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MTH301:微积分II

MTH301: Calculus II
课程网址: http://ocw.vu.edu.pk/CourseDetails.aspx?cat=Mathematics&course=MT...  
主讲教师: Dr. M. Anwar Rao
开课单位: 巴基斯坦虚拟大学
开课时间: 信息不详。欢迎您在右侧留言补充。
课程语种: 英语
中文简介:
三维几何导论。多元函数的极限、连续性和偏导数。向量。方向导数。与曲面相切的平面和法线。两个变量函数的最大值和最小值。函数极值的应用。在直角坐标系和极坐标下的双重积分。向量值函数。精确微分的积分。线积分。格林定理及其应用。向量的散度和旋度。标量场,向量场,体积和曲面积分。保守的领域。散度定理。傅里叶级数。拉普拉斯变换。
课程简介: Introduction to three dimensional geometry. Limits, continuity and Partial Derivatives of Multivariable Function. Vectors. Directional derivative. Tangent Planes and Normal Lines to the Surfaces. Maxima And Minima of Functions of two variables. Applications of Extrema of Functions. Double Integration in rectangular and polar coordinates. Vector Valued Functions. Integration of Exact differentials. Line integrals. Greens Theorem and its application. Divergence and Curl of a vector. Scalar Fields, Vector fields, Volume and Surface integrals. Conservative Fields. Divergence Theorem. Fourier Series. Laplace Transforms.
关 键 词: Calculus ; Analytical Geometry; math
课程来源: 巴基斯坦虚拟大学公开课
最后编审: 2020-10-01:yumf
阅读次数: 24