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| Type: | Ph.D.-level, Open University Language: English
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| Previous course: C0254 og C0261 | 
| No credit points with: C0254/C0261 | 
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| Prerequisite: C0201/04110/C0205/04010/C6908 | 
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| Recommended semester: 4th -7th semester | 
| Scope and form: Lectures and project work. | 
| Examination: Evaluation of report(s) (13-scale) | 
| Participant limitation:  max. 50 
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| Remarks: Lectures are given in Danish.  Textbook and exercises are in English.  For students not understanding Danish the lectures are replaced by independent reading and group consultations. | 
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| URL: http://www.imm.dtu.dk/courses/04212 | 
| Department: Informatics and Mathematical Modelling | 
| Aim: To enable the student to use a computer to find optimal values of the parameters in a mathematical model of a physical or technical problem. The model is e.g. a continuous curve that approximates a given set of data points. The students will see how available library routines work and learn how to construct their own programs. | 
| Contents: Approximation with polynomials and cubic splines.  Methods for finding minimum points of a smooth function (e.g., steepest descent and quasi-Newton methods). Special methods for least-squares approximation (e.g., Marquardt's algorithm) and minimax approximation. |