高等数学B(II)
西安电子科技大学
主讲教师：于淼
| 课程章节 | | 文件类型 | | 大小 | | 备注 | |
| 1.1 电子版教材 |
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| 2.1 8.1-2 Vectors and their linear operations & multiplicative operations on vectors |
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| 2.2 8.3 Surfaces and their equations |
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| 2.3 8.4 Space lines and their equations |
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| 2.4 8.5 Surface equations |
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| 2.5 8.6 Space curves |
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| 2.6 8.7 Exercise class |
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| 3.1 9.1 Basic concepts of multivariable functions |
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| 3.2 9.2 partial derivatives |
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| 3.3 9.3 total differentials |
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| 3.4 9.4 Differentiation Rules of Multivariate Composite Functions |
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| 3.5 9.5 Differentiation of Implicit Functions |
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| 3.6 Exercise class 1 |
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| 3.7 9.6 Applications of differential calculus of multivariable functions in Geometric |
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| 3.8 9.7 Directional derivatives and gradient |
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| 3.9 9.8 The extremum of function of multiple variables and its solution |
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| 3.10 Exercise class 2 |
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| 4.1 10.1 The concept and property of double integrals |
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| 4.2 10.2 Computation of double integrals |
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| 4.3 10.3 Triple integrals |
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| 4.4 10.4 Application of multiple integarals |
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| 5.1 11.1 Line integrals w.r.t. arc lengths |
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| 5.2 11.2 Line integrals w.r.t. coordinates |
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| 5.3 11.3 Green's formula and applications |
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| 5.4 11.4 Surface integrals of with respect to acreage |
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| 5.5 11.5 surface interals with respect to coordinates |
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| 5.6 11.6 Gauss formula |
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| 5.7 11.7 Stokes formula |
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| 6.1 12.1 Concepts and properties of series with constant terms |
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| 6.2 12.2 Convergence tests for series with constant terms |
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| 6.3 12.3 Power series |
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| 6.4 12.4 Expansion of functions into power series |
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| 6.5 12.5 Application of power series expansion of function |
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| 6.6 12.7 Fourier series |
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| 6.7 12.8 Fourier series of general functions |
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| 7.1 第八章 |
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| 7.2 第九章 |
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| 7.3 第十章 |
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| 7.4 第十一章 |
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| 7.5 第十二章 |
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| 8.1 第八章 |
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| 8.2 第九章 |
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| 8.3 第十章 |
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| 8.4 第十一章 |
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| 8.5 第十二章 |
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| 8.6 2022年视频回放 |
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