About this Course

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Learner Career Outcomes

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started a new career after completing these courses

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got a tangible career benefit from this course
Shareable Certificate
Earn a Certificate upon completion
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Start instantly and learn at your own schedule.
Flexible deadlines
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Intermediate Level
Approx. 27 hours to complete
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. 27 hours to complete
English

Offered by

Placeholder

Wesleyan University

Syllabus - What you will learn from this course

Content RatingThumbs Up97%(7,198 ratings)Info
Week
1

Week 1

4 hours to complete

Introduction to Complex Numbers

4 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 Homework30m
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 Homework30m
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 Homework30m
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 Homework30m

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