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| Detailed information |
| Original study plan |
Bachelor's programme Technical Physics 2016W |
| Objectives |
Introduction to basic concepts and methods in mathematical analysis with focus on areas particularly relevant to physics.
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| Subject |
Subject of Part I and Part II:
Differentiation and integration of functions of one real variable, ordinary differential equations; differentiation of multivariate functions (partial derivative, Fréchet derivative) and multiple integrals, Taylor's theorem, minima and maxima of functions;
gradient, divergence, curl, and the theorems of Green, Stokes, and Gauss, coordinate transformations; differentiation and integration of complex functions, Cauchy integral theorem and formula, residual theorem; convergence and limit of sequences and series of numbers, vectors, and functions; power series, Fourier series, Fourier and Laplace transforms and applications to differential equations.
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| Criteria for evaluation |
(*)(1) Anzahl der erfolgreich bearbeiteten Übungsbeispiele und (2) Qualität der Präsentation / Beteiligung in den Übungsstunden.
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| Methods |
(*)Selbstständiges Lösen der Übungsbeispiele (alleine oder in kleinen Gruppen) sowie Präsentation der Lösungen in den Übungsstunden.
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| Language |
German |
| Study material |
(*)wird in der Vorlesung und/oder Übung bekanntgegeben.
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| Changing subject? |
No |
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