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lecture 16 - complex numbers

lecture 16 - complex numbers - Announcements Prayer...

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Announcements 2/11/11 Prayer Exam 1 ends on Tuesday night Lab 3: Dispersion lab – computer simulations, find  details on class website a. “Starts” tomorrow, due next Saturday… but we  won’t talk about dispersion until Monday, so I  recommend you do it after Monday’s lecture. Taylor’s Series review: a. cos(x) = 1 – x 2 /2! + x 4 /4! – x 6 /6! + … b. sin(x) = x – x 3 /3! + x 5 /5! – x 7 /7! + … c. e x  = 1 + x + x 2 /2! + x 3 /3! + x 4 /4! + … d. (1 + x) n  = 1 + nx + …
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Reminder What is  ϖ ? What is k?
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Reading Quiz What’s the complex conjugate of: a.   b.   c.   d.     1 3 4 5 i i + - 1 3 4 5 i i + - 1 3 4 5 i i - - 1 3 4 5 i i + + 1 3 4 5 i i - +
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Complex Numbers – A Summary What is “i”? What is “-i”?   The complex plane Complex conjugate a. Graphically, complex conjugate = ?
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