The nature of mathematical economics -- Economic models -- Equilibrium analysis in economics -- Linear models and matrix algebra -- Linear models and matrix algebra (continued) -- Comparative statics and the concept of derivative -- Rules of differentiation and their use in comparative statics -- Comparative-static analysis of general-function models -- Optimization : a special variety of equilibrium analysis -- Exponential and logarithmic functions -- The case of more than one choice variable -- Optimization with equality constraints -- Further topics in optimization -- Economic dynamics and integral calculus -- Continuous time : first-order differential equations -- Higher-order differential equations -- Discrete time : first-order difference equations -- Higher-order difference equations -- Simulationeous differential equations and difference equations -- Optimal control theory