Includes index.

One-variable calculus : foundations, p.10 -- One- variable calulus : applications, p.39 -- One-variable caluculus : cain rule, p.70 -- Exponents and lagarithms, p.82 -- Introduction to linear Algebra, p.107 -- Systems of linear Equations, p.122 -- Matrix Algebra, p.153 -- Determinants :an overview, p.188 -- Euclidean spaces, p.199 -- Linear independence, p.237 -- Limits and open sets, p.253 --Functions of several variables, p.273 -- Calculus of several variables, p.300 -- Implicit functions and their derivatives, p.334 -- Quadratic forms and definite matrices, p.375 -- Unconstrained optimization, p.396 -- Constrained optimization l : first oder conditions, p.411 -- Constrained optimization ll, p.488 -- Homegoneous and Homothetic functions, p.483 --Concave and quasiconcave functions, p.505 -- Ecomonic applications, p.544 -- Eignvalues and eigenventors, p.579 -- Ordeinary differential equations : scalar equations, p.633Ordinary diferential equations : systms of equations, p.674 -- Determinants : the details, p.719 -- Subpaces attached to a matrix, p.750 -- aplications of linear independence, p.779 -- Limist and compact sets, p.803 -- Calculus of several variables ll, p.822 -- Sets, numbers, and proofs, p.847 -- Trigonometric functions, p.859 -- Complex numbers, p.876 -- Integral calculus, p.887 -- introduction to probality, p.894.