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Teaching Mathematical Modelling National Network Project

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.

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Teaching Mathematical Modelling National Network Project

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  1. Teaching Mathematical Modelling National Network Project • Matti Heiliö, LUT • Robert Piché and Seppo Pohjolainen • Institute of Mathematics, TUT

  2. a pilot project of Finnish Virtual University course methods and contents IT tools student and expert comments conclusions, future directions National virtual university network

  3. The Finnish Virtual University Started in 2001 by ministry of education Goals: • improve networking between universities • develop pedagogical skills • support innovative uses of ICT in education • make VU an attractive alternative

  4. modelling skills useful to industry & science curriculum not established experts & students scattered emphasis on independent study and communication Good choice as a national pilot project

  5. Brings together teachers and students across the country Participating institutions: 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

  6. 60-70 students and 9 teachers A&O: sign-up, schedule, links, uploads, discussion videoconferenced opening lecture local tutor & tech support streaming video lectures, synchronised slides weekly assignments, student comments project, videoconference presentation Course structure

  7. Accessible anytime, anywhere

  8. Project themes are open-ended Design the flow control for a fountain in a windy square Predict the population of Finland in 2100 Does toast tend to fall buttered side down? Are fingerprints unique?

  9. Courses cover a range of topics Modelling with PDEs fields, flows and waves FEM for multiphysics tractor cabin acoustics melting and solidification silicon crystal growth impedance tomography Introduction to MM mathematics applications the modelling process numerical software continuum models differential equations dimensional analysis discrete models fitting data probabilistic models decision analysis Modern Data Analysis fuzzy & multivalued logic neural networks genetic algorithms data mining decision analysis Statistical Modelling MCMC for process parameter estimation statistical methods for pattern recognition mixed models for forest harvester operation multivariate regression and DOE for process optimization. Modelling Randomness Brownian motion in finance and communications stochastic diff eqns time series analysis inverse problems filtering 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

  10. Student feedback generally positive Were technical problems a significant obstacle? How many lectures did you watch? How many hours did you work? * Overall grade? Would you like to take a similar course again? Would you recommend this course to a friend?

  11. Pedagogical experts’ evaluation Term projects support meaningful learning • contexts are novel & authentic • students are active • collaboration • 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

  12. steering committee meets 4-5 times/year Finnish students to ECMI Modelling Week Study Groups in Tampere ‘02, Helsinki ‘04 graduate school proposal EU project application Cooperation of teachers & practitioners in math modelling

  13. What next? Courses are now integrated into the standard curriculum at 7 universities Textbook project International network alpha.cc.tut.fi/mallinnus/ seppo.pohjolainen@tut.fi robert.piche@tut.fi matti.heilio@lut.fi

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