Complex Numbers
2.1.1 Videos
Intro to Imaginary Numbers - https://youtu.be/UqBtTCTxJeY
Simplifying Imaginary Numbers
Example Problems 1 - https://youtu.be/aPVkygICzTo
Example Problems 2 - https://youtu.be/ZS2_irPRKuc
2.1.2 Videos
Intro to Complex Numbers - https://youtu.be/aSTQDwoTP7w
Simplifying Complex Numbers (notes video) - https://youtu.be/_CjRgDt1ZyA
Simplifying Complex Numbers (example problems)
Learning Objectives
- Perform arithmetic operation with complex numbers.
Know there is a complex number i such that , and every complex number has the form a + bi with a and b real.
Use the imaginary number i and the commutative, associative, and distributive properties to add, subtract, and multiple complex numbers
(+) Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers.
- Use complex numbers in polynomial identities and equations.
(+) Extend polynomial identities to the complex numbers.
For example, factoring quadratic expressions with complex factors.