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):
  • Foundations of Calculus, Dedekind's real numbers
  • Flatland, differential geometry of curves and surfaces
  • German vs. French math styles of thought, Hilbert's program, Godel's Proof, Carnap and the Vienna Circle.
  • Hertz, radio waves, the field concept, vectors, Maxwell's equations
  • Hamilton, quaternions, Minkowski, Poincare, Einstein, and the ether
  • Vibrating strings and quantum mechanics, particles vs. waves
  • Math and War: Lewis Frye Richardson, the birth of politicometrics, Gregory Bateson, cybernetics
  • Cybernetics, Von Neuman, game theory, the prisoner's dilemma, the atomic bomb
  • The shape of the Earth