Complex NUMBERS
Polar Form of Complex Numbers
Rev.S08
Learning Objectives
Upon completing this module, you should be able to:
1.
Identify and simplify imaginary and complex
numbers.
Add and subtract
Complex NUMBERS
Polar Form of Complex Numbers
Rev.S08
Learning Objectives
Upon completing this module, you should be
able to:
1. Identify and simplify imaginary and complex
numbers.
2. Add and subtrac
The Complex
Plane;
DeMoivre's
Theorem
Remember a complex number has a real part and an
imaginary part. These are used to plot complex
numbers on a complex plane.
z x yi
z x y
2
Imaginary
Axis
2
z x yi
The Complex
Plane;
DeMoivre's
Theorem
Remember a complex number has a real part and an
imaginary part. These are used to plot complex
numbers on a complex plane.
z x yi
2
z x y
Imaginary
Axis
z
x
2
z
Adding, Subtracting, Multiplying
And Dividing Complex Numbers
Describe any number in the complex number system.
Complex Numbers (a + bi)
Natural (Counting) Numbers
Imaginary #s(-1)
Was an Italian math
Introduction to Complex Numbers
(-1)
Adding, Subtracting, Multiplying
And Dividing Complex Numbers
Describe any number in the complex number system.
Complex Numbers (a + bi)
Natural (Counting) Number
Section 3
1
Definition of a function
A function is a rule which takes an element from a set
and maps it to a UNIQUE element in another set.
2
Function terminology
f maps R to Z
Domain
R
f
Z
Co-domain
Section 2
1
Introduction
Certain combinations of relation properties are very useful
We wont have a chance to see many applications in this course
In this set we will study equivalence relations
A
Functions
Section 3
1
Definition of a function
A function is a rule which takes an element
from a set and maps it to a UNIQUE element
in another set.
2
Function terminology
f maps R to Z
Domain
R
f
Z
Set Theory
Section 1
1
Set Theory - Definitions and notation
A set is an unordered collection of objects referred to as
elements.
A set is said to contain its elements.
Different ways of describing
Equivalence Relations
Section 2
1
Introduction
Certain combinations of relation properties are
very useful
We wont have a chance to see many applications in this
course
In this set we will study equi
Section 1
1
Set Theory - Definitions and notation
A set is an unordered collection of objects referred to as elements.
A set is said to contain its elements.
Different ways of describing a set.
1