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Middle/High School - Grades 7-12
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R=Reference/Experiment   S=Sample Project
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Algebra
Fractals and Serpinski Triangle
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Define unknown mathematical operators
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Determine if there is a mathematical solution for the card trick known as The 11th Variation
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Calculus
Research the Leibniz and Newton calculus controversy
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The Solution of the Dirichlet Problem with Rational Boundary Data
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Find out which shape of a fixed perimeter encloses the largest area.
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Find out if the trapezoidal approximation or the midpoint approximation gives a more accurate result for the area under the curve.
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Chaos Theory
What is the effect of putting different variable values in the fractal "Mandel's" equation?
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Algebraic Topology
Investigates the root mean square expectation of the winding number.
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Mathematics & Music
Acoustic Music Similarity Analysis
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Discover if a mathematical pattern can be derived from the repetitive patterns in Beethoven's Fifth Symphony.
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The question of determinism vs. indeterminism in the examination of aleatory music
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It is known that musical notes can be created by sticking a glass of water filled to various heights. Is
it possible to mathematically calculate a musical note based upon the geometrics of a glass?
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Useful Links
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R=Reference
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Science Fair Projects Resources
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Mathematics Resources
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Citation Guides, Style Manuals, Reference
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