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 stars85.77%
- 4 stars12.81%
- 3 stars1.10%
- 1 star0.30%

### TOP REVIEWS FROM INTRODUCTION TO COMPLEX ANALYSIS

I have never taken a mathematics course which I want to learn a few more times. Thanks, Dr. Petra Bonfert-Taylor, you made this course cool with so much fun!

The prof makes it easy to understand yet fascinating. I enjoyed video checkpoints, quizzes and peer reviewed assignments. This course encourages you to think and discover new things.

Love this course! Was VERY challenging, but I learned a tremendous amount. I would recommend this to anyone wanting to further their knowledge in this area of mathematics.

With this wonderful complex analysis course under your belt you will be ready for the joys of Digital Signal Processing, solving Partial Differential Equations and Quantum Mechanics.

## Frequently Asked Questions

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