| Content: |
Multivariable functions; limits, continuity, partial derivatives, directional derivatives, gradient vector, tangent plane, normal line equation, linearization and differentiability, maxima and minima of multivariable functions, Lagrange multiplier method, Taylor's formula, double and triple integrals, change of variables and applications of multivariable integrals, generalized multivariable integrals, line integrals, vector fields, path independence, potential functions, fundamental theorems of line integrals, Green's theorem in the plane, surface area and surface integrals, Stokes' theorem, and the Divergence (Gauss) theorem. |