April 12, 2016
Obj: To learn about the Complex Plane,
the Polar Form of Complex Numbers,
z1 = 1 - i
z2 = √3 + i
Multiplication and Division of Complex Numbers,
Powers of Complex Numbers
Find the product of z1z2 and quotient z1/z2 in two ways:
a. using the standard form
b. using the trig. form
z1 = 1 - i
z2 = √3 + i
April 12, 2016
Obj: To learn about the Complex Plane,
the Polar Form of Complex Numbers,
DeMoivre's Theorem
Multiplication and Division of Complex Numbers,
Powers of Complex Numbers
If z = r (cos θ + i sin θ) and n is a positive integer, then
n
z n= r [ cos
nθ + i sin nθ ]
Evaluate.
( -1 + √3 i )12
April 12, 2016
Obj: To learn about the Complex Plane,
the Polar Form of Complex Numbers,
Multiplication and Division of Complex Numbers,
HW:
Powers of Complex Numbers
(HR) (6.6) Pg.511: 3-9odd, 15-23odd, 27, 31, 33, 35