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Course Discription |
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Series, Complex numbers: the complex plane, complex algebra, complex series, complex functions, applications in quantum mechanics. Vector analysis: triple products, application in mechanics (work, torque). Directional derivatives, gradient, line integrals, the divergence theorem. Stoke’s theorem, Gauss law in static electricity. Determinants and matrices. Coordinate transformation: linear transformation, orthogonal transformation, eigenvalues and eigenvectors, diagonalisation of matrices. Fourier series: periodic functions, sinusoidal functions, applications on Euler and Lagrange equations. |