, Funktionenreihen, Potenzreihen.
Eigenschaften von Funktionen. Beschränktheit, Monotonie. Konvexität.
Stetigkeit. Grenzwerte und Stetigkeit von Funktionen. Gleichmäßige Stetigkeit. Zwischenwertsätze. Stetigkeit und Kompaktheit.
Differenzierbarkeit. Begriff der Ableitung. Differentiationsregeln. Mittelwertsätze. Lokale und globale Extrema. Krümmung. Monotonie. Konvexität.
Elementare Funktionen. Rationale Funktionen. Wurzelfunktionen. Exponentialfunktionen. Winkelfunktionen, Hyperbolische Funktionen. Reeller Logarithmus. Reelle Arcus-Funktionen. Kurvendiskussionen.
Anfänge der Integralrechnung

References

Spivak: Calculus
Abott: Understanding Analysis
Forster: Analysis I
Hildebrandt: Analysis I

Additional appointments

Nachklausur

Speisesaal Mensa II

Virtueller Raum 03

Klaus Ecker

02.07.2020 13:00 - 15:00

Appointment series

A3/Hs 001 Hörsaal

Klaus Ecker

einmal, ab 17.10.2019, 10:00 - 12:00 (16 Termine)

A3/Hs 001 Hörsaal

Klaus Ecker

einmal, ab 15.10.2019, 10:00 - 12:00 (16 Termine)

Practice seminar for Analysis I

LV: 19202802

a.SAP verarbeitet

2 SWS

Klaus Ecker

Practice seminar

Submod: 0084aA1.1.2

Akt: 29.10.2019 14:00

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

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

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

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

Additional appointments

Appointment series

A6/SR 009 Seminarraum

Klaus Ecker

einmal, ab 16.10.2019, 10:00 - 12:00 (16 Termine)

A6/SR 025/026 Seminarraum

Klaus Ecker

einmal, ab 16.10.2019, 10:00 - 12:00 (16 Termine)

KöLu24-26/SR 006 Neuro/Mathe

Klaus Ecker

einmal, ab 16.10.2019, 14:00 - 16:00 (16 Termine)

A3/SR 130 Seminarraum (Hinterhaus)

Klaus Ecker

einmal, ab 16.10.2019, 12:00 - 14:00 (16 Termine)

Module: Analysis III (0084aA1.3)

Analysis III

LV: 19201301

a.SAP verarbeitet

4 SWS

Péter Koltai

Lecture

Submod: 0084aA1.3.1

Akt: 30.06.2020 12:00

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

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

Description

References

Literatur

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

und für geschichtlich Interessierte:

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

Additional appointments

Analysis III

A6/SR 007/008 Seminarraum

Péter Koltai

06.02.2020 16:00 - 17:00

Klausur

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

Péter Koltai

19.02.2020 10:00 - 12:00

Nachklausur

A3/Hs 001 Hörsaal

Péter Koltai

31.08.2020 13:30 - 15:30

Appointment series

A6/SR 031 Seminarraum

Péter Koltai

einmal, ab 17.10.2019, 10:00 - 12:00 (16 Termine)

A6/SR 031 Seminarraum

Péter Koltai

einmal, ab 16.10.2019, 10:00 - 12:00 (16 Termine)

Practice seminar for Analysis III

LV: 19201302

a.SAP verarbeitet

2 SWS

Robert Malte Polzin

Luzie Helfmann

Péter Koltai

Practice seminar

Submod: 0084aA1.3.2

Akt: 11.05.2020 14:00

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

Wed, 08:00 - 10:00 (A3/ 024 Seminarraum )

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

Additional appointments

Robert Malte Polzin

Luzie Helfmann

Péter Koltai

30.10.2019 12:00 - 14:00

Appointment series

A6/SR 009 Seminarraum

Robert Malte Polzin

Luzie Helfmann

Péter Koltai

einmal, ab 15.10.2019, 12:00 - 14:00 (16 Termine)

A3/ 024 Seminarraum

Robert Malte Polzin

Luzie Helfmann

Péter Koltai

einmal, ab 16.10.2019, 08:00 - 10:00 (16 Termine)

A6/SR 009 Seminarraum

Robert Malte Polzin

Luzie Helfmann

Péter Koltai

einmal, ab 16.10.2019, 12:00 - 14:00 (16 Termine)

Module: Linear Algebra I (0084aA2.1)

Linear Algebra I

LV: 19201401

a.SAP verarbeitet

4 SWS

Rainer Sinn

Lecture

Submod: 0084aA2.1.1

Akt: 03.02.2020 16:00

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

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

Additional appointments

Klausur

Hs 1a Hörsaal

Rainer Sinn

21.02.2020 09:00 - 12:00

Klausur

Hs 1a Hörsaal

Rainer Sinn

21.02.2020 12:00 - 13:00

Nachklausur

HFB/A Hörsaal

Rainer Sinn

03.04.2020 09:00 - 13:00

Appointment series

A3/Hs 001 Hörsaal

Rainer Sinn

einmal, ab 16.10.2019, 08:00 - 10:00 (16 Termine)

A3/Hs 001 Hörsaal

Rainer Sinn

einmal, ab 14.10.2019, 08:00 - 10:00 (16 Termine)

Practice seminar for Linear Algebra I

LV: 19201402

a.SAP verarbeitet

2 SWS

Rainer Sinn

Practice seminar

Submod: 0084aA2.1.2

Akt: 29.10.2019 14:00

Thu, 14:00 - 16:00 ()

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

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

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

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

Additional appointments

Appointment series

Rainer Sinn

einmal, ab 24.10.2019, 14:00 - 16:00 (15 Termine)

A7/SR 031

Rainer Sinn

einmal, ab 17.10.2019, 10:00 - 12:00 (16 Termine)

A3/SR 119

Rainer Sinn

einmal, ab 23.10.2019, 10:00 - 12:00 (15 Termine)

A3/019 Seminarraum

Rainer Sinn

einmal, ab 14.10.2019, 14:00 - 16:00 (16 Termine)

A6/SR 032 Seminarraum

Rainer Sinn

einmal, ab 16.10.2019, 12:00 - 14:00 (16 Termine)

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

Computerorientated Mathematics I (5 LP)

LV: 19200501

a.SAP verarbeitet

2 SWS

Carsten Gräser

Lecture

Submod: 0084aA3.1.1

Akt: 19.02.2020 15:40

Fri, 12:00 - 14:00 (Gr. Hörsaal (Raum B.001))

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

Nachklausur

HFB/A Hörsaal

Carsten Gräser

01.04.2020 10:00 - 12:00

Appointment series

Gr. Hörsaal (Raum B.001)

Carsten Gräser

einmal, ab 18.10.2019, 12:00 - 14:00 (15 Termine)

Practice seminar for Computerorientated Mathematics I (5 LP)

LV: 19200502

a.SAP verarbeitet

2 SWS

Carsten Gräser

Lasse Hinrichsen-Bischoff

Practice seminar

Submod: 0084aA3.1.2

Akt: 07.10.2019 16:00

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

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

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

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

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

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

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

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

Additional appointments

Appointment series

A3/ 024 Seminarraum

Carsten Gräser

Lasse Hinrichsen-Bischoff

einmal, ab 17.10.2019, 16:00 - 18:00 (16 Termine)

A3/ 024 Seminarraum

Carsten Gräser

Lasse Hinrichsen-Bischoff

einmal, ab 14.10.2019, 14:00 - 16:00 (16 Termine)

A6/SR 025/026 Seminarraum

Carsten Gräser

Lasse Hinrichsen-Bischoff

einmal, ab 15.10.2019, 12:00 - 14:00 (16 Termine)

T9/049 Seminarraum

Carsten Gräser

Lasse Hinrichsen-Bischoff

einmal, ab 18.10.2019, 14:00 - 16:00 (16 Termine)

A3/ 024 Seminarraum

Carsten Gräser

Lasse Hinrichsen-Bischoff

einmal, ab 16.10.2019, 16:00 - 18:00 (16 Termine)

A3/019 Seminarraum

Carsten Gräser

Lasse Hinrichsen-Bischoff

einmal, ab 14.10.2019, 10:00 - 12:00 (16 Termine)

A3/019 Seminarraum

Carsten Gräser

Lasse Hinrichsen-Bischoff

einmal, ab 14.10.2019, 16:00 - 18:00 (16 Termine)

A3/019 Seminarraum

Carsten Gräser

Lasse Hinrichsen-Bischoff

einmal, ab 18.10.2019, 08:00 - 10:00 (16 Termine)

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

Stochastics I

LV: 19200601

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4 SWS

Timothy John Sullivan

Lecture

Submod: 0084bA4.2.1

Akt: 03.07.2023 09:16

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

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

Description

Content

Counting principles; combinatorial principles
Models for processes influenced by chance: probability spaces and probability measures
Conditional probability; independence; Bayes’ rule
Random variables and their distributions; summary statistics of distributions: expected value and variance
Discrete distributions: Laplace distribution; binomial distribution; geometric distributions
Approximation of the binomial distribution by the normal distribution
Approximation of the binomial distribution by the Poisson distribution
Absolutely continuous distributions: densities; the uniform distribution; normal distributions; exponential distribution
Joint distributions of multiple random variables: discrete and with densities; independence; conditional distributions; sums of independent random variables and their distribution
Statistics of multivariate distributions: expected value, covarince and correlation; conditional expectation; characteristic functiona
Limit theorems: weak and strong laws of large numbers; central limit theorem
Data analysis and descriptive statistics: histograms; empirical diatribution; statistics of samples; examples of misleading descriptive statistics; linear regression
Elementary terms and techniques of testing and estimation: Maximum likelihood principle; Confidence intervals; hypotheses tests; Type I and Type II errora

Literature

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 unten aufgeführten Bücher gibt es online über die UB. Dazu gibt es in der Mathebibliothek einen umfangreichen Handapparat zur Stochastik.

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 unten aufgeführten Bücher gibt es online über die UB. Dazu gibt es in der Mathebibliothek einen umfangreichen Handapparat zur Stochastik.

Additional information

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

Additional appointments

Klausur

HFB/A Hörsaal

Timothy John Sullivan

12.02.2020 12:00 - 15:00

Klausur

HFB/A Hörsaal

Timothy John Sullivan

12.02.2020 15:00 - 16:00

Appointment series

A6/SR 031 Seminarraum

Timothy John Sullivan

einmal, ab 17.10.2019, 08:00 - 10:00 (16 Termine)

A6/SR 031 Seminarraum

Timothy John Sullivan

einmal, ab 14.10.2019, 08:00 - 10:00 (16 Termine)

Practice seminar for Stochastics I

LV: 19200602

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2 SWS

Timothy John Sullivan

Practice seminar

Submod: 0084bA4.2.2

Akt: 03.07.2023 09:16

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

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

Tue, 16:00 - 18:00 (A3/SR 210 Seminarraum)

Additional appointments

Appointment series

A3/SR 119

Timothy John Sullivan

einmal, ab 15.10.2019, 08:00 - 10:00 (16 Termine)

A3/ 024 Seminarraum

Timothy John Sullivan

einmal, ab 14.10.2019, 12:00 - 14:00 (16 Termine)

A3/SR 210 Seminarraum

Timothy John Sullivan

einmal, ab 15.10.2019, 16:00 - 18:00 (16 Termine)

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

Basic Module: Algebra I

LV: 19202501

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4 SWS

Alexandru Constantinescu

Lecture

Submod: 0084aC1.1.1

Akt: 24.06.2020 14:28

Mon, 10:00 - 14:00 (A6/SR 032 Seminarraum)

Description

Affine algebraic varieties
Rings, ideals, and modules
Noetherian rings
Local rings and localization
Primary decompositione
Finite and integral extensions
Dimension theory
Regular rings

Target Group
Students with the prerequisites mentioned below.

Prerequisites

Linear Algebra I+II
Algebra and Number Theory

Literature

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

Homepage: Prof. Altmann

Additional appointments

Klausur

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

Alexandru Constantinescu

12.02.2020 12:00 - 14:00

Nachklausur (Klausur findet im L 115 Seminarzentrum statt)

L 115 Seminarzentrum

Alexandru Constantinescu

30.06.2020 09:00 - 11:00

Appointment series

A6/SR 032 Seminarraum

Alexandru Constantinescu

einmal, ab 14.10.2019, 10:00 - 14:00 (16 Termine)

Practice seminar for Basic Module: Algebra I

LV: 19202502

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2 SWS

Alexandru Constantinescu

Practice seminar

Submod: 0084aC1.1.2

Akt: 14.10.2019 18:00

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

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: 03.07.2023 09:16

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

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

Description

Subject matter:
Selected topics from:

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

Additional appointments

Klausur

HFB/D Hörsaal

Alexander Schmitt

13.02.2020 12:00 - 14:00

Nachklausur

Hs 1a Hörsaal

Alexander Schmitt

07.04.2020 12:00 - 14:00

Appointment series

A3/Hs 001 Hörsaal

Alexander Schmitt

einmal, ab 17.10.2019, 12:00 - 14:00 (15 Termine)

A3/Hs 001 Hörsaal

Alexander Schmitt

einmal, ab 15.10.2019, 12:00 - 14:00 (16 Termine)

Practice seminar for Algebra and Theory of Numbers

LV: 19200702

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2 SWS

Jonathan Kliem

Practice seminar

Submod: 0084bC1.6.2

Akt: 03.07.2023 09:16

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

Thu, 10:00 - 12:00 (A3/SR 210 Seminarraum)

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

Functional Analysis

LV: 19201901

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4 SWS

Stefan Klus

Patrick Gelß

Lecture

Submod: 0084bC2.2.1

Akt: 03.07.2023 09:16

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

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

Description

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

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

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

References

Literatur:

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

Additional appointments

Nachklausur

A6/SR 025/026 Seminarraum

Stefan Klus

Patrick Gelß

31.03.2020 10:00 - 12:00

Appointment series

A6/SR 025/026 Seminarraum

Stefan Klus

Patrick Gelß

einmal, ab 15.10.2019, 10:00 - 12:00 (16 Termine)

A6/SR 025/026 Seminarraum

Stefan Klus

Patrick Gelß

einmal, ab 17.10.2019, 10:00 - 12:00 (16 Termine)

Tutorial for Functional Analysis

LV: 19201902

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2 SWS

Stefan Klus

Patrick Gelß

Practice seminar

Submod: 0084bC2.2.2

Akt: 03.07.2023 09:16

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

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

A6/SR 025/026 Seminarraum

Stefan Klus

Patrick Gelß

einmal, ab 24.10.2019, 16:00 - 18:00 (15 Termine)

Module: Analysis Seminar (0084bC2.11)

Proseminar/Seminar Analysis

LV: 19200910

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2 SWS

Dirk Werner

Proseminar

Submod: 0084bC2.11.1

Akt: 28.10.2019 16:00

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

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

Cryptography and Security in Distributed Systems

LV: 19303601

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4 SWS

Volker Roth

Lecture

Submod: 0084bC3.6.1

Akt: 22.10.2019 16:00

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

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

Description

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

References

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

Weitere noch zu bestimmende Literatur und Primärquellen.

Additional information

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

Additional appointments

Appointment series

A7/SR 031

Volker Roth

einmal, ab 17.10.2019, 12:00 - 14:00 (16 Termine)

T9/SR 006 Seminarraum

Volker Roth

einmal, ab 15.10.2019, 16:00 - 18:00 (16 Termine)

Practice seminar for Cryptography and Security in Distributed Systems

LV: 19303602

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2 SWS

Oliver Wiese

Practice seminar

Submod: 0084bC3.6.2

Akt: 11.11.2019 10:00

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

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

Discrete Geometrie I

LV: 19202001

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4 SWS

Pavle Blagojevic

Lecture

Submod: 0084bC3.1.1

Akt: 27.08.2019 13:02

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

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

Description

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

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

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

References

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

Additional information

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

Additional appointments

Appointment series

A6/SR 031 Seminarraum

Pavle Blagojevic

einmal, ab 14.10.2019, 10:00 - 12:00 (16 Termine)

A6/SR 031 Seminarraum

Pavle Blagojevic

einmal, ab 15.10.2019, 10:00 - 12:00 (16 Termine)

Practice seminar for Discrete Geometrie I

LV: 19202002

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2 SWS

Pavle Blagojevic

Practice seminar

Submod: 0084bC3.1.2

Akt: 27.08.2019 13:02

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

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

Basic Module: Numeric II

LV: 19202101

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4 SWS

Ralf Kornhuber

Lecture

Submod: 0084bC5.1.1

Akt: 18.10.2019 14:00

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

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

Description

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

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

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

Webseite: http://numerik.mi.fu-berlin.de/wiki/WS_2019/NumericsII.php

Additional appointments

Klausur

T9/Gr. Hörsaal

Ralf Kornhuber

10.02.2020 14:00 - 16:00

Nachklausur

T9/Gr. Hörsaal

Ralf Kornhuber

03.04.2020 10:00 - 12:00

Appointment series

A6/SR 007/008 Seminarraum

Ralf Kornhuber

einmal, ab 14.10.2019, 14:00 - 16:00 (15 Termine)

A6/SR 007/008 Seminarraum

Ralf Kornhuber

einmal, ab 15.10.2019, 14:00 - 16:00 (16 Termine)

Practice seminar for Basic Module: Numeric II

LV: 19202102

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2 SWS

Ralf Kornhuber

Xingjian Zhang-Schneider

Practice seminar

Submod: 0084bC5.1.2

Akt: 14.05.2020 12:00

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

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

Algorithms, Data Structures, and Data Abstraction

LV: 19300201

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4 SWS

Günther Rothe

Lecture

Submod: 0084bC6.2.1

Akt: 06.07.2020 10:05

Tue, 14:00 - 16:00 (T9/Gr. Hörsaal)

Thu, 14:00 - 16:00 (T9/Gr. Hörsaal)

Description

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

References

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

Additional appointments

Klausur

HFB/A Hörsaal

HFB/B Hörsaal

HFB/C Hörsaal

HFB/D Hörsaal

Günther Rothe

18.02.2020 14:00 - 16:00

Nachklausur (Termin findet im L 113 , L 115 Seminarzentrum statt)

L 113 Seminarzentrum (ohne Fenster)

L 115 Seminarzentrum

Günther Rothe

26.06.2020 10:00 - 12:00

Nachklausur

Hs 1a Hörsaal

Günther Rothe

13.08.2020 10:00 - 12:00

Appointment series

T9/Gr. Hörsaal

Günther Rothe

einmal, ab 15.10.2019, 14:00 - 16:00 (16 Termine)

T9/Gr. Hörsaal

Günther Rothe

einmal, ab 17.10.2019, 14:00 - 16:00 (16 Termine)

Practice seminar for Algorithms, Data Structures, and Data Abstraction

LV: 19300202

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2 SWS

Günther Rothe

Practice seminar

Submod: 0084bC6.2.2

Akt: 30.10.2019 18:00

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

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

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

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

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

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

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

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

Mon, 10:00 - 12:00 ()

Additional appointments

Appointment series

T9/053 Seminarraum

Günther Rothe

einmal, ab 17.10.2019, 12:00 - 14:00 (16 Termine)

T9/SR 006 Seminarraum

Günther Rothe

einmal, ab 17.10.2019, 12:00 - 14:00 (16 Termine)

T9/051 Seminarraum

Günther Rothe

einmal, ab 16.10.2019, 08:00 - 10:00 (16 Termine)

T9/051 Seminarraum

Günther Rothe

einmal, ab 18.10.2019, 14:00 - 16:00 (16 Termine)

T9/053 Seminarraum

Günther Rothe

einmal, ab 15.10.2019, 10:00 - 12:00 (16 Termine)

T9/053 Seminarraum

Günther Rothe

einmal, ab 18.10.2019, 08:00 - 10:00 (16 Termine)

T9/049 Seminarraum

Günther Rothe

einmal, ab 15.10.2019, 12:00 - 14:00 (16 Termine)

T9/053 Seminarraum

Günther Rothe

einmal, ab 17.10.2019, 08:00 - 10:00 (16 Termine)

Günther Rothe

einmal, ab 14.10.2019, 10:00 - 12:00 (16 Termine)

Module: Seminar on Algorithms (0084bC6.5)

Seminar on Algorithms

LV: 19306711

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2 SWS

Frank Hoffmann

Klaus Kriegel

Seminar

Submod: 0084bC6.5.1

Akt: 04.02.2020 16:00

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

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

Description

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

Target audience

Masters students in computer science and mathematics.

Recommended prerequisites

"Advanced algorithms" or a similar class.

References

Spezialliteratur aus Zeitschriften

Additional appointments

Appointment series

T9/SR 006 Seminarraum

Frank Hoffmann

Klaus Kriegel

einmal, ab 07.02.2020, 14:00 - 16:00 (4 Termine)

T9/SR 006 Seminarraum

Frank Hoffmann

Klaus Kriegel

einmal, ab 15.10.2019, 14:00 - 16:00 (15 Termine)

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

Module: Mathematics Seminar (0084cB1.1)

Proseminar/Seminar Analysis

LV: 19200910

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2 SWS

Dirk Werner

Proseminar

Submod: 0084bC2.11.1

Akt: 28.10.2019 16:00

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

Seminar on Visualization

LV: 19212411

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2 SWS

Konrad Polthier

Henriette-Sophie Lipschütz

Seminar

Submod: 0084cB1.1.1

Akt: 25.10.2019 14:00

Tue, 14:00 - 16:00 (A6/108/109 Seminarraum)

Description

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

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

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

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

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

Topics are chosen from the following areas:

- general techniques in visualization

- visualization of vector fields

- rendering

- image processing

- smoothing of geometries

- discrete methods on 3D models

- animation

Additional appointments

Appointment series

A6/108/109 Seminarraum

Konrad Polthier

Henriette-Sophie Lipschütz

einmal, ab 15.10.2019, 14:00 - 16:00 (16 Termine)

Topology Seminar

LV: 19217011

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2 SWS

Holger Reich

Elmar Vogt

Gabriel James Angelini-Knoll

Seminar

Submod: 0084cB1.1.1

Akt: 14.10.2019 12:00

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

Description

Content: Detailed information will be announced on the homepage for the seminar.

References

Literature: will be announced on the homepage of the seminar.

Additional information

Target group: The seminar is intended for students who have taken a first course in Topology.

Additional appointments

Appointment series

A6/SR 009 Seminarraum

Holger Reich

Elmar Vogt

Gabriel James Angelini-Knoll

einmal, ab 22.10.2019, 14:00 - 16:00 (16 Termine)

machine learning

LV: 19242411

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2 SWS

Ehrhard Behrends

Seminar

Submod: 0084cB1.1.1

Akt: 27.08.2019 13:00

Mon, 14:00 - 15:30 (A3/SR 210 Seminarraum)

Description

References

Wird in der Vorlesung bekannt gegeben

Additional information

Additional appointments

Appointment series

A3/SR 210 Seminarraum

Ehrhard Behrends

einmal, ab 14.10.2019, 14:00 - 15:30 (16 Termine)

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

Algorithms, Data Structures, and Data Abstraction

LV: 19300201

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4 SWS

Günther Rothe

Lecture

Submod: 0084bC6.2.1

Akt: 06.07.2020 10:05

Tue, 14:00 - 16:00 (T9/Gr. Hörsaal)

Thu, 14:00 - 16:00 (T9/Gr. Hörsaal)

Description

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

References

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

Additional appointments

Klausur

HFB/A Hörsaal

HFB/B Hörsaal

HFB/C Hörsaal

HFB/D Hörsaal

Günther Rothe

18.02.2020 14:00 - 16:00

Nachklausur (Termin findet im L 113 , L 115 Seminarzentrum statt)

L 113 Seminarzentrum (ohne Fenster)

L 115 Seminarzentrum

Günther Rothe

26.06.2020 10:00 - 12:00

Nachklausur

Hs 1a Hörsaal

Günther Rothe

13.08.2020 10:00 - 12:00

Appointment series

T9/Gr. Hörsaal

Günther Rothe

einmal, ab 15.10.2019, 14:00 - 16:00 (16 Termine)

T9/Gr. Hörsaal

Günther Rothe

einmal, ab 17.10.2019, 14:00 - 16:00 (16 Termine)

Practice seminar for Algorithms, Data Structures, and Data Abstraction

LV: 19300202

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2 SWS

Günther Rothe

Practice seminar

Submod: 0084bC6.2.2

Akt: 30.10.2019 18:00

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

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

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

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

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

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

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

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

Mon, 10:00 - 12:00 ()

Additional appointments

Appointment series

T9/053 Seminarraum

Günther Rothe

einmal, ab 17.10.2019, 12:00 - 14:00 (16 Termine)

T9/SR 006 Seminarraum

Günther Rothe

einmal, ab 17.10.2019, 12:00 - 14:00 (16 Termine)

T9/051 Seminarraum

Günther Rothe

einmal, ab 16.10.2019, 08:00 - 10:00 (16 Termine)

T9/051 Seminarraum

Günther Rothe

einmal, ab 18.10.2019, 14:00 - 16:00 (16 Termine)

T9/053 Seminarraum

Günther Rothe

einmal, ab 15.10.2019, 10:00 - 12:00 (16 Termine)

T9/053 Seminarraum

Günther Rothe

einmal, ab 18.10.2019, 08:00 - 10:00 (16 Termine)

T9/049 Seminarraum

Günther Rothe

einmal, ab 15.10.2019, 12:00 - 14:00 (16 Termine)

T9/053 Seminarraum

Günther Rothe

einmal, ab 17.10.2019, 08:00 - 10:00 (16 Termine)

Günther Rothe

einmal, ab 14.10.2019, 10:00 - 12:00 (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: 03.07.2023 09:16

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

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

Description

Subject matter:
Selected topics from:

Additional appointments

Klausur

HFB/D Hörsaal

Alexander Schmitt

13.02.2020 12:00 - 14:00

Nachklausur

Hs 1a Hörsaal

Alexander Schmitt

07.04.2020 12:00 - 14:00

Appointment series

A3/Hs 001 Hörsaal

Alexander Schmitt

einmal, ab 17.10.2019, 12:00 - 14:00 (15 Termine)

A3/Hs 001 Hörsaal

Alexander Schmitt

einmal, ab 15.10.2019, 12:00 - 14:00 (16 Termine)

Practice seminar for Algebra and Theory of Numbers

LV: 19200702

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2 SWS

Jonathan Kliem

Practice seminar

Submod: 0084bC1.6.2

Akt: 03.07.2023 09:16

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

Thu, 10:00 - 12:00 (A3/SR 210 Seminarraum)

Module: Functional Analysis (0084cB2.2)

Functional Analysis

LV: 19201901

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4 SWS

Stefan Klus

Patrick Gelß

Lecture

Submod: 0084bC2.2.1

Akt: 03.07.2023 09:16

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

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

Description

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

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

References

Literatur:

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

Additional appointments

Nachklausur

A6/SR 025/026 Seminarraum

Stefan Klus

Patrick Gelß

31.03.2020 10:00 - 12:00

Appointment series

A6/SR 025/026 Seminarraum

Stefan Klus

Patrick Gelß

einmal, ab 15.10.2019, 10:00 - 12:00 (16 Termine)

A6/SR 025/026 Seminarraum

Stefan Klus

Patrick Gelß

einmal, ab 17.10.2019, 10:00 - 12:00 (16 Termine)

Tutorial for Functional Analysis

LV: 19201902

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2 SWS

Stefan Klus

Patrick Gelß

Practice seminar

Submod: 0084bC2.2.2

Akt: 03.07.2023 09:16

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

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

A6/SR 025/026 Seminarraum

Stefan Klus

Patrick Gelß

einmal, ab 24.10.2019, 16:00 - 18:00 (15 Termine)

Module: Discrete Mathematics I (0084cB3.2)

Discrete Geometrie I

LV: 19202001

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4 SWS

Pavle Blagojevic

Lecture

Submod: 0084bC3.1.1

Akt: 27.08.2019 13:02

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

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

Description

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

References

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

Additional information

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

Additional appointments

Appointment series

A6/SR 031 Seminarraum

Pavle Blagojevic

einmal, ab 14.10.2019, 10:00 - 12:00 (16 Termine)

A6/SR 031 Seminarraum

Pavle Blagojevic

einmal, ab 15.10.2019, 10:00 - 12:00 (16 Termine)

Practice seminar for Discrete Geometrie I

LV: 19202002

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2 SWS

Pavle Blagojevic

Practice seminar

Submod: 0084bC3.1.2

Akt: 27.08.2019 13:02

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

Module: Numerical Mathematics II (0084cB3.4)

Basic Module: Numeric II

LV: 19202101

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4 SWS

Ralf Kornhuber

Lecture

Submod: 0084bC5.1.1

Akt: 18.10.2019 14:00

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

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

Description

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

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

Webseite: http://numerik.mi.fu-berlin.de/wiki/WS_2019/NumericsII.php

Additional appointments

Klausur

T9/Gr. Hörsaal

Ralf Kornhuber

10.02.2020 14:00 - 16:00

Nachklausur

T9/Gr. Hörsaal

Ralf Kornhuber

03.04.2020 10:00 - 12:00

Appointment series

A6/SR 007/008 Seminarraum

Ralf Kornhuber

einmal, ab 14.10.2019, 14:00 - 16:00 (15 Termine)

A6/SR 007/008 Seminarraum

Ralf Kornhuber

einmal, ab 15.10.2019, 14:00 - 16:00 (16 Termine)

Practice seminar for Basic Module: Numeric II

LV: 19202102

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2 SWS

Ralf Kornhuber

Xingjian Zhang-Schneider

Practice seminar

Submod: 0084bC5.1.2

Akt: 14.05.2020 12:00

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

Module: Algebra I (0084cB3.3)

Basic Module: Algebra I

LV: 19202501

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4 SWS

Alexandru Constantinescu

Lecture

Submod: 0084aC1.1.1

Akt: 24.06.2020 14:28

Mon, 10:00 - 14:00 (A6/SR 032 Seminarraum)

Description

Affine algebraic varieties
Rings, ideals, and modules
Noetherian rings
Local rings and localization
Primary decompositione
Finite and integral extensions
Dimension theory
Regular rings

Target Group
Students with the prerequisites mentioned below.

Prerequisites

Linear Algebra I+II
Algebra and Number Theory

Literature

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

Homepage: Prof. Altmann

Additional appointments

Klausur

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

Alexandru Constantinescu

12.02.2020 12:00 - 14:00

Nachklausur (Klausur findet im L 115 Seminarzentrum statt)

L 115 Seminarzentrum

Alexandru Constantinescu

30.06.2020 09:00 - 11:00

Appointment series

A6/SR 032 Seminarraum

Alexandru Constantinescu

einmal, ab 14.10.2019, 10:00 - 14:00 (16 Termine)

Practice seminar for Basic Module: Algebra I

LV: 19202502

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2 SWS

Alexandru Constantinescu

Practice seminar

Submod: 0084aC1.1.2

Akt: 14.10.2019 18:00

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

Module: Seminar on Algorithms (0089bA2.8)

Seminar on Algorithms

LV: 19306711

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2 SWS

Frank Hoffmann

Klaus Kriegel

Seminar

Submod: 0084bC6.5.1

Akt: 04.02.2020 16:00

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

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

Description

Target audience

Masters students in computer science and mathematics.

Recommended prerequisites

"Advanced algorithms" or a similar class.

References

Spezialliteratur aus Zeitschriften

Additional appointments

Appointment series

T9/SR 006 Seminarraum

Frank Hoffmann

Klaus Kriegel

einmal, ab 07.02.2020, 14:00 - 16:00 (4 Termine)

T9/SR 006 Seminarraum

Frank Hoffmann

Klaus Kriegel

einmal, ab 15.10.2019, 14:00 - 16:00 (15 Termine)

Module: Analysis I (0084cA1.1)

Analysis I

LV: 19202801

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4 SWS

Klaus Ecker

Lecture

Submod: 0084aA1.1.1

Akt: 29.06.2020 14:05

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

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

Description

Grundlagen, Elementare Logik, Geordnete Paare, Relationen, Funktionen, Definitionsbereich und Wertebereich einer Funktion. Umkehrfunktion (Injektivität, Surjektivität).
Zahlen. Vollständige Induktion. Rechnen in R, C.
Anordnung von R. Maximum und Minimum, Supremum und Infimum reeller Mengen. Supremums/Infimums-Vollständigkeit von R. Betrag einer reellen Zahl. Q ist dicht in R.
Folgen und Reihen. Grenzwerte, Cauchyfolgen. Konvergenzkriterien. Reihen und grundlegende Konvergenzprinzipien.
Topologische Aspekte von R. Offene, abgeschlossene und kompakte reelle Mengen.
Funktionenfolgen, Funktionenreihen, Potenzreihen.
Eigenschaften von Funktionen. Beschränktheit, Monotonie. Konvexität.
Stetigkeit. Grenzwerte und Stetigkeit von Funktionen. Gleichmäßige Stetigkeit. Zwischenwertsätze. Stetigkeit und Kompaktheit.
Differenzierbarkeit. Begriff der Ableitung. Differentiationsregeln. Mittelwertsätze. Lokale und globale Extrema. Krümmung. Monotonie. Konvexität.
Elementare Funktionen. Rationale Funktionen. Wurzelfunktionen. Exponentialfunktionen. Winkelfunktionen, Hyperbolische Funktionen. Reeller Logarithmus. Reelle Arcus-Funktionen. Kurvendiskussionen.
Anfänge der Integralrechnung

References

Spivak: Calculus
Abott: Understanding Analysis
Forster: Analysis I
Hildebrandt: Analysis I

Additional appointments

Nachklausur

Speisesaal Mensa II

Virtueller Raum 03

Klaus Ecker

02.07.2020 13:00 - 15:00

Appointment series

A3/Hs 001 Hörsaal

Klaus Ecker

einmal, ab 17.10.2019, 10:00 - 12:00 (16 Termine)

A3/Hs 001 Hörsaal

Klaus Ecker

einmal, ab 15.10.2019, 10:00 - 12:00 (16 Termine)

Practice seminar for Analysis I

LV: 19202802

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2 SWS

Klaus Ecker

Practice seminar

Submod: 0084aA1.1.2

Akt: 29.10.2019 14:00

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

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

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

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

Additional appointments

Appointment series

A6/SR 009 Seminarraum

Klaus Ecker

einmal, ab 16.10.2019, 10:00 - 12:00 (16 Termine)

A6/SR 025/026 Seminarraum

Klaus Ecker

einmal, ab 16.10.2019, 10:00 - 12:00 (16 Termine)

KöLu24-26/SR 006 Neuro/Mathe

Klaus Ecker

einmal, ab 16.10.2019, 14:00 - 16:00 (16 Termine)

A3/SR 130 Seminarraum (Hinterhaus)

Klaus Ecker

einmal, ab 16.10.2019, 12:00 - 14:00 (16 Termine)

Module: Lineare Algebra I (0084cA1.4)

Linear Algebra I

LV: 19201401

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4 SWS

Rainer Sinn

Lecture

Submod: 0084aA2.1.1

Akt: 03.02.2020 16:00

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

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

Additional appointments

Klausur

Hs 1a Hörsaal

Rainer Sinn

21.02.2020 09:00 - 12:00

Klausur

Hs 1a Hörsaal

Rainer Sinn

21.02.2020 12:00 - 13:00

Nachklausur

HFB/A Hörsaal

Rainer Sinn

03.04.2020 09:00 - 13:00

Appointment series

A3/Hs 001 Hörsaal

Rainer Sinn

einmal, ab 16.10.2019, 08:00 - 10:00 (16 Termine)

A3/Hs 001 Hörsaal

Rainer Sinn

einmal, ab 14.10.2019, 08:00 - 10:00 (16 Termine)

Practice seminar for Linear Algebra I

LV: 19201402

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2 SWS

Rainer Sinn

Practice seminar

Submod: 0084aA2.1.2

Akt: 29.10.2019 14:00

Thu, 14:00 - 16:00 ()

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

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

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

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

Additional appointments

Appointment series

Rainer Sinn

einmal, ab 24.10.2019, 14:00 - 16:00 (15 Termine)

A7/SR 031

Rainer Sinn

einmal, ab 17.10.2019, 10:00 - 12:00 (16 Termine)

A3/SR 119

Rainer Sinn

einmal, ab 23.10.2019, 10:00 - 12:00 (15 Termine)

A3/019 Seminarraum

Rainer Sinn

einmal, ab 14.10.2019, 14:00 - 16:00 (16 Termine)

A6/SR 032 Seminarraum

Rainer Sinn

einmal, ab 16.10.2019, 12:00 - 14:00 (16 Termine)

Module: Computerorientierte Mathematik I (0084cA1.6)

Computerorientated Mathematics I (5 LP)

LV: 19200501

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2 SWS

Carsten Gräser

Lecture

Submod: 0084aA3.1.1

Akt: 19.02.2020 15:40

Fri, 12:00 - 14:00 (Gr. Hörsaal (Raum B.001))

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

Nachklausur

HFB/A Hörsaal

Carsten Gräser

01.04.2020 10:00 - 12:00

Appointment series

Gr. Hörsaal (Raum B.001)

Carsten Gräser

einmal, ab 18.10.2019, 12:00 - 14:00 (15 Termine)

Practice seminar for Computerorientated Mathematics I (5 LP)

LV: 19200502

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2 SWS

Carsten Gräser

Lasse Hinrichsen-Bischoff

Practice seminar

Submod: 0084aA3.1.2

Akt: 07.10.2019 16:00

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

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

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

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

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

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

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

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

Additional appointments

Appointment series

A3/ 024 Seminarraum

Carsten Gräser

Lasse Hinrichsen-Bischoff

einmal, ab 17.10.2019, 16:00 - 18:00 (16 Termine)

A3/ 024 Seminarraum

Carsten Gräser

Lasse Hinrichsen-Bischoff

einmal, ab 14.10.2019, 14:00 - 16:00 (16 Termine)

A6/SR 025/026 Seminarraum

Carsten Gräser

Lasse Hinrichsen-Bischoff

einmal, ab 15.10.2019, 12:00 - 14:00 (16 Termine)

T9/049 Seminarraum

Carsten Gräser

Lasse Hinrichsen-Bischoff

einmal, ab 18.10.2019, 14:00 - 16:00 (16 Termine)

A3/ 024 Seminarraum

Carsten Gräser

Lasse Hinrichsen-Bischoff

einmal, ab 16.10.2019, 16:00 - 18:00 (16 Termine)

A3/019 Seminarraum

Carsten Gräser

Lasse Hinrichsen-Bischoff

einmal, ab 14.10.2019, 10:00 - 12:00 (16 Termine)

A3/019 Seminarraum

Carsten Gräser

Lasse Hinrichsen-Bischoff

einmal, ab 14.10.2019, 16:00 - 18:00 (16 Termine)

A3/019 Seminarraum

Carsten Gräser

Lasse Hinrichsen-Bischoff

einmal, ab 18.10.2019, 08:00 - 10:00 (16 Termine)

Module: Stochastics I (0084cA1.8)

Stochastics I

LV: 19200601

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4 SWS

Timothy John Sullivan

Lecture

Submod: 0084bA4.2.1

Akt: 03.07.2023 09:16

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

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

Description

Content

Counting principles; combinatorial principles
Models for processes influenced by chance: probability spaces and probability measures
Conditional probability; independence; Bayes’ rule
Random variables and their distributions; summary statistics of distributions: expected value and variance
Discrete distributions: Laplace distribution; binomial distribution; geometric distributions
Approximation of the binomial distribution by the normal distribution
Approximation of the binomial distribution by the Poisson distribution
Absolutely continuous distributions: densities; the uniform distribution; normal distributions; exponential distribution
Joint distributions of multiple random variables: discrete and with densities; independence; conditional distributions; sums of independent random variables and their distribution
Statistics of multivariate distributions: expected value, covarince and correlation; conditional expectation; characteristic functiona
Limit theorems: weak and strong laws of large numbers; central limit theorem
Data analysis and descriptive statistics: histograms; empirical diatribution; statistics of samples; examples of misleading descriptive statistics; linear regression
Elementary terms and techniques of testing and estimation: Maximum likelihood principle; Confidence intervals; hypotheses tests; Type I and Type II errora

Literature

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 unten aufgeführten Bücher gibt es online über die UB. Dazu gibt es in der Mathebibliothek einen umfangreichen Handapparat zur Stochastik.

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 unten aufgeführten Bücher gibt es online über die UB. Dazu gibt es in der Mathebibliothek einen umfangreichen Handapparat zur Stochastik.

Additional information

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

Additional appointments

Klausur

HFB/A Hörsaal

Timothy John Sullivan

12.02.2020 12:00 - 15:00

Klausur

HFB/A Hörsaal

Timothy John Sullivan

12.02.2020 15:00 - 16:00

Appointment series

A6/SR 031 Seminarraum

Timothy John Sullivan

einmal, ab 17.10.2019, 08:00 - 10:00 (16 Termine)

A6/SR 031 Seminarraum

Timothy John Sullivan

einmal, ab 14.10.2019, 08:00 - 10:00 (16 Termine)

Practice seminar for Stochastics I

LV: 19200602

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2 SWS

Timothy John Sullivan

Practice seminar

Submod: 0084bA4.2.2

Akt: 03.07.2023 09:16

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

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

Tue, 16:00 - 18:00 (A3/SR 210 Seminarraum)

Additional appointments

Appointment series

A3/SR 119

Timothy John Sullivan

einmal, ab 15.10.2019, 08:00 - 10:00 (16 Termine)

A3/ 024 Seminarraum

Timothy John Sullivan

einmal, ab 14.10.2019, 12:00 - 14:00 (16 Termine)

A3/SR 210 Seminarraum

Timothy John Sullivan

einmal, ab 15.10.2019, 16:00 - 18:00 (16 Termine)

Module: Analysis II (0084cA1.2)

Analysis II

LV: 19211601

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4 SWS

Konrad Polthier

Lecture

Submod: 0084cA1.2.1

Akt: 25.06.2020 14:30

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

HFB/B Hörsaal

Konrad Polthier

20.02.2020 10:00 - 12:00

Nachklausur

T9/Gr. Hörsaal

Konrad Polthier

02.04.2020 10:00 - 12:00

Nachklausur

Virtueller Raum 01

Konrad Polthier

06.07.2020 10:00 - 12:00

Appointment series

T9/SR 005 Übungsraum

Konrad Polthier

einmal, ab 17.10.2019, 10:00 - 12:00 (16 Termine)

T9/SR 005 Übungsraum

Konrad Polthier

einmal, ab 15.10.2019, 10:00 - 12:00 (16 Termine)

Practice seminar for Analysis II

LV: 19211602

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2 SWS

Konrad Polthier

Practice seminar

Submod: 0084cA1.2.2

Akt: 25.09.2019 18:00

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

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

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

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

Additional appointments

Appointment series

A7/SR 140 Seminarraum (Hinterhaus)

Konrad Polthier

einmal, ab 16.10.2019, 08:00 - 10:00 (16 Termine)

A3/SR 130 Seminarraum (Hinterhaus)

Konrad Polthier

einmal, ab 17.10.2019, 08:00 - 10:00 (16 Termine)

A3/SR 130 Seminarraum (Hinterhaus)

Konrad Polthier

einmal, ab 16.10.2019, 14:00 - 16:00 (16 Termine)

A6/SR 009 Seminarraum

Konrad Polthier

einmal, ab 17.10.2019, 16:00 - 18:00 (16 Termine)

Module: Lineare Algebra II (0084cA1.5)

Linear Algebra II

LV: 19211701

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4 SWS

Dirk Werner

Lecture

Submod: 0084cA1.5.1

Akt: 24.06.2020 14:33

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

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

Description

Contents:

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

Prerequisites: Linear Algebra I

Literature:

Will be mentioned in the lecture.

Additional information

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

Additional appointments

Klausur

Hs 2 Hörsaal

Dirk Werner

19.02.2020 12:00 - 14:00

Nachklausur (der Termin findet in der Mensa statt)

Speisesaal Mensa II

Dirk Werner

29.06.2020 16:00 - 18:00

Appointment series

A3/Hs 001 Hörsaal

Dirk Werner

einmal, ab 18.10.2019, 08:00 - 10:00 (16 Termine)

A3/Hs 001 Hörsaal

Dirk Werner

einmal, ab 16.10.2019, 12:00 - 14:00 (16 Termine)

Practice seminar for Linear Algebra II

LV: 19211702

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2 SWS

Dirk Werner

Practice seminar

Submod: 0084cA1.5.2

Akt: 25.09.2019 18:00

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

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

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

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

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Dirk Werner

einmal, ab 17.10.2019, 08:00 - 10:00 (16 Termine)

A6/SR 032 Seminarraum

Dirk Werner

einmal, ab 18.10.2019, 12:00 - 14:00 (16 Termine)

A3/ 024 Seminarraum

Dirk Werner

einmal, ab 18.10.2019, 10:00 - 12:00 (16 Termine)

A3/019 Seminarraum

Dirk Werner

einmal, ab 17.10.2019, 08:00 - 10:00 (16 Termine)

Module: Analysis III (0084cA1.3)

Analysis III

LV: 19201301

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4 SWS

Péter Koltai

Lecture

Submod: 0084aA1.3.1

Akt: 30.06.2020 12:00

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

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

Description

References

Literatur

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

und für geschichtlich Interessierte:

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

Additional appointments

Analysis III

A6/SR 007/008 Seminarraum

Péter Koltai

06.02.2020 16:00 - 17:00

Klausur

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

Péter Koltai

19.02.2020 10:00 - 12:00

Nachklausur

A3/Hs 001 Hörsaal

Péter Koltai

31.08.2020 13:30 - 15:30

Appointment series

A6/SR 031 Seminarraum

Péter Koltai

einmal, ab 17.10.2019, 10:00 - 12:00 (16 Termine)

A6/SR 031 Seminarraum

Péter Koltai

einmal, ab 16.10.2019, 10:00 - 12:00 (16 Termine)

Practice seminar for Analysis III

LV: 19201302

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2 SWS

Robert Malte Polzin

Luzie Helfmann

Péter Koltai

Practice seminar

Submod: 0084aA1.3.2

Akt: 11.05.2020 14:00

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

Wed, 08:00 - 10:00 (A3/ 024 Seminarraum )

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

Additional appointments

Robert Malte Polzin

Luzie Helfmann

Péter Koltai

30.10.2019 12:00 - 14:00

Appointment series

A6/SR 009 Seminarraum

Robert Malte Polzin

Luzie Helfmann

Péter Koltai

einmal, ab 15.10.2019, 12:00 - 14:00 (16 Termine)

A3/ 024 Seminarraum

Robert Malte Polzin

Luzie Helfmann

Péter Koltai

einmal, ab 16.10.2019, 08:00 - 10:00 (16 Termine)

A6/SR 009 Seminarraum

Robert Malte Polzin

Luzie Helfmann

Péter Koltai

einmal, ab 16.10.2019, 12:00 - 14:00 (16 Termine)

Mathematics (0084d_k120)

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

Proseminar/Seminar Analysis

LV: 19200910

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2 SWS

Dirk Werner

Proseminar

Submod: 0084bC2.11.1

Akt: 28.10.2019 16:00

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

Seminar on Visualization

LV: 19212411

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2 SWS

Konrad Polthier

Henriette-Sophie Lipschütz

Seminar

Submod: 0084cB1.1.1

Akt: 25.10.2019 14:00

Tue, 14:00 - 16:00 (A6/108/109 Seminarraum)

Description

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

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

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

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

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

Topics are chosen from the following areas:

- general techniques in visualization

- visualization of vector fields

- rendering

- image processing

- smoothing of geometries

- discrete methods on 3D models

- animation

Additional appointments

Appointment series

A6/108/109 Seminarraum

Konrad Polthier

Henriette-Sophie Lipschütz

einmal, ab 15.10.2019, 14:00 - 16:00 (16 Termine)

Topology Seminar

LV: 19217011

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2 SWS

Holger Reich

Elmar Vogt

Gabriel James Angelini-Knoll

Seminar

Submod: 0084cB1.1.1

Akt: 14.10.2019 12:00

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

Description

Content: Detailed information will be announced on the homepage for the seminar.

References

Literature: will be announced on the homepage of the seminar.

Additional information

Target group: The seminar is intended for students who have taken a first course in Topology.

Additional appointments

Appointment series

A6/SR 009 Seminarraum

Holger Reich

Elmar Vogt

Gabriel James Angelini-Knoll

einmal, ab 22.10.2019, 14:00 - 16:00 (16 Termine)

Representation theory of symmetric groups

LV: 19229917

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2 SWS

Victoria Hoskins

Seminar / Undergraduate Course

Submod: 0084dB1.1.1

Akt: 25.10.2019 14:00

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

Description

A representation of a group is a group effect on a vector space; that is, for each element of the group we have an isomorphism of the vector space and its links are compatible with the multiplication of the group. In this seminar we will look at the representation theory of finite groups and especially symmetric groups. Several prominent mathematicians (such as Frobenius, Schur and Young) have studied the representation theory of symmetric groups. Furthermore, the representation theory of symmetric groups has connections with combinatorics and geometry, and has applications in mathematical physics and stochastics. Each representation is composed of irreducible representations and the main goal of the seminar is to describe these irreducible representations combinatorially with so-called Young diagrams.

References

G. D. James "The representation theory of the symmetric group" Springer, Lecture Notes in Mathemtaics vol 682, 1978

B. E. Sagan "The Symmetric Group - Representations, Combinatorial Algorithms, and Symmetric Functions" 2nd Edition, 2000

Additional appointments

Appointment series

A3/SR 130 Seminarraum (Hinterhaus)

Victoria Hoskins

einmal, ab 14.10.2019, 14:00 - 16:00 (16 Termine)

machine learning

LV: 19242411

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2 SWS

Ehrhard Behrends

Seminar

Submod: 0084cB1.1.1

Akt: 27.08.2019 13:00

Mon, 14:00 - 15:30 (A3/SR 210 Seminarraum)

Description

References

Wird in der Vorlesung bekannt gegeben

Additional information

Additional appointments

Appointment series

A3/SR 210 Seminarraum

Ehrhard Behrends

einmal, ab 14.10.2019, 14:00 - 15:30 (16 Termine)

Module: Functional Analysis (0084dB2.2)

Functional Analysis

LV: 19201901

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4 SWS

Stefan Klus

Patrick Gelß

Lecture

Submod: 0084bC2.2.1

Akt: 03.07.2023 09:16

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

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

Description

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

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

References

Literatur:

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

Additional appointments

Nachklausur

A6/SR 025/026 Seminarraum

Stefan Klus

Patrick Gelß

31.03.2020 10:00 - 12:00

Appointment series

A6/SR 025/026 Seminarraum

Stefan Klus

Patrick Gelß

einmal, ab 15.10.2019, 10:00 - 12:00 (16 Termine)

A6/SR 025/026 Seminarraum

Stefan Klus

Patrick Gelß

einmal, ab 17.10.2019, 10:00 - 12:00 (16 Termine)

Tutorial for Functional Analysis

LV: 19201902

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2 SWS

Stefan Klus

Patrick Gelß

Practice seminar

Submod: 0084bC2.2.2

Akt: 03.07.2023 09:16

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

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

A6/SR 025/026 Seminarraum

Stefan Klus

Patrick Gelß

einmal, ab 24.10.2019, 16:00 - 18:00 (15 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: 03.07.2023 09:16

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

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

Description

Subject matter:
Selected topics from:

Additional appointments

Klausur

HFB/D Hörsaal

Alexander Schmitt

13.02.2020 12:00 - 14:00

Nachklausur

Hs 1a Hörsaal

Alexander Schmitt

07.04.2020 12:00 - 14:00

Appointment series

A3/Hs 001 Hörsaal

Alexander Schmitt

einmal, ab 17.10.2019, 12:00 - 14:00 (15 Termine)

A3/Hs 001 Hörsaal

Alexander Schmitt

einmal, ab 15.10.2019, 12:00 - 14:00 (16 Termine)

Practice seminar for Algebra and Theory of Numbers

LV: 19200702

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2 SWS

Jonathan Kliem

Practice seminar

Submod: 0084bC1.6.2

Akt: 03.07.2023 09:16

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

Thu, 10:00 - 12:00 (A3/SR 210 Seminarraum)

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

Algorithms, Data Structures, and Data Abstraction

LV: 19300201

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4 SWS

Günther Rothe

Lecture

Submod: 0084bC6.2.1

Akt: 06.07.2020 10:05

Tue, 14:00 - 16:00 (T9/Gr. Hörsaal)

Thu, 14:00 - 16:00 (T9/Gr. Hörsaal)

Description

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

References

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

Additional appointments

Klausur

HFB/A Hörsaal

HFB/B Hörsaal

HFB/C Hörsaal

HFB/D Hörsaal

Günther Rothe

18.02.2020 14:00 - 16:00

Nachklausur (Termin findet im L 113 , L 115 Seminarzentrum statt)

L 113 Seminarzentrum (ohne Fenster)

L 115 Seminarzentrum

Günther Rothe

26.06.2020 10:00 - 12:00

Nachklausur

Hs 1a Hörsaal

Günther Rothe

13.08.2020 10:00 - 12:00

Appointment series

T9/Gr. Hörsaal

Günther Rothe

einmal, ab 15.10.2019, 14:00 - 16:00 (16 Termine)

T9/Gr. Hörsaal

Günther Rothe

einmal, ab 17.10.2019, 14:00 - 16:00 (16 Termine)

Practice seminar for Algorithms, Data Structures, and Data Abstraction

LV: 19300202

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2 SWS

Günther Rothe

Practice seminar

Submod: 0084bC6.2.2

Akt: 30.10.2019 18:00

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

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

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

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

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

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

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

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

Mon, 10:00 - 12:00 ()

Additional appointments

Appointment series

T9/053 Seminarraum

Günther Rothe

einmal, ab 17.10.2019, 12:00 - 14:00 (16 Termine)

T9/SR 006 Seminarraum

Günther Rothe

einmal, ab 17.10.2019, 12:00 - 14:00 (16 Termine)

T9/051 Seminarraum

Günther Rothe

einmal, ab 16.10.2019, 08:00 - 10:00 (16 Termine)

T9/051 Seminarraum

Günther Rothe

einmal, ab 18.10.2019, 14:00 - 16:00 (16 Termine)

T9/053 Seminarraum

Günther Rothe

einmal, ab 15.10.2019, 10:00 - 12:00 (16 Termine)

T9/053 Seminarraum

Günther Rothe

einmal, ab 18.10.2019, 08:00 - 10:00 (16 Termine)

T9/049 Seminarraum

Günther Rothe

einmal, ab 15.10.2019, 12:00 - 14:00 (16 Termine)

T9/053 Seminarraum

Günther Rothe

einmal, ab 17.10.2019, 08:00 - 10:00 (16 Termine)

Günther Rothe

einmal, ab 14.10.2019, 10:00 - 12:00 (16 Termine)

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

Seminar zur Numerischen Mathematik

LV: 19241811

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2 SWS

Ralf Kornhuber

Seminar

Submod: 0084dB2.10.1

Akt: 03.07.2023 09:16

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

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

Computational Algebraic Geometry

LV: 19242801

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4 SWS

Christian Haase

Lecture

Submod: 0084dB2.11.1

Akt: 06.03.2020 14:00

Mon, 08:00 - 13:00 (A6/SR 032 Seminarraum)

Mon, 08:00 - 10:00 (A3/ 024 Seminarraum )

Fri, 08:00 - 10:00 (A3/ 024 Seminarraum )

Description

This course will cover the basics of computational algebraic geometry, including the core algorithms in the subject, as well as introduce some of the most common algebraic varieties which occur in applications. We will gain familiarity with software for algebraic geometry, including the systems Macaulay 2, Singular, Bertini, and PHCpack. Students will complete a final project in the subject which will be presented to the class in lieu of a final exam. Grading will be based on final projects and some written/computer work through the term.

Expected topics to cover:

Algebraic-geometric dictionary
Resultants and elimination
Gröbner bases, including algorithms based on Groebner bases
Solving polynomial systems symbolically
Solving systems of polynomial equations using numerical continuation
Certification of numerical solutions. Smale's α-theory
Numerical algebraic geometry. Witness sets and numerical irreducible decomposition
Real root counting. Sturm's theorem. Fewnomial theory
Toric ideals
Toric degenerations and Khovanskii bases

Additional appointments

A6/SR 032 Seminarraum

Christian Haase

17.03.2020 10:00 - 16:00

A6/SR 032 Seminarraum

Christian Haase

20.03.2020 09:00 - 15:00

Appointment series

A6/SR 032 Seminarraum

Christian Haase

einmal, ab 02.03.2020, 08:00 - 13:00 (5 Termine)

A3/ 024 Seminarraum

Christian Haase

einmal, ab 09.12.2019, 08:00 - 10:00 (8 Termine)

A3/ 024 Seminarraum

Christian Haase

einmal, ab 13.12.2019, 08:00 - 10:00 (8 Termine)

Practice seminar for Computational Algebraic Geometry

LV: 19242802

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2 SWS

Christian Haase

Practice seminar

Submod: 0084dB2.11.2

Akt: 25.10.2019 14:00

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

Module: Algebra I (0084dB3.3)

Basic Module: Algebra I

LV: 19202501

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4 SWS

Alexandru Constantinescu

Lecture

Submod: 0084aC1.1.1

Akt: 24.06.2020 14:28

Mon, 10:00 - 14:00 (A6/SR 032 Seminarraum)

Description

Affine algebraic varieties
Rings, ideals, and modules
Noetherian rings
Local rings and localization
Primary decompositione
Finite and integral extensions
Dimension theory
Regular rings

Target Group
Students with the prerequisites mentioned below.

Prerequisites

Linear Algebra I+II
Algebra and Number Theory

Literature

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

Homepage: Prof. Altmann

Additional appointments

Klausur

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

Alexandru Constantinescu

12.02.2020 12:00 - 14:00

Nachklausur (Klausur findet im L 115 Seminarzentrum statt)

L 115 Seminarzentrum

Alexandru Constantinescu

30.06.2020 09:00 - 11:00

Appointment series

A6/SR 032 Seminarraum

Alexandru Constantinescu

einmal, ab 14.10.2019, 10:00 - 14:00 (16 Termine)

Practice seminar for Basic Module: Algebra I

LV: 19202502

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2 SWS

Alexandru Constantinescu

Practice seminar

Submod: 0084aC1.1.2

Akt: 14.10.2019 18:00

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

Module: Numerical Mathematics II (0084dB3.4)

Basic Module: Numeric II

LV: 19202101

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4 SWS

Ralf Kornhuber

Lecture

Submod: 0084bC5.1.1

Akt: 18.10.2019 14:00

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

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

Description

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

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

Webseite: http://numerik.mi.fu-berlin.de/wiki/WS_2019/NumericsII.php

Additional appointments

Klausur

T9/Gr. Hörsaal

Ralf Kornhuber

10.02.2020 14:00 - 16:00

Nachklausur

T9/Gr. Hörsaal

Ralf Kornhuber

03.04.2020 10:00 - 12:00

Appointment series

A6/SR 007/008 Seminarraum

Ralf Kornhuber

einmal, ab 14.10.2019, 14:00 - 16:00 (15 Termine)

A6/SR 007/008 Seminarraum

Ralf Kornhuber

einmal, ab 15.10.2019, 14:00 - 16:00 (16 Termine)

Practice seminar for Basic Module: Numeric II

LV: 19202102

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2 SWS

Ralf Kornhuber

Xingjian Zhang-Schneider

Practice seminar

Submod: 0084bC5.1.2

Akt: 14.05.2020 12:00

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

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

Advanced Algorithms

LV: 19303501

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4 SWS

Wolfgang Mulzer

Katharina Klost

Lecture

Submod: 0084dB3.7.1

Akt: 24.06.2020 14:39

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

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

Description

The class focuses on topics such as

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

References

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

Additional information

Target audience

All Master and Bachelor students who are interested in algorithms.

Prerequisites

Basic familiarity with the design and analysis of algorithms.

Additional appointments

Wolfgang Mulzer

Katharina Klost

02.12.2019 10:00 - 12:00

Klausur

T9/SR 005 Übungsraum

T9/Gr. Hörsaal

Wolfgang Mulzer

Katharina Klost

17.02.2020 14:00 - 16:00

Einsicht

T9/055 Seminarraum

Wolfgang Mulzer

Katharina Klost

20.02.2020 14:00 - 15:00

Nachklausur (der Termin findet im Raum L115, Seminarzentrum, Otto-von Simson Str.26 statt)

L 115 Seminarzentrum

Wolfgang Mulzer

Katharina Klost

03.08.2020 10:00 - 12:00

Appointment series

T9/SR 005 Übungsraum

Wolfgang Mulzer

Katharina Klost

einmal, ab 18.10.2019, 10:00 - 12:00 (16 Termine)

T9/053 Seminarraum

Wolfgang Mulzer

Katharina Klost

einmal, ab 14.10.2019, 10:00 - 12:00 (16 Termine)

Practice seminar for Advanced Algorithms

LV: 19303502

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2 SWS

Wolfgang Mulzer

Katharina Klost

Practice seminar

Submod: 0084dB3.7.2

Akt: 18.10.2019 16:00

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

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

Module: Analysis I (0084dA1.1)

Analysis I

LV: 19202801

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4 SWS

Klaus Ecker

Lecture

Submod: 0084aA1.1.1

Akt: 29.06.2020 14:05

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

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

Description

Grundlagen, Elementare Logik, Geordnete Paare, Relationen, Funktionen, Definitionsbereich und Wertebereich einer Funktion. Umkehrfunktion (Injektivität, Surjektivität).
Zahlen. Vollständige Induktion. Rechnen in R, C.
Anordnung von R. Maximum und Minimum, Supremum und Infimum reeller Mengen. Supremums/Infimums-Vollständigkeit von R. Betrag einer reellen Zahl. Q ist dicht in R.
Folgen und Reihen. Grenzwerte, Cauchyfolgen. Konvergenzkriterien. Reihen und grundlegende Konvergenzprinzipien.
Topologische Aspekte von R. Offene, abgeschlossene und kompakte reelle Mengen.
Funktionenfolgen, Funktionenreihen, Potenzreihen.
Eigenschaften von Funktionen. Beschränktheit, Monotonie. Konvexität.
Stetigkeit. Grenzwerte und Stetigkeit von Funktionen. Gleichmäßige Stetigkeit. Zwischenwertsätze. Stetigkeit und Kompaktheit.
Differenzierbarkeit. Begriff der Ableitung. Differentiationsregeln. Mittelwertsätze. Lokale und globale Extrema. Krümmung. Monotonie. Konvexität.
Elementare Funktionen. Rationale Funktionen. Wurzelfunktionen. Exponentialfunktionen. Winkelfunktionen, Hyperbolische Funktionen. Reeller Logarithmus. Reelle Arcus-Funktionen. Kurvendiskussionen.
Anfänge der Integralrechnung

References

Spivak: Calculus
Abott: Understanding Analysis
Forster: Analysis I
Hildebrandt: Analysis I

Additional appointments

Nachklausur

Speisesaal Mensa II

Virtueller Raum 03

Klaus Ecker

02.07.2020 13:00 - 15:00

Appointment series

A3/Hs 001 Hörsaal

Klaus Ecker

einmal, ab 17.10.2019, 10:00 - 12:00 (16 Termine)

A3/Hs 001 Hörsaal

Klaus Ecker

einmal, ab 15.10.2019, 10:00 - 12:00 (16 Termine)

Practice seminar for Analysis I

LV: 19202802

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2 SWS

Klaus Ecker

Practice seminar

Submod: 0084aA1.1.2

Akt: 29.10.2019 14:00

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

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

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

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

Additional appointments

Appointment series

A6/SR 009 Seminarraum

Klaus Ecker

einmal, ab 16.10.2019, 10:00 - 12:00 (16 Termine)

A6/SR 025/026 Seminarraum

Klaus Ecker

einmal, ab 16.10.2019, 10:00 - 12:00 (16 Termine)

KöLu24-26/SR 006 Neuro/Mathe

Klaus Ecker

einmal, ab 16.10.2019, 14:00 - 16:00 (16 Termine)

A3/SR 130 Seminarraum (Hinterhaus)

Klaus Ecker

einmal, ab 16.10.2019, 12:00 - 14:00 (16 Termine)

Module: Analysis II (0084dA1.2)

Analysis II

LV: 19211601

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4 SWS

Konrad Polthier

Lecture

Submod: 0084cA1.2.1

Akt: 25.06.2020 14:30

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

HFB/B Hörsaal

Konrad Polthier

20.02.2020 10:00 - 12:00

Nachklausur

T9/Gr. Hörsaal

Konrad Polthier

02.04.2020 10:00 - 12:00

Nachklausur

Virtueller Raum 01

Konrad Polthier

06.07.2020 10:00 - 12:00

Appointment series

T9/SR 005 Übungsraum

Konrad Polthier

einmal, ab 17.10.2019, 10:00 - 12:00 (16 Termine)

T9/SR 005 Übungsraum

Konrad Polthier

einmal, ab 15.10.2019, 10:00 - 12:00 (16 Termine)

Practice seminar for Analysis II

LV: 19211602

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2 SWS

Konrad Polthier

Practice seminar

Submod: 0084cA1.2.2

Akt: 25.09.2019 18:00

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

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

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

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

Additional appointments

Appointment series

A7/SR 140 Seminarraum (Hinterhaus)

Konrad Polthier

einmal, ab 16.10.2019, 08:00 - 10:00 (16 Termine)

A3/SR 130 Seminarraum (Hinterhaus)

Konrad Polthier

einmal, ab 17.10.2019, 08:00 - 10:00 (16 Termine)

A3/SR 130 Seminarraum (Hinterhaus)

Konrad Polthier

einmal, ab 16.10.2019, 14:00 - 16:00 (16 Termine)

A6/SR 009 Seminarraum

Konrad Polthier

einmal, ab 17.10.2019, 16:00 - 18:00 (16 Termine)

Module: Analysis III (0084dA1.3)

Analysis III

LV: 19201301

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4 SWS

Péter Koltai

Lecture

Submod: 0084aA1.3.1

Akt: 30.06.2020 12:00

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

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

Description

References

Literatur

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

und für geschichtlich Interessierte:

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

Additional appointments

Analysis III

A6/SR 007/008 Seminarraum

Péter Koltai

06.02.2020 16:00 - 17:00

Klausur

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

Péter Koltai

19.02.2020 10:00 - 12:00

Nachklausur

A3/Hs 001 Hörsaal

Péter Koltai

31.08.2020 13:30 - 15:30

Appointment series

A6/SR 031 Seminarraum

Péter Koltai

einmal, ab 17.10.2019, 10:00 - 12:00 (16 Termine)

A6/SR 031 Seminarraum

Péter Koltai

einmal, ab 16.10.2019, 10:00 - 12:00 (16 Termine)

Practice seminar for Analysis III

LV: 19201302

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2 SWS

Robert Malte Polzin

Luzie Helfmann

Péter Koltai

Practice seminar

Submod: 0084aA1.3.2

Akt: 11.05.2020 14:00

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

Wed, 08:00 - 10:00 (A3/ 024 Seminarraum )

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

Additional appointments

Robert Malte Polzin

Luzie Helfmann

Péter Koltai

30.10.2019 12:00 - 14:00

Appointment series

A6/SR 009 Seminarraum

Robert Malte Polzin

Luzie Helfmann

Péter Koltai

einmal, ab 15.10.2019, 12:00 - 14:00 (16 Termine)

A3/ 024 Seminarraum

Robert Malte Polzin

Luzie Helfmann

Péter Koltai

einmal, ab 16.10.2019, 08:00 - 10:00 (16 Termine)

A6/SR 009 Seminarraum

Robert Malte Polzin

Luzie Helfmann

Péter Koltai

einmal, ab 16.10.2019, 12:00 - 14:00 (16 Termine)

Module: Linear Algebra I (0084dA1.4)

Linear Algebra I

LV: 19201401

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4 SWS

Rainer Sinn

Lecture

Submod: 0084aA2.1.1

Akt: 03.02.2020 16:00

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

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

Additional appointments

Klausur

Hs 1a Hörsaal

Rainer Sinn

21.02.2020 09:00 - 12:00

Klausur

Hs 1a Hörsaal

Rainer Sinn

21.02.2020 12:00 - 13:00

Nachklausur

HFB/A Hörsaal

Rainer Sinn

03.04.2020 09:00 - 13:00

Appointment series

A3/Hs 001 Hörsaal

Rainer Sinn

einmal, ab 16.10.2019, 08:00 - 10:00 (16 Termine)

A3/Hs 001 Hörsaal

Rainer Sinn

einmal, ab 14.10.2019, 08:00 - 10:00 (16 Termine)

Practice seminar for Linear Algebra I

LV: 19201402

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2 SWS

Rainer Sinn

Practice seminar

Submod: 0084aA2.1.2

Akt: 29.10.2019 14:00

Thu, 14:00 - 16:00 ()

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

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

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

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

Additional appointments

Appointment series

Rainer Sinn

einmal, ab 24.10.2019, 14:00 - 16:00 (15 Termine)

A7/SR 031

Rainer Sinn

einmal, ab 17.10.2019, 10:00 - 12:00 (16 Termine)

A3/SR 119

Rainer Sinn

einmal, ab 23.10.2019, 10:00 - 12:00 (15 Termine)

A3/019 Seminarraum

Rainer Sinn

einmal, ab 14.10.2019, 14:00 - 16:00 (16 Termine)

A6/SR 032 Seminarraum

Rainer Sinn

einmal, ab 16.10.2019, 12:00 - 14:00 (16 Termine)

Module: Linear Algebra II (0084dA1.5)

Linear Algebra II

LV: 19211701

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4 SWS

Dirk Werner

Lecture

Submod: 0084cA1.5.1

Akt: 24.06.2020 14:33

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

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

Description

Contents:

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

Prerequisites: Linear Algebra I

Literature:

Will be mentioned in the lecture.

Additional information

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

Additional appointments

Klausur

Hs 2 Hörsaal

Dirk Werner

19.02.2020 12:00 - 14:00

Nachklausur (der Termin findet in der Mensa statt)

Speisesaal Mensa II

Dirk Werner

29.06.2020 16:00 - 18:00

Appointment series

A3/Hs 001 Hörsaal

Dirk Werner

einmal, ab 18.10.2019, 08:00 - 10:00 (16 Termine)

A3/Hs 001 Hörsaal

Dirk Werner

einmal, ab 16.10.2019, 12:00 - 14:00 (16 Termine)

Practice seminar for Linear Algebra II

LV: 19211702

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2 SWS

Dirk Werner

Practice seminar

Submod: 0084cA1.5.2

Akt: 25.09.2019 18:00

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

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

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

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

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Dirk Werner

einmal, ab 17.10.2019, 08:00 - 10:00 (16 Termine)

A6/SR 032 Seminarraum

Dirk Werner

einmal, ab 18.10.2019, 12:00 - 14:00 (16 Termine)

A3/ 024 Seminarraum

Dirk Werner

einmal, ab 18.10.2019, 10:00 - 12:00 (16 Termine)

A3/019 Seminarraum

Dirk Werner

einmal, ab 17.10.2019, 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

Carsten Gräser

Lecture

Submod: 0084aA3.1.1

Akt: 19.02.2020 15:40

Fri, 12:00 - 14:00 (Gr. Hörsaal (Raum B.001))

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

Nachklausur

HFB/A Hörsaal

Carsten Gräser

01.04.2020 10:00 - 12:00

Appointment series

Gr. Hörsaal (Raum B.001)

Carsten Gräser

einmal, ab 18.10.2019, 12:00 - 14:00 (15 Termine)

Practice seminar for Computerorientated Mathematics I (5 LP)

LV: 19200502

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2 SWS

Carsten Gräser

Lasse Hinrichsen-Bischoff

Practice seminar

Submod: 0084aA3.1.2

Akt: 07.10.2019 16:00

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

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

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

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

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

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

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

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

Additional appointments

Appointment series

A3/ 024 Seminarraum

Carsten Gräser

Lasse Hinrichsen-Bischoff

einmal, ab 17.10.2019, 16:00 - 18:00 (16 Termine)

A3/ 024 Seminarraum

Carsten Gräser

Lasse Hinrichsen-Bischoff

einmal, ab 14.10.2019, 14:00 - 16:00 (16 Termine)

A6/SR 025/026 Seminarraum

Carsten Gräser

Lasse Hinrichsen-Bischoff

einmal, ab 15.10.2019, 12:00 - 14:00 (16 Termine)

T9/049 Seminarraum

Carsten Gräser

Lasse Hinrichsen-Bischoff

einmal, ab 18.10.2019, 14:00 - 16:00 (16 Termine)

A3/ 024 Seminarraum

Carsten Gräser

Lasse Hinrichsen-Bischoff

einmal, ab 16.10.2019, 16:00 - 18:00 (16 Termine)

A3/019 Seminarraum

Carsten Gräser

Lasse Hinrichsen-Bischoff

einmal, ab 14.10.2019, 10:00 - 12:00 (16 Termine)

A3/019 Seminarraum

Carsten Gräser

Lasse Hinrichsen-Bischoff

einmal, ab 14.10.2019, 16:00 - 18:00 (16 Termine)

A3/019 Seminarraum

Carsten Gräser

Lasse Hinrichsen-Bischoff

einmal, ab 18.10.2019, 08:00 - 10:00 (16 Termine)

Module: Stochastics I (0084dA1.8)

Stochastics I

LV: 19200601

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4 SWS

Timothy John Sullivan

Lecture

Submod: 0084bA4.2.1

Akt: 03.07.2023 09:16

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

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

Description

Content

Counting principles; combinatorial principles
Models for processes influenced by chance: probability spaces and probability measures
Conditional probability; independence; Bayes’ rule
Random variables and their distributions; summary statistics of distributions: expected value and variance
Discrete distributions: Laplace distribution; binomial distribution; geometric distributions
Approximation of the binomial distribution by the normal distribution
Approximation of the binomial distribution by the Poisson distribution
Absolutely continuous distributions: densities; the uniform distribution; normal distributions; exponential distribution
Joint distributions of multiple random variables: discrete and with densities; independence; conditional distributions; sums of independent random variables and their distribution
Statistics of multivariate distributions: expected value, covarince and correlation; conditional expectation; characteristic functiona
Limit theorems: weak and strong laws of large numbers; central limit theorem
Data analysis and descriptive statistics: histograms; empirical diatribution; statistics of samples; examples of misleading descriptive statistics; linear regression
Elementary terms and techniques of testing and estimation: Maximum likelihood principle; Confidence intervals; hypotheses tests; Type I and Type II errora

Literature

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 unten aufgeführten Bücher gibt es online über die UB. Dazu gibt es in der Mathebibliothek einen umfangreichen Handapparat zur Stochastik.

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 unten aufgeführten Bücher gibt es online über die UB. Dazu gibt es in der Mathebibliothek einen umfangreichen Handapparat zur Stochastik.

Additional information

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

Additional appointments

Klausur

HFB/A Hörsaal

Timothy John Sullivan

12.02.2020 12:00 - 15:00

Klausur

HFB/A Hörsaal

Timothy John Sullivan

12.02.2020 15:00 - 16:00

Appointment series

A6/SR 031 Seminarraum

Timothy John Sullivan

einmal, ab 17.10.2019, 08:00 - 10:00 (16 Termine)

A6/SR 031 Seminarraum

Timothy John Sullivan

einmal, ab 14.10.2019, 08:00 - 10:00 (16 Termine)

Practice seminar for Stochastics I

LV: 19200602

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2 SWS

Timothy John Sullivan

Practice seminar

Submod: 0084bA4.2.2

Akt: 03.07.2023 09:16

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

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

Tue, 16:00 - 18:00 (A3/SR 210 Seminarraum)

Additional appointments

Appointment series

A3/SR 119

Timothy John Sullivan

einmal, ab 15.10.2019, 08:00 - 10:00 (16 Termine)

A3/ 024 Seminarraum

Timothy John Sullivan

einmal, ab 14.10.2019, 12:00 - 14:00 (16 Termine)

A3/SR 210 Seminarraum

Timothy John Sullivan

einmal, ab 15.10.2019, 16:00 - 18:00 (16 Termine)

Master's programme in Mathematics

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

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

Bifurcations:Theory and Applications

LV: 19242701

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4 SWS

Bernold Fiedler

Lecture

Submod: 0280aA1.2.1

Akt: 27.08.2019 13:00

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

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

Description

Bifurcations address responses of systems when parameters change. In experiments, that parameter may be a knob we turn up or down.
Applications range from patterns in catalysis, embryogenesis, animal gaits, or fluid dynamics, to hysteresis, instabilities of high speed trains, catastrophic climate change, and symmetry breaking in cosmology. Mathematically, failure of the implicit function theorem is a key feature. We will learn about topics and techniques like dimension reduction, elementary catastrophes, Euler's rod, group invariance and equivariance, Hopf bifurcation, subharmonic oscillations, time reversibility, and transitions to homoclinic chaos.

Prerequisite: some introductory course in differential equations, or equivalent courage. The course will adapt to your background, and
fill in gaps when necessary. From semester 5.

For references see the books of [Alligood, Sauer, Yorke],[V.I. Arnold],[Broer, Takens], [Chow, Hale], [Kielhofer], [Yuri Kuznetsov], [Guckenheimer,Holmes], [Marsden, McCracken], [L.P. Shilnikov, A.L. Shilinikov,Turaev], [Vanderbauwhede], and [Wainwright]. But do not read all of that!

Outlook: seminars, bachelor theses, master's theses, and PhD thesis work using Dynamical Systems methods.

See http://dynamics.mi.fu-berlin.de/

Additional appointments

Appointment series

A3/SR 130 Seminarraum (Hinterhaus)

Bernold Fiedler

einmal, ab 17.10.2019, 10:00 - 12:00 (16 Termine)

A3/SR 130 Seminarraum (Hinterhaus)

Bernold Fiedler

einmal, ab 15.10.2019, 10:00 - 12:00 (16 Termine)

Practice seminar for Bifurcations:Theory and Applications

LV: 19242702

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2 SWS

Alejandro Lopez Nieto

Practice seminar

Submod: 0280aA1.2.2

Akt: 25.10.2019 14:00

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

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

Bifurcations:Theory and Applications

LV: 19242701

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4 SWS

Bernold Fiedler

Lecture

Submod: 0280aA1.2.1

Akt: 27.08.2019 13:00

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

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

Description

Prerequisite: some introductory course in differential equations, or equivalent courage. The course will adapt to your background, and
fill in gaps when necessary. From semester 5.

Outlook: seminars, bachelor theses, master's theses, and PhD thesis work using Dynamical Systems methods.

See http://dynamics.mi.fu-berlin.de/

Additional appointments

Appointment series

A3/SR 130 Seminarraum (Hinterhaus)

Bernold Fiedler

einmal, ab 17.10.2019, 10:00 - 12:00 (16 Termine)

A3/SR 130 Seminarraum (Hinterhaus)

Bernold Fiedler

einmal, ab 15.10.2019, 10:00 - 12:00 (16 Termine)

Practice seminar for Bifurcations:Theory and Applications

LV: 19242702

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2 SWS

Alejandro Lopez Nieto

Practice seminar

Submod: 0280aA1.2.2

Akt: 25.10.2019 14:00

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

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

Discrete Geometrie I

LV: 19202001

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4 SWS

Pavle Blagojevic

Lecture

Submod: 0084bC3.1.1

Akt: 27.08.2019 13:02

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

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

Description

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

References

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

Additional information

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

Additional appointments

Appointment series

A6/SR 031 Seminarraum

Pavle Blagojevic

einmal, ab 14.10.2019, 10:00 - 12:00 (16 Termine)

A6/SR 031 Seminarraum

Pavle Blagojevic

einmal, ab 15.10.2019, 10:00 - 12:00 (16 Termine)

Practice seminar for Discrete Geometrie I

LV: 19202002

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2 SWS

Pavle Blagojevic

Practice seminar

Submod: 0084bC3.1.2

Akt: 27.08.2019 13:02

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

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

Advances in Extremal Combinatorics

LV: 19206011

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2 SWS

Tibor Szabo

Seminar

Submod: 0280aA2.3.3

Akt: 18.10.2019 22:00

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

Description

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

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

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

For further information please check the following http://discretemath.imp.fu-berlin.de/DMIIISem-2019-20/

Additional information

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

Additional appointments

Appointment series

A3/SR 119

Tibor Szabo

einmal, ab 15.10.2019, 10:00 - 12:00 (16 Termine)

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

Basic Module: Algebra I

LV: 19202501

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4 SWS

Alexandru Constantinescu

Lecture

Submod: 0084aC1.1.1

Akt: 24.06.2020 14:28

Mon, 10:00 - 14:00 (A6/SR 032 Seminarraum)

Description

Affine algebraic varieties
Rings, ideals, and modules
Noetherian rings
Local rings and localization
Primary decompositione
Finite and integral extensions
Dimension theory
Regular rings

Target Group
Students with the prerequisites mentioned below.

Prerequisites

Linear Algebra I+II
Algebra and Number Theory

Literature

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

Homepage: Prof. Altmann

Additional appointments

Klausur

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

Alexandru Constantinescu

12.02.2020 12:00 - 14:00

Nachklausur (Klausur findet im L 115 Seminarzentrum statt)

L 115 Seminarzentrum

Alexandru Constantinescu

30.06.2020 09:00 - 11:00

Appointment series

A6/SR 032 Seminarraum

Alexandru Constantinescu

einmal, ab 14.10.2019, 10:00 - 14:00 (16 Termine)

Practice seminar for Basic Module: Algebra I

LV: 19202502

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2 SWS

Alexandru Constantinescu

Practice seminar

Submod: 0084aC1.1.2

Akt: 14.10.2019 18:00

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

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

Basic Module: Numeric II

LV: 19202101

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4 SWS

Ralf Kornhuber

Lecture

Submod: 0084bC5.1.1

Akt: 18.10.2019 14:00

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

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

Description

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

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

Webseite: http://numerik.mi.fu-berlin.de/wiki/WS_2019/NumericsII.php

Additional appointments

Klausur

T9/Gr. Hörsaal

Ralf Kornhuber

10.02.2020 14:00 - 16:00

Nachklausur

T9/Gr. Hörsaal

Ralf Kornhuber

03.04.2020 10:00 - 12:00

Appointment series

A6/SR 007/008 Seminarraum

Ralf Kornhuber

einmal, ab 14.10.2019, 14:00 - 16:00 (15 Termine)

A6/SR 007/008 Seminarraum

Ralf Kornhuber

einmal, ab 15.10.2019, 14:00 - 16:00 (16 Termine)

Practice seminar for Basic Module: Numeric II

LV: 19202102

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2 SWS

Ralf Kornhuber

Xingjian Zhang-Schneider

Practice seminar

Submod: 0084bC5.1.2

Akt: 14.05.2020 12:00

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

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: 22.11.2019 14:00

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

Description

Content:

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

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

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

The course will cover a selection from the following topics

1. Conservation laws and governing partial differential equations

2. Numerical methods for geophysical flow simulations

3. Meteorological scale analysis and asymptotics

4. Data-based characterization of atmospheric flows

References

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

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

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

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

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

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

Additional appointments

Appointment series

A3/SR 210 Seminarraum

Rupert Klein

einmal, ab 15.10.2019, 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: 25.10.2019 14:00

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

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: 27.08.2019 13:02

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

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

Description

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

References

Literatur

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

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Holger Reich

einmal, ab 15.10.2019, 10:00 - 12:00 (16 Termine)

A6/SR 007/008 Seminarraum

Holger Reich

einmal, ab 17.10.2019, 10:00 - 12:00 (16 Termine)

Ex.: Basic Module: Topology II

LV: 19206202

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2 SWS

Holger Reich

Gabriel James Angelini-Knoll

Practice seminar

Submod: 0280aA6.2.2

Akt: 18.10.2019 22:00

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

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

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

Basic Module: Algebra I

LV: 19202501

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4 SWS

Alexandru Constantinescu

Lecture

Submod: 0084aC1.1.1

Akt: 24.06.2020 14:28

Mon, 10:00 - 14:00 (A6/SR 032 Seminarraum)

Description

Affine algebraic varieties
Rings, ideals, and modules
Noetherian rings
Local rings and localization
Primary decompositione
Finite and integral extensions
Dimension theory
Regular rings

Target Group
Students with the prerequisites mentioned below.

Prerequisites

Linear Algebra I+II
Algebra and Number Theory

Literature

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

Homepage: Prof. Altmann

Additional appointments

Klausur

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

Alexandru Constantinescu

12.02.2020 12:00 - 14:00

Nachklausur (Klausur findet im L 115 Seminarzentrum statt)

L 115 Seminarzentrum

Alexandru Constantinescu

30.06.2020 09:00 - 11:00

Appointment series

A6/SR 032 Seminarraum

Alexandru Constantinescu

einmal, ab 14.10.2019, 10:00 - 14:00 (16 Termine)

Practice seminar for Basic Module: Algebra I

LV: 19202502

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2 SWS

Alexandru Constantinescu

Practice seminar

Submod: 0084aC1.1.2

Akt: 14.10.2019 18:00

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

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: 27.08.2019 13:00

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

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: 25.10.2019 14:00

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

Module: Forschungsmodul Algebra (0280bA2.4)

Reseach Module: Algebra

LV: 19214611

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2 SWS

Klaus Altmann

Seminar

Submod: 0280bA2.4.1

Akt: 27.08.2019 13:00

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

Description

Literatur

Wird bekanntgegeben.

Additional information

Target group:

Math students

Prerequisites

Algebra I and II

Homepage: Prof. Altmann

Additional appointments

Appointment series

A3/SR 119

Klaus Altmann

einmal, ab 17.10.2019, 14:00 - 16:00 (16 Termine)

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

Discrete Mathematics II - Extremal Comb.

LV: 19208601

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4 SWS

Tibor Szabo

Lecture

Submod: 0280bA3.2.1

Akt: 23.03.2020 12:00

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

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

Description

Extremal Combinatorics investigates the general question: for a given property P, how large/small a set family satisfying P can be? Answers are more often asymptotic than exact, but always beautiful. The underlying base set could be without any structure or be equipped with some (such as the set of integers or a vector space). Many of the fundamental problems of Combinatorics can be formulated in this framework. For example, the optimization of one graph parameter with respect to others is the main object of the subfield of Extremal Graph Theory and is often relevant in theoretical computer science. In this course we cover the classics as well as some important new developments. Besides the standard combinatorial tools we give particular emphasis to the systematic study of various methods that arose from other branches of mathematics. Topics include:

1) Extremal graph theory and the probabilistic method: Ramsey- and Turán- theory, Szemerédi's Regularity Lemma, Roth's Theorem, and further selected topics.
2) Extremal combinatorics and the linear algebraic method: Sperner's Theorem, Kruskal-Katona Theorem, restricted intersections and applications, sunflowers and cap-sets.
3) Topological methods: Sperner's Lemma, independent transversals, and Kneser's conjecture.

References

The material is selected from several textbooks:

N. Alon and J. Spencer, The Probabilistic Method
L. Babai and P. Frankl, Linear Algebra Methods in Combinatorics
R. Diestel, Graph Theory
S. Jukna, Extremal Combinatorics
J. Matoušek, Using the Borsuk-Ulam Theorem
J. van Lint and R. Wilson, A Course in Combinatorics
D. West, Introduction to Graph Theory

Additional appointments

Klausur

T9/Gr. Hörsaal

Tibor Szabo

20.02.2020 09:00 - 12:00

Appointment series

A6/SR 032 Seminarraum

Tibor Szabo

einmal, ab 15.10.2019, 12:00 - 14:00 (16 Termine)

A6/SR 032 Seminarraum

Tibor Szabo

einmal, ab 17.10.2019, 12:00 - 14:00 (16 Termine)

Practice seminar for Discrete Mathematics II - Extremal Comb.

LV: 19208602

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2 SWS

Tibor Szabo

Practice seminar

Submod: 0280bA3.2.2

Akt: 27.08.2019 13:00

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

Thu, 08:00 - 10:00 (A3/ 024 Seminarraum )

Optimization I

LV: 19234401

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4 SWS

Ralf Borndörfer

Lecture

Submod: 0280bA3.2.1

Akt: 12.09.2020 04:00

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

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

Description

This course implements an algorithmic branch of discrete math. It teaches algorithmic graph theory and linear programming.

Overview

Week 1 (Independence Systems): Independence Systems, Rank, Matroids, Greedy Min/Max/Dual, Edmonds-Rado-Thm, Rank Quotient

Week 2 (Branchings): Arborescences, Branchings, Edmonds Alg.

Week 3 (Complexity): Encoding Length, Run Time of Algorithms, Classes P, NP, co-NP, NP-Completness, SAT, Reductions

Week 4 (Shortest Paths): Dijkstra Alg., [A* Alg.], Bellman Recursion, Floyd-Warshall Alg.

Week 5 (Minimum Mean Cycles): Karp Alg.

Week 6 (Maximum Flows): Menger, Augmenting Paths, Edmonds-Karp Alg. Max Flow Min Cut Thm, [Blocking Flows, Dinics Alg.]

Week 7 (Minimum Cost Flows): Generalized Max Flow Min Cut Thm, Equiv. to Transportation Problem, Residual Graph, Min. Mean Cycle Cancelling Alg., Sucessive Shortest Path Alg.

Week 8 (Matchings): Alternating and Augmenting Paths, Hopcroft-Karp Alg. (for the Cardinality Case)

Week 9 (Polyhedra): Polyhedra, Valid Inequalities, Faces and Facets, Vertices and Extreme Rays, H and V Representation, Caratheodory Thm

Week 10 (Fesibility): Fourier-Motzkin Elimination, Alternative Thms, Farkas Lemma, Redundancy, Degeneracy, Transformations of Polyhedra

Week 11 (Bases): Equality Set, Dimension, Basis, Vertices and Bases

Week 12 (Linear Programs): Primal/Dual LP, Week Duality, Standard Form, Optimality Criterion, Strong Duality, Complementary Slackness

Week 13 (Simplex I): Tableau, Revised Simplex Method, Degenerary, Finiteness, Worst-Case Behavior

Week 14 (Simplex II): Dual Simplex, Sensitivity Analysis

Week 15 (Interior Point Algorithms and Ellipsoid Method, Overview only): Primal-Dual Formulation, Barrier Problem, KKT-Systen, Central Path, Path Following Methods, Run Time, Ellipsoids, Volume, Löwner-John-Ellipsoid, Ellpsoid Method, Run Time

Week 16 (Reserve Time, Wrap up, and Exam)

References

B. Korte, J. Vygen, Combinatorial Optimization, Springer 2018

V. Chvátal, Linear Programming, Freeman 1983

Additional information

This course has a significant overlap in material with the Algorithmic Combinatorics course. For this reason, if both of these 10LP courses are taken by a student, then they together can only be accounted for 15LP in the final listing of the student's Master moduls to be presented to the Exam Office. (One of them 10LP Discrete Mathematics II, the other 5LP Ergaenzungsmodul).

Prerequisite: Discrete Math I, Linare Algebra I-II, and Analysis I-II or consent of lecturer.

Some exercises require basic programming and computing capabilities.

The exam will take place during the last lecture of the Semester.

The second exam will take place in the week before the lectures are resumed at the time of the second lecture of a week.

Additional appointments

Klausur

Ralf Borndörfer

19.10.2020 10:00 - 12:00

Appointment series

A6/SR 032 Seminarraum

Ralf Borndörfer

einmal, ab 18.10.2019, 14:00 - 16:00 (16 Termine)

A6/SR 032 Seminarraum

Ralf Borndörfer

einmal, ab 14.10.2019, 14:00 - 16:00 (16 Termine)

Optimization I Tutorial

LV: 19234402

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2 SWS

Ralf Borndörfer

Practice seminar

Submod: 0280bA3.2.2

Akt: 25.10.2019 14:00

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

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

Discrete Geometrie I

LV: 19202001

a.SAP verarbeitet

4 SWS

Pavle Blagojevic

Lecture

Submod: 0084bC3.1.1

Akt: 27.08.2019 13:02

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

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

Description

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

References

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

Additional information

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

Additional appointments

Appointment series

A6/SR 031 Seminarraum

Pavle Blagojevic

einmal, ab 14.10.2019, 10:00 - 12:00 (16 Termine)

A6/SR 031 Seminarraum

Pavle Blagojevic

einmal, ab 15.10.2019, 10:00 - 12:00 (16 Termine)

Practice seminar for Discrete Geometrie I

LV: 19202002

a.SAP verarbeitet

2 SWS

Pavle Blagojevic

Practice seminar

Submod: 0084bC3.1.2

Akt: 27.08.2019 13:02

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

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

Advanced Module: Discrete Geometry III

LV: 19205901

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2 SWS

Matthias Beck

Lecture

Submod: 0280bA3.6.1

Akt: 30.09.2019 18:00

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

Description

This is the third in a series of three courses on discrete geometry. This advanced course will cover a selection of topics from enumerative geometric combinatorics:

* Lattice structure of rational polyhedra
* Rational generating functions
* Hyperplane arrangements
* Applications to combinatorial number theory, poset theory, and partition analysis

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

A3/SR 119

Matthias Beck

einmal, ab 15.10.2019, 12:00 - 14:00 (16 Termine)

Practice seminar for Advanced Module: Discrete Geometry III

LV: 19205902

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2 SWS

Matthias Beck

Practice seminar

Submod: 0280bA3.6.2

Akt: 30.09.2019 18:00

Thu, 12:00 - 14:00 (1.1.16 FB-Raum)

Module: Forschungsmodul Diskrete Mathematik (0280bA3.7)

Advances in Extremal Combinatorics

LV: 19206011

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2 SWS

Tibor Szabo

Seminar

Submod: 0280aA2.3.3

Akt: 18.10.2019 22:00

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

Description

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

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

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

For further information please check the following http://discretemath.imp.fu-berlin.de/DMIIISem-2019-20/

Additional information

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

Additional appointments

Appointment series

A3/SR 119

Tibor Szabo

einmal, ab 15.10.2019, 10:00 - 12:00 (16 Termine)

Module: Forschungsmodul Diskrete Geometrie (0280bA3.8)

Seminar Discrete Geometry

LV: 19216911

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2 SWS

Rainer Sinn

Seminar

Submod: 0280bA3.8.1

Akt: 27.08.2019 13:02

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

Description

The main theme of the seminar will be shellability of simplicial complexes.

Shellability is a fundamental property of polytopes and of some simplicial complexes that allows to construct these combinatorial objects by tidily gluing together their maximal faces.
Bruggesser and Mani (1970) proved that the boundary complex of every simplicial polytope is shellable. This fact was then used to prove the Euler-Poincare´ formula, which says that the alternating sum of the number f_i of i-dimensional faces of a convex polytope is zero. This is an extension of the well- known Euler formula for 3-polytopes: v-e+f=2, where v, e and f are the number of vertices, edges and maximal faces of the polytope.

From the f-vector, whose components are the numbers f_i, one can compute another vector, called h-vector, whose components count the number of certain facets in a shellable simplicial complex. The components of the h-vector of the boundary of a simplicial polytope are symmetric (they satisfy the Dehn-Sommerville equations).

Another crucial application of shellability is the Upper Bound Theorem, proved by McMullen in 1970, which states that the maximal number of k-faces for a d-polytope with n vertices is attained by the cyclic polytope.
In the setting of simplicial complexes, shellability is a strong property in the hierarchy of pure complexes: vertex-decomposable => shellable => constructible => Cohen-Macaulay, and each of these classes of simplicial complexes is interesting by its own.

Reisner (1976) gave a beautiful topological characterization of Cohen-Macaulay complexes in terms of the homology of the links of their faces. This was the starting point of the Stanley-Reisner theory that connects simplicial complexes to monomial ideals.
Shellability, unlike Cohen-Macaulayness, is independent of the field. However, there are interesting examples of complexes that are Cohen-Macaulay over every field, but are not shellable.

Moreover, even if shellability is a combinatorial property, it depends on the triangulation of the complex: there exist, for example, non-shellable triangulations of the 3-ball and of the 3-sphere.

Additional information

Das Seminar findet zeitlich in Absprache mit den Teilnehmern statt.

Additional appointments

Appointment series

A7/SR 140 Seminarraum (Hinterhaus)

Rainer Sinn

einmal, ab 17.10.2019, 10:00 - 12:00 (16 Termine)

Module: Basismodul Topologie II (0280bA4.2)

Basic Module: Topology II

LV: 19206201

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4 SWS

Holger Reich

Lecture

Submod: 0280aA6.2.1

Akt: 27.08.2019 13:02

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

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

Description

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

References

Literatur

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

Additional appointments

Appointment series

A6/SR 007/008 Seminarraum

Holger Reich

einmal, ab 15.10.2019, 10:00 - 12:00 (16 Termine)

A6/SR 007/008 Seminarraum

Holger Reich

einmal, ab 17.10.2019, 10:00 - 12:00 (16 Termine)

Ex.: Basic Module: Topology II

LV: 19206202

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2 SWS

Holger Reich

Gabriel James Angelini-Knoll

Practice seminar

Submod: 0280aA6.2.2

Akt: 18.10.2019 22:00

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

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

Basic Module: Numeric II

LV: 19202101

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4 SWS

Ralf Kornhuber

Lecture

Submod: 0084bC5.1.1

Akt: 18.10.2019 14:00

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

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

Description

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

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

Webseite: http://numerik.mi.fu-berlin.de/wiki/WS_2019/NumericsII.php

Additional appointments

Klausur

T9/Gr. Hörsaal

Ralf Kornhuber

10.02.2020 14:00 - 16:00

Nachklausur

T9/Gr. Hörsaal

Ralf Kornhuber

03.04.2020 10:00 - 12:00

Appointment series

A6/SR 007/008 Seminarraum

Ralf Kornhuber

einmal, ab 14.10.2019, 14:00 - 16:00 (15 Termine)

A6/SR 007/008 Seminarraum

Ralf Kornhuber

einmal, ab 15.10.2019, 14:00 - 16:00 (16 Termine)

Practice seminar for Basic Module: Numeric II

LV: 19202102

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2 SWS

Ralf Kornhuber

Xingjian Zhang-Schneider

Practice seminar

Submod: 0084bC5.1.2

Akt: 14.05.2020 12:00

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

Module: Aufbaumodul Numerik IV (0280bA5.3)

Advanced Module: Numerics IV (Advanced finite elements)

LV: 19206401

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2 SWS

Carsten Gräser

Lecture

Submod: 0280bA5.3.1

Akt: 27.08.2019 13:02

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

Description

Content:

The lecture will discuss advanced aspects of finite element (FE) discretizations for partial differential equation. This incorporates theoretical aspects as well as implementation aspects. On the theoretical side we will e.g. discuss discontinuous Galerkin methods which, among other advantages, allow for highly efficient higher order methods. Another aspects will be C^1 finite elements for fourth order problems. On the practical side we will discuss the impelemntation of finite elements in C++. We will cover some basics of C++, prototypical implementations, and finally introduce into the modern FE library Dune.

Target audience:
This lecture is based on the course "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 course on "Numerical methods for partial differential equations (Numerik III)". Computer Science students interested in numerical software develpoment with C++ are also welcome.

Homepage: More Information can be found on the homepage.

Additional appointments

Appointment series

A3/SR 130 Seminarraum (Hinterhaus)

Carsten Gräser

einmal, ab 17.10.2019, 12:00 - 14:00 (16 Termine)

Practice seminar for Advanced Module: Numerics IV (Advanced finite elements)

LV: 19206402

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2 SWS

Carsten Gräser

Practice seminar

Submod: 0280bA5.3.2

Akt: 27.08.2019 13:02

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

Mathematical Modelling in Climate Research

LV: 19215301

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2 SWS

Rupert Klein

Lecture

Submod: 0280aA4.3.1

Akt: 22.11.2019 14:00

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

Description

Content:

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

The course will cover a selection from the following topics

1. Conservation laws and governing partial differential equations

2. Numerical methods for geophysical flow simulations

3. Meteorological scale analysis and asymptotics

4. Data-based characterization of atmospheric flows

References

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

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

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

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

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

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

Additional appointments

Appointment series

A3/SR 210 Seminarraum

Rupert Klein

einmal, ab 15.10.2019, 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: 25.10.2019 14:00

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

Module: Forschungsmodul Numerische Mathematik (0280bA5.4)

Randomized Linear Algebra

LV: 19242311

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2 SWS

Péter Koltai

Seminar

Submod: 0280bA5.4.1

Akt: 25.10.2019 14:00

Wed, 14:00 - 15:30 (A7/SR 140 Seminarraum (Hinterhaus))

Description

Motivated largely by technological developments that generate extremely large scientific and Internet data sets, recent years have witnessed exciting developments in the theory and practice of matrix algorithms. Particularly remarkable is the use of randomization—typically assumed to be a property of the input data due to, e.g., noise in the data generation mechanisms—as an algorithmic or computational resource for the development of improved algorithms for fundamental matrix problems such as matrix multiplication, least-squares (LS) approximation, low-rank matrix approximation, etc. From an applied perspective, RandNLA is a vital new tool for machine learning, statistics, and data analysis.

In this seminar we will aquire knowledge of the core concepts of RandNLA and develop its fundamental algorithms.

References

Additional information

Additional appointments

Appointment series

A7/SR 140 Seminarraum (Hinterhaus)

Péter Koltai

einmal, ab 16.10.2019, 14:00 - 15:30 (16 Termine)

Module: Basismodul Differentialgleichungen II (0280bA6.2)

Partial Differential Equations II

LV: 19242001

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4 SWS

Ahmad Al-Afuni

Lecture

Submod: 0280bA6.2.1

Akt: 21.01.2020 18:00

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

Description

This course will mainly deal with linear partial differential equations (PDE), and will build in particular on the material of the course Partial Differential Equations I as taught in the summer semesters of 2011, 2013, 2015, 2017 and 2019. The content is a selection of the following:

Weak solutions; existence, regularity, eigenvalues and eigenfunctions
Theory of linear elliptic partial differential equations.
Classical solutions; Schauder theory.
Maximum and comparison principles.
De Giorgi – Nash theorem
Leray-Schauder theory; existence and regularity of solutions.

Prerequisites: Partial Differential Equations I

Additional appointments

Klausur

A3/ 024 Seminarraum

Ahmad Al-Afuni

12.02.2020 10:00 - 16:00

Appointment series

A6/SR 007/008 Seminarraum

Ahmad Al-Afuni

einmal, ab 16.10.2019, 10:00 - 14:00 (15 Termine)

Practice seminar for Partial Differential Equations II

LV: 19242002

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2 SWS

Ahmad Al-Afuni

Practice seminar

Submod: 0280bA6.2.2

Akt: 27.08.2019 13:00

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

Bifurcations:Theory and Applications

LV: 19242701

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4 SWS

Bernold Fiedler

Lecture

Submod: 0280aA1.2.1

Akt: 27.08.2019 13:00

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

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

Description

Prerequisite: some introductory course in differential equations, or equivalent courage. The course will adapt to your background, and
fill in gaps when necessary. From semester 5.

Outlook: seminars, bachelor theses, master's theses, and PhD thesis work using Dynamical Systems methods.

See http://dynamics.mi.fu-berlin.de/

Additional appointments

Appointment series

A3/SR 130 Seminarraum (Hinterhaus)

Bernold Fiedler

einmal, ab 17.10.2019, 10:00 - 12:00 (16 Termine)

A3/SR 130 Seminarraum (Hinterhaus)

Bernold Fiedler

einmal, ab 15.10.2019, 10:00 - 12:00 (16 Termine)

Practice seminar for Bifurcations:Theory and Applications

LV: 19242702

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2 SWS

Alejandro Lopez Nieto

Practice seminar

Submod: 0280aA1.2.2

Akt: 25.10.2019 14:00

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

Module: Ergänzungsmodul Ausgewählte Themen (0280bA7.1)

Basic Module: Algebra I

LV: 19202501

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4 SWS

Alexandru Constantinescu

Lecture

Submod: 0084aC1.1.1

Akt: 24.06.2020 14:28

Mon, 10:00 - 14:00 (A6/SR 032 Seminarraum)

Description

Affine algebraic varieties
Rings, ideals, and modules
Noetherian rings
Local rings and localization
Primary decompositione
Finite and integral extensions
Dimension theory
Regular rings

Target Group
Students with the prerequisites mentioned below.

Prerequisites

Linear Algebra I+II
Algebra and Number Theory

Literature

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

Homepage: Prof. Altmann

Additional appointments

Klausur

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

Alexandru Constantinescu

12.02.2020 12:00 - 14:00

Nachklausur (Klausur findet im L 115 Seminarzentrum statt)

L 115 Seminarzentrum

Alexandru Constantinescu

30.06.2020 09:00 - 11:00

Appointment series

A6/SR 032 Seminarraum

Alexandru Constantinescu

einmal, ab 14.10.2019, 10:00 - 14:00 (16 Termine)

Practice seminar for Basic Module: Algebra I

LV: 19202502

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2 SWS

Alexandru Constantinescu

Practice seminar

Submod: 0084aC1.1.2

Akt: 14.10.2019 18:00

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

Stochastic Analysis

LV: 19208001

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4 SWS

Nicolas Perkowski

Lecture

Submod: 0280bA7.1.1

Akt: 17.10.2019 16:00

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

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

Description

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

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

Additional appointments

Appointment series

T9/049 Seminarraum

Nicolas Perkowski

einmal, ab 15.10.2019, 08:00 - 10:00 (16 Termine)

A6/SR 031 Seminarraum

Nicolas Perkowski

einmal, ab 16.10.2019, 08:00 - 10:00 (16 Termine)

Practice seminar for Stochastic Analysis

LV: 19208002

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2 SWS

Nicolas Perkowski

Practice seminar

Submod: 0280bA7.1.2

Akt: 14.10.2019 12:00

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

Discrete Mathematics II - Extremal Comb.

LV: 19208601

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4 SWS

Tibor Szabo

Lecture

Submod: 0280bA3.2.1

Akt: 23.03.2020 12:00

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

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

Description

References

The material is selected from several textbooks:

Additional appointments

Klausur

T9/Gr. Hörsaal

Tibor Szabo

20.02.2020 09:00 - 12:00

Appointment series

A6/SR 032 Seminarraum

Tibor Szabo

einmal, ab 15.10.2019, 12:00 - 14:00 (16 Termine)

A6/SR 032 Seminarraum

Tibor Szabo

einmal, ab 17.10.2019, 12:00 - 14:00 (16 Termine)

Practice seminar for Discrete Mathematics II - Extremal Comb.

LV: 19208602

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2 SWS

Tibor Szabo

Practice seminar

Submod: 0280bA3.2.2

Akt: 27.08.2019 13:00

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

Thu, 08:00 - 10:00 (A3/ 024 Seminarraum )