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PHY 360 — MATHEMATICS FOR PHYSICS VI

BSc BSc Meteorology and Climate Science · Kwame Nkrumah University of Science and Technology

Definition and historical background. Basic algebra and geometry of complex numbers. Definition. Transcendental functions; Euler’s formula and its applications. Complex conjugation of FCV. De Moivre’s theorem and calculation of roots. Trigonometric, hyperbolic and logarithmetric functions. Differentiability and analyticity of FCV. The Cauchy-Riemann relations. Integration of FCV. Cauchy’s integral theorem and integral formulae. Power series expansions for analytic functions: Taylor and Laurent expansions. Zeroes and isolated singularities of FCV. Cauchy’s residue theorem and its application to the evaluation of integrals: contour integration. Improper integrals. Conformal mapping by analytical functions.

Credits
3
Level
Level 300

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Course details from Courses for BSc. Meteorology and Climate Science - Physics.