This course on Introduction to Complex Analysis teaches Introduction to Complex Analysis fundamentals through 2 interactive modules. If you are , then this course is for you. You can access this course on web and mobile, it’s available in language.
This course on Introduction to Complex Analysis teaches Introduction to Complex Analysis fundamentals through 2 interactive modules. If you are , then this course is for you. You can access this course on web and mobile. This complete course is available in language.
Learn new concepts from professionals in the field.
Acquire a basic understanding of a topic or skill
Gain practical project experience to enhance employability.
Obtain a career certificate that can be shared.
Topics you will learn
Introduction to Complex Numbers
5 videos
History of Complex Numbers
Algebra and Geometry in the Complex Plane
Polar Representation of Complex Numbers
Roots of Complex Numbers
Topology in the Plane
5 readings
Lecture Slides
1 quiz
Module 1 Homework
1 peer review
Peer-Graded Assignment #1
Complex Functions and Iteration
5 videos
Complex Functions
Sequences and Limits of Complex Numbers
Iteration of Quadratic Polynomials, Julia Sets
How to Find Julia Sets
The Mandelbrot Set
5 readings
Lecture Slides
1 quiz
Module 2 Homework
Analytic Functions
5 videos
The Complex Derivative
The Cauchy-Riemann Equations
The Complex Exponential Function
Complex Trigonometric Functions
First Properties of Analytic Functions
5 readings
Lecture Slides
1 quiz
Module 3 Homework
1 peer review
Peer Graded Assignment #2
Conformal Mappings
5 videos
Inverse Functions of Analytic Functions
Conformal Mappings
Möbius transformations, Part 1
Möbius Transformations, Part 2
The Riemann Mapping Theorem
5 readings
Lecture Slides
1 quiz
Module 4 Homework
Complex Integration
5 videos
Complex Integration
Complex Integration - Examples and First Facts
The Fundamental Theorem of Calculus for Analytic Functions
Cauchy’s Theorem and Integral Formula
Consequences of Cauchy’s Theorem and Integral Formula
5 readings
Lecture Slides
1 quiz
Module 5 Homework
1 peer review
Peer-Graded Assignment #3
Power Series
5 videos
Infinite Series of Complex Numbers
Power Series
The Radius of Convergence of a Power Series
The Riemann Zeta Function And The Riemann Hypothesis
The Prime Number Theorem
5 readings
Lecture Slides
1 quiz
Module 6 Homework
Laurent Series and the Residue Theorem
6 videos
Laurent Series
Isolated Singularities of Analytic Functions
The Residue Theorem
Finding Residues
Evaluating Integrals via the Residue Theorem
Bonus: Evaluating an Improper Integral via the Residue Theorem
6 readings
Lecture Slides
1 quiz
Module 7 Homework
Final Exam
Final Exam
Course Offerings
Certificate you will get
Certificate Features
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Pre Requsites
Curious Mind to learn new concepts
Strong internet connection
After this Course
Course is for
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FAQ's
When will I have access to the lectures and assignments?
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: The course may not offer an audit option. You can try a Free Trial instead, or apply for Financial Aid.The course may offer 'Full Course, No Certificate' instead. This option lets you see all course materials, submit required assessments, and get a final grade. This also means that you will not be able to purchase a Certificate experience.
What will I get if I purchase the Certificate?
When you purchase a Certificate you get access to all course materials, including graded assignments. Upon completing the course, your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile. If you only want to read and view the course content, you can audit the course for free.
What is the refund policy?
You will be eligible for a full refund until two weeks after your payment date, or (for courses that have just launched) until two weeks after the first session of the course begins, whichever is later. You cannot receive a refund once you’ve earned a Course Certificate, even if you complete the course within the two-week refund period. See our full refund policyOpens in a new tab.
Is financial aid available?
Yes. In select learning programs, you can apply for financial aid or a scholarship if you can’t afford the enrollment fee. If fin aid or scholarship is available for your learning program selection, you’ll find a link to apply on the description page.
To purchase this course you can click on the Enroll Now button it will redirect you to course page, and on that page you can buy Introduction to Complex Analysis course.
