Introduction to Complex Numbers.pdf

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Introduction to Complex
Numbers
YouTube Workbook
Christopher C. Tisdell
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Christopher C. Tisdell
Introduction to Complex Numbers:
YouTube
Workbook
2
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Introduction to Complex Numbers:
YouTube
Workbook
1
st
edition
© 2015 Christopher C. Tisdell &
bookboon.com
ISBN 978-87-403-1110-5
3
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Introduction to Complex Numbers:
YouTube
Workbook
Contents
Contents
How to use this workbook
About the author
Acknowledgments
1
1.1
2
2.1
2.2
2.3
2.4
2.5
What is a complex number?
Video 1: Complex numbers are AWESOME
Basic operations involving complex numbers
Video 2: How to add/subtract two complex numbers
Video 3: How to multiply a real number with a complex number
Video 4: How to multiply complex numbers together
Video 5: How to divide complex numbers
Video 6: Complex numbers: Quadratic formula
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9
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11
15
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19
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Introduction to Complex Numbers:
YouTube
Workbook
Contents
3
3.1
3.2
3.3
3.4
3.5
3.6
3.7
3.8
4
4.1
4.2
4.3
4.4
4.5
5
5.1
What is the complex conjugate?
Video 7: What is the complex conjugate?
Video 8: Calculations with the complex conjugate
Video 9: How to show a number is purely imaginary
Video 10: How to prove the real part of a complex number is zero
Video 11: Complex conjuage and linear systems
Video 12: When are the squares of
z
and its conjugate equal?
Video 13: Conjugate of products is product of conjugates
Video 14: Why complex solutions appear in conjugate pairs
How big are complex numbers?
Video 15: How big are complex numbers?
Video 16: Modulus of a product is the product of moduli
Video 17: Square roots of complex numbers
Video 18: Quadratic equations with complex coefcients
Video 19: Show real part of complex number is zero
Polar trig form
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39
360°
thinking
Video 20: Polar trig form of complex number
.
360°
thinking
.
360°
thinking
.
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© Deloitte & Touche LLP and affiliated entities.
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© Deloitte & Touche LLP and affiliated entities.
Deloitte & Touche LLP and affiliated entities.
Discover the truth at www.deloitte.ca/careers
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