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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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Vector Representation of Complex Numbers
Students will use vectors to represent complex numbers on an Argand Diagram.
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