PART I Introduction 1-introduction, 2-One-Variable Calculus: Foundations, 3-One-Variable Calculus: Applications, 4-One-Variable Calculus:Chain Rule, Exponents and Logarithms. PART II Linear Algebra 6-Introduction to Linear Algebra, 7-System of Linear Equations, 8-Matrix Algebra, 9-Determinants: An Overwiev, 10-Euclidean Spaces, 11-Linear Indepence. Part III Calculus of Several Variables 12-Limits and Open Sets, 13-Functions of Several Variables, 14-Calculus of Several Variables, 15-Implicit Functions and Their Derivatives. PART IV Optimization 16-Quadratic Forms and Definite Matrices, 17-Unconstrained Optimization, 18-Constrained Optimization I: first Order Conditions, 19-Constrained Optimization II, 20-Homogeneous And Homothetic Functions, 21-Concave and Quasiconcave Functions, 22-Economic Applications, PART V 23-Eigenvalues abd Eigenvectors, 24-Ordinary Differential Equations: Scalar Equations, 25-Ordinary Differential Equations: Systems of Equations, PART VI 26-Determinants: The Details, 27-Subspaces Attached to a Matrix, 28-Applications of Linear Independence, PART VII 29-Limits and Compacts Sets, 30-Calculus of Several Variables II, PART VIII