Part I: Complex Variables
Lecture 1: The Complex Numbers
Track Description: Herb Gross explains the need to define complex numbers. He defines the structure of the system of complex numbers including addition, subtraction, multiplication, division, powers and roots and shows that the system is closed under all these operations.
Instructor/speaker: Prof. Herbert Gross
Study Guide for Lecture 1: The Complex Numbers
- Chalkboard Photos, Reading Assignments, and Exercises (PDF - 1.8MB)
- Solutions (PDF - 5.1MB)
To complete the reading assignments, see the Supplementary Notes in the Study Materials section.
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Lecture Videos
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Problem Sets with Solutions
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Lecture Notes