Schedule

◊  This is a tentative schedule, based on our best estimate of how long things take. Topics may move or vanish.
◊  Because of the cumulative nature of some of the work, it is important to attend everything.
◊  We will start on time every day.
◊  Mini-breakfast: 8:30 a.m. School day: 9:00 a.m. to 3:30 p.m.

Wednesday

Morning

Iterating linear functions: introduction to dynamical systems
Welcome
Staircase sums
Sequences and series
Iterating non-linear functions: chaos
Graphing concepts

Domain and range analysis

Transformation of graphs

3d graphing basics

Afternoon

Function diagrams: a parallel axes representation

Inverse function, composition of functions

Guess my function

Doctor Dimension: visualizing rate of change 

Thursday

Morning

Introduction to specific functions:
Exponential
rolling dice
Exponential growth and decay
Logarithmic 
Other bases
Recognizing functions from tables
Inverse variation
Polynomial and rational functions
End-behavior analysis of non-rational functions

Afternoon

Trigonometry
the 10cm circle
Basic identities
Name That Graph
Polar coordinates, polar graphs
Parametric equations
Complex numbers: a kinesthetic and visual approach
Matrices, based on transformations

Friday

Morning

Binomial expansion  
Story Proofs
The Mad Probabilist
Loose ends
Geometry of the conic sections  
Construction, reflection property
All parabolas are similar
The ellipse is a conic section: proof

Afternoon

Proof by mathematical induction
Fibonacci explorations
Closing