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.
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Introduction to Complex Analysis
Wesleyan UniversityAbout this Course
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Try Coursera for BusinessSkills you will gain
- Conformal Mapping
- Laurent Series
- Power Series
- Complex Analysis
- Complex Numbers
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Syllabus - What you will learn from this course
Introduction to Complex Numbers
Complex Functions and Iteration
Analytic Functions
Conformal Mappings
Reviews
- 5 stars85.60%
- 4 stars12.90%
- 3 stars1.09%
- 1 star0.39%
TOP REVIEWS FROM INTRODUCTION TO COMPLEX ANALYSIS
A well taught course that merges well into undergraduate mathematics, and provided useful experience of higher level maths for a student deciding which degree to do.
Very useful course that can be followed regardless of your mathematical background - whether you have even heard of imaginary numbers or only have done pre-calculus work. A gem of a course.
Some of the latter lessons should have been put up front so as to better present the intuitions of what you're proofing, but overall found it to be a good course.
Outstanding class -- very accessible introduction for a non-math major, but covered all the topics I felt I missed in my undergraduate complex analysis class.
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