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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 Engineering, Environmental Engineering, Medicine & Technology and Technical Biomedicin.
Scheme B for the programs Civil- and Construction Engineering, Mechanical Engineering, Nano-Physics and GeoPhysics.
Scheme C for the programs Electrical Engineering and Informatics.

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/Conference/Practical-info/Start-up

Responsible:

Karsten Schmidt , Building 324, room 181, Ph. (+45) 4525 5856 , ksch@dtu.dk
Michael Pedersen , Building 303, room 103, 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: 12. februar, 2014