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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 181 ratings
Length 9 weeks
Effort 8 weeks of study, 6-12 hours/week
Starts Aug 24 (5 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

complex analysis

Brilliant first course in Complex Analysis.

I have had issues with Complex analysis ever since I encountered it in a course 4 years ago and was unable to overcome it despite numerous attempts to do so.

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.

Outstanding class -- very accessible introduction for a non-math major, but covered all the topics I felt I missed in my undergraduate complex analysis class.

The course covers beautiful corner of mathematics and is a wonderful introduction to the topic of Complex Analysis.

This course is a wonderful Introduction to the topic of Complex Analysis.

Beginning from basic concepts, the instructor develops the basis of complex analysis.

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very good

Very good teacher.

Very good materials.

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!

Very Good course.

Very good.

Got very good grounding.

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introduction to complex

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.

I know I'm giving this 3 stars, but I wanted to point out that this is not a rigorous introduction to complex variables.

Helpful introduction to complex analysis.

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.

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

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very clear

THIS COURSE IS VERY INTERESTING TO LEARN AND CAN BE WELL VISUALIZED PRACTICALLY Comprehensive coverage of topics, very clear delivery and explanations Really good course, covers the topics I expected and wanted and at a depth that was good for gaining understanding without getting too deep.

Thanks :D Great course very clear and explaining well the motivations behind the results Enjoyable and very solid course, excellent on all aspects.

The course is really interesting and it is very clear.thanks a lot of !

Very clear and well paced class.

The professor is a very clear speaker and was generous enough with her time to answer some of the forum questions.

Nice lecturer, and very clear pdf slides available for read at any time.

Very clear and inspiring :) Very helpful, focused on intuition and examples, maybe not detailed enough for a Mathematics student, but great for an Engineering student.

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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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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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Rating 4.8 based on 181 ratings
Length 9 weeks
Effort 8 weeks of study, 6-12 hours/week
Starts Aug 24 (5 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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