Lecture: Fr, 10-12h, HS Weismann-Haus, Albertstr. 21a
Tutorial: 2 hours, every other week, various dates
05.09.
Teacher: Johannes Brutsche
Assistant: Dario Kieffer
Language: in German
Linear Algebra I+II and Analysis I+II
Elementary Probabilty Theory (2HfB21, MEH21)
Elementary Probability Theory II (MEdual24)
Compulsory Elective in Mathematics (BSc21)
Lecture: Di, Do, 10-12h, HS Weismann-Haus, Albertstr. 21a
Tutorial: 2 hours, date to be determined
22.09., 10:00-12:00
Teacher: Angelika Rohde
Assistant: Johannes Brutsche
Language: in English
The problem of axiomatising probability theory was solved by Kolmogorov in 1933: a probability is a measure of the set of all possible outcomes of a random experiment. From this starting point, the entire modern theory of probability develops with numerous references to current applications.
The lecture is a systematic introduction to this area based on measure theory and includes, among other things, the central limit theorem in the Lindeberg-Feller version, conditional expectations and regular versions, martingales and martingale convergence theorems, the strong law of large numbers and the ergodic theorem as well as Brownian motion.
necessary: Analysis I+II, Linear Algebra I, Elementary Probability Theory I
useful: Analysis III
Elective (Option Area) (2HfB21)
Compulsory Elective in Mathematics (BSc21)
Mathematical Concentration (MEd18, MEH21)
Applied Mathematics (MSc14)
Elective (MSc14)
Advanced Lecture in Stochastics (MScData24)
Elective in Data (MScData24)
Lecture: Fr, 10-12h, HS Weismann-Haus, Albertstr. 21a
Tutorial: 2 hours, every other week, various dates
07.03., 09:00-10:00
Sit-in exam (resit) 05.09.
Teacher: Angelika Rohde
Assistant: Johannes Brutsche
Language: in German
Stochastic is, to put it loosely, the “mathematics of chance”, about which---possibly contrary to first impressions---many precise and not at all random statements can be formulated and proven. The aim of the lecture is to give an introduction to stochastic modeling, to explain some basic concepts and results of Stochastic and to illustrate them with examples. It is also intended as a motivating preparation for the lecture “Probability Theory” in the summer semester, especially for students in the B.Sc. in Mathematics. Topics covered include: Discrete and continuous random variables, probability spaces and measures, combinatorics, expected value, variance, correlation, generating functions, conditional probability, independence, weak law of large numbers, central limit theorem. The lecture Elementary Probability Theory~II in the summer semester will mainly be devoted to statistical topics. If you are interested in a practical, computer-supported implementation of individual lecture contents, participation in the regularly offered practical excercise “Praktischen Übung Stochastik" is also recommended (in parallel or subsequently).
Required: Linear Algebra~I, Analysis~I and II. \ Note that Linear Algebra~I can be attended in parallel.
Elementary Probabilty Theory (2HfB21, MEH21)
Elementary Probability Theory I (BSc21, MEB21, MEdual24)
Seminar: Mi, 12-14h, SR 125, Ernst-Zermelo-Str. 1, Fr, 13-15h, SR 404, Ernst-Zermelo-Str. 1
Preregistration:
Preliminary Meeting 16.07., 10:15, Raum 232, Ernst-Zermelo-Str. 1
Preparation meetings for talks: Dates by arrangement
Teacher: Angelika Rohde
Assistant: Johannes Brutsche
Language: in German
Paul Erd\H{o}s liked to talk about the BOOK in which God keeps the \textit{perfect} proofs of mathematical theorems, according to the famous quote by G. H. Hardy that "there is no permanent place for ugly mathematics" ([1], Preface). In an attempt at a best approximation to this BOOK, Aigner and Ziegler have published a large number of sentences with elegant, sophisticated, and sometimes surprising evidence. In this proseminar, a selection of these results will be presented. The spectrum of topics covers all different areas of mathematics, from number theory, geometry, analysis, and combinatorics to graph theory and includes well-known results, such as Littlewood and Offord's lemma, the Dinitz problem, Hilbert's third problem (of his 23 problems presented at the International Congress of Mathematicians in Paris in 1900), the Borsuk conjecture, and many more.
Linear Algebra~I and II, Analysis~I and II
Undergraduate Seminar (2HfB21, BSc21, MEH21, MEB21)
Lecture: Di, Do, 8-10h, HS Rundbau, Albertstr. 21
Teacher: Angelika Rohde
Assistant: Johannes Brutsche
Linear Algebra II (BScInfo19, BScPhys20)
Teacher: Angelika Rohde
Assistant: Johannes Brutsche
Supplementary Module in Mathematics (MEd18)
Compulsory Elective in Mathematics (BSc21)
Lecture: Mo, Do, 8-10h, HS Rundbau, Albertstr. 21
19.03., 08:00-12:00
Teacher: Angelika Rohde
Assistant: Johannes Brutsche
general: ,
Linear Algebra I (BScInfo19, BScPhys20)
Do, 12-14h, SR 226, Hermann-Herder-Str. 10
Teacher: Johannes Brutsche, Jakob Stiefel
general:
Computer Exercise (2HfB21, MEH21, MEB21)
Supplementary Module in Mathematics (MEd18)
Lecture: Mo, Mi, 14-16h, SR 404, Ernst-Zermelo-Str. 1
Teacher: Angelika Rohde
Assistant: Johannes Brutsche
general:
Lecture: Do, 14-16h, SR 226, Hermann-Herder-Str. 10
Teacher: Johannes Brutsche
Assistant: Saskia Glaffig
general:
Lecture: Mo, Mi, 14-16h, HS II, Albertstr. 23b
Teacher: Angelika Rohde
Assistant: Johannes Brutsche
general:
Compulsory Elective in Mathematics (BSc21)
Lecture: Mo, 12-14h, SR 127, Ernst-Zermelo-Str. 1, Mi, 12-14h, HS II, Albertstr. 23b
Teacher: Angelika Rohde
Assistant: Johannes Brutsche
general:
Compulsory Elective in Mathematics (BSc21)
Mo, 12-14h, HS Weismann-Haus, Albertstr. 21a
11.02., 14:00-00:00
Teacher: Ernst August von Hammerstein, Johannes Brutsche
general:
Computer Exercise (2HfB21, MEH21, MEB21)
Supplementary Module in Mathematics (MEd18)
Di Do, 10-12h, , online
Teacher: Angelika Rohde
Assistant: Johannes Brutsche
general:
Compulsory Elective in Mathematics (BSc21)
Lecture: Mo, Mi, 12-14h, genauere Informationen zum Ablauf durch Dozenten nach Belegung in HISinOne, -
09.03., 08:00-11:00
Sit-in exam (resit) 21.05., 09:00-11:00
Teacher: Angelika Rohde
Assistant: Johannes Brutsche
general:
Applied Mathematics (MSc14)
Mathematical Concentration (MEd18, MEH21)
Compulsory Elective in Mathematics (BSc21)
Di Mi, 16-18h, HS II, Albertstr. 23b
Teacher: Ernst August von Hammerstein
Assistant: Johannes Brutsche
Undergraduate Seminar (2HfB21, BSc21, MEH21, MEB21)
Lecture: Mo, Mi, 10-12h, HS Weismann-Haus, Albertstr. 21a
Teacher: Angelika Rohde
Assistant: Johannes Brutsche
general:
Analysis III (BSc21)
Mathematical Concentration (MEd18, MEH21)
Lecture: Mo, Mi, 8-10h, HS Rundbau, Albertstr. 21
08.08., 09:00-12:00
Sit-in exam (resit) 08.01., 14:00-17:00
Teacher: Angelika Rohde
Assistant: Johannes Brutsche
general: , ,
Analysis II (BScInfo19, BScPhys20)
Di 14-16h, SR 127, Ernst-Zermelo-Str. 1, Mo, 10-12h, SR 125, Ernst-Zermelo-Str. 1
Teacher: Angelika Rohde
Assistant: Johannes Brutsche
Undergraduate Seminar (2HfB21, BSc21, MEH21, MEB21)
Lecture: Di, Mi, 8-10h, HS Rundbau, Albertstr. 21
22.02., 14:00-16:00
Sit-in exam (resit) 25.04., 13:00-16:00
Teacher: Angelika Rohde
Assistant: Johannes Brutsche
general: , ,