MATH 4180

Complex Analysis

Cornell University · UGRD · Fall 2026

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A theoretical and rigorous introduction to complex variable theory recommended for students who plan to attend graduate school in mathematics. Topics include complex numbers, differential and integral calculus for functions of a complex variable, including Cauchy's theorem and the calculus of residues, elements of conformal mapping. Students will be expected to be comfortable writing proofs. For applications of complex analysis, consider MATH 4220 rather than MATH 4180 .

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Class #cornell_2-MATH4180Fall 2026UGRD4 credits
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