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Detailed information |
Original study plan |
Bachelor's programme Technical Physics 2020W |
Objectives |
Becoming acquainted with mathematical lines of reasoning in special consideration of areas relevant for physics.
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Subject |
I: Differentiation and integration in one dimension; convergence of series; Taylor expansion.
II: Mathematical basics, matrices and systems of linear equations, vector spaces, eigenvalues and eigenvectors, bilinear forms, polynomial algebra.
III: Partial differentiation and vector analysis; curvilinear coordinates: line integral; multidimensional integration (Theorems of Gauß, Stokes and Green); Taylor expansion in higher dimensions (in particular vector fields); ordinary differential equations
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