The Taylor expansion of function of two variables, Extremums of functions of two variables, Change of variables and vector fields, Geometric interpretation of partial derivatives, Double integrals, Change of variables of double integrals, Area, volume and center of mass by double integration, Triple integrals, Evaluations of triple integrals by spherical and cylindrical coordinates, Volume and center of mass by triple integration, Line integrals (line integrals of scalar and vector fields), Fundamental theorems and applications of line integrals, Surface integrals, Fundamental theorems and applications of surface integrals