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 University## About this Course

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Try Coursera for Business## Skills you will gain

- Conformal Mapping
- Laurent Series
- Power Series
- Complex Analysis
- Complex Numbers

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Try Coursera for Business## Offered by

## Syllabus - What you will learn from this course

**4 hours to complete**

### Introduction to Complex Numbers

**4 hours to complete**

**3 hours to complete**

### Complex Functions and Iteration

**3 hours to complete**

**5 hours to complete**

### Analytic Functions

**5 hours to complete**

**3 hours to complete**

### Conformal Mappings

**3 hours to complete**

## Reviews

- 5 stars85.60%
- 4 stars12.90%
- 3 stars1.09%
- 1 star0.39%

### TOP REVIEWS FROM INTRODUCTION TO COMPLEX ANALYSIS

Very thorough course. From basic to advanced concepts, Petra does an amazing job of conveying you through all the concepts in a perfectly clear and robust manner.

Excellent lectures. Great insights into how complex integration works. Tests and assignments are fair. Extra practice problems would be nice to help understanding.

Wow, great introductory course on complex analysis, was hoping for a bit more analysis and a bit more actual proofs, but it's Coursera, can't expect a full-on course here.

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.

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