Voltar para Introduction to Complex Analysis

4.8

639 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 James B

•May 15, 2019

Lots of neat math! It's challenging and requires a substantial time commitment. Though in CS, my love of math was re-awakened. If you are in CS and only want to know the basics of how to rotate objects with complex numbers and polar coordinates, then this course is way more than you need. 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.

por Hrvoje B

•Mar 23, 2018

The course covers beautiful corner of mathematics and is a wonderful introduction to the topic of Complex Analysis. I would highly recommend this course for undergraduate students. In my opinion maybe it`s too tough for highschool graduates.

Material was well motivated and clearly presented. The quizes and homework assignments generally may took longer than the stated time, but that`s just fine. Feedback on quizzes was excellent and useful.

In the end, Prof. Petra Bonfert-Taylor, does an excellent job at explaining concepts simply. The main reason for that are her extraordinary pedagogic skills. She made a well organized and concise course. I hope there will be an opportunity to take another course with her again Overall, I`m very satisfied and grateful!

por Rens K

•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!

por Aung K M

•May 20, 2019

Assignments are deep and systematic

por Yuchen D

•Jan 28, 2019

This is a very nice course, suitable for beginners.

por Ankush B

•Jan 30, 2019

Of course this is the best course with the best teachers!!! :)

por Nilesh k

•Dec 30, 2018

Wonderful course. Learned a lot.

por Bryan S V I

•Dec 16, 2018

grateful for the opportunity to learn some complex analysis.

por Neeti S

•Jan 03, 2019

Thanks, Very much enjoyed this course, and learned a great deal from it. Thanks!

por Mukul P

•Feb 11, 2019

one word "Awesome"

por Артюхин С А

•Mar 02, 2019

It was hard, amazing and helpful!!!

por Stephen H

•Mar 18, 2019

A comprehensive and tuitive course on complex analysis. The professor explains every detail very well and goes through the proofs step by step.

por José G d S L

•Mar 22, 2019

Very good course. Learned many things here.

por Colin Y

•Dec 22, 2018

The course covers quite a wide range of topics but are very approachable. Nice lecturer, and very clear pdf slides available for read at any time. One can follow the lecture contents either by watching the videos or by walking through the reading resources provided, either way serves my need. The assessment questions are well-designed to test the learner's understandings. Good course!

por Sydney D L

•Mar 30, 2019

Very good professor, explain things in details and make me understand many concepts.

por Sourav D

•Apr 06, 2019

A must do course!!!!

por Prashant K

•Apr 09, 2019

nice course.very good lectures

por viren k

•Jan 14, 2019

this course very good for starting the study of complex number and most important it is designed in very good way

por Ayush T

•Jan 26, 2019

This is really good course for complex analysis. Things have discussed in details and assignents are also very good. It covers most of the topics which I felt were relevent for my work and studies. I wish it had Reimannian Optimization, but even without it the course is really well designed as well as well taught.

por Daizhou

•Dec 28, 2018

Very informative, very good explanation, highly recommend!

por Mohammed F

•Apr 11, 2019

VERY HELPFUL

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 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.

por Rongge Y

•Oct 02, 2017

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

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.

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