Schedule: St Louis

◊ This is a tentative schedule, based on my 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 each day.
◊ Breakfast: 8:30 a.m. School day: 9:00 a.m. to 3:30 p.m.


Thursday

Morning

Iterating linear functions: introduction to dynamical systems
Staircase sums: teacher-level exploration of a problem with multiple entry points for students 
Sequences and series, made more accessible and interesting by the above introduction
Iterating non-linear functions: chaos
Doctor Dimension: visualizing rate of change 

Afternoon

Concrete introduction to functions:
    
Exponential, logarithmic 
    Trigonometric
    Inverse variation
    Square root, absolute value
A more accessible approach to transformations 


Friday

Morning

Function diagrams: a parallel axes representation
    Inverse function, composition of functions
    Guess my function

Geometry of the parabola, using interactive geometry software
    Construction, reflection property
    All parabolas are similar
    Conic section proof 

Afternoon

Complex numbers: a kinesthetic and visual approach
Proof by mathematical induction, based on visual patterns and sequences