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. Wolfram AI Course Assistant is available for this interactive course.
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
New! Wolfram AI Course Assistant
This interactive course includes video lessons, quizzes, practice problems, a final exam and our new chat-based Course Assistant powered by Wolfram LLM Kit. Ask Course Assistant anything about the lesson, and it will provide you with contextually aware answers and even relevant code. Get started with our free courses by signing in to the Wolfram Cloud with your Wolfram ID—or create one; it's free! Our 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. You can click Track My Progress to chart your certification progress as you go. Wolfram AI Course Assistant is included with a Wolfram Notebook Assistant + LLM Kit subscription.
