About this Course
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Intermediate Level

Approx. 35 hours to complete

Suggested: 8 weeks of study, 6-12 hours/week...

English

Subtitles: English

Skills you will gain

Power SeriesComplex AnalysisMappingOptimizing Compiler

100% online

Start instantly and learn at your own schedule.

Flexible deadlines

Reset deadlines in accordance to your schedule.

Intermediate Level

Approx. 35 hours to complete

Suggested: 8 weeks of study, 6-12 hours/week...

English

Subtitles: English

Syllabus - What you will learn from this course

Week
1
5 hours to complete

Introduction to Complex Numbers

5 videos (Total 119 min), 5 readings, 2 quizzes
5 videos
Algebra and Geometry in the Complex Plane30m
Polar Representation of Complex Numbers32m
Roots of Complex Numbers14m
Topology in the Plane21m
5 readings
Lecture Slides10m
Lecture Slides10m
Lecture Slides10m
Lecture Slides10m
Lecture Slides10m
1 practice exercise
Module 1 Homework10m
Week
2
3 hours to complete

Complex Functions and Iteration

5 videos (Total 123 min), 5 readings, 1 quiz
5 videos
Sequences and Limits of Complex Numbers30m
Iteration of Quadratic Polynomials, Julia Sets25m
How to Find Julia Sets20m
The Mandelbrot Set18m
5 readings
Lecture Slides10m
Lecture Slides10m
Lecture Slides10m
Lecture Slides10m
Lecture Slides10m
1 practice exercise
Module 2 Homework10m
Week
3
5 hours to complete

Analytic Functions

5 videos (Total 135 min), 5 readings, 2 quizzes
5 videos
The Cauchy-Riemann Equations29m
The Complex Exponential Function24m
Complex Trigonometric Functions21m
First Properties of Analytic Functions25m
5 readings
Lecture Slides10m
Lecture Slides10m
Lecture Slides10m
Lecture Slides10m
Lecture Slides10m
1 practice exercise
Module 3 Homework10m
Week
4
3 hours to complete

Conformal Mappings

5 videos (Total 113 min), 5 readings, 1 quiz
5 videos
Conformal Mappings26m
Möbius transformations, Part 127m
Möbius Transformations, Part 217m
The Riemann Mapping Theorem15m
5 readings
Lecture Slides10m
Lecture Slides10m
Lecture Slides10m
Lecture Slides10m
Lecture Slides10m
1 practice exercise
Module 4 Homework10m
4.8
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started a new career after completing these courses

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got a tangible career benefit from this course

Top reviews from Introduction to Complex Analysis

By RKApr 6th 2018

The lectures were very easy to follow and the exercises fitted these lectures well. This course was not always very rigorous, but a great introduction to complex analysis nevertheless. Thank you!

By GCMar 21st 2017

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.

Instructor

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Dr. Petra Bonfert-Taylor

Former Professor of Mathematics at Wesleyan University / Professor of Engineering at Thayer School of Engineering at Dartmouth

About Wesleyan University

At Wesleyan, distinguished scholar-teachers work closely with students, taking advantage of fluidity among disciplines to explore the world with a variety of tools. The university seeks to build a diverse, energetic community of students, faculty, and staff who think critically and creatively and who value independence of mind and generosity of spirit. ...

Frequently Asked Questions

  • Once you enroll for a Certificate, you’ll have access to all videos, quizzes, and programming assignments (if applicable). Peer review assignments can only be submitted and reviewed once your session has begun. If you choose to explore the course without purchasing, you may not be able to access certain assignments.

  • When you purchase a Certificate you get access to all course materials, including graded assignments. Upon completing the course, your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile. If you only want to read and view the course content, you can audit the course for free.

More questions? Visit the Learner Help Center.