Complex Variables with Applications
Jared Speck
Learn to apply the residue theorem with this MIT course, "Complex Variables with Applications," by Jared Speck.
More resources on Residue Theorem
Residue Theorem - Wikipedia
Comprehensive overview and references
Paul's Online Math Notes - Residue Theorem
Detailed notes and examples
Complex Analysis
Learn the residue theorem and complex integration techniques with Dr. Bazett's Complex Analysis course!
mathworld.wolfram.com
MathWorld is a comprehensive online mathematics encyclopedia by Wolfram with in-depth articles on topics across math. Each entry includes definitions, theorems, proofs, examples, and diagrams, covering areas like complex analysis (e.g., the Residue Theorem) and related concepts.
ocw.mit.edu
MIT OpenCourseWare is a free online repository of MIT course materials across disciplines. It offers math courses (including Complex Analysis) with lecture notes, readings, problem sets, and exams—great for learning topics like the Residue 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.