2.1 Complex Numbers.

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Presentation transcript:

2.1 Complex Numbers

The number i is the basic unit for imaginary numbers Imaginary numbers are not “make believe”. Imaginary numbers have practical “real world” applications, such as electricity and fluid dynamics. For many years people didn’t believe the solution to an equation could be less than zero. Today we call those numbers negative.

Can’t Simplify

The Complex Conjugate of a number a+bi is a-bi. Multiplication of a number and its complex conjugate results in a real number.

The Complex Conjugate of a number a+bi is a-bi. Multiplication of a number and its complex conjugate results in a real number.

Divide and express result in a+bi form or standard form

Divide and express result in a+bi form or standard form

Day 1 P 298 3, 5, 17, 19, 25, 27, 31, 32, 41

Evaluate for x= 1 – i

Show 3+i is a solution to the equation

Day 2 P 298 4, 6, 18, 20, 26, 28, 36, 42, 46, 48, 50, 57, 58