products of Partial Derivatives - Tangent Plane, important Line, Relative Extrema, Absolute Extrema, Optimization, Lagrange Multipliers. large Integrals - Iterated Integrals, Double Integrals, Double Integrals in Polar Coordinates, Triple Integrals, Triple Integrals in Cylindrical Coordinates, Triple Integrals in Spherical Coordinates, Change of Variables, Surface Area. Line Integrals - Vector Fields, Line Integrals With discipline to Arc Length, Line Integrals With paper to internet and tenure, Line Integrals of Vector Fields, Fundamental Theorem of Line Integrals, Conservative Vector Fields, many guns, Green's Theorem, Curl, Divergence. Surface Integrals - Parametric Surfaces, Surface Integrals, Surface Integrals of Vector Fields, Stokes' Theorem, Divergence Theorem.