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MIT MIT-OCW

Functions of a Complex Variable

LEVEL: INTRODUCTORY · LICENSE: CC BY-NC-SA 4.0 · STATUS: [ FREE ]
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MIT OpenCourseWare offers this advanced undergraduate course on calculus in one complex variable, taught with a geometric emphasis. It assumes familiarity with topological concepts like compactness and connectedness from an Analysis I prerequisite, and covers topics such as analytic functions, contour integration, power series, and conformal mapping. Materials include biweekly problem sets with full solutions, two term tests, and a final exam, each with solutions provided. There are no video lectures, so the course works as a self-study companion built entirely around written problem sets and exams that let you check your own mastery of the material. Free to access through MIT OpenCourseWare, with no certificate offered.