ocw.mit.edu
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MIT OpenCourseWare (OCW) provides free, openly accessible course materials from MIT across disciplines, including mathematics. You can find lecture notes, problem sets, assignments, exams, and sometimes video lectures for math courses that cover topics like Cauchy’s Theorem.
More resources on Cauchy’s Theorem
Paul's Online Math Notes - Complex Analysis
Free notes covering Cauchy's theorem
Complex Analysis
Learn Cauchy's Theorem & Complex Analysis with Gunnar Carlsson's course! Master complex functions & integration.
Complex Variables with Applications
Learn Cauchy's Theorem and complex variables with applications in this course by Michael Williams. Explore MIT OCW materials today!
mathworld.wolfram.com
MathWorld is Wolfram's comprehensive online mathematics encyclopedia offering detailed articles, definitions, theorems, and worked examples across topics, including Cauchy’s theorem.
Introduction to Complex Analysis
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 territories at the edge of what is known today. Each module consists of five video lectures with embedded quizzes, followed by an electronically graded homework assignment. Additionally, modules 1, 3, and 5 also contain a peer assessment. The homework assignments will require time to think through and practice the concepts discussed in the lectures. In fact, a significant amount of your learning will happen while completing the homework assignments. These assignments are not meant to be completed quickly; rather you'll need paper and pen with you to work through the questions. In total, we expect that the course will take 6-12 hours of work per module, depending on your background.
nptel.ac.in
nptel.ac.in is the online learning platform of IITs/IISc offering MOOCs in engineering and sciences, including mathematics topics like complex analysis. It provides video lectures, lecture notes, assignments, and quizzes for self-paced study (with certificates).