Dive into a comprehensive 25-minute video lesson on complex numbers, covering essential concepts from the imaginary unit i to advanced operations. Learn how to simplify square roots of negative numbers, solve equations with non-real complex solutions, and perform arithmetic operations with complex numbers. Master techniques for multiplying complex conjugates, dividing complex numbers, and simplifying powers of i. Explore the geometric representation of complex numbers on the Argand diagram and discover how to calculate their absolute values. Perfect for students and enthusiasts looking to strengthen their understanding of complex number theory and applications.
Overview
Syllabus
Introduction
Imaginary unit i
What is a complex number a + bi
Simplifying the square root of a negative number #1
Simplifying the square root of a negative number #2
Solving a quadratic equation with complex solutions
Simplifying product of two negative radicals
Adding complex numbers
Subtracting complex numbers
Multiplying complex numbers using FOIL
Multiplying complex conjugates
Dividing complex numbers
Simplifying powers of i #1
Simplifying powers of i #2
Plotting complex numbers on the Argand diagram
Finding the absolute value of a complex number
Taught by
GreeneMath.com
