Categorías

A sample text widget

Etiam pulvinar consectetur dolor sed malesuada. Ut convallis euismod dolor nec pretium. Nunc ut tristique massa.

Nam sodales mi vitae dolor ullamcorper et vulputate enim accumsan. Morbi orci magna, tincidunt vitae molestie nec, molestie at mi. Nulla nulla lorem, suscipit in posuere in, interdum non magna.

Calculus

Calculus

Topics covered in the first two or three semesters of college calculus. Everything from limits to derivatives to integrals to vector calculus. Should understand the topics in the pre-calculus playlist first (the limit videos are in both playlists)

  1. Introduction to Limits (HD)
  2. Introduction to Limits
  3. Limit Examples (part 1)
  4. Limit Examples (part 2)
  5. Limit Examples (part3)
  6. Limit Examples w/ brain malfunction on first prob (part 4)
  7. Squeeze Theorem
  8. Proof: lim (sin x)/x
  9. More Limits
  10. Epsilon Delta Limit Definition 1
  11. Epsilon Delta Limit Definition 2
  12. Calculus: Derivatives 1 (new HD version)
  13. Calculus: Derivatives 2 (new HD version)
  14. Calculus: Derivatives 2.5 (new HD version)
  15. Calculus: Derivatives 1
  16. Calculus: Derivatives 2
  17. Calculus: Derivatives 3
  18. The Chain Rule
  19. Chain Rule Examples
  20. Even More Chain Rule
  21. Product Rule
  22. Quotient Rule
  23. Derivatives (part 9)
  24. Proof: d/dx(x^n)
  25. Proof: d/dx(sqrt(x))
  26. Proof: d/dx(ln x) = 1/x
  27. Proof: d/dx(e^x) = e^x
  28. Proofs of Derivatives of Ln(x) and e^x
  29. Extreme Derivative Word Problem (advanced)
  30. Implicit Differentiation
  31. Implicit Differentiation (part 2)
  32. More implicit differentiation
  33. More chain rule and implicit differentiation intuition
  34. Trig Implicit Differentiation Example
  35. Calculus: Derivative of x^(x^x)
  36. Introduction to L’Hopital’s Rule
  37. L’Hopital’s Rule Example 1
  38. L’Hopital’s Rule Example 2
  39. L’Hopital’s Rule Example 3
  40. Maxima Minima Slope Intuition
  41. Inflection Points and Concavity Intuition
  42. Monotonicity Theorem
  43. Calculus: Maximum and minimum values on an interval
  44. Calculus: Graphing Using Derivatives
  45. Calculus Graphing with Derivatives Example
  46. Graphing with Calculus
  47. Optimization with Calculus 1
  48. Optimization with Calculus 2
  49. Optimization with Calculus 3
  50. Optimization Example 4
  51. Introduction to rate-of-change problems
  52. Equation of a tangent line
  53. Rates-of-change (part 2)
  54. Ladder rate-of-change problem
  55. Mean Value Theorem
  56. The Indefinite Integral or Anti-derivative
  57. Indefinite integrals (part II)
  58. Indefinite Integration (part III)
  59. Indefinite Integration (part IV)
  60. Indefinite Integration (part V)
  61. Integration by Parts (part 6 of Indefinite Integration)
  62. Indefinite Integration (part 7)
  63. Another u-subsitution example
  64. Introduction to definite integrals
  65. Definite integrals (part II)
  66. Definite Integrals (area under a curve) (part III)
  67. Definite Integrals (part 4)
  68. Definite Integrals (part 5)
  69. Definite integral with substitution
  70. Integrals: Trig Substitution 1
  71. Integrals: Trig Substitution 2
  72. Integrals: Trig Substitution 3 (long problem)
  73. Periodic Definite Integral
  74. Introduction to differential equations
  75. Solid of Revolution (part 1)
  76. Solid of Revolution (part 2)
  77. Solid of Revolution (part 3)
  78. Solid of Revolution (part 4)
  79. Solid of Revolution (part 5)
  80. Solid of Revolution (part 6)
  81. Solid of Revolution (part 7)
  82. Solid of Revolution (part 8)
  83. Sequences and Series (part 1)
  84. Sequences and series (part 2)
  85. Maclauren and Taylor Series Intuition
  86. Cosine Taylor Series at 0 (Maclaurin)
  87. Sine Taylor Series at 0 (Maclaurin)
  88. Taylor Series at 0 (Maclaurin) for e to the x
  89. Euler’s Formula and Euler’s Identity
  90. Visualizing Taylor Series Approximations
  91. Generalized Taylor Series Approximation
  92. Visualizing Taylor Series for e^x
  93. Polynomial approximation of functions (part 1)
  94. Polynomial approximation of functions (part 2)
  95. Approximating functions with polynomials (part 3)
  96. Polynomial approximation of functions (part 4)
  97. Polynomial approximations of functions (part 5)
  98. Polynomial approximation of functions (part 6)
  99. Polynomial approximation of functions (part 7)
  100. Taylor Polynomials
  101. Exponential Growth
  102. AP Calculus BC Exams: 2008 1 a
  103. AP Calculus BC Exams: 2008 1 b&c
  104. AP Calculus BC Exams: 2008 1 c&d
  105. AP Calculus BC Exams: 2008 1 d
  106. Calculus BC 2008 2 a
  107. Calculus BC 2008 2 b &c
  108. Calculus BC 2008 2d
  109. Partial Derivatives
  110. Partial Derivatives 2
  111. Gradient 1
  112. Gradient of a scalar field
  113. Divergence 1
  114. Divergence 2
  115. Divergence 3
  116. Curl 1
  117. Curl 2
  118. Curl 3
  119. Double Integral 1
  120. Double Integrals 2
  121. Double Integrals 3
  122. Double Integrals 4
  123. Double Integrals 5
  124. Double Integrals 6
  125. Triple Integrals 1
  126. Triple Integrals 2
  127. Triple Integrals 3
  128. (2^ln x)/x Antiderivative Example
  129. Introduction to the Line Integral
  130. Line Integral Example 1
  131. Line Integral Example 2 (part 1)
  132. Line Integral Example 2 (part 2)
  133. Position Vector Valued Functions
  134. Derivative of a position vector valued function
  135. Differential of a vector valued function
  136. Vector valued function derivative example
  137. Line Integrals and Vector Fields
  138. Using a line integral to find the work done by a vector field example
  139. Parametrization of a Reverse Path
  140. Scalar Field Line Integral Independent of Path Direction
  141. Vector Field Line Integrals Dependent on Path Direction
  142. Path Independence for Line Integrals
  143. Closed Curve Line Integrals of Conservative Vector Fields
  144. Example of Closed Line Integral of Conservative Field
  145. Second Example of Line Integral of Conservative Vector Field
  146. Green’s Theorem Proof Part 1
  147. Green’s Theorem Proof (part 2)
  148. Green’s Theorem Example 1
  149. Green’s Theorem Example 2
  150. Introduction to Parametrizing a Surface with Two Parameters
  151. Determining a Position Vector-Valued Function for a Parametrization of Two Parameters
  152. Partial Derivatives of Vector-Valued Functions
  153. Introduction to the Surface Integral
  154. Example of calculating a surface integral part 1
  155. Example of calculating a surface integral part 2
  156. Example of calculating a surface integral part 3