Voltar para Introduction to Complex Analysis

4.8

634 classificações

•

195 avaliações

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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por Biswanath S

•Oct 07, 2018

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por Chen N

•Dec 02, 2018

Amazing! Professor Petra Bonfert-Taylor is a real master of simplifying complex conceptions. Very clear and inspiring :)

por Xiaoping G

•Apr 15, 2019

Very good course.

por Cyril C

•Jun 15, 2019

Great course and great overall introduction to complex analysis.

por Antonio L I

•Jun 26, 2019

Excellent teacher!

por Shift E

•Jul 12, 2019

It wasn't too fast or slow, and the questions were nice and challenging!

por Kwag, N

•May 14, 2019

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

por Napoleon C

•Jun 09, 2019

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

por Peter K

•Jul 14, 2019

I learned a lot of new things in this course, and it's fun

por guofei

•Jul 23, 2019

Very helpful！

por Nobody A

•Aug 03, 2019

This course was very enjoyable and I feel like I learned a lot about complex analysis. I just wish it were longer!

por Purvaash P U

•Aug 10, 2019

Thoroughly enjoyed the course :)

por Alessio E

•Aug 12, 2019

Nice course. Teacher explains very well.

por Raymond M

•Aug 21, 2019

Enjoyable. There seemed to be a few math rendering errors in some of the assignments. The homework assignments involving peer review were good.

You've got to appreciate how the originally recorded class needed more, but then the author added more! The lesson 7, Calculus of Residues was an appropriate addition, I didn't mind it being last, but it did not go into Branch Cuts.

por Arturo A S

•Sep 02, 2019

It is been a helpfull course for me.

por Marcin B

•Nov 08, 2019

Petra Bonfert-Taylor did a great job constructing this course. Her video lectures are clear and easy to follow. I took this course because I had lousy instructors at the university and this course filled the gap. There are a lot of examples and exercises where you actually have to do a lot of counting and playing with mathematical expressions. Much less focus is put on proofs, although some simple proofs are presented and sometimes the instructor outlines the main ideas behind other formal proofs. It may be beneficial to follow a standard textbook on complex analysis along with the online course. Last thing, the course is not easy. Unless you already have substantial experience with complex analysis prepare to study intensively. My experience is that it is important to re-do on your own all material covered during lectures. And indeed, without a good background on calculus and some general mathematical fluency, this course would be hard to complete.

por Alessandro R

•Oct 28, 2019

The instructor was phenomenal, and everything was exposed in a clear way. The different topics were always introduced well.

por Jianlong H

•Jan 05, 2019

It's wonderful!!

por Samuel P K

•Mar 07, 2019

Excellent instructor and good range of material. There are some theorems that aren't proved though and I was hoping that an analysis course would have proofs for all theorems students are required to use.

por Eleftheriadis V

•Mar 29, 2019

Really good course. Well explained and interesting.

por Ditiro M

•Apr 01, 2019

Even though I haven't completed the course, I managed to do up to week 3. It is nice and the lecture videos are easy to follow and understand. Hopefully i'll retake it and complete it this time around.

por Glenn R

•Aug 17, 2016

I found this very interesting, covering some topics I did not expect an introduction. I think the pace of the course is about right, but I would have liked more questions. Unfortunately I became very busy during the course and failed to keep up. I look forward to repeating it when I have more time.

por Malcolm G

•May 15, 2018

Fun course and learned lots. Its tough to do maths without doing lots of practice so be prepared to do lots of examples outside of the course in order to master the material.

por Blondeau

•Sep 06, 2016

The course is really interesting and it is very clear.

thanks a lot of !

Sylvain

por Daniel

•Mar 07, 2017

Nice course explaining basics of complex analysis.

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