| 01005 Advanced Engineering Mathematics 1 (Package version) |
| Danish title: Matematik 1 (fagpakkeversion) |
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Language: Danish ECTS-creditpoints: 17,5, External examination.
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Class schedule:
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Course is given in three different schedules dependent on package version.
Scheme A: E1A, E2 og F1A, F2
Scheme B: E3A, E4 og F3A, F4
Scheme C: E5, E3B og F5, F3B |
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Exam schedule:
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Winther examen 2-hours written exercíses (14.12.01).
Summer examen 4-hours written exercises (1.6.02) |
| Recommended semester: 1st - 4th semester |
| Scope and form: Pr.week: 2 lectures, 3h 30m tutorials. |
| Evaluation: Written exam and approval of coursework
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| Examination: 13-scale |
| No credit points with: 01000 / 01001 / 01002 / 01003 / 01010 / 01011 / 01012 / 01013 / 01014 / 01020 / 01021 |
| Aim: To form a basis for physical and technical applications,as well as for possible further study in pure and applied mathematics. |
Contents: Systems of linear equations. Matrix algebra. Determinants. Vector spaces.
Linear maps. The eigenvalue problem, and diagonalization of matricies.
Complex numbers, roots of polynomials, the complex exponential function.
First order linear differential equations. Elementary functions.
Second order linear differential equations with constant coefficients.
Continuity and differentiability of functions of one and several
real variables. Partial derivatives. Gradients. Taylor expansions
of functions of one and several real variables. Limits.
Inner product spaces. Symmetric matrices. Orthogonal matrices.
Quadratic forms. Conic sections. Tangents and tangent planes.
Level curves and level surfaces. The Jacobi matrix.
Extremum. Line integrals, surface integrals, volume integrals. The flux
of a vector field, circulation, divergence and curl. Gauss' theorem.
Stokes' theorem. Applications of MAPLE in the above areas. Examples of applications in
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, and Environmental Engineering.
Scheme B for the programs Civil- and Construction Engineering, Mechanical Engineering, Energy, and Applied Physics.
Scheme C for the programs Electrical Engineering and Informatics. |
| Contact: Steen Markvorsen, building 303, (+45) 4525 3049, s.markvorsen@mat.dtu.dk |
| Department: 001 Department of Mathematics |
| Course URL: http://www.mat.dtu.dk/courses/01005 |
| Updated: 16-08-2001 |
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