Complex Analysis Zill 3rd Edition !LINK!

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The focus in this course is on the theory and applications of functions and their derivatives. Students learn about the development of major mathematical tools such as integration, Taylor polynomials, the residue theorem, and the Cauchy integral theorem. The course also includes a thorough review of real and complex trigonometric functions, exponentials and logarithms. Students learn about the trigonometric identities and use of Fourier series, and calculus of two variables, particularly polar coordinates. Finally, real and complex numbers are introduced and the field of complex numbers is explored. Students learn about trigonometric identities, exponential and logarithmic functions, and polynomial functions. Most of the course is devoted to complex analysis, which includes the complex derivative, Cauchy’s integral theorem, differentiators and integrals of meromorphic functions, and complex numbers.

COURSES OFFERED

MTH 631: Calculus I: Complex Variables I

MTH 632: Calculus I: Complex Variables II

MTH 633: Calculus II: Functions of Two Variables

MTH 634: Calculus II: Differentiation of Real Functions

MTH 635: Calculus II: Differentiation of Complex Functions

MTH 636: Calculus II: Integration of Complex Functions

MTH 637: Differential Equations I

MTH 638: Differential Equations II

MTH 639: Differential Equations III

MTH 640: Precalculus I: Functions of Two Variables

MTH 641: Precalculus II: Calculus II: Differentiation 827ec27edc