Heidelberg Graduate School HGS MathComp

HGS MathComp Curriculum

WS 08/09SS 09WS 09/10SS 10WS 10/11SS 11WS 11/12SS 12WS 12/13SS 13

Core Courses
Compact Courses
info  Image Sensors Prof. Dr. Bernd Jähne July 13th - 16th 2009 ECTS-Points: 3
Abstract: Planned topics

Monday 13. July 2009
10:15 - 11:45
Introduction and overview, principles of photon sensing: external and internal photo effect, thermal effects;
Performance characteristics, noise sources & characteristics, linearity, saturation, speed, the ideal image sensor
13:15 - 14:45
Charge-coupled devices (CCD): principle of analog charge transfer, types of CCD-sensors: frame transfer, interline, EM-CCD; electronic shutter,
15:15 - 16:45
Analog-digital conversion, standard digital camera interfaces: CameraLink, IEEE 1994 (Firewire), synchronization and triggering

Tuesday 14. July 2009
10:15 - 11:45
CMOS image sensors: active pixels, logarithmic image sensors, high-dynamic range imaging, high-speed image sensors
13:15 - 14:45
Color sensors, thermal imaging & non-silicon image sensors: PtSi, InSb, HgCdTe, quantum well infrared photodetectors (QWIPs), InAs/GaSb superlattice detectors
15:15 - 16:45
Non-uniformity of image sensors, pixel defects, blooming, smearing, and other artifacts

Wednesday 15. July 2009
10:15 - 11:45
Sensors for depth imaging & fluorescence lifetime imaging
13:15 - 14:45
Geometry & radiometry of imaging: which parameters influence the size & brightness of digital images?
15:15 - 16:45
Diffraction-limited imaging, linear system theory of imaging, sensor MTF

Thursday 16. July 2009
10:15 - 11:45
Methods and equipment for image sensor characterization, photon transfer method, EMVA 1288 standard
13:15 - 16:45
Practical demonstrations
Time: 10:00 Location: HCI, Speyerer Straße 6, Seminar room H2.22, 2. OG
ECTS-Points: 3
info  Optimization with Differential Equations Dr. Sebastian Sager July, 20th through 24th 2009 ECTS-Points: 3
Abstract: The block course will give a tutorial introduction to optimization with differential equations. It will build on a compact overview of deterministic optimization algorithms, derivative generation, and extensions towards optimal control. The theoretic overview will be complemented by practical hands-on exercises in the computer pool of IWR. The introduction part will be followed by one and a half days with external speakers reporting on state-of-the-art projects in the field of optimization with differential equations.
Link for more information
Time: 9:00 Location: IWR; Heidelberg University
ECTS-Points: 3
info  Ordinary Differential Equations for Scientists Dr. Michael Winckler, Dr. Thomas Lorenz ECTS-Points: 3
Abstract: This compact course is geared towards doctoral and master students who work with models of ordinary differential equation (ODE) type.

Starting from the foundations of high-school mathematics the course develops both theoretical foundations and numerical examples of solving initial value problems of ODE type. The main focus lies on understanding the concepts of the theoretical examples and the successful application of software to solve such systems.

In various application exercises course members will get an understanding of *how* numerical software treats such initial value problems and *what* can go wrong in this solution process.

Application examples will use the software package ODESIM which was developed at IWR, Heidelberg University.
Link for more information
Time: 9:00 Location: OMZ Room U011 and U013
ECTS-Points: 3

Workshops & Schools
Workshops
info  Numerical Solution of Partial Differential Equations with DUNE Prof. Peter Bastian, Dr. Stefan Lang ECTS-Points: 3
Abstract: In many areas of science and engineering numerical simulation is an
important tool for research and development. Current simulation
trends range from multiscale-/multiphysics modelling to the usage of
parallel machines with PetaFlops performance. The Distributed and
Unified Numerics Environment (DUNE) tries to fit these
heterogeneous requirements inside a single environment with novel
numerical techniques as well as state-of-the-art software development
methods.

By participating in this course scientists have the opportunity to get
a hands-on introduction to the DUNE framework. Main focus is to give a
detailed introduction to the DUNE core modules: the grid interface
including IO methods with its numerous grid implementations and the
iterative solver module ISTL. In the exercises elliptic and hyperbolic
model problems will be solved with various methods.
Link for more information
Time: 9:00 Location: Otto-Meyerhof-Zentrum, INF 350
ECTS-Points: 3
info  Modellgestützte Parameterschätzung: Theorie und Anwendungen Various ECTS-Points: 3
Abstract: Der Workshop wird einen Überblick über mathematische Methoden der
modellbasierten Parameterschätzung und zahlreiche Anwendungen in
unterschiedlichen Fachbereichen geben. Zielgruppe des Workshops sind
alle Wissenschaftler der Universität Heidelberg und ihre Projektpartner.

Organisation:
* H. G. Bock
* T. Carraro
* W. Jäger
* S. Körkel
* R. Rannacher
* J. P. Schlöder

Kontakt: mpta@uni-hd.de
Link for more information
Time: 9:00 Location: IWR; Heidelberg University
ECTS-Points: 3

Further Studies
Lectures
info  Molekulares Modellieren (Vorlesung / Übung) Prof. Comba, Dr. rer. nat. Martin ECTS-Points: 3
Time: 9:00 ECTS-Points: 3
info  Graphische Modelle (Spezialvorlesung m. Übungen) Prof. Dahlhaus, Prof. Schnörr ECTS-Points: 3
Link for more information Time: 14:00 Location: INF 294 (Angewandte Mathematik), HS 134
ECTS-Points: 3
info  Modern methods of time-dependent quantum dynamics Prof. Dr. H.-D. Meyer ECTS-Points: 3
Time: 10:15 Location: INF 229 SR 108/110
ECTS-Points: 3
Practicals
info  Practical in Computer Science (Advanced) Prof. Reinelt, Dipl.-Math. Speth ECTS-Points: 0
Time: 9:00 ECTS-Points: 0
info  Solving PDE with GASCOIGNE Dr. Thomas Richter ECTS-Points: 0
Time: 16:00 Location: INF 293, SR 215
ECTS-Points: 0
Seminars
info  Project Management for Doctoral Projects Dr. Ute Leidig ECTS-Points: 0
Abstract (PDF)
Time: 9:00 Location: Universität Heidelberg / Abteilung Schlüsselkompetenzen, Bergheimer Straße 20
ECTS-Points: 0