Statistics, probability, and stochastic processes. Interactive online multiple regression package. Hypotheses testing and random walks. Example — Predict Canadian Elections.
Microeconomics Models: Oligopoly / Public Firm Model, Differentiated Oligopoly, Monopolistic Competition, and Production Function Microeconomic Models. Macroeconomics Models: Basic Macroeconomic IS-LM & AD-AS Models of the Canadian Economy with Comparative Statics. Dynamic and interactive. International Economics: The Benefits of International Trade
Online Linear Programming Solvers: Simplex and Dual Simplex Algorithms. Example solves a two-person game. Solve your own LP problem. Play a two person zero sum game online. Create your own two person game. Solve the "Battle of the Sexes" Cooperative Game with Nash Strategies. Is there a dilemma in "Prisoner's Dilemma?" Free-rider problem and game of chicken. Metagame example a la Nigel Howard.
Linear Algebra: polynomials, vectors, matrices, linear equations, and linear differential equations. Discover the important methods used to decompose a matrix. Use the Gram-Schmidt process to compute orthogonal vectors. Use singular value decomposition to solve systems of equations.
Nonlinear Dynamics: Continuous and discrete time models of dynamic processes. Analysis of stability and bifurcations. The logistic map and period doubling chaos, with interactive diagrams.
3D-Geometry on the Web! Point-of-View! Perspective — 3D-House, Trajectory of a Projectile, Trigonometric and Hyperbolic Functions, Space Curves.
Solve Optimal Control Theory Problems. Learn how to use the Pontryagin Maximum Principle — Rocket car, missile intercept, linearized pendulum (harmonic oscillator), and linear-quadratic regulator problems.
Topics in Astronomy and Cosmology