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Back to Introduction to Complex Analysis

stars

1,005 ratings

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....

RK

Apr 5, 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!

RK

Aug 9, 2022

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.

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By Nutan N

•Sep 28, 2016

Gets from easier basics to harder ideas very fast. We gotta work very hard. But well worth it.

By Sahana M

•Apr 16, 2018

Very easy to understand, and extremely engaging. The exercises are challenging and fun to do.

By Maurice M

•Sep 10, 2018

The instructor broke down the course material really really well. Enjoyed taking this class!

By Cristóvão Z R

•Aug 8, 2016

Very good course. The professor introduces evey element in a careful and insightful approach

By Srijan A

•Mar 1, 2017

This is an amazing course.Cant thank you enough Dr. Petra , and also thank you coursera :)

By David R

•Aug 11, 2016

The proposed material is very good. The classes are very didactic and with good examples!

By Napoleon C

•Jun 9, 2019

I loved this course! I wish there is following one with more advanced (research) topics!

By Swapnil B 1

•May 29, 2020

Very challenging and interesting course! The instructor really simplified the concepts.

By Neo J C

•Jan 12, 2020

Really interesting and fun course! But not very easy to learn, it took me alot of time

By Notae K

•May 14, 2019

Good and very helpful for letting me do my best. I knew lots of the complex analysis.

By Herman Z

•Aug 13, 2016

If you could create a course Topology as good as this one it would be heavenly.

Thanks

By Sydney D L

•Mar 30, 2019

Very good professor, explain things in details and make me understand many concepts.

By Keedong P

•Aug 22, 2018

This lecture is easy to follow having all the important tools for complex analysis.

By Neeti S

•Jan 3, 2019

Thanks, Very much enjoyed this course, and learned a great deal from it. Thanks!

By Francesco P

•Apr 18, 2020

Great course, I really enjoyed it. Thanks for making it available to everybody.

By Sumantu C

•May 17, 2017

THIS COURSE IS VERY INTERESTING TO LEARN AND CAN BE WELL VISUALIZED PRACTICALLY

By Tim B

•Oct 31, 2017

Very well done presentations and clear explanations. Ideal for undergraduates.

By Tran D

•Dec 14, 2016

It'd be awesome if the content is more rigorous, but this works too! Thanks :D

By EDOUARD L

•Dec 11, 2016

Great course very clear and explaining well the motivations behind the results

By RAJATH G K

•Jan 16, 2021

The Course was highly informative. Its a very useful course for my academics.

By niki l

•Jun 26, 2020

It helps me to review my comprehensive exam for Complex, a really good class.

By Marcin W

•Sep 2, 2016

Very interesting course, lectures. One of the best courser I have taken here.

By Miguel F

•Jan 20, 2020

Awesome course! It is very helpful and all the concepts are well explained.

By Jose A P R

•Jun 20, 2016

this course is fantastic, is a good option for learn about complex analysis.

By DANIEL E M D

•Sep 29, 2020

The course is very useful helps to streamline certain concepts of algebra.

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