Calculus Blue Multivariable Volume 2 : Derivatives Part3
Calculus Blue Multivariable Volume 2 : Derivatives
https://www.youtube.com/watch?v=HS0mivVKLyo&list=PL8erL0pXF3JZZTnqjginERYYEi1WpLE_V
视频选集
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1. Calculus BLUE Volume 2 - Derivatives - INTRO
00:44
2. CalcBLUE 2 - PROLOGUE
03:22
3. CalcBLUE 2 - Ch. 1 - MULTIVARIATE FUNCTIONS - INTRO
00:34
4. CalcBLUE 2 - Ch. 1.1 - Graphs of Functions
01:14
5. CalcBLUE 2 - Ch. 1.2 - Visualizing Multivariate Functions
02:15
6. CalcBLUE 2 - Ch. 1.3 - Coordinate Transformations
01:13
7. CalcBLUE 2 - Ch. 1.4 - Multivariate Functions Everywhere
04:27
8. CalcBLUE 2 - Ch. 1.5 - Towards Rates of Change
00:46
9. CalcBLUE 2 - Ch. 1 - THE BIG PICTURE
00:21
10. CalcBLUE 2 - Ch. 2 - PARTIAL DERIVATIVES - INTRO
00:36
11. CalcBLUE 2 - Ch. 2.1 - Partial Derivatives
01:59
12. CalcBLUE 2 - Ch. 2.2 - Notations for Partial Derivatives
03:04
13. CalcBLUE 2 - Ch. 2.3 - Partial Derivatives & Slopes
01:59
14. CalcBLUE 2 - Ch. 2.4 - Derivatives & Rates of Change
04:03
15. CalcBLUE 2 - Ch. 2 - THE BIG PICTURE
00:24
16. CalcBLUE 2 - Ch. 3 - THE DERIVATIVE - INTRO
00:36
17. CalcBLUE 2 - Ch. 3.1 - The Derivative - The Matrix
01:41
18. CalcBLUE 2 - Ch. 3.2 - The Derivative - Vectors of Rates of Change
01:34
19. CalcBLUE 2 - Ch. 3.3 - The Derivative - Notation & Examples
06:53
20. CalcBLUE 2 - Ch. 3.4 - The Derivative - Example - Sensitivity
02:53
21. CalcBLUE 2 - Ch. 3.5 - The Derivative - Summary & Caveats
01:15
22. CalcBLUE 2 - Ch. 3 - THE BIG PICTURE
00:23
23. CalcBLUE 2 - Ch. 4 - DIFFERENTIATION - INTRO
00:39
24. CalcBLUE 2 - Ch. 4.1 - Definition of the Derivative
03:50
25. CalcBLUE 2 - Ch. 4.2 - a Wrinkle in Space
05:59
26. CalcBLUE 2 - Ch. 4.3 - Example - a Devilishly Difficult Derivative
04:50
27. CalcBLUE 2 Ch. 4.4 THINK! About Derivatives...
02:16
28. CalcBLUE 2 - Ch. 4 - THE BIG PICTURE
00:29
29. CalcBLUE 2 - Ch. 5 - THE CHAIN RULE - INTRO
00:39
30. CalcBLUE 2 - Ch. 5.1 - Classical Chain Rule
01:51
31. CalcBLUE 2 - Ch. 5.2 - The True Chain Rule
01:56
32. CalcBLUE 2 - Ch. 5.3 - Chain Rule Examples
06:22
33. CalcBLUE 2 - Ch. 5.4 - Chain Rule Notation
03:32
34. CalcBLUE 2 - Ch. 5.5 - RANT! The One Chain Rule
04:20
35. CalcBLUE 2 - Ch. 5 - THE BIG PICTURE
00:27
36. CalcBLUE 2 - Ch. 6 - DIFFERENTIATION RULES - INTRO
00:32
37. CalcBLUE 2 - Ch. 6.1 - Linearity of the Derivative
01:45
38. CalcBLUE 2 - Ch. 6.2 - Product Rules for Derivatives
04:21
39. CalcBLUE 2 - Ch. 6.3 - Derivatives of Quadratic Forms
04:21
40. CalcBLUE 2 - Ch. 6.4 - The Material Derivative
03:54
41. CalcBLUE 2 - Ch. 6.5 - Example - Material Derivatives
03:52
42. CalcBLUE 2 - Ch. 6 - THE BIG PICTURE
00:26
43. CalcBLUE 2 - Ch. 7 - THE INVERSE FUNCTION THEOREM - INTRO
00:39
44. CalcBLUE 2 - Ch. 7.1 - Inverses & Functions
03:32
45. CalcBLUE 2 - Ch. 7.2 - Linearization & Inverse Functions
03:31
46. CalcBLUE 2 - Ch. 7.3 - The Inverse Rule
02:42
47. CalcBLUE 2 - Ch. 7.4 - The Inverse Function Theorem
02:32
48. CalcBLUE 2 - Ch. 7.5 - Solving Nonlinear Systems
03:17
49. CalcBLUE 2 - Ch. 7.6 - Inverse Kinematics in Robotics
03:30
50. CalcBLUE 2 - Ch. 7 - THE BIG PICTURE
00:25
51. CalcBLUE 2 - Ch. 8 - THE IMPLICIT FUNCTION THEOREM - INTRO
00:40
52. CalcBLUE 2 - Ch. 8.1 - Implicit Differentiation & Functions
03:27
53. CalcBLUE 2 - Ch. 8.2 - The Implicit Function Theorem
06:10
54. CalcBLUE 2 - Ch. 8.3 - Example - Implicit Functions in Economics
04:13
55. CalcBLUE 2 - Ch. 8.4 - Example - Implicit Functions & GPS Accuracy
05:48
56. CalcBLUE 2 - Ch. 8 - THE BIG PICTURE
00:28
57. CalcBLUE 2 - Ch. 9 - GRADIENTS - INTRO
00:38
58. CalcBLUE 2 - Ch. 9.1 - Level Sets
03:54
59. CalcBLUE 2 - Ch. 9.2 - Definition of the Gradient
03:26
60. CalcBLUE 2 - Ch. 9.3 - Gradients & Level Sets
05:36
61. CalcBLUE 2 - Ch. 9.4 - Directional Derivatives
02:30
62. CalcBLUE 2 - Ch. 9.5 - BONUS + Foreshadowing of Gradient Fields
02:00
63. CalcBLUE 2 - Ch. 9 - THE BIG PICTURE
00:25
64. CalcBLUE 2 - Ch. 10 - TANGENT SPACES - INTRO
00:33
65. CalcBLUE 2 - Ch. 10.1 - Tangent Planes, Implicit
02:48
66. CalcBLUE 2 - Ch. 10.2 - Tangent Lines, Parametrized
02:12
67. CalcBLUE 2 - Ch. 10.3 - Tangent Planes, Parametrized
06:07
68. CalcBLUE 2 - Ch. 10.4 - BONUS! Kernels & Images
04:26
69. CalcBLUE 2 - Ch. 10 - THE BIG PICTURE
00:25
70. CalcBLUE 2 - Ch. 11 - LINEARIZATION - INTRO
00:35
71. CalcBLUE 2 - Ch. 11.1 - Linearization and Differentials
03:31
72. CalcBLUE 2 - Ch. 11.2 - Examples of Linear Approximation and Error Analysi
07:33
73. CalcBLUE 2 - Ch. 11.3 - Relative Rates and Percentage Errors
06:34
74. CalcBLUE 2 - Ch. 11.4 - Beyond Linear Approximation
00:59
75. CalcBLUE 2 - Ch. 11 - THE BIG PICTURE
00:26
76. CalcBLUE 2 - Ch. 12 - TAYLOR SERIES - INTRO
00:37
77. CalcBLUE 2 - Ch. 12.1 - Recalling Taylor Series
03:24
78. CalcBLUE 2 - Ch. 12.2 - Multivariate Taylor Expansion
01:51
79. CalcBLUE 2 - Ch. 12.3 - Multi-Index Notation
04:54
80. CalcBLUE 2 - Ch. 12.4 - Derivatives & Mixed Partials
03:49
81. CalcBLUE 2 - Ch. 12.5 - The Taylor Formula
02:30
82. CalcBLUE 2 - Ch. 12 - THE BIG PICTURE
00:27
83. CalcBLUE 2 - Ch. 13 - COMPUTING TAYLOR SERIES - INTRO
00:38
84. CalcBLUE 2 - Ch. 13.1 - Examples of Multivariate Taylor Expansion
02:18
85. CalcBLUE 2 - Ch. 13.2 - Taylor Series via Composition & Substitution
05:27
86. CalcBLUE 2 - Ch. 13.3 - Why Taylor and BONUS! Bifurcations
03:10
87. CalcBLUE 2 - Ch. 13.4 - Matrices and BONUS! Tensors in Taylor
03:56
88. CalcBLUE 2 - Ch. 13 - THE BIG PICTURE
00:26
89. CalcBLUE 2 - Ch. 14 - OPTIMIZATION - INTRO
00:40
90. CalcBLUE 2 - Ch. 14.1 - Critical Points & Extrema
02:19
91. CalcBLUE 2 - Ch. 14.2 - Example - Critical Points in 2-D
03:12
92. CalcBLUE 2 - Ch. 14.3 - Classifying Critical Points in 2-D
06:00
93. CalcBLUE 2 - Ch. 14.4 - Degeneracies & Cautions
02:09
94. CalcBLUE 2 - Ch. 14 - THE BIG PICTURE
00:25
95. CalcBLUE 2 - Ch. 15 - OPTIMIZATION & LINEAR REGRESSION - INTRO
00:35
96. CalcBLUE 2 - Ch. 15.1 - Best Fit Lines in Data
00:43
97. CalcBLUE 2 - Ch. 15.2 - Least-Squares Regression Formula 1
05:47
98. CalcBLUE 2 - Ch. 15.3 - Least-Squares Regression Formula 2
04:45
99. CalcBLUE 2 - Ch. 15.4 - BONUS! Regression Beyond 2-D
01:56
100. CalcBLUE 2 - Ch. 15 - THE BIG PICTURE
00:28
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