Khan Academy

Khan Academy

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

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