The Beauty of Roots
The above graphic shows all of the complex roots of all polynomials with degree 24 and coefficients of +1 or -1.
The circle has radius 1, and is centred at (0,0). Isn't math beautiful?
Warm Up and Questions from the Homework
a) Simplify
b) Simplify
Announcements
- Student Feedback on Instruction (SFI) on Wednesday
- Next quiz Thu, Apr 4 (3.1, 8.3-8.4 Complex Numbers, Polar or Trigonometric Form)
- Next unit exam Thu, Apr 18 (55 minutes, in class)
- Summary of Studying (SOS) must be completed to write unit exam
Notes
Homework
8.3 #1-11, 33-43
Tomorrow - 8.4 Polar Coordinates
Preread 8.4
For more information
http://patrickjmt.com/expressing-a-complex-number-in-trigonometric-or-polar-form-ex-1/
http://patrickjmt.com/expressing-a-complex-number-in-trigonometric-or-polar-form-ex-2/
http://patrickjmt.com/expressing-a-complex-number-in-trigonometric-or-polar-form-ex-3/
http://patrickjmt.com/complex-numbers-convert-from-polar-to-complex-form-ex-1/
http://patrickjmt.com/complex-numbers-multiplying-and-dividing-in-polar-form-ex-1/
http://patrickjmt.com/complex-numbers-multiplying-and-dividing-in-polar-form-ex-2/
http://patrickjmt.com/expressing-a-complex-number-in-trigonometric-or-polar-form-ex-2/
http://patrickjmt.com/expressing-a-complex-number-in-trigonometric-or-polar-form-ex-3/
http://patrickjmt.com/complex-numbers-convert-from-polar-to-complex-form-ex-1/
http://patrickjmt.com/complex-numbers-multiplying-and-dividing-in-polar-form-ex-1/
http://patrickjmt.com/complex-numbers-multiplying-and-dividing-in-polar-form-ex-2/
Timing good, except didn't have time for adding in trig form. Also need to include definition a=rcos
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