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The Chinese University of Hong Kong
Complex variables and applications. Cauchy-Riemann, Reflection Principle. Cauchy-Goursat, Cauchy Integration formula, Maximum Modulus Principle, Liouvill's Thm, Taylor and Laurant series, Residues, integration and so on.
20% Midterm 1
20% Midterm 2
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theorems of complex functions
40% mid term
This is course really helpful on studying complex system.
Tutorial credits 10%
Test 1 20%
Test 2 20%
Final Examination 50%
Basic knowledge on complex analysis
50%final 30%midterm 20%quizes
This course gives an introduction to complex functions and their properties on differentiability and integrability. Topics include: complex numbers; limits, continuity and derivatives, Cauchy-Riemann equations, analytic functions; elementary functions; mapping by elementary functions; Contours integrals, Cauchy-Goursat theorem, Cauchy integral formula, Morera’s theorem, maximum moduli of functions, the fundamental theorem of algebra; Taylor series and Laurent’s series; residues and poles, evaluation of infinite real integrals.
20% Quiz 1
20% Quiz 2
50% Final Exam
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