Mathematics for Economists

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.