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Introduction to Complex Analysis

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.

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Rating 4.8★ based on 244 ratings
Length 9 weeks
Effort 8 weeks of study, 6-12 hours/week
Starts Jun 26 (44 weeks ago)
Cost $49
From Wesleyan University via Coursera
Instructor Dr. Petra Bonfert-Taylor
Download Videos On all desktop and mobile devices
Language English
Subjects Mathematics
Tags Math And Logic

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What people are saying

introduction to complex analysis

This course was not always very rigorous, but a great introduction to complex analysis nevertheless.

Nice introduction to Complex Analysis, I really enjoyed the introduction to the Riemann Zeta Function and to The Riemann Hypothesis.

Excellent course for an introduction to complex analysis.

Helpful introduction to complex analysis.

A good introduction to complex analysis, well paced with good peer-assessed assignments and quizzes.

Good introduction to Complex Analysis Amazing course.

Great, informative introduction to complex analysis, really interesting.

A great introduction to complex analysis.

Great course and great overall introduction to complex analysis.

A really tough and complete introduction to complex analysis.

Just a set of facts lectures and trivial examples make a very elementary introduction to complex analysis.

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recommend this course

I think I would highly recommend this course for whoever want to have a overview and application of complex analysis.

All-in-all, I would recommend this course to others.

(Although it may have been easier had I not had external exams to do)I would highly recommend this course which spans from A-level to Year 3 university studies as it is presented in a clever and accessible way.

I recommend this course for all learners who want to learn something of advanced mathematics.

If you enjoy math, have had little or no complex analysis and are curious about what's up with the complex plane, I recommend this course.

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petra bonfert-taylor

In the end, Prof. Petra Bonfert-Taylor, does an excellent job at explaining concepts simply.

Also, the instructor, Prof. Petra Bonfert-Taylor, does a very good job at explaining concepts simply, by not being too pedantic (e.g., with the topological preliminaries).

best beginner/intermediate course on the web for complex analysis good course Petra Bonfert-Taylor did a great job constructing this course.

A GRAND Thank You to Dr Petra Bonfert-Taylor, Coursera, Wesleyan University.

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new things

I learned a lot of new things Awesome lectures...Great...Explanation...

I am really enjoying this course Super Great teacher, very interesting new things to learn.Highly recommended for people who love Math.

This course encourages you to think and discover new things.

Awesome I learned a lot of new things in this course, and it's fun It wasn't too fast or slow, and the questions were nice and challenging!

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dr. petra

Dr. Petra Bonfert-Taylor,thank you for this interesting course.

It's a fantastic course, the lessons was very interesting, Thank you very much Dr. Petra,i've learned a lot in this eight weeks.

Dr. Petra Bonfert-Taylor carefully constructs the foundations for complex functions while constantly providing enriching examples.

If you only need to learn to use complex analysis Dr. Petra Bonfert-Taylor provides more than enough guidance.

The course is excellent and Dr. Petra Bonfert-Taylor is an excellent instructor.

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so much

Thank Dr. Bonfert-Taylor so much for delivering this course online at coursera.

Thank you so much.

I am very happy to complete it and gain so much knowledge during this course.

Its very beneficial for future also.Thank you so much to whole team of Cousera !!!

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really enjoyed

i really enjoyed each part of the course.

But I really enjoyed it.

Great course, I really enjoyed it.

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Rating 4.8★ based on 244 ratings
Length 9 weeks
Effort 8 weeks of study, 6-12 hours/week
Starts Jun 26 (44 weeks ago)
Cost $49
From Wesleyan University via Coursera
Instructor Dr. Petra Bonfert-Taylor
Download Videos On all desktop and mobile devices
Language English
Subjects Mathematics
Tags Math And Logic

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