Complex Numbers and Complex Exponentials
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Lesson Description:
Complex Numbers and Complex Exponentials -- Lecture 6. Learn how complex numbers and exponentials are used in ODEs.
Arthur Mattuck, 18.03 Differential Equations, Spring 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 26, 2008). License: Creative Commons BY-NC-SA.
More info at: http://ocw.mit.edu/terms
Additional Resources:
- Input-Response Models - Input-Response Models
- Notes - Notes and exercises written by Prof. Mattuck
- Lecture Notes - Lecture Notes
- Recitation Problems - Recitation Problems and classwork exercises
- Recitation Solutions - Recitation problem solutions
- Complex Exponential Java Applet - An interactive Java Applet to discover complex exponentials.
- Complex Number Definitions - Complex number definitions and functions.
- Supplementary Notes - Chapter 4 Supplementary Notes written by Prof. Miller
Questions answered by this video:
- What are complex numbers?
- What are complex exponentials?
- What is a complex conjugate?
- What is Euler's Formula?
- What is the exponential law?
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Staff Review
In this video, complex numbers and complex exponentials are discussed and used in relation to differential equations. Complex exponential equations are discussed in depth, so a decent background in complex / imaginary numbers will be very beneficial when watching this lesson.
