This course offers an introduction to mathematical models of economic behavior. Part I focuses on basic concepts in game theory, including best response analysis, Nash equilibria in pure and mixed strategies, simultaneous and sequential games, repeated games, and games with incomplete information. These concepts will be used to analyze various forms of economic competition. Part II applies the techniques of linear algebra, calculus, and optimal control theory to a wide range of micro and macroeconomic settings. Topics include comparative statics, multivariable and constrained optimization, and economic dynamics.