微积分III:多变量微积分和几何

微积分的第三门标准课程. Topics include 极地 coordinates and 极地 curves; vectors and analytical geometry in three dimensions; vector-valued functions and curvature; components of acceleration; functions of several variables; limits and continuity in three-space; partial and directional derivatives; gradients, 切平面, and extreme of functions of two variables; multiple integrals in rectangular, 极地, 球形, and cylindrical coordinates; applications of multiple integrals to area, 体积, 时刻, 重心, 表面积.