1. Department of Eelectronic Systems
Mathematics and Engineering Education - reflections from an electrical engineer
Lars Lundheim
Department of Eelectronic Systems
NTNU

2. Engineering = Applied Physics?

3. Applied Chemsitry

4. Physicist
Engineer
Mathematician
Physicist
Engineer
Mathematician

5. Physical reality
Idea

7. Models
Natural Sciences: Descripitve
Engineering: Prescriptive

8. Steinauge

11. Prescriptive model

12. Silicon in nature

13. As prescribed Si

14. Transistor

15. Prescribed (what we want)
What we get

16. Circuit design

17. Circuit design

18. Practical restrictions
Generalization
Practical restrictions

19. Digital electronics

20. transistors

21. Computers as components

22. Digital signal processing
Virtually no restrictions

23. Challenges and opportunities
The set of realizable prescriptive models has increased and is still increasing. ⇒ More math becomes relevant
The complexity of realized systems has increased and is still increasing. ⇒ More math becomes necessary.
Technology moving away from physics (nature) ⇒ Still Common math curriculum for physics and engineering?

24. Shift of emphasis? Basic calculus Ordinary differential equations
Partial differential equations
Transforms
Linear algebra
Functional analysis
Numerical mathematics
Optimization theory
Statistics and probability theory

25. Diversity of need
Differentiation of syllabus according to study program?
Differentiation of approach/learning style

26. When to learn what Four courses during three first semesters?
Coordination with user courses?

27. Division of labour
How do we best collaborate to give relevant and motivating education?