Introduction to Complex Analysis
- Interactive Course
- 7 h 30 min
- Intermediate
- 2 Certifications
Estimated Time: 7 h 30 min
Course Level: Intermediate
Requirements: This course requires proficiency with elementary algebra, single-variable calculus and some multivariable calculus.
Certification Levels: CompletionLevel 1
Summary
This course provides a basic introduction to the properties and applications of complex numbers and functions with the help of visualization and computation tools in Wolfram Language. Complex analysis is a versatile tool that is used extensively in science, engineering and other fields. It is also a beautiful topic in itself. The course covers the complex plane; polar coordinates; complex, analytic and harmonic functions; Cauchy's theorem and integral formula; series representations; the residue theorem and application areas where complex analysis is used. The emphasis is on visualization and hands-on exercises, rather than on comprehensive proofs.
Featured Products & Technologies: Wolfram Language (available in Mathematica and Wolfram|One)
You'll Learn To
- Perform operations using complex numbers
- Understand the properties and singularities of complex functions
- Compute complex integrals with Cauchy's theorem
- Expand complex functions into Taylor and Laurent series
- Find residues of meromorphic functions
- Apply complex analysis to engineering and other areas
Certifications Available
Completion Certificate
Certify your completion of this course by watching course videos and passing the auto-graded quizzes.
Track My Progress
Level 1 Certification
Pass the auto-graded quizzes and final exam to certify your proficiency in complex analysis.
Track My Progress
About This Interactive Course
It's free and easy to get started with open interactive courses using the Wolfram Cloud—sign in with your Wolfram ID or create one. No plan is required. This interactive course includes video lessons, quizzes, exercises, a final exam and a scratch notebook, all in an easy-to-use interface. From the interactive course, click Track My Progress to chart your certification progress as you go. Recommended best practice for completing this interactive course is to start with Lesson 1 and progress through the video lessons, taking each quiz in the order it appears in the table of contents.
