FURTHER
INVESTIGATION INTO COMPLEX NUMBERS
In a previous unit, we
described the fundamental properties and definitions associated with Complex
numbers. In addition, we practiced algebraic manipulations on these numbers,
learned to find their location on the Complex Plane, and we assigned values to
Complex numbers as vector magnitudes using the Pythagorean Theorem. In this unit,
we will explore the geometric interpretation of Complex numbers in more depth.
Particularly, we will interpret the four arithmetic operations of addition,
subtraction, multiplication, and division for Complex numbers geometrically on
the Complex plane. Later in the course, we will examine alternate methods for
graphing numbers and functions in general, and how these alternate methods can
help us interpret Complex numbers and functions in even greater depth.
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Operations with Complex Numbers |
Multiplying complex numbers |