The pedagogy of the course is "problem-based
learning".There will be introductory and summing up lectures
and students will work in small groups with projects, problem
solving, computer simulations and case studies.
Kursets varighed:
[Kurset følger ikke DTUs normale
skemastruktur]
Evalueringsform:
Eksamens varighed:
Hjælpemidler:
Bedømmelsesform:
Tidligere kursus:
M-MAT2-U1
Anbefalede forudsætninger:
Overordnede kursusmål:
To provide the students with basic knowledge in fundamental
mathematical tools to solve engineering problems and to construct
and analyze mathematical models, as well as to provide a foundation
for further studies in modern engineering mathematics. The use of
computer software and graphing calculators supports both of these
aspects.
Læringsmål:
En studerende, der fuldt ud har opfyldt kursets mål, vil kunne:
Apply linear algebra to solve engineering problems.
Use matrices and determinants to solve systems of linear
equations.
Determine partial derivatives, extreme values and
gradients.
Use Lagrange multipliers to solve optimization problems.
Calculate double and triple integrals.
Calculate line and surface integrals.
Use Green’s theorem and Stokes’ theorem in vector fields.
Use vector analysis to model and solve practical engineering
problems.
Use computer software and graphing calculators for the solution
and the graphical illustration of mathematical problems.
Learn new topics in engineering mathematics through guided
assignments.
Kursusindhold:
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.
Litteraturhenvisninger:
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.
Bemærkninger:
This course is an integrated part of the study program in
Mechanical Engineering. It is, however, a general methodological
course aimed at all engineering students, regardless of
specialization.
