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18.022多变量微积分18.022 Calculus of Several Variables |
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| 课程网址: | http://ocw.mit.edu/courses/mathematics/18-022-calculus-of-several... |
| 主讲教师: | Hartley Rogers |
| 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: |  |
| 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: | 向量代数; 行列式; 矩阵; 向量值函数; 空间运动; 标量函数; 局部微分; 梯度; 二重积分; 线积分; 精确微分; 守恒域; 格林定理 |
| 课程来源: | 麻省理工学院公开课 |
| 最后编审: | 2018-06-22：cmh |
| 阅读次数: | 62 |