I PRELIMINARIES 1 Essentials of Logic and Set Theory2 Algebra3 Solving Equations4 Functions of One Variable5 Properties of FunctionsII SINGLE-VARIABLE CALCULUS 6 Differentiation7 Derivatives in Use8 Concave and Convex Functions9 Optimization10 Integration11 Topics in Finance and DynamicsIII MULTI-VARIABLE ALGEBRA 12 Matrix Algebra13 Determinants, Inverses, and Quadratic FormsIV MULTI-VARIABLE CALCULUS 14 Multivariable Functions15 Partial Derivatives in Use16 Multiple IntegralsV MULTI-VARIABLE OPTIMIZATION 17 Unconstrained Optimization18 Equality Constraints19 Linear Programming20 Nonlinear Programming