The Polar Form of COMPLEX NUMBERS // Finding the nth roots of -1
In Episode 3 of my series on Complex Numbers, we talk about the polar form or exponential form of complex numbers. Using Euler's Formula we can write any complex number as z=re^(i theta). The distance r, sometimes written |z|, is the distance from the origin while the argument of the complex number is theta. One big advantage of writing complex numbers this way is that it makes multiplying them very easy to understand as a combination of stretching and rotating.
Episode 1: Algebraic View of complex numbers
Episode 2: Geometric View of complex numbers
0:00 Polar Form
4:26 Multiplication of Complex Numbers
6:22 Ex: root 3 +i in Polar Form
8:05 Ex: cube roots of -1
COURSE PLAYLISTS:
►CALCULUS I: • Calculus I (Limits, Derivative, Integ...
► CALCULUS II: • Calculus II (Integration Methods, Ser...
►MULTIVARIABLE CALCULUS (Calc III): • Calculus III: Multivariable Calculus ...
►DIFFERENTIAL EQUATIONS (Calc IV): • How to solve ODEs with infinite serie...
►DISCRETE MATH: • Discrete Math (Full Course: Sets, Log...
►LINEAR ALGEBRA: • Linear Algebra (Full Course)
OTHER PLAYLISTS:
► Want to learn math effectively? Check out my "Learning Math" Series:
• 5 Tips To Make Math Practice Problems...
►Want some cool math? Check out my "Cool Math" Series:
• Cool Math Series
BECOME A MEMBER
►Join: / @drtrefor
MATH BOOKS & MERCH I LOVE
► My Amazon (affiliate) store: https://www.amazon.com/shop/treforbazett
SOCIALS:
►Twitter (math based): / treforbazett
►Instagram (photography based): / treforphotography
Watch video The Polar Form of COMPLEX NUMBERS // Finding the nth roots of -1 online without registration, duration hours minute second in high quality. This video was added by user Dr. Trefor Bazett 17 August 2020, don't forget to share it with your friends and acquaintances, it has been viewed on our site 18,586 once and liked it 703 people.