About this Course

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Learner Career Outcomes

50%

started a new career after completing these courses

25%

got a tangible career benefit from this course
Shareable Certificate
Earn a Certificate upon completion
100% online
Start instantly and learn at your own schedule.
Flexible deadlines
Reset deadlines in accordance to your schedule.
Intermediate Level
Approx. 28 hours to complete
English
Subtitles: English

Skills you will gain

Power SeriesComplex AnalysisMappingOptimizing Compiler

Learner Career Outcomes

50%

started a new career after completing these courses

25%

got a tangible career benefit from this course
Shareable Certificate
Earn a Certificate upon completion
100% online
Start instantly and learn at your own schedule.
Flexible deadlines
Reset deadlines in accordance to your schedule.
Intermediate Level
Approx. 28 hours to complete
English
Subtitles: English

Offered by

Wesleyan University logo

Wesleyan University

Syllabus - What you will learn from this course

Content RatingThumbs Up97%(6,817 ratings)Info
Week
1

Week 1

5 hours to complete

Introduction to Complex Numbers

5 hours to complete
5 videos (Total 119 min), 5 readings, 2 quizzes
5 videos
Algebra and Geometry in the Complex Plane30m
Polar Representation of Complex Numbers32m
Roots of Complex Numbers14m
Topology in the Plane21m
5 readings
Lecture Slides10m
Lecture Slides10m
Lecture Slides10m
Lecture Slides10m
Lecture Slides10m
1 practice exercise
Module 1 Homework10m
Week
2

Week 2

3 hours to complete

Complex Functions and Iteration

3 hours to complete
5 videos (Total 123 min), 5 readings, 1 quiz
5 videos
Sequences and Limits of Complex Numbers30m
Iteration of Quadratic Polynomials, Julia Sets25m
How to Find Julia Sets20m
The Mandelbrot Set18m
5 readings
Lecture Slides10m
Lecture Slides10m
Lecture Slides10m
Lecture Slides10m
Lecture Slides10m
1 practice exercise
Module 2 Homework10m
Week
3

Week 3

5 hours to complete

Analytic Functions

5 hours to complete
5 videos (Total 135 min), 5 readings, 2 quizzes
5 videos
The Cauchy-Riemann Equations29m
The Complex Exponential Function24m
Complex Trigonometric Functions21m
First Properties of Analytic Functions25m
5 readings
Lecture Slides10m
Lecture Slides10m
Lecture Slides10m
Lecture Slides10m
Lecture Slides10m
1 practice exercise
Module 3 Homework10m
Week
4

Week 4

3 hours to complete

Conformal Mappings

3 hours to complete
5 videos (Total 113 min), 5 readings, 1 quiz
5 videos
Conformal Mappings26m
Möbius transformations, Part 127m
Möbius Transformations, Part 217m
The Riemann Mapping Theorem15m
5 readings
Lecture Slides10m
Lecture Slides10m
Lecture Slides10m
Lecture Slides10m
Lecture Slides10m
1 practice exercise
Module 4 Homework10m

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Frequently Asked Questions

  • Access to lectures and assignments depends on your type of enrollment. If you take a course in audit mode, you will be able to see most course materials for free. To access graded assignments and to earn a Certificate, you will need to purchase the Certificate experience, during or after your audit. If you don't see the audit option:

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