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Chaos and Fractals

Day 1 (Mon) Introduction
●morning: welcome, Meet a new friend Bingo, Honor code, pre -assessment
●afternoon: movie (Colors of Infinity)
●evening: discussion, building large Sierpinski Triangle, reading

Day 2 (Tue) Fractals I: geometric iteration
●morning: Geometric iteration, Fractals generated by removals
●afternoon: Growing fractals
●evening: homework, reading

Day 3 (Wed) Chaos I: numerical iteration
●morning: Numerical iteration
●afternoon: Types of fixed points
●evening: discussion about projects

Day 4 (Thu) Chaos II: graphical iteration
●morning: graphical iteration , web graphs
●afternoon: logistic population growth model
●evening: hw

Day 5 (Fri) Chaos III: nonlinear iteration
●morning: nonlinear iteration, quadratic function , computer lab for projects
●afternoon: topic posters

(Sun)
evening: The Proof, movie and discussion

Day 6 (Mon) Review I
●morning: nonlinear iteration, last week's topics review
●afternoon: computer lab, playing with applets
●evening: HW/reading/working on projects

Day 7 (Tue) Fractals II: self-similarity
●morning: review test, self-similarity
●afternoon: multiple reduction copy machine
●evening: computer lab, working on projects

Day 8 (Wed) Fractals III: from randomness to order
●morning: random iteration and the chaos game
●afternoon: other chaos games
●evening: building 3D Sierpinski Tetrahedron, working on projects

Day 9 (Thu) Fractals IV: fractal dimension
●morning: fractal dimension
●afternoon: continued
●evening: inverse fractal dimension problem, preparing for midterm projects

Day 10 (Fri) Chaos IV: entering the realm
●morning: chaos from non- linear iteration , sensitivity to initial conditions, the butterfly effect
●afternoon: project midterm reviews

(Sun)
●evening: movie (War Games)

Day 11 (Mon) Review II
●morning: review of last week's topics and projects
●afternoon: review test
●evening: seeing chaos, the play-doh game

Day 12 (Tue) Chaos VI: advanced topics
●morning: the orbit diagram
●afternoon: computer lab, chaos games, working on projects
●evening: working on projects/reading

Day 13 (Wed) Fractals IV: advanced topics
●morning: perimeters and areas
●afternoon: fractals in nature
●evening: movie An Inconvenient Truth, discussion

Day 14 (Thu) Fractals V: Mandelbrot and Julia Sets
●morning: post-assessment, SPEs, complex numbers
●afternoon: Mandelbrot and Julia Sets
●evening: computer lab, finishing projects

Day 15 (Fri) Projects Presentation
●morning: project presentations

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