About this course: 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.
Who is this class for: This course is aimed at anyone interested in exploring a beautiful and important corner of mathematics. A willingness to refresh (if necessary) one's calculus knowledge is very useful, though enthusiasm and interest in learning are more important than any prior knowledge.
Taught by: Dr. Petra Bonfert-Taylor, Professor of Mathematics
Mathematics and Computer Science
| Level | Intermediate |
| Commitment | 8 weeks of study, 6-12 hours/week |
| Language | English |
| How To Pass | Pass all graded assignments to complete the course. |
| User Ratings |
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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.
clearly explained, clear voice, teaching style is perfect and instant reply on discussion board. i guess more no. of questions are required in the assignments and homework. assignments and homework questions are average level kind, it needs to be improved to a little higher level thinking kind. i really enjoyed each part of the course.
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.)
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DB
good