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Teaching Mathematical Modelling National Network Project. Matti Heiliö, LUT Robert Piché and Seppo Pohjolainen Institute of Mathematics, TUT. a pilot project of Finnish Virtual University course methods and contents IT tools student and expert comments conclusions, future directions.
Started in 2001 by ministry of education
• improve networking between universities
• develop pedagogical skills
• support innovative uses of ICT in education
• make VU an attractive alternative
Tampere University of Technology
Helsinki University of Technology
Lappeenranta Univ of Technology
University of Helsinki
University of Joensuu
University of Jyväskylä
University of Kuopio
University of Oulu
University of Tampere
Centre for Scientific Computing
Design the flow control for a fountain in a windy square
Predict the population of Finland in 2100
Does toast tend
to fall buttered
Are fingerprints unique?
Modelling with PDEs
fields, flows and waves
FEM for multiphysics
tractor cabin acoustics
melting and solidification
silicon crystal growth
Introduction to MM
the modelling process
Modern Data Analysis
fuzzy & multivalued logic
MCMC for process parameter estimation
statistical methods for pattern recognition
mixed models for forest harvester operation
multivariate regression and DOE for process optimization.
Brownian motion in finance and communications
stochastic diff eqns
time series analysis
Modelling visual motion
How to reconstruct motion and shape from a video sequence: feature extraction, optical flow and visual velocity field, projecting 3d rigid body motion onto image sequence, statistical calibration.
Methods for Continuum Modelling
linearisation, asymptotics, regularisation, model fitting, model based optimization and control
Were technical problems
a significant obstacle?
How many lectures
did you watch?
How many hours
did you work?
Would you like to take a
similar course again?
Would you recommend
this course to a friend?
Term projects support meaningful learning
• contexts are novel & authentic
• students are active
• structure & apply theory
• oral presentation & comments
Good technical implementation
• A&O learning environment simple to use, good visual layout, easy navigation, schedule
• use of widely supported file types (HTML, PDF)
• local tutors & tech support
• in video lectures, the lecturers’ train of thought was supported rhythmically with motion and articulation
Finnish students to ECMI Modelling Week
Study Groups in Tampere ‘02, Helsinki ‘04
graduate school proposal
EU project applicationCooperation of teachers & practitioners in math modelling
Courses are now integrated into the standard curriculum at 7 universities