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01005 Advanced Engineering Mathematics 1

Danish title:

Matematik 1

Language:

Point( ECTS )

17,5

Course type:

BSc
Taught under open university

Schedule:

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.

Duration of Course:

13 weeks + 13 weeks

Date of examination:

Special day, Special day

Type of assessment:

Exam duration:

Aid:

Evaluation:

Not applicable together with:

General course objectives:

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:
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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

Responsible:

Karsten Schmidt , Building 321, Ph. (+45) 4525 5856 , ksch@dtu.dk
Michael Pedersen , Building 303, Ph. (+45) 4525 3012 , micp@dtu.dk

Department:

01 Department of Applied Mathematics and Computer Science

Home page:

http://01005.mat.dtu.dk/

Registration Sign up:

At CampusNet
Last updated: 17. september, 2014