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MAM075 Mathematics 6.0 ECTS credits | |
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TIMEPERIOD: LANGUAGE:Swedish EXAMINER Lars Bergström Fo ing PREREQUISITES COURSE AIM To give skill in the use of some mathematical methods for treatment of problems in different areas, i.e., fluid motion, diffusion, heat transport. CONTENTS Laplacetransforms: Definition of the Laplace Transform, Properties of the Laplace Transform, Inverse Laplace Transform, Solving Initial Value Problems, Impulses and the Dirac Delta function, Transferfunction and Convolution. Vectoranalysis: Gradient, Divergens and Curl of a Vector Field, Line- and Surface Integrals. Greens Theorem, Gauss (Divergence) Theorem, Potential Theory, Modeling of heat flow. Fourierseries: Definition and properties of Fourierseries. Orthogonal Systems, Approximation by Trigonometric polynomials, Bessels inequality. Partial Differential Equations: Mathematical models for diffusion, wave-propagation and heattransport, separation of variables. Numerical Methods: Solution of ordinary- and partial differential equations with finite difference methods. TEACHING EXAMINATION Written exam. COURSE GRADE SCALE: A-F ITEMS/CREDITS | |
| Laboratory work | 0.75ECTS |
| Written exam | 5.25ECTS |
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COURSE LITTERATURE Kreyszig E: Advanced Engineering Mathematics, Wiley, seventh edition, 1993. Råde, Westergren: Beta, Mathematics Handbook, Studentlitteratur. REMARKS |
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