◊ 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. ◊ Minibreakfast: 8:30 a.m. School day: 9:00 a.m. to 3:30 p.m.
WednesdayMorning Iterating linear functions: introduction to dynamical systems Welcome Staircase sums Sequences and series Iterating nonlinear functions: chaos Graphing concepts Domain and range analysis
Function diagrams: a parallel axes representation
Inverse function, composition of functions
Doctor Dimension: visualizing rate of change
Introduction to specific functions:
Exponential
rolling dice
Exponential growth and decay
Logarithmic
Other bases
Recognizing functions from tables
Inverse variation
Polynomial and rational functions
Endbehavior analysis of nonrational functions
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
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
Proof by mathematical induction Fibonacci explorations
Closing
