Three-Dimensional Space: vectors, lines, planes. Vector-Valued Functions: calculus of vector-valued functions, arc length parameterization, unit tangent vector, unit normal vector, binormal vector, and curvature. Partial Derivatives: limits and continuity, partial derivatives, chain rule, gradient and directional derivatives, Lagrange multipliers. Multiple and Triple Integrals: double integral over (non)rectangular regions, double integral in polar coordinates, applications (area, surface area, and volume), triple integral over (non)rectangular solids, triple integral in cylindrical and spherical coordinates, application (volume). Vector Calculus: line integrals, independence of path; conservative vector fields, and Green's Theorem.