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PERIODIC FUNCTIONS

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PERIODIC FUNCTIONS. See geo sketch pad (Note: We work in degrees and radians!!). Making electricity is easy!. Dude your ridin’ a sine wave!!!. MUSIC!. Predator vs. Prey. Periodic Waves. y = Asin (B( x-c ))+D Remember our function transformations ! Af (x) f( bx ) f( x-c ) - PowerPoint PPT Presentation

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Page 1: PERIODIC FUNCTIONS

PERIODIC FUNCTIONS

Page 2: PERIODIC FUNCTIONS

• See geo sketch pad• (Note: We work in degrees and radians!!)

Page 3: PERIODIC FUNCTIONS

Making electricity is easy!

Page 4: PERIODIC FUNCTIONS
Page 5: PERIODIC FUNCTIONS
Page 6: PERIODIC FUNCTIONS
Page 7: PERIODIC FUNCTIONS
Page 8: PERIODIC FUNCTIONS
Page 9: PERIODIC FUNCTIONS
Page 10: PERIODIC FUNCTIONS

Dude your ridin’ a sine wave!!!

Page 11: PERIODIC FUNCTIONS
Page 12: PERIODIC FUNCTIONS

MUSIC!

Page 13: PERIODIC FUNCTIONS
Page 14: PERIODIC FUNCTIONS
Page 15: PERIODIC FUNCTIONS

Predator vs. Prey

Page 16: PERIODIC FUNCTIONS
Page 17: PERIODIC FUNCTIONS

Periodic Waves

Page 18: PERIODIC FUNCTIONS
Page 19: PERIODIC FUNCTIONS
Page 20: PERIODIC FUNCTIONS

• y = Asin(B(x-c))+D

• Remember our function transformations! • Af(x)• f(bx)• f(x-c)• f(x)+d

Page 21: PERIODIC FUNCTIONS
Page 22: PERIODIC FUNCTIONS

MATHEMATICAL MODELLING!

Page 23: PERIODIC FUNCTIONS

Finding a function to fit the data

Page 24: PERIODIC FUNCTIONS

Cool stuff• http://astro.unl.edu/classaction/animations/lunarcycles/tidesim.html

• http://www.youtube.com/watch?v=s9GBf8y0lY0

• http://www.youtube.com/watch?v=YiHP8EG_Wq4

• http://www.youtube.com/watch?v=HpovwbPGEoo

• Sine wave animation 3D

http://astro.unl.edu/classaction/animations/lunarcycles/tidesim.html
http://astro.unl.edu/classaction/animations/lunarcycles/tidesim.html
http://www.youtube.com/watch?v=s9GBf8y0lY0
http://www.youtube.com/watch?v=YiHP8EG_Wq4
http://www.youtube.com/watch?v=HpovwbPGEoo
http://en.wikipedia.org/wiki/Sine_wave

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