Mathematics

  • Algebra I
  • Geometry
  • Algebra II
  • Pre-Calculus
  • Calculus I — Differentiation or Honors Calculus
  • Discrete Mathematics. Logic, mathematical induction sets, relations, and functions. Introduction to graphs, elementary number theory, combinatorics, algebraic structures, and discrete probability theory.
  • Fractals, Chaos, and Complexity Around Us. Concepts and applications of fractal geometry, nonlinear chaotic dynamics, and emerging complex systems. Emphasis on intuitive understanding of the concepts rather than rigorous formalism. Applications to various areas of science, engineering, and everyday life. Topics include percolation and flow through fractures, aggregation, self-scaling coastlines, fractal landscapes, chaotic chemical reactions, and pattern formation. Sponsoring department: Civil and Environmental Engineering.
  • Introduction to Programming with Matlab. Introduction to the constructs in the Matlab programming language, aimed at students who already have facility with computers and may have already done some programming. Array and matrix operations, functions and function handles, control flow, plotting and image manipulation, cell arrays and structures, and the Symbolic Mathematics toolbox.
  • Game Theory in the Social Sciences. A non-technical introduction to game theory. Basic principle, and models of interaction among players, with a strong emphasis on applications to political science, economics, and other social sciences.
  • Supervised Independent Study and Research. Open to students in good standing who, in consultation with a faculty sponsor, present a proposal with clearly formulated objectives and means of implementation.