 CornellNotesComplexNumbersEXAMPLE.doc

## CORNELL NOTES

### SHEET

Name: ________John Doe_________________________

Class: ___MAC1105___________ Topic: _Complex Numbers___

Date: ____01___/ _04___/ __2022____

Period _Spring 2022___

## NOTES

The imaginary unit is denoted by the letter “i”, and i = sqrt (-1)

Addition: (3 + 3i) + (2 – i) = 3 + 3i + 2 – i = 5 – 2i

Subtraction: (4 + 3i) – (-2 – 5i) = 4 + 3i + 2 + 5i = 6 + 8i

Why were called imaginary?

Multiplication: 4( 3 + 2i) = 4(3) + 4(2i) = 12 + 8i

Who introduced the complex

Complex conjugate of a + bi is a - bi

numbers in Math?

Division: 3/(2 + i) = 3(2 -i)/(2+i)(2-i) = (6 – 3i)/ (4 +1) = (6 – 3i)/5 =

= 6/5 – 3i/5

How are complex numbers

used in real life?

Powers of i: i^ 21. Divide 21 by 4, the remainder 1 is the new exponent, so

I^21 = i^1 = i

SUMMARY: Write 4 or more sentences describing specific learning from these notes.

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__I learned what a complex number is; the different operations that we can perform: addition, subtraction, _

__multiplication, division, and powers of i. _______________________________________________

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