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MATH323 (PC)
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Complex Analysis |
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16 |
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This module discusses basic theories and techniques from Complex Analysis, including methods of solving classical problems relevant to Applied Sciences. |
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Complex Plane and Riemann Sphere; elementary complex functions; complex differentiation; Cauchy-Riemann equations; contour integral and Cauchy Theorem for analytic functions; Cauchy Integral Formula; harmonic functions; Taylor's Theorem; Laurent Series; isolated singularities and residues; conformal mappings; linear fractional transformation; either Riemann surfaces of elementary functions or application to Laplace equations. |
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Class tests and/or assignments (33%), 3 h exam (67%). |
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30% Class mark, 80% attendance at lectures & tutorials. |
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in Semester 2 or 1. |