Cornell Notes Quadratic Equations
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CornellNotesComplexNumbersEXAMPLE.doc
CORNELL NOTESSHEET |
Name: ________John Doe_________________________ Class: ___MAC1105___________ Topic: _Complex Numbers___ Date: ____01___/ _04___/ __2022____ Period _Spring 2022___
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QUESTIONS |
NOTES |
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The imaginary unit is denoted by the letter “i”, and i = sqrt (-1) |
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Addition: (3 + 3i) + (2 – i) = 3 + 3i + 2 – i = 5 – 2i |
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Subtraction: (4 + 3i) – (-2 – 5i) = 4 + 3i + 2 + 5i = 6 + 8i |
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Why were called imaginary? |
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Multiplication: 4( 3 + 2i) = 4(3) + 4(2i) = 12 + 8i |
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Who introduced the complex |
Complex conjugate of a + bi is a - bi |
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numbers in Math? |
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Division: 3/(2 + i) = 3(2 -i)/(2+i)(2-i) = (6 – 3i)/ (4 +1) = (6 – 3i)/5 = |
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= 6/5 – 3i/5 |
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How are complex numbers |
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used in real life? |
Powers of i: i^ 21. Divide 21 by 4, the remainder 1 is the new exponent, so |
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I^21 = i^1 = i |
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SUMMARY: Write 4 or more sentences describing specific learning from these notes. __________________________________________________________________________________________ __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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