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多变量微积分

18.022 Calculus of Several Variables
课程网址: http://ocw.mit.edu/courses/mathematics/18-022-calculus-of-several...  
主讲教师: Prof. James McKernan
开课单位: 麻省理工学院
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:
这是一门关于几个变量微积分的本科课程。它涵盖了微积分 ii (18.02) 中涵盖的所有主题, 但更深入地介绍了它们。这些主题是3空间中的向量代数、决定因素、矩阵、一个变量的向量值函数、空间运动、几个变量的标量函数、局部微分、梯度、优化技术、双积分、线积分在平面、精确微分、保守场、格林定理、空间中的三重积分、线和曲次、发散定理和斯托克斯定理中。18.02 中涉及的其他主题是几何、向量场和线性代数。
课程简介: This is an undergraduate course on calculus of several variables. It covers all of the topics covered in Calculus II (18.02), but presents them in greater depth. These topics are vector algebra in 3-space, determinants, matrices, vector-valued functions of one variable, space motion, scalar functions of several variables, partial differentiation, gradient, optimization techniques, double integrals, line integrals in the plane, exact differentials, conservative fields, Green's theorem, triple integrals, line and surface integrals in space, the divergence theorem, and Stokes' theorem. Additional topics covered in 18.022 are geometry, vector fields, and linear algebra.
关 键 词: 标量函数的偏微分; 梯度; 优化技术; 双重积分
课程来源: 麻省理工大学公开课
最后编审: 2016-03-17:cmh
阅读次数: 60