◊ 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 Staircase sums Sequences and series Iterating nonlinear functions: chaosDoctor Dimension: visualizing rate of change Afternoon Concrete introduction to functions:
Exponential
Exponential growth and decay
Logarithmic
Other bases
Recognizing functions from tables
Inverse variation
Graphing: emphasizing concepts
Domain and range analysis
Endbehavior analysis
Transformation of graphs
Name That Graph
Function diagrams: a parallel axes representation
Inverse function, composition of functions
Guess my function
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
Geometry of the conic sections, using interactive geometry software
Construction, reflection property
All parabolas are similar
Conic section proof
Loose ends and selected topics
Binomial expansion Proof by mathematical induction Fibonacci explorations
