Introduction to Complex Analysis
- Interactive Course
- Intermediate
- 1 Certification
Course Level: Intermediate
Requirements: This course requires proficiency with elementary algebra, single-variable calculus and some multivariable calculus.
Certification Levels: Completion
Summary
This course provides a thorough introduction to the properties and applications of complex numbers and functions with the help of visualization and computation tools in Wolfram Language. The course opens with a discussion of complex numbers and the complex plane and then presents the most important complex functions and their properties. Later course sections discuss analyticity and complex integration. These are followed by Cauchy's theorem, Cauchy's integral formula, the residue theorem and applications of complex analysis. Exercises and quizzes accompany each section of the course and are provided for self-paced assessment.
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.
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.
