Lecture: Mo, 12-14h, HS II, Albertstr. 23b, Mi, 12-14h, SR 226, Hermann-Herder-Str. 10
Tutorial: 2 hours, date to be determined
Sir-in Exam: Date to be announced
Attention: Change of time and room!
Teacher: Patrick Dondl
Assistant: Luciano Sciaraffia
Language: in German
Linear functional analysis, which is the subject of the lecture, uses concepts of linear algebra such as vector space, linear operator, dual space, scalar product, adjoint map, eigenvalue, spectrum to solve equations in infinite-dimensional function spaces, especially linear differential equations. The algebraic concepts have to be extended by topological concepts such as convergence, completeness and compactness.
This approach was developed at the beginning of the 20th century by Hilbert, among others, and is now part of the methodological foundation of analysis, numerics and mathematical physics, in particular quantum mechanics, and is also indispensable in other mathematical areas.
Linear Algebra I+II, Analysis I–III
Elective (Option Area) (2HfB21)
Compulsory Elective in Mathematics (BSc21)
Mathematical Concentration (MEd18, MEH21)
Applied Mathematics (MSc14)
Pure Mathematics (MSc14)
Elective (MSc14)
Elective in Data (MScData24)
Lecture: Mi, 14-16h, SR 226, Hermann-Herder-Str. 10
Tutorial: 2 hours, date to be determined
Teacher: Patrick Dondl
Assistant: Eric Trébuchon
Language: in English
This course provides a comprehensive introduction to mathematical modeling. We will learn the systematic process of translating real-world problems into mathematical frameworks, analyzing them using appropriate mathematical tools, and interpreting the results in practical contexts. The course covers both discrete and continuous modeling approaches, with emphasis on differential equations, variational problems, and optimization techniques. Through case studies in physics, biology, engineering, and economics, students will develop skills in model formulation, validation, and refinement. Special attention is given to dimensional analysis, stability theory, and numerical methods necessary for implementing solutions with a focus on numerical methods for ordinary differential equations. The course combines theoretical foundations with hands-on experience in computational tools for model simulation and analysis.
Analysis I, II, Linear Algebra I, II, Numerics I, II
Elective (Option Area) (2HfB21)
Compulsory Elective in Mathematics (BSc21)
Supplementary Module in Mathematics (MEd18)
Applied Mathematics (MSc14)
Mathematics (MSc14)
Concentration Module (MSc14)
Elective (MSc14)
Elective in Data (MScData24)
Working group seminar: Applied Analysis
Mo, 14-16h, Bibliotheksraum 216, Hermann-Herder-Str. 10
Teacher: Patrick Dondl
Lecture: Di, Do, 8-10h, HS II, Albertstr. 23b
Tutorial: 2 hours, date to be determined
Computer exercise: 2 hours, date to be determined
Teacher: Moritz Diehl, Patrick Dondl, Angelika Rohde
Assistant: Ben Deitmar, Coffi Aristide Hounkpe
Language: in English
This course provides an introduction into the basic concepts, notions, definitions and results in probability theory, numerics and optimization, accompanied with programming projects in Python. Besides deepen mathematical skills in principle, the course lays the foundation of further classes in these three areas.
None that go beyond admission to the degree programme.
Basics in Applied Mathematics (MScData24)
Lecture: Mo, 12-14h, HS Rundbau, Albertstr. 21, Mi, 10-12h, HS Weismann-Haus, Albertstr. 21a
Tutorial: 2 hours, various dates
19.02., 10:15-11:45, HS Rundbau, Albertstr. 21
Sit-in exam (resit) 28.04., 10:00-11:30, SR 226, Hermann-Herder-Str. 10
Teacher: Patrick Dondl
Assistant: Oliver Suchan
Language: in German
Lebesgue measure and measure theory, Lebesgue integral on measure spaces and Fubini's theorem, Fourier series and Fourier transform, Hilbert spaces. Differential forms, their integration and outer derivative. Stokes' theorem and Gauss' theorem.
Required: Analysis I and II, Linear Algebra I
Elective (Option Area) (2HfB21)
Analysis III (BSc21)
Mathematical Concentration (MEd18, MEH21)
Elective in Data (MScData24)
Theory and Numerics for Partial Differential Equations – Nonlinear Problems
Teacher: Sören Bartels, Patrick Dondl
Language: in English
The lecture addresses the development and analysis of numerical methods for the approximation of certain nonlinear partial differential equations. The considered model problems include harmonic maps into spheres, total-variation regularized minimization problems, and nonlinear bending models. For each of the problems, a suitable finite element discretization is devised, its convergence is analyzed and iterative solution procedures are developed. The lecture is complemented by theoretical and practical lab tutorials in which the results are deepened and experimentally tested.
Required: Introduction to Theory and Numerics for PDEs or Introduction to PDEs
Elective (Option Area) (2HfB21)
Compulsory Elective in Mathematics (BSc21)
Applied Mathematics (MSc14)
Mathematics (MSc14)
Concentration Module (MSc14)
Elective (MSc14)
Advanced Lecture in Numerics (MScData24)
Elective in Data (MScData24)
Lecture: Mo, Mi, 8-10h, HS Rundbau, Albertstr. 21
Teacher: Patrick Dondl
Assistant: Philipp Tscherner
Analysis II (BScInfo19, BScPhys20)
Di, 10-12h, SR 226, Hermann-Herder-Str. 10
Teacher: Patrick Dondl
Assistant: Hedwig Keller
Di, 14-16h, SR 226, Hermann-Herder-Str. 10
Teacher: Sören Bartels, Patrick Dondl, Michael Růžička, Diyora Salimova
Lecture: Mi, Di, 8-10h, HS Rundbau, Albertstr. 21
20.02., 09:00-12:00
Teacher: Patrick Dondl
Assistant: Coffi Aristide Hounkpe
general: ,
Di, 16-18h, SR 226, Hermann-Herder-Str. 10
Teacher: Patrick Dondl
Assistant: Simone Hermann, Oliver Suchan
Di, 16-18h, SR 226, Hermann-Herder-Str. 10
Teacher: Patrick Dondl
Assistant: Simone Hermann, Oliver Suchan
Compulsory Elective in Mathematics (BSc21)
Supplementary Module in Mathematics (MEd18)
Di, 14-16h, SR 226, Hermann-Herder-Str. 10
Teacher: Patrick Dondl, Michael Růžička, Diyora Salimova
Lecture: Mo, Mi, 14-16h, SR 404, Ernst-Zermelo-Str. 1
Teacher: Patrick Dondl
Assistant: Coffi Aristide Hounkpe
general:
Compulsory Elective in Mathematics (BSc21)
Teacher: Patrick Dondl
Assistant: Coffi Aristide Hounkpe
Teacher: Patrick Dondl, Sören Bartels
Assistant: Vera Jackisch, Guofang Wang
Di, 14-16h, SR 226, Hermann-Herder-Str. 10
Teacher: Sören Bartels, Patrick Dondl, Michael Růžička
Lecture: Mi, 10-12h, SR 226, Hermann-Herder-Str. 10
Teacher: Patrick Dondl
Assistant: Coffi Aristide Hounkpe
general:
Compulsory Elective in Mathematics (BSc21)
Supplementary Module in Mathematics (MEd18)
Mo Mi, 16-18h, HS Rundbau, Albertstr. 21
Teacher: Patrick Dondl
Assistant: Guofang Wang
Di, 14-16h, SR 226, Hermann-Herder-Str. 10
Teacher: Sören Bartels, Patrick Dondl
Teacher: Sören Bartels, Patrick Dondl
Assistant: Steve Wolff-Vorbeck
Lecture: Mo, Mi, 16-18h, , online
Teacher: Patrick Dondl
Assistant: Guofang Wang
Mo, 14-16h, SR 226, Hermann-Herder-Str. 10
Teacher: Patrick Dondl
Assistant: Coffi Aristide Hounkpe
Compulsory Elective in Mathematics (BSc21)
Supplementary Module in Mathematics (MEd18)
Teacher: Sören Bartels, Patrick Dondl
Di, 14-16h, SR 226, Hermann-Herder-Str. 10
Teacher: Patrick Dondl, Sören Bartels, Michael Růžička
Lecture: Mi, 14-16h, , online
08.09., 10:00-13:00
Sit-in exam (resit) 05.11., 00:00-00:00
Teacher: Patrick Dondl
Assistant: Coffi Aristide Hounkpe
general: ,
Numerics (2HfB21, MEH21)
Mo Mi, 16-18h, , online
Teacher: Patrick Dondl
Assistant: Jakob Rotter
Teacher: Patrick Dondl
Assistant: Coffi Aristide Hounkpe
general:
Supplementary Module in Mathematics (MEd18)
Di, 14-16h, bbb-Raum "Anderssen", online
Teacher: Sören Bartels, Patrick Dondl, Michael Růžička
Teacher: Sören Bartels, Patrick Dondl
Assistant: Jakob Rotter
Teacher: Patrick Dondl
Assistant: Coffi Aristide Hounkpe
general: ,
Numerics (2HfB21, MEH21)
Lecture: Mo, Mi, 16-18h, , online
23.02., 10:00-12:00
Teacher: Patrick Dondl
Assistant: Jakob Rotter
Teacher: Patrick Dondl
Assistant: Coffi Aristide Hounkpe
general:
Supplementary Module in Mathematics (MEd18)
Mo, 12-14h, , online
Teacher: Patrick Dondl
Assistant: Lukas Courte, Coffi Aristide Hounkpe
Supplementary Module in Mathematics (MEd18)
Compulsory Elective in Mathematics (BSc21)
Teacher: Sören Bartels, Patrick Dondl
Di, 14-16h, bbb-Raum "Lasker", online
Teacher: Sören Bartels, Patrick Dondl, Michael Růžička
Mo Mi, 16-18h, HS Rundbau, Albertstr. 21
Teacher: Patrick Dondl
Assistant: Martin Jesenko
Mo, 14-16h, SR 226, Hermann-Herder-Str. 10
Teacher: Patrick Dondl
Assistant: Lukas Courte
Compulsory Elective in Mathematics (BSc21)
Supplementary Module in Mathematics (MEd18)
Di, 14-16h, SR 226, Hermann-Herder-Str. 10
Teacher: Sören Bartels, Patrick Dondl, Michael Růžička
Mo, 16-18h, SR 226, Hermann-Herder-Str. 10
Teacher: Patrick Dondl, Sören Bartels
Lecture: Mo, Mi, 16-18h, HS Rundbau, Albertstr. 21
Teacher: Patrick Dondl
Assistant: Martin Jesenko
Di, 16-18h, Bibliotheksraum 216, Hermann-Herder-Str. 10
Teacher: Patrick Dondl
Assistant: Coffi Aristide Hounkpe
Di, 14-16h, SR 226, Hermann-Herder-Str. 10
Teacher: Sören Bartels, Patrick Dondl, Dietmar Kröner, Michael Růžička
Lecture: Mi, 14-16h, HS Rundbau, Albertstr. 21
31.07., 13:00-16:00
Sit-in exam (resit) 25.10., 14:00-16:00
Teacher: Patrick Dondl
Assistant: Martin Jesenko
general: , ,
Numerics (2HfB21, MEH21)
Mo Mi, 16-18h, HS Rundbau, Albertstr. 21
Teacher: Patrick Dondl
Assistant: Martin Jesenko
Teacher: Patrick Dondl
Assistant: Martin Jesenko
general: ,
Supplementary Module in Mathematics (MEd18)
Di, 14-16h, SR 226, Hermann-Herder-Str. 10
Teacher: Patrick Dondl, Dietmar Kröner, Michael Růžička
Di, 16-18h, Bibliotheksraum 216, Hermann-Herder-Str. 10
Teacher: Patrick Dondl
Assistant: Coffi Aristide Hounkpe
Lecture: Mi, 14-16h, HS Rundbau, Albertstr. 21
Teacher: Patrick Dondl
Assistant: Andrea Korsch
general: , ,
Numerics (2HfB21, MEH21)
Lecture: Mo, Mi, 16-18h, HS Rundbau, Albertstr. 21
Teacher: Patrick Dondl
Assistant: Johannes Daube, Janick Gerstenberger
Teacher: Patrick Dondl
Assistant: Marius Zeinhofer
general: ,
Supplementary Module in Mathematics (MEd18)
Mo, 14-16h, SR 226, Hermann-Herder-Str. 10
Teacher: Patrick Dondl
Assistant: Andrea Korsch
Compulsory Elective in Mathematics (BSc21)
Supplementary Module in Mathematics (MEd18)
Di, 14-16h, SR 226, Hermann-Herder-Str. 10
Teacher: Sören Bartels, Patrick Dondl, Michael Růžička
Di, 16-18h, Bibliotheksraum 216, Hermann-Herder-Str. 10
Teacher: Patrick Dondl
Assistant: Martin Jesenko