Welcome by the Department of Mathematics

1. Tampere University of
Technology (TUT)
Seppo Pohjolainen

2. Tampere, Finland
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3. Tampere
• The third largest city in Finland with over 200,000
inhabitants. One of Finland’s fastest growing urban
centres and, according to a survey, the most popular
city to live and study in.
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• Two universities:
Tampere University of
Technology and the
University of Tampere
with over 25,000
students.

4. • Promotional video
• Established in 1965
• Started operating in the form of a foundation in 2010
• 10,400 students (2012)
• Collaborates with 200 universities around the world
• Quality assurance system audited by The Finnish Higher
Education Evaluation Council in 2007
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5. TUT in numbers in 2012
Degrees
BSc 712
MSc (Tech/Arch) 698
Licentiate and Doctor 99
Students in total 10,389
Undergraduate 8,789
Postgraduate 1,600
Total funding, EUR million 155
Budget funding 82
Supplementary funding 73
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6. Undergraduate students of
technology in Finland in 2012
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Ministry of Education: Vipunen-database
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7. International university
• Almost 350 foreign
nationals among
employees
• Close to 1,400
exchange and visiting
students
• Collaboration with 200
universities around
the world
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8. Faculty of natural sciences
at TUT
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kök

9. Engineering BSc
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10. Engineering MSc
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11. Faculty of natural sciences
at TUT
• Departments: Mathematics, Physics, Chemistry
• Service teaching (mathematics, physics,
chemistry)
• BSc and MSc -studies
• Teacher training: Matematics, Physics,
Chemistry, Information technology
• Yearly intake 50 students
• Degree program is one of the best at TUT
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12. Department of Mathematics
Teaching
• Engineering mathematics (27 cu.) for all students
(700/year)
• Bachelor’s level
– Major and minor in mathematics (Finnish)
• Master’s level
– Major and minor in mathematics (English/Finnish)
– Teacher training
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13. Engineering Mathematics 27
cu
• First year (4 periods)
– Engineering mathematics 1 5 cu (sets, functions,
continuity, differentiation, complex numbers)
– Engineering mathematics 2 5 cu (linear algebra)
– Engineering mathematics 3 5 cu (integrals and series)
– Engineering mathematics 4 4 cu (functions of several
variables))
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14. Engineering Mathematics 27
cu
• Second or third year. Study programs recommend two of
the following courses:
– Algorithm matematics 4 cu
– Discrete matematics 4 cu
– Operational research 4 cu
– Probability theory 4 cu
– Statistics 4 cu
– Vector analysis 4 cu
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15. BSc Major/minor 25 cu
– Matrix algebra 5 cu
– Complex analysis 5 cu
– Differential equations 5 cu
– Algebra 5 cu
– at least one selective course 5 cu
– BSc thesis (major) 8 cu
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16. MsC Major in mathematics
• Analysis with applications
• Discrete mathematics with applications
• Mathematical and semantical modelling
• Teacher's major
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17. MsC Major in mathematics
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18. Teacher training
• Double degree: engineering degree with
teacher’s licence:
• Mathematics 120 cu
• Physics 60 cu
• Pedagogical studies 60 cu
• Other 60 cu
• Total 300 cu
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19. Teacher training in mathematics
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20. Careers in mathematics
• Researcher (academia)
• Research Engineer (industry)
• Teacher (school)
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21. Quality Assurance
• University level: Council for education
• Faculty: Council
• Department:
– Teacher’s meetings
– data collection
– Student feedback
– yearly modifications
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22. Student feedback
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23. Technology enhanced
learning
• Support for first year students
– Basic skill’s test
– Remedial instruction
• Mathematical modelling network
• Learning analytics
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24. Support for 1st year
students
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Basic skill’s test
Remedial instruction
Mathematic’ clinics
Students work on remedial
instruction (MathBridge)
Student’s progress and work
during remedial instruction in
time

25. Mathematical modelling
network
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Seven universities in
Finland
•Video lectures&
videconferencing
•Students’ collaboration and
project work over the internet

26. Learning Analytics
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• Group/learner activity/grading

27. SEFI
Mathematics Curricula in
Engineering Education
http://sefi.htw-aalen.de/Curriculum/Competency
%20based%20curriculum%20incl%20ads.pdf
Seppo Pohjolainen

28. Engineering Mathematical
Competence (KOM, SEFI)
”the ability to understand, judge, do, and use
mathematics in a variety of intra- and extra-
mathematical contexts and situations in which
mathematics plays or could play a role”
”A Framework fo Mathematics Curricula in Engineering Education”,
SEFI 2013.
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29. General Mathematical
Competencies for Engineers
– Competencies
• thinking mathematically
• reasoning mathematically
• posing and solving mathematical problems
• modelling mathematically
• representing mathematical entities
• handling mathematical symbols and formalism
• communicating in with and about mathematics
• making use of aids and tools
– Dimensions (of extent)
– Clusters (reproduction, connections, reflection)
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30. Contents
• Content related competencies
– Core Level 0
– Core Level 1
– Corel level 2
– Core level 3
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31. Teaching and learning
environments
• Teaching and learning arrangements
• Transition to university from secondary eduction
• Mathematics technology
• Integrating mathematics curriculum into the engineering study
course
• Attitudes
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32. Assesment
• Forms of assesment
• Requirements for passing
• Assessing competencies
• Technology supported assesment
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33. Anything else
• Mathebridge competence
• MathGear& MetaMath competences (Tuomas’s excel)
• Other criteria, please specify
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34. Quality Assurance
• Forms of assesment
• Requirements for passing
• Assessing competencies
• Technology supported assesment
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35. Friday groupwork
• Presentation of the courses
• Course comparison criteria
• Comparison of the courses against the criteria (filling in
Excel sheets)
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36. TUT team
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• Welcome to Tampere
• Thanks !