الرئيسية تعليم الرياضيات حساب التفاضل والتكامل

حساب التفاضل والتكامل

 Calculus
    1. Introduction to Limits
    2. Limit Examples (part 1)
    3. Limit Examples (part 2)
    4. Limit Examples (part3)
    5. Limit Examples w/ brain malfunction on first prob (part 4)
    6. Squeeze Theorem
    7. Proof: lim (sin x)/x
    8. More Limits
    9. Epsilon Delta Limit Definition 1
    10. Epsilon Delta Limit Definition 2
    11. Calculus: Derivatives 1 (new HD version)
    12. Calculus: Derivatives 2 (new HD version)
    13. Calculus: Derivatives 2.5 (new HD version)
    14. Calculus: Derivatives 1
    15. Calculus: Derivatives 2
    16. Calculus: Derivatives 3
    17. Calculus: Derivatives 4: The Chain Rule
    18. Calculus: Derivatives 5
    19. Calculus: Derivatives 6
    20. Derivatives (part 7)
    21. Derivatives (part 8)
    22. Derivatives (part 9)
    23. Proof: d/dx(x^n)
    24. Proof: d/dx(sqrt(x))
    25. Proof: d/dx(ln x) = 1/x
    26. Proof: d/dx(e^x) = e^x
    27. Proofs of Derivatives of Ln(x) and e^x
    28. Extreme Derivative Word Problem (advanced)
    29. Implicit Differentiation
    30. Implicit Differentiation (part 2)
    31. More implicit differentiation
    32. More chain rule and implicit differentiation intuition
    33. Trig Implicit Differentiation Example
    34. Calculus: Derivative of x^(x^x)
    35. Maxima Minima Slope Intuition
    36. Inflection Points and Concavity Intuition
    37. Monotonicity Theorem
    38. Calculus: Maximum and minimum values on an interval
    39. Calculus: Graphing Using Derivatives
    40. Calculus Graphing with Derivatives Example
    41. Graphing with Calculus
    42. Optimization with Calculus 1
    43. Optimization with Calculus 2
    44. Optimization with Calculus 3
    45. Optimization Example 4
    46. Introduction to rate-of-change problems
    47. Equation of a tangent line
    48. Rates-of-change (part 2)
    49. Ladder rate-of-change problem
    50. Mean Value Theorem
    51. The Indefinite Integral or Anti-derivative
    52. Indefinite integrals (part II)
    53. Indefinite Integration (part III)
    54. Indefinite Integration (part IV)
    55. Indefinite Integration (part V)
    56. Integration by Parts (part 6 of Indefinite Integration)
    57. Indefinite Integration (part 7)
    58. Another u-subsitution example
    59. Introduction to definite integrals
    60. Definite integrals (part II)
    61. Definite Integrals (area under a curve) (part III)
    62. Definite Integrals (part 4)
    63. Definite Integrals (part 5)
    64. Definite integral with substitution
    65. Integrals: Trig Substitution 1
    66. Integrals: Trig Substitution 2
    67. Integrals: Trig Substitution 3 (long problem)
    68. Introduction to differential equations
    69. Solid of Revolution (part 1)
    70. Solid of Revolution (part 2)
    71. Solid of Revolution (part 3)
    72. Solid of Revolution (part 4)
    73. Solid of Revolution (part 5)
    74. Solid of Revolution (part 6)
    75. Solid of Revolution (part 7)
    76. Solid of Revolution (part 8)
    77. Sequences and Series (part 1)
    78. Sequences and series (part 2)
    79. Polynomial approximation of functions (part 1)
    80. Polynomial approximation of functions (part 2)
    81. Approximating functions with polynomials (part 3)
    82. Polynomial approximation of functions (part 4)
    83. Polynomial approximations of functions (part 5)
    84. Polynomial approximation of functions (part 6)
    85. Polynomial approximation of functions (part 7)
    86. Taylor Polynomials
    87. Exponential Growth
    88. AP Calculus BC Exams: 2008 1 a
    89. AP Calculus BC Exams: 2008 1 b&c
    90. AP Calculus BC Exams: 2008 1 c&d
    91. AP Calculus BC Exams: 2008 1 d
    92. Calculus BC 2008 2 a
    93. Calculus BC 2008 2 b &c
    94. Calculus BC 2008 2d
    95. Partial Derivatives
    96. Partial Derivatives 2
    97. Gradient 1
    98. Gradient of a scalar field
    99. Divergence 1
    100. Divergence 2
    101. Divergence 3
    102. Curl 1
    103. Curl 2
    104. Curl 3
    105. Double Integral 1
    106. Double Integrals 2
    107. Double Integrals 3
    108. Double Integrals 4
    109. Double Integrals 5
    110. Double Integrals 6
    111. Triple Integrals 1
    112. Triple Integrals 2
    113. Triple Integrals 3
    114. (2^ln x)/x Antiderivative Example
    115. Introduction to the Line Integral
    116. Line Integral Example 1
    117. Line Integral Example 2 (part 1)
    118. Line Integral Example 2 (part 2)
    119. Position Vector Valued Functions
    120. Derivative of a position vector valued function
    121. Differential of a vector valued function
    122. Vector valued function derivative example
    123. Line Integrals and Vector Fields
    124. Using a line integral to find the work done by a vector field example
    125. Parametrization of a Reverse Path
    126. Scalar Field Line Integral Independent of Path Direction
    127. Vector Field Line Integrals Dependent on Path Direction
    128. Path Independence for Line Integrals
    129. Closed Curve Line Integrals of Conservative Vector Fields
    130. Example of Closed Line Integral of Conservative Field
    131. Second Example of Line Integral of Conservative Vector Field
    132. Green's Theorem Proof Part 1
    133. Green's Theorem Proof (part 2)
    134. Green's Theorem Example 1
    135. Green's Theorem Example 2
    136. Introduction to Parametrizing a Surface with Two Parameters
    137. Determining a Position Vector-Valued Function for a Parametrization of Two Parameters
    138. Partial Derivatives of Vector-Valued Functions
    139. Introduction to the Surface Integral
    140. Example of calculating a surface integral part 1
    141. Example of calculating a surface integral part 2
    142. Example of calculating a surface integral part 3
    143. Introduction to L'Hopital's Rule
    144. L'Hopital's Rule Example 1
    145. L'Hopital's Rule Example 2
    146. L'Hopital's Rule Example 3
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