Review -- Economic applications of graphs and equations -- The derivative and the rules of differentiation -- Uses of the derivative in mathematics and economics -- Calculus of multivariable functions -- Calculus of multivariable functions in economics -- Exponential and logarithmic functions -- Exponential and logarithmic functions in economics -- Differentiation of exponential and logarithmic functions -- The fundamentals of linear (or Matrix) algebra -- Matrix inversion -- Special determinants and matrices and their use in economics -- Comparative statics and concave programming -- Integral calculus: the indefinite integral -- Integral calculus: the definite integral -- First-order differential equations -- First-order difference equations -- Second-order differential equations and difference equations -- Simultaneous differential and difference equations -- The calculus of variations -- Optimal control theory.