Retour à Introduction to Complex Analysis

4.8

611 notes

•

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!

Jun 25, 2018

The prof makes it easy to understand yet fascinating. I enjoyed video checkpoints, quizzes and peer reviewed assignments. This course encourages you to think and discover new things.

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par Bojan B

•May 07, 2017

Really good course, covers the topics I expected and wanted and at a depth that was good for gaining understanding without getting too deep. This is exactly what I wanted for the amount of time I had each week.

par Johannse E

•Mar 27, 2017

Doctor Petra Bonfert - Taylor is out standing scholar and she knows how to deliver her deep knowledge in mathematics to her students. I remind her as great scholar in mathematics.

Sincerely,

Johannse

par Ajit C B

•Sep 05, 2017

Excellent course! I really hope there is a follow-up advanced version.

par Riccardo F

•Sep 21, 2016

Excellent.

par 胡梦晓

•Jul 10, 2017

I like it

par Charles K

•Jan 16, 2017

While there are a plethora of MOOCs around aimed at first-year maths, Prof Bonfert-Taylor should be congratulated for being one of the few to bring a course on higher mathematics to the masses. This is a particularly valuable effort that's accessible to anyone with a grasp of first-year calculus.

par Meir S

•Jan 17, 2017

Excellent entry into the world of complex analysis. Dr. Petra Bonfert-Taylor carefully constructs the foundations for complex functions while constantly providing enriching examples. Complications in advanced proofs are sometimes obviated (she will mention what she chooses to skip). If you only need to learn to use complex analysis Dr. Petra Bonfert-Taylor provides more than enough guidance. Since I enjoy understanding mathematics from the axioms up, I found myself turning to outside resources to fill in the nuanced complications. Consider doing the same if you are like me.

par Rongge Y

•Oct 02, 2017

Great course! Very nicely explained to someone new to the topic!

par Fernando L

•Jul 18, 2016

I am really enjoying this course

par Nora I

•Nov 10, 2016

Pedagogically insurmountable! I recommend it! I am a PhD student writing the thesis, and need to refresh old subjects. Well, this was better than any math course I took in the University. The professor serves the aim to teach, and not to feed her/his ego, really next level education!! Loved it!

par Peter B

•May 15, 2017

Comprehensive coverage of topics, very clear delivery and explanations

par Jorge P L

•Aug 03, 2017

Very good Course... Given the complexity and the abstraction of complex analysis I was surprised to see I could follow perfectly well the lectures and actually learn..

Petra did a very good job explaining every step in the learning path.

Contratulations Petra!

par Gary U

•Oct 02, 2017

Excellent course for an introduction to complex analysis. Beginning from basic concepts, the instructor develops the basis of complex analysis. The first two weeks having to do with Julia sets and Mandelbrot sets are colorful lessons, the real analysis starts on week 3. The instructor is excellent, providing step by step instructions in the presentation and also some proofs of the theorems. Week 4 lessons 4 and 5 deal with the Riemann Zeta function and the Prime Number Theorem, very interesting and addition to the course. There is much more that could be added, perhaps a further course can be developed for the MOOC.

par EDOUARD L

•Dec 11, 2016

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

par Morris S

•Oct 15, 2017

Very interesting, and challenging!

par Sumantu C

•May 17, 2017

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

par Carolina G P

•Mar 15, 2017

Excelent course!

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 Iurii S

•Oct 03, 2016

Great course, I wish there were more courses like this one on Coursera

par Jorge P

•Jun 29, 2016

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

par Cristóvão Z R

•Aug 08, 2016

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

par Natasha S

•Jun 25, 2018

The prof makes it easy to understand yet fascinating. I enjoyed video checkpoints, quizzes and peer reviewed assignments. This course encourages you to think and discover new things.

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 Henrique S L

•Jan 30, 2017

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

par Ran L

•Jul 02, 2017

Fabulous course!