This course covers the fundamentals of complex numbers, including the imaginary unit i, simplifying square roots of negative numbers, solving equations with complex solutions, arithmetic operations with complex numbers, plotting complex numbers on the complex plane, and finding the absolute value of a complex number. The course teaches skills such as adding, subtracting, multiplying, and dividing complex numbers, as well as simplifying powers of i and complex conjugates. The teaching method includes theoretical explanations and step-by-step examples. This course is intended for learners who want to strengthen their understanding of complex numbers and their applications in mathematics.
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
