Helmuth O. Maucher Professorship - Nils Bertschinger - Teaching
SoSe 20
Programmierparadigmen und Compilerbau
WiSe 19/20
Programmiersprachen 2
This course is in German, please see the corresponding page.
Machine Learning I
News:
Important: The second exam will take place on June 26 at 9:30 in HZ3
- You need to register via QIS/LSF!
- You need to sign this PDF and bring it along on the day of the exam!
- The exam takes place in the lecture hall HZ3 at Campus Westend!
Sample exam questions can be found here PDF
We seek well-motivated students for Master- or Bachelor thesis projects to develop and apply deep learning methods for processing and analysing biological and medical imaging/microscopy data.
If you are interested, please contact Matthias Kaschube: kaschube_at_fias.uni-frankfurt.de
Lecture: Tue 16:15-17:45, Magnus Hörsaal
Exercises: Tue 14:15-15:45, H8
Date | Lecture | Problem set | Tutorial |
2019-10-15 |
Slides PDF |
NA | Probability theory |
2019-10-22 |
Slides PDF |
NA |
Linear algebra |
2019-10-29 |
Slides PDF |
Exercise sheet PDF |
|
2019-11-05 |
Slides PDF |
Exercise sheet PDF |
Multivariate Gaussian |
2019-11-12 |
Interactive Notebooks Link |
Exercise sheet PDF |
|
2019-11-19 |
Slides PDF |
||
2019-11-26 |
Slides PDF |
Exercise sheet PDF |
Climate change Link, Link |
2019-12-03 |
Slides PDF |
||
2019-12-10 |
Slides PDF |
Exercise sheet PDF |
|
2019-12-17 |
Slides PDF |
||
2020-01-14 |
Interactive Notebooks Link |
Exercise sheet PDF |
|
2020-01-21 |
Slides PDF |
Exercise sheet PDF |
|
2020-01-28 |
Slides PDF |
||
2020-02-04 |
Slides PDF |
Test exam PDF |
|
2020-02-11 |
Research applications of ML PDF PDF |
Pattern Analysis and Machine Intelligence
Seminar: Thu 8:15-9:45, SR 11
Date | Presenter | Topic | Supervisor |
14.11.2020 | Ritzke | A Conceptual introduction to HMC | Bertschinger |
Vogt | Generative Adversarial Networks | Bertschinger | |
21.11.2019 | Schuhmann | A beginner's guide to the mathematics of neural networks | Ramesh |
van de Goor | Deep factors for forecasting | Ramesh | |
28.11.2019 | Khadush | Generating visual explanations | Ramesh |
Gampe | Explainable AI: The new 42? | Ramesh | |
5.12.2019 | Ludwig | Adaptive compression-based lifelong learning | Ramesh |
Leis | Deep neural network compression for aircraft collision avoidance systems | Ramesh | |
12.12.2019 | Becker | Engineering a less artificial intelligence | Kaschube |
Pietschmann | Neuroscience-inspired artificial intelligence | Kaschube | |
19.12.2019 | Iatrou | Weight agnostic neural networks | Kaschube |
Asimovska | Human-level control through deep reinforcement learning | Kaschube | |
16.01.209 | Usov | Solving Bongard Problems with a Visual Language and Pragmatic Reasoning | Kaschube |
23.01.2020 | Vu Huu | FaceForensics++: Learning to Detect Manipulated Facial Images | Bertschinger |
Hoang | Everybody dance now | Bertschinger | |
30.01.2020 | Tsang | Knet: beginning deep learning with 100 lines of Julia | Bertschinger |
Mansurova | ∂P: A Differentiable Programming System to Bridge Machine Learning and Scientific Computing |
Bertschinger
|
News:
We seek well-motivated students for Master- or Bachelor thesis projects to develop and apply deep learning methods for processing and analysing biological and medical imaging/microscopy data.
If you are interested, please contact Matthias Kaschube: kaschube_at_fias.uni-frankfurt.de
Complex Networks - Methods and Algorithms
Many complex systems in nature, technology or society can be represented as networks consisting of nodes connected by links. Such an approach has not only revealed structural regularities in different types of systems, e.g. food webs and social networks, suggesting common underlying mechanisms and concepts, but is also used to study the influence of the corresponding network structure on the behavior and function of the system. Recently methods from complex network theory have been applied to financial data and models, often to access systemic risk arising from the interconnections of the corresponding systems. This course represents an introduction to concepts and methods from complex network theory. Topics include: basic network models; sampling techniques; spreading, percolation and cascade processes on networks; network control; network models for financial systems.
A substantial part of the lecture and exercises is based on the book "Networks: An Introduction" by M. E. J. Newman
Programming exercises will be done using R. We highly recommend to install RStudio, freely available from https://www.rstudio.com/, to get most out of the exercises.
Date | Lecture | Problem set | Tutorial |
2019-10-17 |
Introduction PDF and PDF |
||
2019-10-24 | Slides PDF |
R tutorial (R markdown, HTML) |
|
2019-10-31 | Slides PDF |
Ex. sheet PDF |
|
2019-11-07 | Slides PDF |
Solution Ex. 1 PDF |
|
2019-11-14 | Slides PDF |
Ex. sheet PDF |
|
2019-11-21 | Slides PDF |
Solution Ex. 2 PDF |
|
2019-11-28 | Slides PDF |
Ex. sheet PDF |
|
2019-12-05 | Slides PDF |
Solution Ex. 3 PDF |
|
2019-12-12 | Slides PDF |
Ex. sheet PDF |
|
2020-01-16 | Slides PDF |
Solution Ex. 4 PDF |
|
2020-01-23 | Slides PDF |
Ex. sheet PDF |
|
2020-01-30 |
Slides PDF |
Solution Ex. 5 PDF |
|
2020-02-06 |
Slides PDF |
Ex. sheet PDF |
|
2020-02-13 |
Slides PDF |
Solution Ex. 6 PDF |
SoSe 19
Programmiersprachen 1
Please switch to the German page.
Pattern Analysis and Machine Intelligence
Seminar: Thu 8:15-9:45, SR 11
List of topics
- Bertschinger: Topics.txt
- Ramesh: Link
Course schedule
Date | Presenter | Topic | Supervisor | |
---|---|---|---|---|
1 | 02/05/19 | Rechberger | AI in Education needs interpretable machine learning: Lessons from Open Learner Modelling | Ramesh |
1 | 02/05/19 | Baral | Dropout: A Simple Way to Prevent Neural Networks from Overfitting | Ramesh |
2 | 09/05/19 | Krause | Knet: beginning deep learning with 100 lines of Julia | Bertschinger |
2 | 09/05/19 | Jaziri | Deep Probabilistic Programming | Bertschinger |
2 | 09/05/19 | Ioannou | Probabilistic Programming – Stan | Bertschinger |
3 | 16/05/19 | Zhang | A Conceptual Introduction to Hamiltonian Monte Carlo | Bertschinger |
3 | 16/05/19 | Hammerla | A Conceptual Introduction to Hamiltonian Monte Carlo | Bertschinger |
3 | 16/05/19 | Ulmer | Adam: A Method for Stochastic Optimization | Bertschinger |
4 | 23/05/19 | Römer | Reality-check for Econophysics: Likelihood-basedfitting of physics-inspired market models to empirical data | Bertschinger |
4 | 23/05/19 | Baumgartner | How Bayesian Analysis Cracked the Red-State, Blue-State Problem | Bertschinger |
5 | 06/06/19 | Huth | Towards a Systematic Evaluation of Generative Network Models | Bertschinger |
5 | 06/06/19 | Schröber | Stochastic blockmodels and community structure in networks | Bertschinger |
6 | 13/06/19 | Dahmann | This looks like that: deep learning for interpretable image recognition | Ramesh |
6 | 13/06/19 | Erol | This looks like that: deep learning for interpretable image recognition | Ramesh |
7 | 27/06/19 | Tel | Robust Physical-World Attacks on Deep Learning Visual Classification | Bertschinger |
7 | 27/06/19 | Müller | Avoiding pathologies of deep architectures | Bertschinger |
8 | 04/07/19 | Pokhrel | Building Machines That Learn and Think Like People | Ramesh |
8 | 04/07/19 | Heissel | Building Machines That Learn and Think Like People | Ramesh |
9 | 11/07/19 | Zarbock | Unmasking Clever Hans predictors and assessing what machines really learn | Ramesh |
9 | 11/07/19 | Mozzhorin | "Why Should I Trust You?" Explaining the Predictions of Any Classifier | Ramesh |
10 | 18/07/19 | Samir | Snorkel: Rapid Training Data Creation with Weak Supervision | Ramesh |
10 | 18/07/19 | Meyer | The Mythos of Model Interpretability | Ramesh |
Machine Learning II
Lecture: Wed 16:15-17:45, NM 114
Tutorial: Wed 14:15 - 15:45, NM 114
Date | Lecture | Problem set | Tutorial |
17/04/2019 | Introduction PDF |
Ex. sheet 1 PDF |
Probability theory |
24/04/2019 |
Slides PDF |
Ex. sheet 2 PDF |
|
08/05/2019 |
Slides PDF |
Ex. sheet 3 PDF |
data_simpson.csv |
15/05/2019 |
Slides PDF |
Ex. sheet 4 PDF |
|
22/05/2019 |
Notebooks (PyMLVizard) |
Exercises (Link) (Link) |
|
29/05/2019 |
Notebooks (PyMLVizard) |
|
|
12/06/2019 |
Slides PDF |
Ex. sheet 5 PDF |
|
19/06/2019 |
Random forests (Notebooks) |
Exercises (Notebooks) |
Study material (external lecture) |
26/06/2019 |
Material Ramesh (Link) |
|
|
|
Note: The retake exam will be held on Wed, Sept. 11, at 14:00 in room NM 114 (same as the lecture).
Bayesian Methods in Economics and Finance
Mo 12:15-13:14, SH 1.105
Date | Material |
15/04/2019 | Introduction (PDF) |
29/04/2019 |
Priors (PDF) |
06/05/2019 |
Stan modeling (PDF) (R script) |
13/05/2019 |
Model selection (PDF) |
20/05/2019 |
Sampling (PyMLVizard) |
27/05/2019 |
Sampling (PyMLVizard) |
03/06/2019 |
NO CLASS! |
01/07/2019 |
Hierarchical modeling (HTML) (R markdown) |
08/07/2019 |
Vector Autoregression (PDF) (R script) |
15/07/2019 |
Bayesian nonparametrics (PDF) |
WiSe 18/19
Programmiersprachen 2
This course will be held in German, please switch to that page.
Machine Learning I
Lecture: 16:15-17:45, Magnus-Hörsaal
Tutorial: 14:15 - 15:45, H13 and SR307
Date | Lecture | Problem set | Tutorial |
2018-10-16 |
Introduction | NA | Probability theory |
2018-10-23 | Slides | Ex. sheet 1 |
Linear Algebra |
2018-10-30 | Slides | Ex. sheet 2 |
|
2018-11-06 | Notebook (PDF) |
Ex. sheet 3 |
|
2018-11-13 | Slides | Ex. sheet 4 |
|
2018-11-20 | Slides | Ex. sheet 5 |
|
2018-11-27 | Slides | Ex. sheet 6 |
|
2018-12-04 | Slides | ||
2018-12-11 | Slides | Ex. sheet 7 |
|
2018-12-18 | Slides | Ex. sheet 8 |
|
2019-01-15 | Notebook (Link) (PDF) | Ex. sheet 9 |
|
2019-01-22 | Notes (HTML) (R markdown) | Ex. sheet 10 |
|
2019-01-29 | Slides | Ex. sheet 11 |
|
2019-02-05 | Slides | ||
2019-02-12 | Slides |
The interactive notebooks are available from PyMLVizard.
Note that to run the notebooks in binder you will need to switch to the develop branch.
NEWS: Information about the final exam can be found here QiS/LSF Entry
Complex Networks - Methods and Algorithms
Many complex systems in nature, technology or society can be represented as networks consisting of nodes connected by links. Such an approach has not only revealed structural regularities in different types of systems, e.g. food webs and social networks, suggesting common underlying mechanisms and concepts, but is also used to study the influence of the corresponding network structure on the behavior and function of the system. Recently methods from complex network theory have been applied to financial data and models, often to access systemic risk arising from the interconnections of the corresponding systems. This course represents an introduction to concepts and methods from complex network theory. Topics include: basic network models; sampling techniques; spreading, percolation and cascade processes on networks; network control; network models for financial systems.
A substantial part of the lecture and exercises is based on the book "Networks: An Introduction" by M. E. J. Newman
Programming exercises will be done using R. We highly recommend to install RStudio, freely available from https://www.rstudio.com/, to get most out of the exercises.
Date | Lecture | Problem set | Tutorial |
2018-10-18 |
Introduction PDF and PDF |
||
2018-10-25 | Slides PDF |
Introduction to R Rmd and HTML | |
2018-11-01 | Slides PDF | Ex. sheet 1 PDF |
|
2018-11-08 | Slides PDF | Solution ex. sheet 1 PDF |
|
2018-11-15 | Slides PDF |
Ex. sheet 2 PDF |
|
2018-11-22 | Slides PDF |
Solution ex. sheet 2 PDF R source |
|
2018-11-29 | Slides PDF |
||
2018-12-06 | Slides PDF |
Linear Algebra PDF |
|
2018-12-13 | Slides PDF |
Ex. sheet 3 PDF |
|
2018-12-20 | Slides PDF |
Ex. sheet 4 PDF |
Solution ex. sheet 3 PDF |
2019-01-17 | Slides PDF |
Solution ex. sheet 4 PDF |
|
2019-01-24 | Slides PDF |
Ex. sheet 5 PDF |
|
2019-01-31 | Slides PDF |
Solution ex. sheet 5 PDF |
|
2019-02-07 | Slides PDF |
||
|
Pattern Analysis and Machine Intelligence
QiS/LSF entry
Course schedule
Date |
Name |
Topic | Supervisor |
15.11.2018 | D. Machajewski | The Surprising Creativity of Digital Evolution | Ramesh |
15.11.2018 | M. Machajewski | The Surprising Creativity of Digital Evolution | Ramesh |
29.11.2018 | Hahner | Hamiltonian Monte-Carlo | Bertschinger |
29.11.2018 | Allgöwer | Fitting econophysics models | Bertschinger |
06.12.2018 | Pitschmann | Stochastic blockmodels | Bertschinger |
06.12.2018 | Stobbe | Bayesian models of graphs | Bertschinger |
13.12.2018 | Altincan | Accessorize to a crime | Kaschube |
13.12.2018 | Vogel | DeepLabCut | Kaschube |
17.01.2019 | Klose | Deep Q-Learning | Ramesh |
17.01.2019 | Ditzel | Genetic CNN | Ramesh |
24.01.2019 | Banzhaf | Red-State, Blue-State Problem | Kaschube |
24.01.2019 | Konca | Dropout | Kaschube |
31.01.2019 | Fermpas | Towards Accountable AI | Ramesh |
31.01.2019 | Hess | Simultaneous Deep Transfer Across Domains and Tasks | Ramesh |
SoSe 18
Programmiersprachen 1
This course is in German, please refer to the German page.
Machine Learning II
Lecture: 16:15-17:45, Neue Mensa - NM 113
Tutorial: 14:15 - 15:45, Neue Mensa - NM 114
Date | Lecture | Problem set | Tutorial |
2018-04-11 | Introduction | - | Probability Theory |
2018-04-18 | Bayesian inference and conjugate priors | Exercise sheet 1 | Linear Algebra |
2018-04-25 | Linear Regression | Exercise sheet 2 | - |
2018-05-02 | Bayesian linear regression (demo) Data Modeling | Exercise sheet 3 | Data set |
2018-05-09 | Mixture Models | Exercise sheet 4 |
|
2018-05-16 |
Expectation Maximization Algorithm |
Exercise sheet 5 |
Data set
Implementation |
2018-05-23 |
Sampling part 1 Sampling part 2 |
Exercise sheet 6 |
config_check.py |
2018-05-30 |
Sampling part 3 Sampling part 4 |
Exercise sheet 7 |
|
2018-06-06 |
Sampling part 5 Sampling part 6 |
Exercise sheet 8 |
|
2018-06-13 |
Gaussian processes |
Exercise sheet 9 |
|
2018-06-27 |
Soccer modeling |
|
Data sets and code examples |
2018-07-04 |
Gaussian processes |
Exercise sheet 10 |
|
2018-07-11 |
SBM |
|
|
|
|
|
|
Seminar Pattern Analysis and Machine Intelligence
Seminar: Thu, 8:15 - 9:45, SR11
Date | Name | Topic | Supervisor |
---|---|---|---|
26.04.2018 | No course | ||
03.05.2018 | Robert am Wege | Deep Learning: An Introduction for Applied Mathematicians | Ramesh |
03.05.2018 | Ionut Petre Urs | Deep Learning: An Introduction for Applied Mathematicians | Ramesh |
17.05.2018 | Timothy Mason | Dropout: A Simple Way to Prevent Neural Networks from Overfitting | Bertschinger |
17.05.2018 | Elisabeth Schmidt | Dropout as a Bayesian Approximation: Insights and Applications | Bertschinger |
24.05.2018 | Gianluca Romano | Texture synthesis using CNNs | Kaschube |
24.05.2018 | Christopher Grosse | Accessorize to a Crime: Real and Stealthy Attacks on State-of-the-Art Face Recognition | Kaschube |
07.06.2018 | oor-ul-Sabha Amjad | Build, Compute,
Critique, Repeat: Data Analysis with Latent Variable
Models | Bertschinger |
14.06.2018 | No course | ||
21.06.2018 | Joshua Mendaza | Recent Advances in Recurrent Neural Networks | Ramesh |
28.06.2018 | Yulia Kim | Representation learning: A review and new perspectives | Kaschube | 05.07.2018 | Ramin Kanani | A Variational Analysis of Stochastic Gradient Algorithms | Bertschinger |
05.07.2018 | Hannah Wendland | A Conceptual Introduction to Hamiltonian Monte Carlo | Bertschinger |
12.07.2018 | No course |
WiSe 17/18
Machine Learning I
Winter Semester 2017/2018
Instructors: Matthias Kaschube, Nils Bertschinger
Lecture: 16:15-17:45, Magnus Hörsaal
Tutorial: 14:15 - 15:45, SR 11
Exam: 20th February, 14:00-16:00, Magnus Hörsaal (90 min)
13th March, 14:00-16:00, Magnus Hörsaal (90 min)
Date | Lecture | Problem Set | Tutorial |
---|---|---|---|
2017-10-17 | - | - | |
2017-10-24 | week2.pdf | Exercise 1 | Linear Algebra |
2017-10-31 | Reformation Day Holiday | ||
2017-11-07 | week3.pdf | Exercise 2 | Exercises |
2017-11-14 | week4.pdf | - | - |
2017-11-21 | week5.pdf | Exercise 3 | How-To: Posterior Distribution |
2017-11-28 | week6.pdf | Exercise 4 | How-To: Linear Model |
2017-12-05 | week7.pdf | Exercise 5 | |
2017-12-11 | week8.pdf | Exercise 6 | |
2017-12-19 | week9.pdf | Exercise 7 | Training Data |
2018-01-09 | week10.pdf | - | - |
2018-01-16 | week11.pdf | Exercise 8 | |
2018-01-23 | week12.pdf | Minimal Solution for Exercise 7 | |
2018-01-30 | week13.pdf | How-To: Classification | Tensor Flow Introduction |
Seminar "Pattern Analysis and Machine Intelligence"
Programmiersprachen 2
Complex Networks -- Methods and Algorithms
Many complex systems in nature, technology or society can be represented as networks consisting of nodes connected by links. Such an approach has not only revealed structural regularities in different types of systems, e.g. food webs and social networks, suggesting common underlying mechanisms and concepts, but is also used to study the influence of the corresponding network structure on the behavior and function of the system. Recently methods from complex network theory have been applied to financial data and models, often to access systemic risk arising from the interconnections of the corresponding systems. This course represents an introduction to concepts and methods from complex network theory. Topics include: basic network models; sampling techniques; spreading, percolation and cascade processes on networks; network control; network models for financial systems.
A substantial part of the lecture and exercises is based on the book "Networks: An Introduction" by M. E. J. Newman
Programming exercises will be done using R. We highly recommend to install RStudio, freely available from https://www.rstudio.com/, to get most out of the exercises.
Further material, e.g. lecture slides and exercise sheets, will be made available here ...
- Lecture, Oct 19: Slides PDF, PDF
- Exercise, Oct 26: R Markdown, HTML R Markdown files combine markup formatted text with R code. Rstudio can readily edit such documents and convert them to HTML with embedded code and figures. Exercise sheet 1 PDF
- Lecture, Oct 26: Slides PDF
- Lecture, Nov 2: Slides PDF
- Exercise, Nov 9: Solution for sheet 1 PDF Exercise sheet 2 PDF
- Lecture, Nov 9: Slides PDF
- Nov 16: No class Note: There will be two lectures on Nov 23
- Lecture, Nov 23: Slides PDF, Slides PDF, DebtRank simulation R script
- Nov 30: No class. Due to illness the lecture has to be cancelled.
- Exercise, Dec 7: Solution for sheet 2 PDF Exercise sheet 3 PDF
- Lecture, Dec 7: Slides PDF
- Lecture, Dec 14: Slides PDF
- Exercise, Dec 21: Solution for sheet 3 PDF Exercise sheet 4 PDF
- Lecture, Dec 21: Slides PDF
- Lecture, Jan 11: Slides PDF
- Exercise, Jan 18: Solution for sheet 4 PDF Exercise sheet 5 PDF
- Lecture, Jan 18: Slides PDF
- Lecture, Jan 25: Slides PDF Test exam PDF
- Exercise, Feb 1: Solution for sheet 5 PDF
- Lecture, Feb 1: Slides PDF
SoSe 17
Machine Learning II
Further material, e.g. lecture slides, data sets, will be made available here.
Material:
- April 19: Exercise slides PDF Lecture slides PDF
- April 26: Exercise slides PDF Exercise sheet PDF Lecture slides PDF
- May 3: Exercise sheet PDF Lecture slides PDF
- May 10: Exercise sheet PDF Note: There is an error in Ex. 3.3. You will have time to solve the corrected version till May 24. Lecture slides PDF Interactive Visualization R code (To run it start R and then load it with source("shinyLR.R", echo=TRUE) ... hope it works for you)
- May 17: Exercise sheet PDF Lecture slides PDF Demo script Python code
- May 24: Exercise sheet PDF Regularization demo IPython Notebook Lecture slides PDF
- May 31: Exercise sheet PDF Lecture slides PDF
- June 7: Exercise sheet PDF Lecture notes IPython Notebook (PDF)
- June 14: Exercise sheet PDF Lecture notes IPython Notebook (PDF)
- June 21: Exercise sheet PDF Training data CSV, CSV Lecture notes IPython Notebook (PDF)
Seminar "Pattern Analysis and Machine Intelligence"
Bayesian methods in Economics and Finance
Bayesian methods are becoming more and more popular, mainly thanks to modern algorithms and increasing computer power, as tools for statistical modeling and inference. This course will introduce the Bayesian philosophy of statistical modeling and important algorithms, e.g. Monte-Carlo sampling and variational methods, which will be illustrated on several examples from finance and econometrics.
Further material, e.g. lecture slides, data sets, will be made available here.
Material:
April 27: Lecture slides PDF
May 4: Lecture slides PDF
May 11: Lecture slides PDF + accompanying R code
May 18: Lecture slides PDF + accompanying Python code
Interactive Visualization R code ... to run it start R and then load it with source("shinyLR.R", echo=TRUE)
June 1: Lecture notes PDF + Jupyter Notebook
June 29: Lecture notes HTML + R markdown
June 13: Lecture notes HTML + R markdown
July 20:Lecture slides PDF + accompanying R code
Lecture slides PDF
Lecture notes HTML + R markdown
Note: There will be an additional lecture from 14 to 16 o'clock in room 4.106
Programmiersprachen 1
WiSe 16/17
Machine Learning I
Seminar "Pattern Analysis and Machine Intelligence"
Complex Networks -- Methods and Algorithms
Informationstheorie
In dieser Vorlesung werden die grundlegenden Begriffe der Informationstheorie eingeführt und ihre Anwendung in der Datenkompression, Signalverarbeitung und Finanzmathematik dargelegt.
Zeitplan (Die Vorlesung am Donnerstag ist in den Seminarraum NM 111 verlegt worden!) Vorlesung: 1. Kapitel, 2. Kapitel, 3. Kapitel, 4. Kapitel, 5. Kapitel Übung: 1. Übung, 2. Übung, 3. Übung, 4. Übung, 5. Übung, 6. Übung, 7. Übung Lösung: 1. Lösung, 2. Lösung, 3. Lösung, 4. Lösung, 5. Lösung, 6. Lösung, 7. Lösung
Nachklausur: 28.03.2017 von 10oo bis 12oo im H7 (Uhrzeiten sind scharf, d. h. ohne akademische Viertelstunde!). Skript und Übungsblaetter dürfen nicht mitgeführt werden. Teilnahmebedingung sind mindestens 56 erlangte Übungspunkte.