MSc Applied Mathematics

MSc Applied Mathematics
Program Applied Mathematics
AM core
Scientific Computing
Continuous Optimization
Philosophy of Engineering
SACS core
Applied Functional Analysis
Optimal Control
Applied Finite Elements
OR core: 3 out of
DISCRETE OPTIMIZATION
(OR to be added)
GAME THEORY
MARKOV DECISION THEORY
STOCHASTIC PROCESSES
QUEUEING THEORY
NETWORKS OF QUEUES
SACS
Hybrid Systems, Applied Analysis &
Computational Science
MSC 2015
SACS
Hybrid Systems, Applied Analysis & Computational Science
Bernard Geurts
Stephan van Gils
Jaap van der Vegt
Hans Zwart
Research Highlights
Immersed Boundary Method for complex domains
1
0.8
y
0.6
0.4
0.2
0
0
0.5
1
1.5
x
2
2.5
Scientific computing
 sensitivity analysis, model for multiscale flow-tissue degradation
 transport in porous media, filtration, heat and mass transfer
3
Research Highlights
Neuronal Dynamics
Mathematical Neuroscience
 Modeling Cortex (Epilepsy), Basal Ganglia (Parkinson), Binocular
Rivalry (vision)
 Analysis of neural field equations
Research Highlights
Imaging and Inverse Problems in Biomedicine
4D live microscopy in cell biology
Video reconstructions
Tracking – flow estimation
 Quantitative data analysis
Tomography in biomedicine
Indirect, noisy measurements
Accurate 3D/4D reconstructions
 Math where standard techniques fail
Related topics: PDEs, inverse problems (modeling)
Variational methods, functional analysis (analysis)
Numerics, optimization (computations)
Research Highlights
Numerical methods and analysis
Efficient Numerical Algorithms
 Inkjet printing, water waves, photonic crystals
 Adaptive grid, discontinuous Galerkin methods
Research Highlights
Control over Networks
Goal: By advertising at the right places,
make more people buy Grolsch
21 December 2015
9
Research Highlights
Control of Nano-gripper
21 December 2015
10
Employment
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Marin
Deltaris
Philips Research
ASML
Universities
Shell
NLR
Medtronic
MSc Applied Mathematics
Track Operations Research
Richard Boucherie
OR chairs: Discrete Mathematics & Mathematical Programming (DMMP)
Stochastic Operations Research (SOR)
Operations Research: The world
http://www.utwente.nl/en/education/master/programmes/applied
-mathematics/specialization/operations-research/
Models and Methods for Optimization in Industry, Business,
or Services (a.k.a. Business Analytics)
Applied Mathematics: Track OR
21.12.2015
Operations Research: UT application areas
Health Care
(UT Center CHOIR)
Energy
(UT Center SETS)
Traffic
(Omnitrans)
Production & Logistics
(ORTEC)
Internet & Big Data
(Google)
Security
(TNO, Defense Academy, Internet)
…
Applied Mathematics: Track OR
21.12.2015
Operations Research: UT embedding
 Computer Science
 Management Science
 Electrical Engineering
OR
 Civil Engineering
 Mathematics
 Twente Graduate School programme:
Industrial Engineering and Operations Research
Applied Mathematics: Track OR
21.12.2015
Operations Research: Mathematical Tools
 Discrete Optimization
 Continuous Optimization
 Scheduling
 Optimization Modeling
 Stochastic Processes
 Queuing Theory
 Markov Decision Theory
 Networks of Queues
 Game Theory
 Discrete Event Simulation
 Spatial statistics
 Capita Selecta Operations Research (Seminar)
 LNMB programme
 Mastermath
Applied Mathematics: Track OR
21.12.2015
Operations Research: Program Overview
1st year: 60 EC course load with focus on
discrete and stochastic optimization models
2nd year:
20 EC traineeship
40 EC MSc thesis
Duaal
Applied Mathematics: Track OR
21.12.2015
Operations Research:Traineeship & Thesis
Traineeship
 companies inside NL and universities abroad
(Australia, Germany, Italy, USA,…)
 often combined with MSc
MSc thesis
 possible in internal projects (~20%)
 or external with company (~ 80%)
 PDEng – Healthcare logistics
 PhD
Applied Mathematics: Track OR
21.12.2015
Operations Research: UT team
www.utwente.nl/ewi/dmmp/
www.utwente.nl/ewi/sor/
Applied Mathematics: Track OR
21.12.2015
Operations Research: Graduation Projects
Maartje Zonderland(MSc): Redesign of
Hospital Layout @ LUMC, Leiden
Stijn Duizer (MSc): Map Processing for TomTom
@ CQM Consultants, Eindhoven
www.utwente.nl/ewi/sor/
www.utwente.nl/ewi/dmmp/
Applied Mathematics: Track OR
21.12.2015
Operations Research: Graduation Projects
www.utwente.nl/ewi/sor/
www.utwente.nl/ewi/dmmp/
Applied Mathematics: Track OR
21.12.2015
Operations Research: Your background
Computer Science
Management Science
Electrical Engineering
Civil Engineering
Industrial Engineering
Mathematics
OR
Physics
Econometrics
Operations Research
…..
Applied Mathematics: Track OR
21.12.2015
Chairs: Operations Research
www.utwente.nl/ewi/dmmp/
www.utwente.nl/ewi/sor/
Applied Mathematics: Track OR
21.12.2015