The course content is the mathematical basis for a broad range of technical fields and also provides a starting point for further studies in mathematics and applied mathematics. The dominating theme of the course is linearity. The goal is to give students the ability to employ fundamental tools of mathematics in theoretical studies as well as in applied projects. The use of modern computer software supports both of these aspects.

• See the Danish version
• See the Danish version
• See the Danish version
• See the Danish version
• See the Danish version
• See the Danish version
• See the Danish version
• See the Danish version
• See the Danish version
• See the Danish version
• See the Danish version
• See the Danish version

Linear equations and linear maps. Matrix algebra. Vektor spaces. Eigenvalue problems. Symmetric and orthogonal matrices. Complex numbers. Linear differential equations. Standard functions.
Functions of one and several real variables: linear approximations and partial derivatives, Taylor expansions and quadratic forms, extrema and level curves, line, surface and volume integrals. Vector fields, Gauss' and Stokes' theorem.
Applications of MAPLE in the above areas. Examples of applications in the engineering sciences.

The course is a two-semester course for students following one of the preliminary four-semester programs:
Scheme A for the programs Chemical Engineering, Biotechnology Engineering, Environmental Engineering, and Medicine & Technology.
Scheme B for the programs Civil- and Construction Engineering, Mechanical Engineering, Energy, and Applied Physics.
Scheme C for the programs Electrical Engineering and Informatics.

Please contact the teacher for information on whether this course gives the student the opportunity to prepare a project that may participate in DTU´s Study Conference on sustainability, climate technology, and the environment (GRØN DYST). More information http://www.groendyst.dtu.dk/kursustilmelding.aspx