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Mathematics and Modeling II (Fall 2011)

Course code : ME-MAM2-U1
ECTS Credits : 10 Status : Compulsory
Placement : 2. semester Hours per week : 8
Length : 1 semester Teaching Language : English

Principal Content : Introduction to linear algebra: Matrices, determinants, systems of linear equations, eigenvalues and eigenvectors. Functions of several variables: Partial derivatives and multiple integrals, extreme values, Lagrange multipliers. Vector analysis: Line integrals, conservative fields, Green’s theorem, surface integrals, Stokes’ theorem. Examples of applications in the engineering sciences.
Teaching method : The pedagogy of the course is “problem-based learning”. Approximately half of the time allocated to the course will be used in guided project work in groups. The course projects will give the students an opportunity to apply basic concepts learned in the class to real-life problems, and to learn new concepts in mathematics that are not covered in the lectures.
There will be introductory and summing up lectures and students will work in small groups with projects, problem solving, computer simulations and case studies.
Required prequisites : ME-MAM1 or equivalent.
Responsible teacher : Imad Abou-Hayt , iabo@dtu.dk