# Mathematical visualization

## Calculus and differential equations

- The unit circle
- The graph of the sine function
- 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

## 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

## Data

- 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