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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.

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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
national virtual university network
a pilot project of Finnish Virtual University

course methods and contents

IT tools

student and expert comments

conclusions, future directions

National virtual university network
the finnish virtual university
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

good choice as a national pilot project
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
brings together teachers and students across the country
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

course structure
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
project themes are open ended
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?

courses cover a range of topics
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

student feedback generally positive
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?

pedagogical experts evaluation
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

cooperation of teachers practitioners in math modelling
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
what next
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