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Complex Numbers

Imaginary and Complex Numbers

Imaginary Numbers (7:42)
Complex Numbers (7:11)

Operations with Complex Numbers & Quadratic Equations

Adding & Subtracting Complex Numbers (6:08)
Multiplying Complex Numbers (8:49)
The Complex Conjugate (11:41)
Complex Solutions to Quadratic Equations (10:54)
Complex Conjugate Pair Solutions (10:20)
Problems Involving Complex Conjugate Pair Solutions (12:13)
Practice Questions

Argand Diagrams

Starting Argand Diagrams (7:01)
Vector Representation of Complex Numbers (8:26)
Adding & Subtracting Complex Numbers on an Argand Diagram (9:53)
Practice Questions

Modulus-Argument Form

The Modulus of a Complex Numbers (6:38)
The Argument of a Complex Numbers (12:16)
The Modulus-Argument form of a Complex Number (14:24)
Rules for the Modulus-Argument form of a Complex Number (15:34)
Practice Questions

Loci in the Argand Diagram

What is a Locus of Points? (7:16)
Circle Loci on an Argand Diagram (12:29)

Exponential Form of Complex Numbers

Exponential Form of Complex Numbers (9:52)
Multiplying Complex Numbers in Exponential Form (9:05)
Dividing Complex Numbers in Exponential Form (10:55)
Practice Questions

Nth Roots of Complex Numbers

De Moivre's Theorem (12:26)
Periodic Trigonometric Functions (7:41)
The Nth Root of Complex Numbers (6:12)
Finding the Nth Root of Complex Numbers (25:04)
Practice Questions

Additional Resources

Formula List

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Formula List

Formula list for the Complex Numbers course.

Complex Numbers Formula List.pdf

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