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5 Cards in this Set

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How are complex numbers represented?
Complex numbers are represented using the form a + bi, where a and b are real numbers and i is a simbol with the property that i^2 = -1.
What is the real and what is the imaginary part of complex numbers?
given a number a + bi, the real part is the real number a, and the complex part is the real number b.
How do you determine equality of complex numbers?
two complex numbers a + bi and c + di are equal iff a = c and b = d, that is, their real parts and imaginary parts are equal.
How do you do the sum and difference of two complex numbers? How do you do the product of a complex number?
The sum and difference are just done piecewise, real to real and imaginary to imaginary.

For the product of a complex number, the usual commutative and distributive laws still hold. However, remember that i^(2) is equal to -1!

(a+bi)*(c+di) = a*(c+di)+(bi)*(c+di) = ac + adi + bci + bdi^2 = (ac - bd) + (ad + bc)i
What is the Polar form of complex numbers?
z = r*cos(theta) + r*sin(theta)