GRADE ELEVEN: the required elements

• Topics:
  • Chaos theory
  • Cantor sets
  • Fractals
  • Noneuclidean geometry
  • Complex numbers
  • Vectors, matrices
• Practice:
  • Computer simulations
• Suggested Integrative Projects (one required):
  1. Foundations of Calculus, Dedekind's real numbers.
  2. Flatland, differential geometry of curves and surfaces.
  3. German vs. French math styles of thought, Hilbert's program, Godel's Proof, Carnap and the Vienna Circle.
  4. Hertz, radio waves, the field concept, vectors, Maxwell's equations.
  5. Hamilton, quaternions, Minkowski, Poincare, Einstein, and the ether.
  6. Vibrating strings and quantum mechanics, particles vs. waves.
  7. Math and War: Lewis Frye Richardson, the birth of politicometrics, Gregory Bateson, cybernetics.
  8. Cybernetics, Von Neuman, game thory, the prisoner?s dilemma, the atomic bomb.