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【生肉】+ Multivariable calculus+(可汗学院) 上

6199
36
2018-01-02 11:21:48
62
20
356
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youtube.com 可汗学院出的多变量微积分，讲的很好，如果有侵权之类的事由，我会立刻删除 一共175P，这是前100P
数学
大怪兽学长 发消息
专业：数学 物理 编程 爱好：音乐（钢琴）游戏
视频选集
（85/100）
1 Multivariable functions Khan Academy
06:02
2Representing points in 3d Khan Academy
06:38
3 Introduction to 3d graphs Khan Academy
07:06
4 Interpreting graphs with slices Khan Academy
05:37
5 Contour plots Khan Academy
05:35
6 Parametric curves Khan Academy
05:50
7Parametric surfaces Khan Academy
06:20
8 Vector fields, introduction Khan Academy
05:05
9 Fluid flow and vector fields Khan Academy
03:34
10 3d vector fields, introduction Khan Academy
05:09
11 3d vector field example Khan Academy
04:03
12Transformations, part 1 Khan Academy
05:16
13Transformations, part 2 Khan Academy
04:38
14Transformations, part 3 Khan Academy
03:29
15Partial derivatives, introduction
10:56
16Partial derivatives and graphs
06:54
17Partial derivatives and graphs
06:54
18Symmetry of second partial derivatives
07:02
19Gradient
05:30
20Gradient and graphs
06:10
21Directional derivative
07:14
22Directional derivative, formal definition
06:38
23Directional derivatives and slope
08:49
24Why the gradient is the direction of steepest ascent
10:32
25Gradient and contour maps
06:17
26Gradient and contour maps
06:17
27Derivative of a position vector valued function Khan Academy
14:45
28Differential of a vector valued function Khan Academy
05:03
29Vector valued function derivative example Khan Academy
12:45
30Multivariable chain rule
09:32
31Multivariable chain rule intuition
07:46
32Vector form of the multivariable chain rule
05:24
33Multivariable chain rule and directional derivatives
06:41
34More formal treatment of multivariable chain rule
11:55
35Curvature intuition
04:11
36Curvature formula, part 1
06:05
37Curvature formula, part 2
07:06
38Curvature formula, part 3
08:37
39Curvature formula, part 4
08:34
40Curvature formula, part 5
07:46
41Curvature of a helix, part 1
06:27
42Curvature of a helix, part 2
07:19
43Curvature of a cycloid
04:42
44Computing the partial derivative of a vector-valued function
02:17
45Partial derivative of a parametric surface, part 1
09:29
46Partial derivative of a parametric surface, part 2
07:02
47Partial derivatives of vector fields
08:34
48Partial derivatives of vector fields, component by component
07:31
49Divergence intuition, part 1
06:20
50Divergence intuition, part 2
05:28
51Divergence formula, part 1
03:38
52Divergence formula, part 2
06:04
53Divergence example
04:10
54Divergence notation
04:48
55 2d curl intuition
03:53
56 2d curl formula
05:43
57 2d curl example
05:39
58 2d curl nuance
05:00
59Describing rotation in 3d with a vector
06:06
60 3d curl intuition, part 1
05:50
61 3d curl intuition, part 2
08:17
62 3d curl formula, part 1
07:40
63 3d curl formula, part 2
06:12
64 3d curl computation example
05:35
65 Laplacian intuition
05:31
66 Laplacian computation example
05:21
67 Explicit Laplacian formula
04:03
68 Harmonic Functions
10:55
69 Jacobian prerequisite knowledge
09:21
70 Local linearity for a multivariable function
05:23
71 The Jacobian matrix
06:22
72 Computing a Jacobian matrix
03:53
73 The Jacobian Determinant
08:53
74 What is a tangent plane
03:20
75 Controlling a plane in space
10:39
76 Computing a tangent plane
09:40
77 Local linearization
09:12
78 What do quadratic approximations look like
04:41
79 Quadratic approximation formula, part 1
07:09
80 Quadratic approximation formula, part 2
09:49
81 Quadratic approximation example
12:09
82 The Hessian matrix
06:10
83 Expressing a quadratic form with a matrix
08:19
84 Vector form of multivariable quadratic approximation
08:34
85 Multivariable maxima and minima
08:04
86 Saddle points
05:50
87 Warm up to the second partial derivative test
11:36
88 Second partial derivative test
11:52
89 Second partial derivative test intuition
10:43
90 Second partial derivative test example, part 1
06:10
91Second partial derivative test example, part 1
06:10
92Constrained optimization introduction
06:29
93Lagrange multipliers, using tangency to solve constrained optimization
08:42
94Finishing the intro lagrange multiplier example
06:38
95Lagrange multiplier example, part 1
07:50
96Lagrange multiplier example, part 2
06:50
97 Lagrange multiplier example, part 2
06:50
98 Meaning of Lagrange multiplier
10:07
99 Proof for the meaning of Lagrange multipliers
17:19
100 Introduction to the line integral Khan Academy
18:48

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