2. 課程大綱 OUTLINE Functions of Several Variables
Limits and Continuity（極限與連續）
Partial Derivatives（偏導數）
Linear Approximations and chain Rule （線性估計與鏈鎖律)
Directional Derivatives and The Gradient Vector（方向導數和梯度）
Maximum and Minimum Values（極值）

3. Functions of Several Variables -R3

4. Functions of Several Variables -R3

5. Functions of Several Variables -Rn

6. Functions of Several Variables -Rn

7. Functions of Several Variables -Rn

8. Functions of Several Variables -Rn

9. Functions of Several Variables -Rn 長度及相關的等式

10. Functions of Several Variables

11. Functions of Several Variables - FUNCTIONS OF 2 VARIABLES

12. Functions of Several Variables - FUNCTIONS OF 2 VARIABLES

13. Functions of Several Variables - FUNCTIONS OF 2 VARIABLES

14. Functions of Several Variables - FUNCTIONS OF 2 VARIABLES

15. Functions of Several Variables - LEVEL CURVES 等值線

16. Functions of Several Variables - LEVEL CURVES 等值線

17. Functions of Several Variables - LEVEL CURVES 等值線
     

18. Functions of Several Variables - LEVEL CURVES 等值線
     

19. LIMITS AND CONTINUITY 極限與連續 - LIMIT
     

20. LIMITS AND CONTINUITY 極限與連續 - LIMIT
     

21. LIMITS AND CONTINUITY 極限與連續 - LIMIT
     

22. LIMITS AND CONTINUITY 極限與連續 - LIMIT
     

23. LIMITS AND CONTINUITY 極限與連續 - LIMIT
     

24. LIMITS AND CONTINUITY 極限與連續 - THEOREM
     

25. LIMITS AND CONTINUITY 極限與連續 - THEOREM
     

26. LIMITS AND CONTINUITY 極限與連續 - CONTINUITY連 續
     

27. LIMITS AND CONTINUITY 極限與連續 - CONTINUITY連 續
     

28. LIMITS AND CONTINUITY 極限與連續 - CONTINUITY連 續
     

29. LIMITS AND CONTINUITY 極限與連續 - CONTINUITY連 續
     

30. LIMITS AND CONTINUITY 極限與連續 - CONTINUITY連 續
     

31. LIMITS AND CONTINUITY 極限與連續 - CONTINUITY連 續
     

32. PARTIAL DERIVATIVES偏導數 - PARTIAL DERIVATIVES
     

33. PARTIAL DERIVATIVES偏導數 - PARTIAL DERIVATIVES
     

34. PARTIAL DERIVATIVES偏導數 - PARTIAL DERIVATIVES
     

35. PARTIAL DERIVATIVES偏導數 - PARTIAL DERIVATIVES
     

36. PARTIAL DERIVATIVES偏導數 - PARTIAL DERIVATIVES
     

37. PARTIAL DERIVATIVES偏導數 - PARTIAL DERIVATIVES
     

38. PARTIAL DERIVATIVES偏導數 - PARTIAL DERIVATIVES
     

39. PARTIAL DERIVATIVES偏導數 - INTERPRETATIONS OF PARTIAL DERIVATIVES
     

40. PARTIAL DERIVATIVES偏導數 - INTERPRETATIONS OF PARTIAL DERIVATIVES
     

41. PARTIAL DERIVATIVES偏導數 - HIGHER DERIVATIVES高階偏導數
     

42. PARTIAL DERIVATIVES偏導數 - HIGHER DERIVATIVES高階偏導數
     

43. PARTIAL DERIVATIVES偏導數 - HIGHER DERIVATIVES高階偏導數
     

44. PARTIAL DERIVATIVES偏導數 - HIGHER DERIVATIVES高階偏導數
     

45. PARTIAL DERIVATIVES偏導數 - HIGHER DERIVATIVES高階偏導數
     

46. PARTIAL DERIVATIVES偏導數 - PARTIAL DIFFERENTIAL EQUATIONS
     

47. PARTIAL DERIVATIVES偏導數 - PARTIAL DIFFERENTIAL EQUATIONS
     

48. PARTIAL DERIVATIVES偏導數 - PARTIAL DIFFERENTIAL EQUATIONS
     

49. LINEAR APPROXIMATIONS AND CHAIN RULE - TANGENT PLANES 切平面
     

50. LINEAR APPROXIMATIONS AND CHAIN RULE - TANGENT PLANES 切平面
     

51. LINEAR APPROXIMATIONS AND CHAIN RULE - TANGENT PLANES 切平面
     

52. LINEAR APPROXIMATIONS AND CHAIN RULE - LINEAR APPROXIMATION 線性估計
     

53. LINEAR APPROXIMATIONS AND CHAIN RULE - LINEAR APPROXIMATION 線性估計
     

54. LINEAR APPROXIMATIONS AND CHAIN RULE - LINEAR APPROXIMATION 線性估計
     

55. LINEAR APPROXIMATIONS AND CHAIN RULE - LINEAR APPROXIMATION 線性估計
     

56. LINEAR APPROXIMATIONS AND CHAIN RULE - LINEAR APPROXIMATION 線性估計
     

57. LINEAR APPROXIMATIONS AND CHAIN RULE - LINEAR APPROXIMATION 線性估計
     

58. LINEAR APPROXIMATIONS AND CHAIN RULE - LINEAR APPROXIMATION 線性估計
     

59. LINEAR APPROXIMATIONS AND CHAIN RULE - LINEAR APPROXIMATION 線性估計
     

60. LINEAR APPROXIMATIONS AND CHAIN RULE - LINEAR APPROXIMATION 線性估計
     

61. LINEAR APPROXIMATIONS AND CHAIN RULE - LINEAR APPROXIMATION 線性估計
     

62. LINEAR APPROXIMATIONS AND CHAIN RULE - LINEAR APPROXIMATION 線性估計
     

63. LINEAR APPROXIMATIONS AND CHAIN RULE - THE CHAIN RULE 鏈鎖律(CASE 1)
     

64. LINEAR APPROXIMATIONS AND CHAIN RULE - THE CHAIN RULE 鏈鎖律(CASE 1)
     

65. LINEAR APPROXIMATIONS AND CHAIN RULE - THE CHAIN RULE 鏈鎖律(CASE 1)
     

66. LINEAR APPROXIMATIONS AND CHAIN RULE - THE CHAIN RULE 鏈鎖律(CASE 1)
     

67. LINEAR APPROXIMATIONS AND CHAIN RULE - THE CHAIN RULE 鏈鎖律(CASE 2)
     

68. LINEAR APPROXIMATIONS AND CHAIN RULE - THE CHAIN RULE 鏈鎖律(CASE 2)
     

69. LINEAR APPROXIMATIONS AND CHAIN RULE - THE CHAIN RULE 鏈鎖律(CASE 2)
     

70. LINEAR APPROXIMATIONS AND CHAIN RULE - THE CHAIN RULE 鏈鎖律(CASE 2)
     

71. LINEAR APPROXIMATIONS AND CHAIN RULE - THE CHAIN RULE 鏈鎖律(CASE 2)
     

72. LINEAR APPROXIMATIONS AND CHAIN RULE - IMPLICIT DIFFERENTIATION 隱微分
     

73. LINEAR APPROXIMATIONS AND CHAIN RULE - IMPLICIT DIFFERENTIATION 隱微分
     

74. LINEAR APPROXIMATIONS AND CHAIN RULE - IMPLICIT DIFFERENTIATION 隱微分
     

75. LINEAR APPROXIMATIONS AND CHAIN RULE - IMPLICIT DIFFERENTIATION 隱微分
     

76. LINEAR APPROXIMATIONS AND CHAIN RULE - IMPLICIT DIFFERENTIATION 隱微分
     

77. LINEAR APPROXIMATIONS AND CHAIN RULE - IMPLICIT DIFFERENTIATION 隱微分
     

78. LINEAR APPROXIMATIONS AND CHAIN RULE - IMPLICIT DIFFERENTIATION 隱微分
     

79. LINEAR APPROXIMATIONS AND CHAIN RULE - IMPLICIT DIFFERENTIATION 隱微分
     

80. LINEAR APPROXIMATIONS AND CHAIN RULE - IMPLICIT DIFFERENTIATION 隱微分
     

81. DIRECTIONAL DERIVATIVES AND THE GRADIENT VECTOR - DIRECTIONAL DERIVATIVES 方向導數
     

82. DIRECTIONAL DERIVATIVES AND THE GRADIENT VECTOR - DIRECTIONAL DERIVATIVES 方向導數
     

83. DIRECTIONAL DERIVATIVES AND THE GRADIENT VECTOR - DIRECTIONAL DERIVATIVES 方向導數
     

84. DIRECTIONAL DERIVATIVES AND THE GRADIENT VECTOR - DIRECTIONAL DERIVATIVES 方向導數
     

85. DIRECTIONAL DERIVATIVES AND THE GRADIENT VECTOR - THE GRADIENT VECTOR 二變數函數的梯度
     

86. DIRECTIONAL DERIVATIVES AND THE GRADIENT VECTOR - THE GRADIENT VECTOR 二變數函數的梯度
     

87. DIRECTIONAL DERIVATIVES AND THE GRADIENT VECTOR - THE GRADIENT VECTOR 二變數函數的梯度
     

88. DIRECTIONAL DERIVATIVES AND THE GRADIENT VECTOR - THE GRADIENT VECTOR 二變數函數的梯度
     

89. DIRECTIONAL DERIVATIVES AND THE GRADIENT VECTOR - THE GRADIENT VECTOR 二變數函數的梯度
     

90. DIRECTIONAL DERIVATIVES AND THE GRADIENT VECTOR - THE GRADIENT VECTOR 二變數函數的梯度
     

91. DIRECTIONAL DERIVATIVES AND THE GRADIENT VECTOR - THE GRADIENT VECTOR 二變數函數的梯度
     

92. DIRECTIONAL DERIVATIVES AND THE GRADIENT VECTOR - THE GRADIENT VECTOR 二變數函數的梯度
     

93. DIRECTIONAL DERIVATIVES AND THE GRADIENT VECTOR - FUNCTIONS OF THREE VARIABLES
     

94. DIRECTIONAL DERIVATIVES AND THE GRADIENT VECTOR - FUNCTIONS OF THREE VARIABLES
     

95. DIRECTIONAL DERIVATIVES AND THE GRADIENT VECTOR - FUNCTIONS OF THREE VARIABLES
     

96. DIRECTIONAL DERIVATIVES AND THE GRADIENT VECTOR - FUNCTIONS OF THREE VARIABLES
     

97. DIRECTIONAL DERIVATIVES AND THE GRADIENT VECTOR - FUNCTIONS OF THREE VARIABLES
     

98. DIRECTIONAL DERIVATIVES AND THE GRADIENT VECTOR - FUNCTIONS OF THREE VARIABLES
     

99. DIRECTIONAL DERIVATIVES AND THE GRADIENT VECTOR - TANGENT PLANES TO LEVEL SURFACES
     

100. DIRECTIONAL DERIVATIVES AND THE GRADIENT VECTOR - TANGENT PLANES TO LEVEL SURFACES
     

101. DIRECTIONAL DERIVATIVES AND THE GRADIENT VECTOR - TANGENT PLANES TO LEVEL SURFACES
     

102. MAXIMUM AND MINIMUM VALUES - LOCAL MAXIMUM AND LOCAL MINIMUM VALUES
     

103. MAXIMUM AND MINIMUM VALUES - LOCAL MAXIMUM AND LOCAL MINIMUM VALUES
     

104. MAXIMUM AND MINIMUM VALUES - LOCAL MAXIMUM AND LOCAL MINIMUM VALUES
     

105. MAXIMUM AND MINIMUM VALUES - CRITICAL POINT AND SADDLE POINT
     

106. MAXIMUM AND MINIMUM VALUES - CRITICAL POINT AND SADDLE POINT
     

107. MAXIMUM AND MINIMUM VALUES - CRITICAL POINT AND SADDLE POINT
     

108. MAXIMUM AND MINIMUM VALUES - CRITICAL POINT AND SADDLE POINT
     

109. MAXIMUM AND MINIMUM VALUES - CRITICAL POINT AND SADDLE POINT
     

110. MAXIMUM AND MINIMUM VALUES - CRITICAL POINT AND SADDLE POINT
     

111. MAXIMUM AND MINIMUM VALUES - CRITICAL POINT AND SADDLE POINT
     

112. MAXIMUM AND MINIMUM VALUES - CRITICAL POINT AND SADDLE POINT
     

113. MAXIMUM AND MINIMUM VALUES - LAGRANGE MULTIPLIERS
     

114. MAXIMUM AND MINIMUM VALUES - LAGRANGE MULTIPLIERS
     

115. MAXIMUM AND MINIMUM VALUES - LAGRANGE MULTIPLIERS
     

116. MAXIMUM AND MINIMUM VALUES - LAGRANGE MULTIPLIERS
     

117. MAXIMUM AND MINIMUM VALUES - LAGRANGE MULTIPLIERS
     

118. MAXIMUM AND MINIMUM VALUES - LAGRANGE MULTIPLIERS