Voltar para Introduction to Complex Analysis

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694 classificações

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218 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 Brahadeesh S

•Sep 05, 2017

The course content as well as the presentation of the material by the instructor are both wonderful. The quizzes and peer-graded assignments are optimally designed. Although there are few proofs of theorems, the applications and examples are in sufficient number that the understanding of the theorems is obtained.

por 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.

por 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.

por 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!

por George B

•Aug 16, 2016

Very clear and well paced class. I like the early introduction to Julia sets to introduce recent mysteries of in the subject before teaching the classical results. The professor is a very clear speaker and was generous enough with her time to answer some of the forum questions.

por Dr. S S

•May 19, 2020

This course is absolutely amazing. I am very happy to complete it and gain so much knowledge during this course. Highly recommended to all the students and teachers to attempt the course. Its very beneficial for future also.

Thank you so much to whole team of Cousera !!!

por 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.

por 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!

por 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.

por 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.

por Arturo O P

•Mar 13, 2017

Muy buen curso aunque sugiero un pequeño preambulo en los videos de youtube que tiene como titulo fractales la sexta dimension para entender con mayor claridad algunos conceptos a los que no acostumbramos en ingles

por 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.

por Etienne R

•Jan 17, 2017

I never took a course in complex analysis before and very much enjoyed this introductory course. I found that the material was presented in a very understandable way, with good and often illuminating examples.

por Suraj S K

•May 05, 2020

I wish Prof. Petra Bonfert Taylor teaches more courses. She has taught this course with lot of enthusiasm and has made this course a very interesting journey from the beginning till end. Thank you very much.

por Changyu G

•May 17, 2017

A good and clear introductory course for Complex Analysis! Cover the basic theory of Complex Analysis with rich examples.

And it's awesome to see the fractal geometry part (Julia set, Mandelbrot set, etc.)

por 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

por 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.

por 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

por 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.

por 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.

por Wesley R S

•Sep 24, 2017

Wow, great introductory course on complex analysis, was hoping for a bit more analysis and a bit more actual proofs, but it's Coursera, can't expect a full-on course here.

por Luis M A V

•May 05, 2017

It´s a well structured course that gives a good glance of Complexe Analysis. The instructrice give a detaleled information aboute the themes of the course. Very good.

por JORGE E M L V

•Mar 15, 2019

EXCELENTE CURSO LO RECOMIENDO MUCHÍSIMO DE VERDAD QUE SE APRENDE MUCHO ACERCA DEL ANÁLISIS COMPLEJO ES MUY BUENO PARA AQUELLOS ESTUDIANTES DE CIENCIAS Y MATEMÁTICA

por 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.

por 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.

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