In this lecture you will learn about Imaginary and Complex Numbers. Professor Fraser will begin with Properties of Square Roots before moving into Imaginary Numbers and the Powers of Imaginary Numbers. Next, you will understand Complex Numbers, Equality, as well as Addition and Subtraction Techniques of Complex Numbers. Lastly, you will cover the Complex Plane along with Multiplication and Division of Complex Numbers before ending with Complex Conjugates.
are the square roots of negative numbers.
All the properties
of square roots extend to radicands containing complex numbers.
numbers satisfy the commutative and associative properties for
addition and multiplication.
To divide one
complex number by another one, write the division as a fraction.
Then multiply numerator and denominator of this fraction by the
complex conjugate of the denominator.
Imaginary and Complex Numbers
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.