Three-Dimensional Space: Lines and 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 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.