Fall and Spring
Course is given in three different schedules dependent on
bachelorline.
Scheme A: E1A, E2 og F1A, F2 Scheme B: E3A, E4 og F3A, F4 Scheme C:
E5, E3B og F5, F3B

Location:

Campus Lyngby

Scope and form:

Pr.week: 2 lectures, 5h tutorials. Projectwork in some
weeks.

Decide with teacher, Special day the 7th of dec
2015 for winter and the 17th of maj 2015 for summer. Re-exam for
winther 24th of May 2016.

Type of assessment:

Written examination and
reports
For a precise description of the evaluation of the course:
http://01005.mat.dtu.dk/2010/kursusinformation/eksamensregler/

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.

Learning objectives:

A student who has met the objectives of the course will be able to:

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

Content:

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.

Remarks:

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,
Design and Innovation, Environmental Engineering, Medicine &
Technology and Human Life Science Engineering.
Scheme B for the programs Architectural Engineering, Civil
Engineering, Earth and Space Physics and Engineering, Mechanical
Engineering and Physics and Nanotechnology.
Scheme C for the programs Electrical Engineering, Mathematics and
Technology, Network Technology and IT, Software Technology and
Strategic Analysis and Systems Design.

Green challenge participation:

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 infor
http://www.groendyst.dtu.dk/english