Retour à Introduction to Complex Analysis

4.8

610 notes

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193 avis

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....

Apr 06, 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!

Mar 21, 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.

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par ashok n

•Jan 16, 2017

very nice explanations .....thanq somuch

par Doug K

•Jun 08, 2017

I had seen some of this material before, but I think it was a more clear presentation than I had seen. I enjoyed the fractal topics as well. Some of the material was really challenging, so I felt a big sense of accomplishment when I finished the course.

par baiju

•Feb 24, 2018

Superb class, explained the subject very well

par RAJATH G K

•Jun 18, 2018

The Course was highly informative.

par Marcin W

•Sep 02, 2016

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

par Samir

•Jan 12, 2017

Perfect! Just perfect! I'm grateful!

par Paritosh G

•Aug 30, 2016

Excellent course with interesting content, great self explanatory notes and a nice teacher who explains it all meticulously!

par liruidong

•Mar 19, 2017

good class

par shouvik d

•Oct 02, 2016

A great course for beginners and engineers looking to just apply concepts of Complex Analysis without going too much into mathematical rigour. This course does not require any knowledge of "Real Analysis" or "Multi-variable/Vector" calculus as a prerequisite which is one of it's greatest strengths.

This has especially helped in my preparation for a graduate-entrance exam called GATE that we have here in India.

Although, I believe the course could include some more number of problems and solutions.

par Morris S

•Oct 15, 2017

Very interesting, and challenging!

par Arpon P

•Feb 25, 2017

This course is fairly appropriate for those who have completed high school eduaction and opt to pursue higher studies in the field of science and engineering. This is an introductory course on complex analysis and does not cover advanced topics like zeta function, Manderbolt set etc in great detail. If you are doing major on Mathematics and looking for a graduate level course, this is not for you.This course offers an introduction to complex numbers, then discusses briefly on function iteration. In this course, you will learn on complex functions, complex derivative and integration, Cauchy-Riemann equation, Residues. The topics required to pursue undergraduate science education are covered nicely in this course.It is essential to do the quizzes and assignments to get hold of this topic. I thought the exercises in the course are not enough. I would recommend to do more exercises from any standard textbook on Complex Analysis. This course does not specifically follow any textbook. You will get some suggestions for textbook in the discussion forum.To get a deeper understanding, it is a great idea to follow the discussion forum. If you have any difficulty in understanding any topic, you can share in the discussion forum. Also following other people's questions helps you to develop an insight on this topic. Discussion forum is an integral part of this course. Use it wisely.To conclude, any high school graduate can take the course without any difficulty.

par Shehab E

•Jun 06, 2016

Amazing Course

par Henrique S L

•Jan 30, 2017

Excellente.This course is a great way to learn complex analysis.

par sourav s

•Aug 15, 2016

outstanding.

par Yao X

•Jul 11, 2017

Thank Dr. Bonfert-Taylor so much for delivering this course online at coursera. I've really learned a lot from this course. And I hope I'll take another course with her again.

par Rajesh J

•Apr 09, 2017

Helpful introduction to complex analysis. Sketches the intuition behind fundamental theorems without becoming too difficult for amateur mathematicians to follow.

par 黄鹏锟

•Apr 02, 2018

It's the first time I join a class like this, I think it's a fantastic experience for me, Although I was busy after I came back to school, it's the course itself that encourage me to finish all kinds of work in my spare time, and I do learn something about complex analysis, which I will learn in detail in my follow college years. Thanks to the course, I could have a overview about my class. Last but not least, I think the way that let us check homework for each other is really nice, I spend a few hours to finish the first one because I really want to leave an good impression for my classmates, who are really nice because they gave me warm and nice judgement. I think I would highly recommend this course for whoever want to have a overview and application of complex analysis.

par Neringa B

•Jul 23, 2016

The course is very well presented. Great experience for those individuals who believe in purity and virtue of the ideas enchained by the mathematical consensus.

par Joe W

•Oct 26, 2018

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.

par Fathima S

•Oct 28, 2018

This is a great course for anyone who wants to learn the fundamentals of Complex Analysis.

The instructor has also included a few applications that us go "Wow!!"

Assignments are well-thought and they make sure that the key-ideas are comprehensively gathered by the learner.

par Yan Y

•Aug 30, 2018

nice

par Xiaoping G

•Apr 15, 2019

Very good course.

par Sourav D

•Apr 06, 2019

A must do course!!!!

par José G d S L

•Mar 22, 2019

Very good course. Learned many things here.

par Prashant K

•Apr 09, 2019

nice course.very good lectures

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