# Calculus

• Khan Academy
• 199 videos
• 2,936,279 views
• Last updated on Jul 2, 2014
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)

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•  Newton Leibniz and Usain Bolt 9:07 Introduction to limits | Limits | Differential Calculus | Khan Academy 11:32 Introduction to limits 2 | Limits | Precalculus | Khan Academy 7:39 Limit examples (part 1) | Limits | Differential Calculus | Khan Academy 8:58 Limit examples (part 2) | Limits | Differential Calculus | Khan Academy 6:58 Limit examples (part 3) | Limits | Differential Calculus | Khan Academy 9:58 Limit examples w/ brain malfunction on first prob (part 4) | Differential Calculus | Khan Academy 15:03 Squeeze theorem (sandwich theorem) | Limits | Differential Calculus | Khan Academy 7:37 Proof: lim (sin x)/x | Limits | Differential Calculus | Khan Academy 18:05 More limits | Limits | Differential Calculus | Khan Academy 13:10 Epsilon-delta limit definition 1 | Limits | Differential Calculus | Khan Academy 12:48 Epsilon-delta limit definition 2 | Limits | Differential Calculus | Khan Academy 10:56 Derivative as slope of a tangent line | Taking derivatives | Differential Calculus | Khan Academy 15:43 Calculating slope of tangent line using derivative definition | Differential Calculus | Khan Academy 8:28 The derivative of f(x)=x^2 for any x | Taking derivatives | Differential Calculus | Khan Academy 11:05 Derivative intuition module | Taking derivatives | Differential Calculus | Khan Academy 3:58 Calculus: Derivatives 1 | Taking derivatives | Differential Calculus | Khan Academy 9:26 Calculus: Derivatives 2 | Taking derivatives | Differential Calculus | Khan Academy 9:32 Power rule introduction (old) | Taking derivatives | Differential Calculus | Khan Academy 9:50 The Chain Rule 9:12 Chain Rule Examples 9:25 Even More Chain Rule 9:50 Product rule | Taking derivatives | Differential Calculus | Khan Academy 8:49 Quotient rule and common derivatives | Taking derivatives | Differential Calculus | Khan Academy 9:32 Derivatives (part 9) 9:57 Proof: d/dx(x^n) | Taking derivatives | Differential Calculus | Khan Academy 7:03 Proof: d/dx(sqrt(x)) | Taking derivatives | Differential Calculus | Khan Academy 5:08 Proof: d/dx(ln x) = 1/x | Taking derivatives | Differential Calculus | Khan Academy 9:52 Proof: d/dx(e^x) = e^x | Taking derivatives | Differential Calculus | Khan Academy 4:40 Proofs of derivatives of ln(x) and e^x | Taking derivatives | Differential Calculus | Khan Academy 12:27 Extreme derivative word problem (advanced) | Differential Calculus | Khan Academy 23:13 Implicit Differentiation 15:57 Implicit Differentiation (part 2) 10:45 More implicit differentiation 11:30 More chain rule and implicit differentiation intuition 10:11 Trig Implicit Differentiation Example 12:08 Derivative of x^(x^x) | Taking derivatives | Differential Calculus | Khan Academy 9:02 Introduction to l'Hôpital's rule | Derivative applications | Differential Calculus | Khan Academy 8:52 L'Hôpital's rule example 1 | Derivative applications | Differential Calculus | Khan Academy 7:43 L'Hôpital's rule example 2 | Derivative applications | Differential Calculus | Khan Academy 5:16 L'Hôpital's rule example 3 | Derivative applications | Differential Calculus | Khan Academy 7:50 Maxima Minima Slope Intuition 9:37 Inflection Points and Concavity Intuition 13:43 Monotonicity Theorem 9:14 Calculus: Maximum and minimum values on an interval 11:42 Graphing using derivatives | Derivative applications | Differential Calculus | Khan Academy 20:31 Another example graphing with derivatives | Differential Calculus | Khan Academy 25:08 Graphing with Calculus 9:44 Optimization with Calculus 1 9:51 Optimization with Calculus 2 11:56 Optimization with Calculus 3 17:30 Optimization Example 4 9:49 Introduction to rate-of-change problems 9:44 Equation of a tangent line | Taking derivatives | Differential Calculus | Khan Academy 8:08 Rates-of-change (part 2) 5:39 Ladder rate-of-change problem 10:59 Mean value theorem | Derivative applications | Differential Calculus | Khan Academy 16:48 The Indefinite Integral or Anti-derivative 9:29 Indefinite integrals (part II) 9:30 Indefinite Integration (part III) 9:52 Indefinite Integration (part IV) 9:50 Indefinite Integration (part V) 9:12 Integration by Parts (part 6 of Indefinite Integration) 9:35 Indefinite Integration (part 7) 9:40 Another u-subsitution example 5:57 Introduction to definite integrals 9:19 Definite integrals (part II) 9:16 Definite Integrals (area under a curve) (part III) 9:46 Definite Integrals (part 4) 9:52 Definite Integrals (part 5) 9:57 Definite integral with substitution 8:54 Integrals: Trig Substitution 1 7:38 Integrals: Trig Substitution 2 8:11 Integrals: Trig Substitution 3 (long problem) 17:52 Periodic Definite Integral 15:43 Simple Differential Equations 14:26 Solid of Revolution (part 1) 10:05 Solid of Revolution (part 2) 7:31 Solid of Revolution (part 3) 8:59 Solid of Revolution (part 4) 8:22 Solid of Revolution (part 5) 9:30 Solid of Revolution (part 6) 9:19 Solid of Revolution (part 7) 10:06 Solid of Revolution (part 8) 4:15 Sequences and Series (part 1) 9:49 Sequences and series (part 2) 10:04 Maclauren and Taylor Series Intuition 12:59 Cosine Taylor Series at 0 (Maclaurin) 5:38 Sine Taylor Series at 0 (Maclaurin) 6:33 Taylor Series at 0 (Maclaurin) for e to the x 6:10 Euler's Formula and Euler's Identity 11:27 Visualizing Taylor Series Approximations 6:01 Generalized Taylor Series Approximation 7:27 Visualizing Taylor Series for e^x 6:38 Polynomial approximation of functions (part 1) 9:45 Polynomial approximation of functions (part 2) 10:04 Approximating functions with polynomials (part 3) 7:14 Polynomial approximation of functions (part 4) 10:00 Polynomial approximations of functions (part 5) 9:25 Polynomial approximation of functions (part 6) 10:00
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