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
Staircase sums
Sequences and series
Iterating non-linear functions: chaos
Doctor Dimension: visualizing rate of change

Afternoon

Concrete introduction to functions:

Exponential
Exponential growth and decay
Logarithmic
Other bases
Recognizing functions from tables
Inverse variation

Thursday

Morning

Graphing: emphasizing concepts
Domain and range analysis
End-behavior analysis
Transformation of graphs
Name That Graph
Function diagrams: a parallel axes representation
Inverse function, composition of functions
Guess my function

Afternoon

Trigonometry
the 10cm circle
Basic identities
Law of Sines, Law of Cosines
Polar coordinates, polar graphs
Complex numbers: a kinesthetic and visual approach
Matrices, based on transformations

Friday

Morning

Geometry of the conic sections, using interactive geometry software
Construction, reflection property
All parabolas are similar
Conic section proof
Loose ends and selected topics

Afternoon

Binomial expansion
Proof by mathematical induction
Fibonacci explorations