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  1. Урок 1. 00:01:28
    Hi! START HERE: Course overview
  2. Урок 2. 00:04:53
    Introduction to functions
  3. Урок 3. 00:06:11
    Vertical line test
  4. Урок 4. 00:08:40
    Domain and range
  5. Урок 5. 00:04:28
    Domain and range from a graph
  6. Урок 6. 00:04:12
    Even, odd, or neither
  7. Урок 7. 00:06:29
    Equation modeling
  8. Урок 8. 00:05:29
    Modeling a piecewise-defined function
  9. Урок 9. 00:04:08
    Sketching graphs from story problems
  10. Урок 10. 00:08:29
    Equation of a line in point-slope form
  11. Урок 11. 00:06:29
    Equation of a line in slope-intercept form
  12. Урок 12. 00:09:25
    Graphing parabolas
  13. Урок 13. 00:05:48
    Center and radius of a circle
  14. Урок 14. 00:06:56
    Graphing circles
  15. Урок 15. 00:06:09
    Combinations of functions
  16. Урок 16. 00:04:27
    Composite functions
  17. Урок 17. 00:14:33
    Composite functions, domain
  18. Урок 18. 00:04:11
    Horizontal line test (1-to-1)
  19. Урок 19. 00:06:02
    Inverse functions
  20. Урок 20. 00:06:09
    Finding the equation of a function from points on its inverse
  21. Урок 21. 00:04:21
    Laws of logarithms
  22. Урок 22. 00:04:29
    Quadratic formula
  23. Урок 23. 00:05:05
    Completing the square
  24. Урок 24. 00:04:54
    Long division of polynomials
  25. Урок 25. 00:18:17
    Unit circle
  26. Урок 26. 00:01:17
    Introduction to idea of the limit
  27. Урок 27. 00:07:53
    Idea of the limit
  28. Урок 28. 00:09:26
    One-sided limits
  29. Урок 29. 00:05:44
    Proving that the limit does not exist
  30. Урок 30. 00:11:28
    Precise definition of the limit
  31. Урок 31. 00:01:11
    Introduction to combinations and composites
  32. Урок 32. 00:09:01
    Limits of combinations
  33. Урок 33. 00:21:41
    Limits of composites
  34. Урок 34. 00:01:03
    Introduction to continuity
  35. Урок 35. 00:08:16
    Point discontinuities
  36. Урок 36. 00:09:16
    Jump discontinuities
  37. Урок 37. 00:07:39
    Infinite discontinuities
  38. Урок 38. 00:00:53
    Introduction to intermediate value theorem
  39. Урок 39. 00:06:57
    Intermediate value theorem with an interval
  40. Урок 40. 00:06:28
    Intermediate value theorem without an interval
  41. Урок 41. 00:00:57
    Introduction to solving limits
  42. Урок 42. 00:02:47
    Solving with substitution
  43. Урок 43. 00:04:32
    Solving with factoring
  44. Урок 44. 00:06:28
    Solving with conjugate method
  45. Урок 45. 00:13:26
    Infinite limits and vertical asymptotes
  46. Урок 46. 00:07:48
    Crazy graphs
  47. Урок 47. 00:04:50
    Trigonometric limits
  48. Урок 48. 00:11:11
    Making the function continuous
  49. Урок 49. 00:01:03
    Introduction to squeeze theorem
  50. Урок 50. 00:04:36
    Squeeze theorem
  51. Урок 51. 00:03:07
    Squeeze theorem, limit of an inequality
  52. Урок 52. 00:01:02
    Introduction to definition of the derivative
  53. Урок 53. 00:12:15
    Definition of the derivative
  54. Урок 54. 00:01:09
    Introduction to derivative rules
  55. Урок 55. 00:05:22
    Power rule
  56. Урок 56. 00:07:32
    Power rule for negative powers
  57. Урок 57. 00:10:11
    Power rule for fractional powers
  58. Урок 58. 00:09:52
    Product rule, two functions
  59. Урок 59. 00:07:08
    Product rule, three or more functions
  60. Урок 60. 00:12:03
    Quotient rule
  61. Урок 61. 00:00:56
    Introduction to chain rule
  62. Урок 62. 00:06:27
    Chain rule with power rule
  63. Урок 63. 00:08:41
    Chain rule with product rule
  64. Урок 64. 00:07:21
    Chain rule with quotient rule
  65. Урок 65. 00:00:59
    Introduction to derivatives of trig functions
  66. Урок 66. 00:19:08
    Trigonometric derivatives
  67. Урок 67. 00:04:51
    Inverse trigonometric derivatives
  68. Урок 68. 00:04:22
    Hyperbolic derivatives
  69. Урок 69. 00:04:41
    Inverse hyperbolic derivatives
  70. Урок 70. 00:00:52
    Introduction to derivatives of ln(x) and e^x
  71. Урок 71. 00:06:48
    Exponential derivatives
  72. Урок 72. 00:05:56
    Logarithmic derivatives
  73. Урок 73. 00:06:55
    Logarithmic differentiation
  74. Урок 74. 00:01:04
    Introduction to tangent and normal lines
  75. Урок 75. 00:08:00
    Tangent lines
  76. Урок 76. 00:15:19
    Value that makes two tangent lines parallel
  77. Урок 77. 00:08:29
    Values that make the function differentiable
  78. Урок 78. 00:04:29
    Normal lines
  79. Урок 79. 00:05:53
    Average rate of change
  80. Урок 80. 00:01:14
    Introduction to implicit differentiation
  81. Урок 81. 00:10:24
    Implicit differentiation
  82. Урок 82. 00:07:24
    Equation of the tangent line with implicit differentiation
  83. Урок 83. 00:08:15
    Second derivatives with implicit differentiation
  84. Урок 84. 00:01:10
    Introduction to optimization and sketching graphs
  85. Урок 85. 00:16:05
    Critical points
  86. Урок 86. 00:08:16
    Increasing and decreasing
  87. Урок 87. 00:15:27
    First derivative test
  88. Урок 88. 00:07:07
    Concavity
  89. Урок 89. 00:03:43
    Second derivative test
  90. Урок 90. 00:09:57
    Vertical asymptotes
  91. Урок 91. 00:08:12
    Horizontal asymptotes
  92. Урок 92. 00:03:56
    Slant asymptotes
  93. Урок 93. 00:09:58
    Sketching graphs
  94. Урок 94. 00:13:19
    Extrema on a closed interval
  95. Урок 95. 00:29:45
    Sketching f(x) from f'(x)
  96. Урок 96. 00:01:02
    Introduction to linear approximation
  97. Урок 97. 00:04:23
    Linear approximation
  98. Урок 98. 00:08:10
    Estimating a root
  99. Урок 99. 00:01:01
    Introduction to related rates
  100. Урок 100. 00:06:06
    Radius of the balloon
  101. Урок 101. 00:05:08
    Price of the product
  102. Урок 102. 00:08:31
    Water level in the tank
  103. Урок 103. 00:10:30
    Observer and the airplane
  104. Урок 104. 00:06:58
    Ladder sliding down the wall
  105. Урок 105. 00:00:47
    Introduction to applied optimization
  106. Урок 106. 00:06:07
    Dimensions of a rectangle that maximize its area
  107. Урок 107. 00:10:25
    Dimensions of a rectangle that minimize its perimeter
  108. Урок 108. 00:14:01
    Dimensions that minimize page size with a given printed area
  109. Урок 109. 00:06:52
    Two real numbers with minimum product
  110. Урок 110. 00:08:43
    Two real numbers with minimum sum of squares
  111. Урок 111. 00:07:18
    Point on the line closest to another point
  112. Урок 112. 00:05:44
    Time when velocity is minimum
  113. Урок 113. 00:10:10
    Dimensions that maximize the volume of a box
  114. Урок 114. 00:11:36
    Dimensions that minimize the surface area of an open top box
  115. Урок 115. 00:11:31
    Width that minimizes the surface area of an open top box
  116. Урок 116. 00:12:33
    Dimensions that maximize the volume of a cylinder
  117. Урок 117. 00:08:38
    Dimensions that minimize the surface area of a cylinder
  118. Урок 118. 00:11:05
    Maximum volume of a cone-shaped cup
  119. Урок 119. 00:10:22
    Production level and sale price that maximize profit
  120. Урок 120. 00:07:36
    Sales level that maximizes revenue
  121. Урок 121. 00:15:47
    Maximum area of a rectangle inscribed in a semicircle
  122. Урок 122. 00:13:17
    Dimensions that maximize the area of a rectangle inscribed in a triangle
  123. Урок 123. 00:14:04
    Maximum volume of a cylinder inscribed in a sphere
  124. Урок 124. 00:00:58
    Introduction to derivative theorems
  125. Урок 125. 00:11:21
    Mean Value Theorem
  126. Урок 126. 00:05:12
    Rolle's Theorem
  127. Урок 127. 00:09:22
    Newton's Method
  128. Урок 128. 00:03:16
    L'Hospital's Rule
  129. Урок 129. 00:00:44
    Introduction to physics
  130. Урок 130. 00:03:52
    Position function
  131. Урок 131. 00:19:57
    Position function of a particle
  132. Урок 132. 00:09:37
    Ball thrown up from the ground
  133. Урок 133. 00:09:31
    Coin dropped from the roof
  134. Урок 134. 00:01:01
    Introduction to economics
  135. Урок 135. 00:07:05
    Marginal cost, revenue, and profit
  136. Урок 136. 00:00:57
    Introduction to exponential growth and decay
  137. Урок 137. 00:08:07
    Half life
  138. Урок 138. 00:06:09
    Sales decline
  139. Урок 139. 00:02:51
    Compounding interest
  140. Урок 140. 00:00:25
    Wrap-up