2000 Summer Session 3
3-1 Construct the graph of sin(x) with x ranging in [0, 2[Maple Math]]
 

3-2  Draw a circle given by the parametric equations

x=cos(t), y=sin(t), t[Maple Math][0,2[Maple Math]]

3-3 Draw the graphs of the first three Chebyshev polynomials in the interval [-1,1]


3-4 Draw one pretty leaf



 
 

[Maple Plot]
3-5 Draw the graphs of the polynomials given by the binomial expansions

 


3-6 Construct this pattern of the "sunflower"
Reference: T. Cook: The Curves of Life.
3-7 Construct the graph given in ploar coordinates by r=cos(7t/2)+1/4 where t=0 to 4Pi

3-8 Construct this interesting drawing

Reference: William F. Rigge, Envelope Rosettes, Amer. Math. Monthly, (1920), p. 152.

3-9  Draw this interesting pattern
[Maple Plot]

Reference: William F. Rigge, Envelope Rosettes, Amer. Math. Monthly, (1920), p. 154.

3-10 Draw this interesting pattern
[Maple Plot]


3-11  Construct a gif file animating the function
f(x,t) = sin (x + t)