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as of 9/19/2019

COMPLEX ANALYSIS
Country - Partner Institution - Programs: Australia - University of Melbourne - 'Australian Universities'
UC Course SubjectMathematics
Number & Suffix: 130
Full UC Title: COMPLEX ANALYSIS 
Transcript Title: COMPLEX ANALYSIS 
UC QTR Units - Division: 6.0 - Upper Division 
Course Description: This course explores why complex analysis is a core subject in pure and applied mathematics, as well as the physical and engineering sciences. While it is true that physical phenomena are given in terms of real numbers and real variables, it is often too difficult and sometimes not possible, to solve the algebraic and differential equations used to model these phenomena without introducing complex numbers and complex variables and applying the powerful techniques of complex analysis. Topics include the topology of the complex plane; convergence of complex sequences and series; analytic functions, the Cauchy-Riemann equations, harmonic functions, and applications; contour integrals and the Cauchy Integral Theorem; singularities, Laurent series, the Residue Theorem, evaluation of integrals using contour integration, and conformal mapping; and aspects of the gamma function. 
Language of Instruction: English
 
Partner Title: COMPLEX ANALYSIS 
Partner University Department: Mathematics and Statistics 
Partner University Course Number: MAST30021