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Intro to Calculus: Zeno's Paradox
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Classroom Contents
Lit Calculus
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- 1 Intro to Calculus: Zeno's Paradox
- 2 Definition of the Limit
- 3 Right- and Left-hand Limits
- 4 tan(x) & Vertical Asymptotes
- 5 More Vertical Asymptotes: sec^2(x)
- 6 Asymptotes of a Rational Function
- 7 A Nasty Rational Function
- 8 The Limit Laws
- 9 Limit Laws & Polynomials
- 10 Limit Laws & Rational Functions
- 11 Squeeze Theorem
- 12 Continuity: 3 ways it fails
- 13 Continuity: Two Examples
- 14 Continuity: Properties
- 15 Intermediate Value Theorem
- 16 Rate of Change & Tangent Line
- 17 Limit Definition of Derivative
- 18 The Derivative as a Function
- 19 Derivative of Square Root
- 20 Derivative: Power Rule
- 21 Derivative: Sum/Difference Rule
- 22 Derivative of e^x
- 23 Derivative: Product Rule
- 24 Derivative: Quotient Rule
- 25 Derivative Example Requiring Both Quotient and Product Rule
- 26 Derivative of sin(x)
- 27 17th derivative of sin(x)
- 28 Derivative of tan(x) -- and the other trig functions
- 29 Trig derivative example
- 30 Motivating Chain Rule
- 31 Justifying the Chain Rule
- 32 Chain Rule Examples
- 33 Derivative of a^x
- 34 Intro to Implicit Differentiation
- 35 Implicit Differentiation Example
- 36 Second Derivative Using Implicit Differentiation
- 37 Derivative of ln(x)
- 38 Logarithmic Differentiation
- 39 Derivative of Arcsine
- 40 Derivatives of Inverse Trig Functions
- 41 Extrema of Function
- 42 Extreme Value Theorem
- 43 First Derivative Test
- 44 Second Derivative and Concavity
- 45 Sketching the Graph of a Polynomial
- 46 Sketching Graph of Rational Function
- 47 L'Hospital's Rule: Zero Over Zero?
- 48 L'Hospital's Rule: Infinity Over Infinity?
- 49 L'Hospital's Rule: Infinity Minus Infinity?
- 50 L'Hospital's Rule: Zero To The Zero?
- 51 Optimization: Closest Point
- 52 Optimization: Largest Rectangle in Semicircle
- 53 Optimization: Largest Box
- 54 Optimization: Largest Cone Cup
