Session Overview
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In this session we will learn complex arithmetic and Euler's formula. These are important algebraic tools used throughout the course. |
Session Activities
Read the course notes:
Watch the lecture video clip:
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Complex Arithmetic, Euler's Formula (00:06:37)
Complex Arithmetic, Euler's Formula
> Download from iTunes U (MP4 - 87MB)
> Download from Internet Archive (MP4 - 87MB)
Read the course notes:
Watch the lecture video clip:
- Justification of Euler's Formula (00:17:21)
Check Yourself
Take the quizzes:
- Multiplication by i (PDF)
- Choices (PDF)
- Answer (PDF)
- Complex Conjugation (PDF)
- Choices (PDF)
- Answer (PDF)
- Complex Powers (PDF)
- Choices (PDF)
- Answer (PDF)
Session Activities
Read the course notes:
Watch the lecture video clip:
- Polar Form (00:06:02)
Learn from the Mathlet materials:
- Read about how to work with the Complex Exponential Applet (PDF)
- Work with the Complex Exponential Applet
Check Yourself
Session Activities
Watch the lecture video clip:
- Example: Complex Replacement (00:09:35)
Read the course notes:
Watch the lecture video clip:
- Nth Roots (00:05:53)
Watch the problem solving video:
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Complex Numbers and Euler's Formula (00:11:29)
Complex Numbers and Euler's Formula
> Download from iTunes U (MP4 - 25MB)
> Download from Internet Archive (MP4 - 25MB)
Complete the practice problems:
Check Yourself
Complete the problem sets:
- Problem Set Part I Problems (PDF)
- Problem Set Part I Solutions (PDF)
- Problem Set Part II Problems (PDF)
- Problem Set Part II Solutions (PDF)