Class 2: Functions

The idea of a 'function' is one of the most useful things in (visual) math. In this class we will look at these subtopics:

- functions as computation
- functions as graphs
- functions as blackboxes - multiple inputs, ONE output
- real-valued vs complex-valued etc. functions (input and output types)
- implicit vs explicit functions
- function composition
- slope, area under the curve
- classic function types: linear, polynomial, exponential/logarithmic, trigonometric
- Fourier, wavelets
- series summations
- inverse of functions
- ..

- delta function
- asymptotes
- functions using polar coords
- fns of multiple vars - eg. heightfield, other surfs..
- complex-valued etc. functions ("types")
- Riemann Hypothesis!!!!!!
- connection to Maya, Shake, Houdini, RMan etc. attrs, vars, params..
- slope, derivative
- continuous vs. discontinuous slopes, inflection points
- area, integral