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Mathematics and Engineering Education - reflections from an electrical engineer. Lars Lundheim Department of Eelectronic Systems NTNU. Engineering = Applied Physics?. Applied Chemsitry. Mathematician. Mathematician. Engineer. Engineer. Physicist. Physicist. Physical reality. Idea.
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Mathematics and Engineering Education- reflections from an electrical engineer Lars Lundheim Department of Eelectronic Systems NTNU
Mathematician Mathematician Engineer Engineer Physicist Physicist
Physical reality Idea
Models • Natural Sciences: Descripitve • Engineering: Prescriptive
Prescribed (what we want) What we get
Generalization Practical restrictions
Digital signal processing Virtually no restrictions
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?
Shift of emphasis? • Basic calculus • Ordinary differential equations • Partial differential equations • Transforms • Linear algebra • Functional analysis • Numerical mathematics • Optimization theory • Statistics and probability theory
Diversity of need • Differentiation of syllabus according to study program? • Differentiation of approach/learning style
When to learn what • Four courses during three first semesters? • Coordination with user courses?
Division of labour • How do we best collaborate to give relevant and motivating education?