Includes index.

Contents: Introduction -- Plotting -- Three dimensional space -- Graphs of functions of three variables and level surfaces -- Vectors -- Partial derivatives -- Local linearity and the differential -- Directional derivatives and gradient vectors -- Second order partial derivatives and quadratic approximations -- Maxima, minima and saddle points -- Lagrange multipliers -- Double integral -- Triple integral -- Numerical integration: the monte carlo method -- Double integrals in polar coordinates -- Integration in cylindrical and spherical coordinates -- Change of variables in a double or triple integral -- Parametric curves and velocity vectors -- Parametric surfaces -- Vector fields and flow -- Line integrals -- Conservative vector fields and green's theorem -- Flux integrals -- The Divergence and the divergence theorem -- The Curl and stokes' theorem.