Homework Solutions

Section 4.3

Section 4.2

Section 4.1

Section 5.7

Section 3.6 - 4a without using polar representation

Section 5.6

Section 3.5

Section 3.4

Section 5.5 - no solutions to post, but I'll post the c-values the others have found interesting. Try 0.157+0.2923i, 0.757+.0023i, 0.857-0.1023i, -0.387-0.51023i, -0.15+0.9991i, 0.3315+0.5451i,  0.0001-.75i, -2/3 + i/3, -(5/7) + 1/7 i, -10/13 +i/13, -10/13 + 2i/13, -1/3 + 2i/3, -5/7 + 2iI/7, -0.6121 + 0.438i, 0.4028 + .25i, 0.206 + 0.5515i,-0.8 + 0.156i, -0.75 + 0.11i, -0.1 + 0.8i, -0.1+i.

For non-quadratic functions try

JuliaSetPlot[-I*1.01 z^5 + 0.75, z],
JuliaSetPlot[(1 + 3 z^4)/(4 z^3) + 0.31, z],
JuliaSetPlot[.39 z^3 - .74, z],
JuliaSetPlot[1 - 0.75 z^2 + I*z^5/(2 + 4 z), z],
JuliaSetPlot[z^3 + 0.1/z, z ], z^3-(0.1-i), z^10 - (0.1-i).

Section 3.3

Section 3.2

Exam 2 - written - Mathematica

Section 3.1

Section 2.7

Section 5.4 (the Mathematica version - you'll need to load the cobwebs file first)

Section 2.6

Section 2.5

Section 5.3

Section 2.4

Section 2.3

Section 2.2

Section 2.1

Section 5.2

Exam 1

Section 5.1 (the Mathematica version)

Section 1.7

Section 1.6

Section 1.5

Section 1.4

Section 1.3

Section 1.2

Section 1.1 - Mmca file

Mathematica and Other Computer Files

Julia Sets in Mathematica (see the end of the cobwebs file)
Python Code For Julia Sets (saved as .txt file)

Sections 1.6-7

Section 1.5

Section 1.2

Section 1.1