Winter semester 2024/25

3+2+0

Target group

OPAL

OPAL course

Timetable

V Mon
V Thu

5. DS
5. DS

TRE MATH
TRE MATH

Analysis is the theory of limit processes, for example limits of sequences, series or functions, the notions of continuous, differentiable or integrable functions. In this introductory lecture course we consider functions of one real variable. We first recall the most important properties of the field of real numbers (order, order completeness). Then we discuss: sequences and series, continuous functions, differentiable functions, integrable functions.

3+1+0

Target group

Master's degree courses in mathematics, business mathematics, technomathematics, Master's degree course in physics (specialization)

OPAL

OPAL course

Timetable

V Mo
V Tue

3. DS
2. DS

WIL/A120/H
WIL/A120/H

This is an advanced lecture in functional analysis. The topic of the lecture course in this winter semester is the theory of nonlinear evolution equations on Banach spaces. This includes the notions of accretive operators on Banach spaces, subgradients on Hilbert spaces, wellposedness of nonlinear evolution equations, nonlinear semigroups, regularity and qualitative behaviour of solutions, asymptotics of solutions. Applications of this theory can be found in the theory of nonlinear partial differentiable equations. A prior participation in the lecture course "Function Analysis" (Master level) or in one of the lecture courses in "Partial Differential Equations" (Bachelor or Master level) is not necessary.

Module MA WIA (for example, other credits are possible)

The (underground) seminar on topics in mathematical physics, which has been taking place since 2009, is an opportunity for students of physics and mathematics from the 4th semester onwards to take an interdisciplinary approach to their subject areas. Doctoral students are also cordially invited.

Here, participants present selected mathematical physics topics to each other in the form of papers. See also the underground seminar page.

4+0+0

Target group

Timetable

In the winter semester 2024 /25 and in the summer semester 2025 takes place the international internet seminar on evolution equations. The title of this year's internet seminar is Ergodic Structure Theory and Applications. One of the virtual lecturers of this year's internet seminar, Asgar Jamneshian, will be in Dresden and will give a corresponding lecture course. Therefore, in this year, there will be no extra local seminar for participants from Dresden.

The international internet seminars on evolution equations are organized in three phases.

Phase 1: The Lectures (October 2024 – February 2025). A weekly lecture will be provided on the above website as lecture notes and a video recording. These lectures will be self-contained, and references for additional reading will be provided. The weekly lecture will be accompanied by exercises, and the participants are supposed to solve these problems.

Phase 2: The Projects (March – June 2025). The participants will form small international groups to work on diverse projects which supplement the theory of Phase 1 and provide some applications. The list of projects and further details concerning the application process will be published in February 2024.

Phase 3: The Workshop (June or July 2025). The final workshop takes place in June or July 2025. There the project teams of Phase 2 will present their projects and additional lectures will be delivered by leading experts in the field.

For participants from TU Dresden, participation at the project phase and the final workshop is not strictly necessary. Participation at phase 1 consists in participation of the corresponding lecture course by Dr Asgar Jamneshian and is equivalent to a lecture course of 4 SWS. Participation at phases two and three is equivalent to a lecture course of 2 SWS. Please register at the web site mentioned above.