Prerequisites: (MATH 264 or MATH 266) and MATH 351.
An introduction to the algebra and geometry of complex numbers, topology of the complex plane, and the theory of functions of a complex variable, including: analytic functions, contour integrals, the Cauchy integral formula, harmonic functions, Laurent series, residues and poles, the Fundamental Theorem of Algebra, and other selected topics.
Outcomes: Students will obtain an understanding of the fundamentals of complex analysis that will prepare them for advanced work in mathematics.
An introduction to the algebra and geometry of complex numbers, topology of the complex plane, and the theory of functions of a complex variable, including: analytic functions, contour integrals, the Cauchy integral formula, harmonic functions, Laurent series, residues and poles, the Fundamental Theorem of Algebra, and other selected topics.
Outcomes: Students will obtain an understanding of the fundamentals of complex analysis that will prepare them for advanced work in mathematics.