Вернуться к Introduction to Complex Analysis

4.8

Оценки: 613

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Рецензии: 193

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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автор: Jorge P

•Jun 29, 2016

Super Great teacher, very interesting new things to learn.Highly recommended for people who love Math.

автор: Juan P A

•Oct 17, 2017

Material was well motivated and clearly presented. Feedback on quizzes was excellent, Great course !!!

автор: chung l

•Apr 16, 2018

Excellent to learn about complex analysis without burden of too much proofs; an introduction to Riemann Zeta function.

автор: Daniel S

•Sep 26, 2016

This is an outstanding course; one of the gems of the Coursera platform. It is only the launching point for my study of and fascination with complex analysis. I'd say the course covers about three-fifths of the content for an engineering mathematics treatment of functions of complex variables. I'm a student of fluid mechanics and my ignorance of advanced concepts in complex analysis has kept me from mastering some of the advanced topics in FM. I'm well on my way to go beyond those barriers, now.

автор: Tran D

•Dec 14, 2016

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

автор: Henry P k

•Sep 22, 2017

This was a well thought out and taught course in complex analysis. A good amount of detail and examples were nicely done. A particularly attractive feature of the course is that all slides were available in a downloadable .pdf format. The instructor was quite good and presented well prepared lectures.

автор: Shehab E

•Jun 06, 2016

Amazing Course

автор: David R

•Aug 11, 2016

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

автор: Matthew T

•May 08, 2018

Challenging, really good course. Lectures were well presented.

автор: 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.

автор: 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.

автор: Rachana D

•Sep 18, 2017

I enjoyed learning this course.. Learn lots of basics of complex analysis.

автор: Assaf B

•Feb 22, 2018

This is a beautiful area, delivered in a brilliant manner here. It succeeds in delivering most of the material in a near-uncompromising way, even though it also targets those who remember single variable calculus and nothing more.

This does not mean that the course is easy, especially if you just have the basic prerequisites, or are separated years from the last time you learned math like myself, when trying to complete tasks, you will find yourself getting back to the material and reviewing slides and videos again, and this challenge really adds to the understanding of the material. Also, as an added bonus, if you are distant many years from the time you last learnt mathematics, it will remove a little of the rust.

Brilliantly done.

автор: Jerry H

•Aug 03, 2018

This is an excellent and challenging course! A great introduction to complex analysis. I feel some materials covered in the course might lack rigorous derivations, but the proofs are really intuitive. I hope Professor can make more courses like this one on Coursera about other topics in mathematics like linear algebra, number theory, abstract algebra, topology, differential geometry and functional analysis etc.

автор: Keedong P

•Aug 22, 2018

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

автор: Swapnil S

•Sep 09, 2018

Learning a whole lot of new things. Also helps in brushing up my concepts.

автор: Maurice M

•Sep 10, 2018

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

автор: Moez B

•Aug 27, 2018

Excellent, thorough course with a fantastic instructor.

автор: Yan Y

•Aug 30, 2018

nice

автор: 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.

автор: 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.

автор: ABHISHEK T

•Nov 12, 2018

very usefull course for college

автор: Diwakar S

•Nov 15, 2018

it was very challenging course , not so easy to pass the assignments but if you have gone through lectures, it will helps a lot while doing the assignments especially the final quiz

автор: Shivam

•Nov 14, 2018

excellent

автор: Zhu K

•Nov 27, 2018

Very helpful, focused on intuition and examples, maybe not detailed enough for a Mathematics student, but great for an Engineering student. Would be better if it could cover some material about Fourier transformation.