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Algorithmic Aspects of Data Analytics and Machine Learning
                   Lecturer:  Sören Bartels 
                      Language: in English 
                  
                
                   Lecture: Mo, 12-14h, SR 226, Hermann-Herder-Str. 10
                  
                   
                 
                 
                   Tutorial: 2 hours, date to be determined and announced in class 
                  
                  
                
The lecture addresses algorithmic aspects in the practical realization of mathematical methods in big data analytics and machine learning. The first part will be devoted to the development of recommendation systems, clustering methods and sparse recovery techniques. The architecture and approximation properties as well as the training of neural networks are the subject of the second part. Convergence results for accelerated gradient descent methods for nonsmooth problems will be analyzed in the third part of the course. The lecture is accompanied by weekly tutorials which will involve both, practical and theoretical exercises.
Lectures "Numerik I, II" or lecture "Basics in Applied Mathematics"
Supplementary Module in Mathematics
Please refer to the Supplements to the Module Handbooks for the number of ECTS credits.Introduction to Theory and Numerics of Stochastic Differential Equations
                   Lecturer:  Diyora Salimova 
                      Language: in English 
                  
                
                   Lecture: Mi, 12-14h, SR 226, Hermann-Herder-Str. 10
                  
                   
                 
                 
                   Tutorial: 2 hours, date to be determined and announced in class 
                  
                  
                
Supplementary Module in Mathematics
Please refer to the Supplements to the Module Handbooks for the number of ECTS credits.Mathematical Physics II
                   Lecturer:  Chiara Saffirio 
                      Language: in English 
                  
                
                   Lecture: Mo, 14-16h, SR 404, Ernst-Zermelo-Str. 1
                  
                   
                 
                 
                   Tutorial: 2 hours, date to be determined and announced in class 
                  
                  
                
Supplementary Module in Mathematics
Please refer to the Supplements to the Module Handbooks for the number of ECTS credits.Mathematical Time Series Analysis II
                   Lecturer:  Rainer Dahlhaus 
                      Language: in English 
                  
                
                   Lecture: Do, 10-12h, SR 127, Ernst-Zermelo-Str. 1
                  
                   
                 
                 
                   Tutorial: 2 hours, date to be determined and announced in class 
                  
                  
                
Requirements on examinations, assessments and coursework will be described in the supplements of the module handbooks to be published as part of the course cataloque by end of October.
Supplementary Module in Mathematics
Please refer to the Supplements to the Module Handbooks for the number of ECTS credits.Numerical Optimization
                   Lecturer:  Moritz Diehl 
                      Language: in English 
                  
                
                   Tutorial / flipped classroom: Di, 14-16h, HS II, Albertstr. 23b
                  
                   
                 
                 
                   Sit-in exam: date to be announced 
                  
                  
                
The aim of the course is to give an introduction into numerical methods for the solution of optimization problems in science and engineering. The focus is on continuous nonlinear optimization in finite dimensions, covering both convex and nonconvex problems. The course divided into four major parts:
The course is organized as inverted classroom based on lecture recordings and a lecture manuscript, with weekly alternating Q&A sessions and exercise sessions. The lecture is accompanied by intensive computer exercises offered in Python (6 ECTS) and an optional project (3 ECTS). The project consists in the formulation and implementation of a self-chosen optimization problem or numerical solution method, resulting in documented computer code, a project report, and a public presentation. Please check the website for further information.
necessary: Analysis I–II, Linear Algebra I–II
useful: Introduction to Numerics
Supplementary Module in Mathematics
Please refer to the Supplements to the Module Handbooks for the number of ECTS credits.Introduction to Programming for Science Students
                   Lecturer:  Ludwig Striet 
                      Language: in German 
                  
                
                   Lecture: Mo, 16-18h, HS Weismann-Haus, Albertstr. 21a
                  
                   
                 
                 
                   Tutorial: 2 hours, various dates 
                  
                  
                
none
Supplementary Module in Mathematics
Please refer to the Supplements to the Module Handbooks for the number of ECTS credits.Computer exercises in Numerics
                   Lecturer:  Patrick Dondl 
                      Language: in German 
                  
                
In the practical exercises accompanying the Numerics II lecture, the algorithms developed and analysed in the lecture are implemented in practice and tested experimentally. The implementation is carried out in the programming languages Matlab, C++ and Python. Elementary programming skills are assumed.
See the lecture Numerics II.
In addition elementary programming knowledge.
Supplementary Module in Mathematics
Please refer to the Supplements to the Module Handbooks for the number of ECTS credits.Computer Exercises
                   Lecturer:  Peter Pfaffelhuber 
                      Language: in English 
                  
                
                    Mo, 12-14h, SR 127, Ernst-Zermelo-Str. 1
                  
                   
                 
                 
              
Supplementary Module in Mathematics
Please refer to the Supplements to the Module Handbooks for the number of ECTS credits.Please note the registration modalities for the individual seminars published in the course catalogue: As a rule, places are allocated at the preliminary meeting at the end of the summer semester lecture period. You must then register for the examination in HISinOne; the registration period is expected to run from 1 March to 15 April 2026.
Seminar: Algebraic D-Modules
                   Lecturer:  Annette Huber-Klawitter 
                    Assistant:  Ben Snodgrass 
                     Language: Talk/participation possible in German and English 
                  
                
                   Seminar: Mo, 10-12h, SR 404, Ernst-Zermelo-Str. 1
                  
                   
                 
                 
                   Preliminary Meeting 
                  
                  
                
Supplementary Module in Mathematics
Please refer to the Supplements to the Module Handbooks for the number of ECTS credits.Seminar: Approximation Properties of Deep Learning
                   Lecturer:  Diyora Salimova 
                      Language: Talk/participation possible in German and English 
                  
                
                   Seminar: Mi, 14-16h, SR 226, Hermann-Herder-Str. 10
                  
                   
                 
                 
                   Preregistration: by e-mail to Diyora Salimova
                  
                   Preliminary Meeting 
                  
                   Preparation meetings for talks: Dates by arrangement 
                  
                  
                
Supplementary Module in Mathematics
Please refer to the Supplements to the Module Handbooks for the number of ECTS credits.Seminar on representation theory
                   Lecturer:  Wolfgang Soergel 
                      Language: Talk/participation possible in German and English 
                  
                
                   Seminar: Do, 10-12h, SR 125, Ernst-Zermelo-Str. 1
                  
                   
                 
                 
                   Preregistration: by e-mail to Wolfgang Soergel
                  
                   Preliminary Meeting 
                  
                   Preparation meetings for talks: Dates by arrangement 
                  
                  
                
Supplementary Module in Mathematics
Please refer to the Supplements to the Module Handbooks for the number of ECTS credits.Seminar: Strong Homologies, Derived Limites, and Set Theory
                   Lecturer:  Heike Mildenberger 
                    Assistant:  Maxwell Levine 
                     Language: Talk/participation possible in German and English 
                  
                
                   Seminar: Di, 16-18h, SR 125, Ernst-Zermelo-Str. 1
                  
                   
                 
                 
                   Preliminary Meeting 
                  
                   Preparation meetings for talks: Dates by arrangement 
                  
                  
                
Supplementary Module in Mathematics
Please refer to the Supplements to the Module Handbooks for the number of ECTS credits.Seminar on probability theory
                   Lecturer:  Angelika Rohde 
                      Language: Talk/participation possible in German and English 
                  
                
Supplementary Module in Mathematics
Please refer to the Supplements to the Module Handbooks for the number of ECTS credits.Seminar: String Topology
                   Lecturer:  Nadine Große 
                    Assistant:  Maximilian Stegemeyer 
                     Language: Talk/participation possible in German and English 
                  
                
                   Seminar: Di, 12-14h, SR 125, Ernst-Zermelo-Str. 1
                  
                   
                 
                 
                   Preliminary Meeting 
                  
                   Preparation meetings for talks: Dates by arrangement 
                  
                  
                
Supplementary Module in Mathematics
Please refer to the Supplements to the Module Handbooks for the number of ECTS credits.Seminar: Topics in the Calculus of Variations
                   Lecturer:  Patrick Dondl, Guofang Wang 
                      Language: Talk/participation possible in German and English 
                  
                
                   Seminar: Mi, 16-18h, SR 125, Ernst-Zermelo-Str. 1
                  
                   
                 
                 
                   Preliminary Meeting SR 125, Ernst-Zermelo-Str. 1
                  
                   Preparation meetings for talks: Dates by arrangement 
                  
                  
                
In HISinOne: no course registration, but exam registration until 15 April 2026.
Supplementary Module in Mathematics
Please refer to the Supplements to the Module Handbooks for the number of ECTS credits.Seminar: Medical Data Science
                   Lecturer:  Harald Binder 
                      Language: Talk/participation possible in German and English 
                  
                
                   Seminar: Mi, 10:15-11:30h, HS Medizinische Biometrie, 1. OG, Stefan-Meier-Str. 26
                  
                   
                 
                 
                   Preregistration: 
                  
                   Preliminary Meeting HS Medizinische Biometrie, 1. OG, Stefan-Meier-Str. 26
                  
                  
                
In HISinOne: no course registration, but exam registration until 8 October 2025.
To answer complex biomedical questions from large amounts of data, a wide range of analysis tools is often necessary, e.g. deep learning or general machine learning techniques, which is often summarized under the term ``Medical Data Science''. Statistical approaches play an important rôle as the basis for this. A selection of approaches is to be presented in the seminar lectures that are based on recent original work. The exact thematic orientation is still to be determined.
Good knowledge of probability theory and mathematical statistics.
Supplementary Module in Mathematics
Please refer to the Supplements to the Module Handbooks for the number of ECTS credits.