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Offered by Wesleyan University. This course provides an introduction to complex analysis which is the theory of complex functions of a complex variable. We will start by introducing the complex plane, along with the algebra and geometry of complex numbers, and then we will make our way via differentiation, integration, complex dynamics, power series representation and Laurent series into.
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Complex numbers consist of both real and imaginary sections. Complex analysis combines complex functions, which deal with hard modules such as quadratic polynomials. The analysis also deals with lesser-known functions such as Mandelbrot set, topology, and geometry. Complex analysis requires guidance and in-depth knowledge in all fundamentals.
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Week: Reading: Homework: Solutions: 13: Nov 30 - Dec 2 Moduli Spaces and Modular Forms Serre, Ch. VII; Ahlfors, Ch. 7; Course Notes 5. HW: SOLN: 12: Nov 23.
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Course Overview: The goal of this course is to introduce students to the world of complex analysis. On the face of it, complex analysis is just differentiating and integrating with respect to a complex variable rather than a real variable.
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Complex Analysis by E. Stein and R. Shakarchi Other good books are: Ahlfors's Complex Analysis, and Conway's Functions of one complex variable. Grading Your grade will be based on several homework assignments (30%), one Midterm (30%) and a Final exam (40%). The exams will most likely be in class. Office Hours I'll be available from 2-4:00 on Monday afternoons. You can also email me and.
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