Complex Solutions Page

Complex Variables Texts

My Real Analysis Notes

Section 5.5 Code

Exam Three Mathematica File

Assignments Page

Section 1.1

Section 1.2

Section 1.3

Section 1.4

Section 1.5

Section 1.6

Section 1.7

Section 2.1

Exam 1, part I, part II

Section 2.2

Section 2.3

Section 2.4

Section 2.5

Section 2.6

Section 2.7

Exam 2

Section 3.1

Section 3.2

Section 3.3

Section 3.4

Section 3.5

Section 3.6

Section 4.1

Section 4.2

Section 4.3

Section 5.1 (the Mathematica version)

Section 5.2

Section 5.1-5.2 worksheet

Section 5.3

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

Section 5.5 - no solutions to post, but I'll post the c-values you 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 5.6

Section 5.7