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| Detailed information |
| Original study plan |
Bachelor's programme Technical Physics 2012W |
| 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 |
to be announced by the instructor.
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| Language |
German |
| Study material |
to be announced by the instructor.
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| Changing subject? |
No |
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