Time and place

Lecture: Di, Do, 8-10h, HS II, Albertstr. 23b
Tutorial: 2 hours, date to be determined

Teacher: Stefan Kebekus
Language: in German

Complex analysis deals with functions \(f : \mathbb C \to \mathbb C\) , which map complex numbers to complex numbers. Many concepts of Analysis~I can be directly transferred to this case, e.\,g. the definition of differentiability. One might expect that this would lead to a theory analogous to Analysis~I but much more is true: in many respects you get a more elegant and simpler theory. For example, complex differentiability on an open set implies that a function is even infinitely often differentiable, and this is further consistent with analyticity. For real functions, all these notions are different. However, some new ideas are also necessary: For real numbers \(a\), \(b\) one integrates for \[\int_a^b f(x) \mathrm dx\] over the elements of the interval \([a, b]\) or \([b, a]\). However, if \(a\), \(b\) are complex numbers, it is no longer so clear clear how such an integral is to be calculated. One could, for example, in the complex numbers along the line that connects \(a, b \in \mathbb C\), or along another curve that leads from \(a\) to \(b\). Does this lead to a well-defined integral term or does such a curve integral depend on the choice of the curve?

Required: Analysis I+II, Linear Algebra I

Elective (Option Area) (2HfB21)
Compulsory Elective in Mathematics (BSc21)
Mathematical Concentration (MEd18, MEH21)
Pure Mathematics (MSc14)
Elective (MSc14)
Elective (MScData24)

Time and place

Lecture: Di, Do, 8-10h, HS Rundbau, Albertstr. 21
Tutorial: 2 hours, various dates

Teacher: Stefan Kebekus
Assistant: Christoph Brackenhofer
Language: in German

Linear algebra II is the continuation of the lecture linear algebra I from the winter semester and one of the basic courses of math studies. Central topics are: Jordan’s normal form of endomorphisms, symmetrical bilinear forms with especially the Sylvester’s theorem, Euclidian and Hermitian vector spaces, skalar products, orthonormal bases, orthogonal and (self-) adjugated , spectral theorem, principal axis theorem.

Linear Algebra I

Linear Algebra (2HfB21, BSc21, MEH21)
Linear Algebra (MEB21)
Linear Algebra II (BScInfo19, BScPhys20)

Time and place

Lecture: Mo, Do, 8-10h, HS Rundbau, Albertstr. 21
Tutorial: 2 hours, various dates
27.02., 09:00-12:00, HS Rundbau, Albertstr. 21, GHS Physik, Hermann-Herder-Str. 3a, GHS Biologie, Schänzlestr. 1
Sit-in exam (resit) 26.04., 09:00-13:00, HS Rundbau, Albertstr. 21

Teacher: Stefan Kebekus
Assistant: Marius Amann
Language: in German

Linear Algebra I is one of the two introductory lectures in the mathematics degree program that form the basis for further courses. Topics covered include: fundamental concepts (in particular fundamental concepts of set theory and equivalence relations), groups, fields, vector spaces over arbitrary fields, basis and dimension, linear mappings and transformation matrix, matrix calculus, linear systems of equations, Gaussian elimination, linear forms, dual space, quotient vector spaces and homomorphism theorem, determinant, eigenvalues, polynomials, characteristic polynomial, diagonalizability, affine spaces. The background to the mathematical content is explained in terms of ideas and the history of mathematics.

Required: High school mathematics. \ Attendance of the preliminary course (for students in mathematics) is recommended.

Linear Algebra (2HfB21, BSc21, MEH21)
Linear Algebra (MEB21)
Linear Algebra I (BScInfo19, BScPhys20)

Time and place

Lecture: Mo, Mi, 8-10h, HS Weismann-Haus, Albertstr. 21a
26.02., 09:00-11:30

Teacher: Stefan Kebekus
Assistant: Andreas Demleitner
general: ,

Algebra and Number Theory (2HfB21, MEH21)
Compulsory Elective in Mathematics (BSc21)
Pure Mathematics (MSc14)
Introduction to Algebra and Number Theory (MEB21)

Time and place

Fr, 10-12h, SR 404, Ernst-Zermelo-Str. 1

Teacher: Annette Huber-Klawitter, Stefan Kebekus, Wolfgang Soergel

Time and place

Lecture: Di, Do, 8-10h, HS II, Albertstr. 23b
01.08., 11:00-13:30

Teacher: Stefan Kebekus
Assistant: Andreas Demleitner
general:

Mathematical Concentration (MEd18, MEH21)
Compulsory Elective in Mathematics (BSc21)

Time and place

Fr, 10-12h, HS II, Albertstr. 23b

Teacher: Annette Huber-Klawitter, Stefan Kebekus, Wolfgang Soergel

Time and place

Lecture: Mi, Fr, 8-10h, HS II, Albertstr. 23b

Teacher: Stefan Kebekus
Assistant: Pedro Núñez
general:

Compulsory Elective in Mathematics (BSc21)

Time and place

Fr, 10-12h, HS II, Albertstr. 23b

Teacher: Annette Huber-Klawitter, Stefan Kebekus, Wolfgang Soergel

Time and place

Lecture: Fr, Mi, 8-10h, HS II, Albertstr. 23b
26.09., 13:30-16:00

Teacher: Stefan Kebekus
Assistant: Andreas Demleitner
general:

Mathematical Concentration (MEd18, MEH21)
Compulsory Elective in Mathematics (BSc21)
Pure Mathematics (MSc14)

Time and place

Fr, 10-12h, HS II, Albertstr. 23b

Teacher: Annette Huber-Klawitter, Stefan Kebekus, Wolfgang Soergel

Time and place

Mi, 14-16h, SR 226, Hermann-Herder-Str. 10

Teacher: Sebastian Goette, Nadine Große, Annette Huber-Klawitter, Stefan Kebekus, Wolfgang Soergel
Assistant: Vivien Vogelmann

Time and place

Lecture: Mi, Fr, 8-10h, SR 125, Ernst-Zermelo-Str. 1

Teacher: Stefan Kebekus
Assistant: Andreas Demleitner
general:

Compulsory Elective in Mathematics (BSc21)

Time and place

Mi, 14-16h, HS II, Albertstr. 23b

Teacher: Sebastian Goette, Nadine Große, Annette Huber-Klawitter, Stefan Kebekus

Time and place

Fr, 10-12h, SR 404, Ernst-Zermelo-Str. 1

Teacher: Annette Huber-Klawitter, Stefan Kebekus

Time and place

Lecture: Di, Do, 10-12h, , online

Teacher: Stefan Kebekus
Assistant: Andreas Demleitner
general:

Mathematical Concentration (MEd18, MEH21)
Compulsory Elective in Mathematics (BSc21)

Teacher: Stefan Kebekus
Assistant: Andreas Demleitner

Compulsory Elective in Mathematics (BSc21)
Supplementary Module in Mathematics (MEd18)

Time and place

Fr, 10-12h, bbb-Raum "Anderssen", online

Teacher: Annette Huber-Klawitter, Stefan Kebekus, Wolfgang Soergel

Time and place

Mi Do, 14-16h, bbb-Raum des Graduiertenkollegs, online

Teacher: Andriy Haydys, Annette Huber-Klawitter, Fritz Hörmann, Stefan Kebekus, Sebastian Goette, Nadine Große, Wolfgang Soergel, Katrin Wendland
Assistant: Jonas Schnitzer

Time and place

Lecture: Di, 14-16h, -, -, Mi, 8-10h, -, -
03.03., 09:00-12:00
Sit-in exam (resit) 05.05., 09:00-13:00

Teacher: Stefan Kebekus
Assistant: Lukas Braun, Andreas Demleitner, Jonas Schnitzer

Pure Mathematics (MSc14)

Time and place

Di, 10-12h, HS II, Albertstr. 23b

Teacher: Stefan Kebekus
Assistant: Andreas Demleitner

Undergraduate Seminar (2HfB21, BSc21, MEH21, MEB21)

Time and place

Mi 14-16h, SR 125, Ernst-Zermelo-Str. 1, Do, 14-16h, bbb-Raum "Krush", online

Teacher: Nadine Große, Andriy Haydys, Annette Huber-Klawitter, Wolfgang Soergel, Stefan Kebekus, Katrin Wendland

Time and place

Fr, 10-12h, , online

Teacher: Annette Huber-Klawitter, Stefan Kebekus, Wolfgang Soergel

Teacher: Stefan Kebekus

Time and place

Lecture: Di, Do, 8-10h, HS Rundbau, Albertstr. 21

Teacher: Stefan Kebekus
Assistant: Lukas Braun, Andreas Demleitner, Martin Jesenko, Jakob Rotter

Linear Algebra II (BScInfo19, BScPhys20)

Teacher: Stefan Kebekus
Assistant: Andreas Demleitner

Compulsory Elective in Mathematics (BSc21)

Time and place

Fr, 10-12h, SR 404, Ernst-Zermelo-Str. 1

Teacher: Stefan Kebekus, Wolfgang Soergel

Time and place

Mi, 14-16h, SR 404, Ernst-Zermelo-Str. 1

Teacher: Sebastian Goette, Nadine Große, Andriy Haydys, Stefan Kebekus, Wolfgang Soergel, Katrin Wendland

Teacher: Stefan Kebekus

Time and place

Lecture: Mo, Do, 8-10h, HS Rundbau, Albertstr. 21
02.03., 12:00-17:00
Sit-in exam (resit) 21.07., 10:00-14:00

Teacher: Stefan Kebekus
Assistant: Andreas Demleitner
general: ,

Linear Algebra I (BScInfo19, BScPhys20)

Time and place

Mo, 10-12h, SR 125, Ernst-Zermelo-Str. 1

Teacher: Stefan Kebekus
Assistant: Andreas Demleitner

Undergraduate Seminar (2HfB21, BSc21, MEH21, MEB21)

Time and place

Mi, 14-16h, SR 404, Ernst-Zermelo-Str. 1

Teacher: Sebastian Goette, Nadine Große, Andriy Haydys, Annette Huber-Klawitter, Wolfgang Soergel, Katrin Wendland, Stefan Kebekus

Time and place

Fr, 10-12h, SR 404, Ernst-Zermelo-Str. 1

Teacher: Annette Huber-Klawitter, Stefan Kebekus, Wolfgang Soergel

Teacher: Stefan Kebekus

Teacher: Stefan Kebekus

Time and place

Lecture: Mi, Mo, 8-10h, HS Weismann-Haus, Albertstr. 21a
01.02., 13:00-16:00
Sit-in exam (resit) 29.07., 09:00-12:00

Teacher: Stefan Kebekus
Assistant: Johan Commelin
general: , ,

Algebra and Number Theory (2HfB21, MEH21)
Compulsory Elective in Mathematics (BSc21)
Pure Mathematics (MSc14)

Time and place

Mo, 10-12h, SR 125, Ernst-Zermelo-Str. 1

Teacher: Stefan Kebekus
Assistant: Santosh Kandel

Undergraduate Seminar (2HfB21, BSc21, MEH21, MEB21)

Time and place

Mi, 10-12h, SR 403, Ernst-Zermelo-Str. 1

Teacher: Stefan Kebekus
Assistant: Johan Commelin

Compulsory Elective in Mathematics (BSc21)
Supplementary Module in Mathematics (MEd18)

Time and place

Fr, 10-12h, SR 404, Ernst-Zermelo-Str. 1

Teacher: Annette Huber-Klawitter, Stefan Kebekus, Wolfgang Soergel

Time and place

Mi, 14-16h, SR 404, Ernst-Zermelo-Str. 1

Teacher: Sebastian Goette, Nadine Große, Annette Huber-Klawitter, Stefan Kebekus, Wolfgang Soergel, Katrin Wendland, Andriy Haydys, Fritz Hörmann

Teacher: Stefan Kebekus