Author Description

One-variable calculus: foundations - One-variable calculus: applications - One-variable calculus: chain rule - Exponents and logarithms - Introduction to linear algebra - Systems of linear equations - Matrix algebra - Determinants: an overview - Euclidean spaces - Linear independence - Limits and open sets - Functions of several variables - Calculus of several variables - Implicit functions and their derivatives - Quadratic forms and definite matrices - Unconstrained optimization - Constrained optimization I: first order conditions - Constrained optimization - Homogeneous and homothetic functions - Concave and quasiconcave functions - Economic applications - Eigenvalues and eigenvectors - Ordinary differential equations: scalar equations - Ordinary differential equations: systems of equations - Determinants: the details - Subspaces attached to a matrix - Applications of linear independence - Limits and compact sets - Calculus of several variables.