Mathematical visualization

Calculus and differential equations

• Slope and the tangent line
• A numerical integrator
• Riemann sums
• Error in Riemann sums
• The normal distribution
• The geometric series
• Taylor series
• A solid of revolution
• Intersecting Cylinders
• My tent
• Integration versus differentiation
• Motion in a central field
• Lorenz's experiment

Trigonometry

• The unit circle
• The graph of the sine function
• Water waves

Complex dynamics

• The complex square function
• Interactive basins of attraction
• Julia sets and the Mandelbrot set
• Polynomial Julia sets
• Rational Julia sets
• Newton's method for complex polynomials
• The negabrot set
• The inverse quadratic camera
• Mobius transformations revealed

Fractals

• Bowls of Integers
• Antoine's Necklace
• IFS Visualizer

Data

• Grade flow
• Interdisciplinary teaching at UNCA
• Employee demographics at UNCA
• Correlating statistics to wins and losses in college football
• Normal models

Eigenbrackets

Using linear algebra to seed your March Madness tournament brackets

• A little theory
• 2016
• 2017

Miscellaneous

• The dance of Earth and Venus
• The x^x spindle