Preface - Introductory concepts - Derivatives and their applications - Limits, growth rate and elasticity - Integrals and their applications in economics - First-order differential equations - Sequences, series, power series, Taylor expansions - Matrices, linear systems of equations and applications - Vector spaces, linear mappings - Functions of two or three variables - Optimization of multivariable functions - Economic applications - Comparative static analysis - Probabilities - Discrete random variables - Continuous random variables - Markov processes - Percentages, ratios - Fundamental concepts of finance - simple interest - Discounting negotiable instruments with simple interest - Compound interest - Rents, loans, bonds - Basic topological concepts - Applications with Matlab and Mathematica - Answers to exercises - Tables