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 01 Essence of calculus | R Essence of calculus, chapter 1 http://qindex.info/d.php?c=5028#5182

 01 The Greeks, Newton and Leibniz | R Whether differential or integral both concepts involve the idea that we can do something infinately many times and get a finite answer that is useful. http://qindex.info/d.php?c=5028#5032

 01 What Is a Derivative? | R What Is a Derivative? http://qindex.info/d.php?c=5028#5205

 01 What is Calculus? | R In calculus you start with two big questions about functions. First how steep is a function at a point? Second what is the area underneath the graph over some region? http://qindex.info/d.php?c=5028#5121

 02 The paradox of the derivative | R The paradox of the derivative | Essence of calculus, chapter 2 http://qindex.info/d.php?c=5028#5183

 02 The Slope of a Tangent Line | R Understanding Differentiation Part 1: The Slope of a Tangent Line http://qindex.info/d.php?c=5028#5033

 02 The Tangent Line and the Derivative | R A tangent line to a point A is the limit of the secant lines as P approaches A. http://qindex.info/d.php?c=5028#5122

 03 Derivative formulas through geometry | R Derivative formulas through geometry | Essence of calculus, chapter 3 http://qindex.info/d.php?c=5028#5185

 03 Product Rule for Derivatives | R Product Rule for Derivatives (Calculus) http://qindex.info/d.php?c=5028#5124

 03 Rates of Change | R Galileo had already discovered some years prior that the distance traveled by a falling object is represented by a function of time. Newton wondered how one could calculate the velocity of the object at any particular instance during the fall. http://qindex.info/d.php?c=5028#5034

 04 Limits and Limit Laws in Calculus | R Asymptote: a straight line approached by a given curve as one of the variables in the equation of the curve approaches infinity http://qindex.info/d.php?c=5028#5029

 04 The Quotient Rule | R The Quotient Rule (Calculus) http://qindex.info/d.php?c=5028#5125

 04 Visualizing the chain rule and product rule | R Visualizing the chain rule and product rule | Essence of calculus, chapter 4 http://qindex.info/d.php?c=5028#5186

 05 Derivatives of exponentials | R Derivatives of exponentials | Essence of calculus, chapter 5 http://qindex.info/d.php?c=5028#5184

 05 What is a Derivative? | R What is a Derivative? Deriving the Power Rule http://qindex.info/d.php?c=5028#5051

 06 Derivatives of Polynomial Functions | R Power Rule, Product Rule, and Quotient Rule http://qindex.info/d.php?c=5028#5052

 06 Implicit differentiation, what's going on here? | R Implicit differentiation, what's going on here? | Essence of calculus, chapter 6 http://qindex.info/d.php?c=5028#5187

 07 Derivatives of Trigonometric Functions | R Derivatives of Trigonometric Functions http://qindex.info/d.php?c=5028#5053

 07 Limits | R Limits | Essence of calculus, chapter 7 http://qindex.info/d.php?c=5028#5188

 08 Derivatives of Composite Functions: The Chain Rule | R Derivatives of Composite Functions: The Chain Rule http://qindex.info/d.php?c=5028#5054

 08 Integration and the fundamental theorem of calculus | R The integral equals the antiderivative evaluated at the top bound, minus its value at the bottom bound. This fact is called 'the fundamental theorem of calculus'. http://qindex.info/d.php?c=5028#5189

 09 Derivatives of Logarithmic and Exponential Functions | R Derivatives of Logarithmic and Exponential Functions http://qindex.info/d.php?c=5028#3387

 09 What does area have to do with slope? | R What does area have to do with slope? | Essence of calculus, chapter 9 http://qindex.info/d.php?c=5028#5190

 10 Higher order derivatives | R Higher order derivatives | Essence of calculus, chapter 10 http://qindex.info/d.php?c=5028#5191

 11 Taylor series | R Taylor series | Essence of calculus, chapter 11 http://qindex.info/d.php?c=5028#5192

 17 What is Integration? | R Finding the Area Under a Curve http://qindex.info/d.php?c=5028#5123

 18 The Fundamental Theorem of Calculus | R Redefining Integration http://qindex.info/d.php?c=5028#3415

 19 Properties of Integrals and Evaluating Definite Integrals | R Properties of Integrals and Evaluating Definite Integrals http://qindex.info/d.php?c=5028#3416

 20 Evaluating Indefinite Integrals | R Evaluating Indefinite Integrals http://qindex.info/d.php?c=5028#3417

 21 Evaluating Integrals With Trigonometric Functions | R Evaluating Integrals With Trigonometric Functions http://qindex.info/d.php?c=5028#3418

 22 Integration Using The Substitution Rule | R Integration Using The Substitution Rule http://qindex.info/d.php?c=5028#3419

 23 Integration By Parts | R Integration By Parts http://qindex.info/d.php?c=5028#3420

 24 Integration by Trigonometric Substitution | R Integration by Trigonometric Substitution http://qindex.info/d.php?c=5028#3421

 25 Advanced Strategy for Integration in Calculus | R Advanced Strategy for Integration in Calculus http://qindex.info/d.php?c=5028#3422

 26 Evaluating Improper Integrals | R Evaluating Improper Integrals http://qindex.info/d.php?c=5028#3423

 27 Finding the Area Between Two Curves by Integration | R Finding the Area Between Two Curves by Integration http://qindex.info/d.php?c=5028#3424

 28 Calculating the Volume of a Solid of Revolution by Integration | R Calculating the Volume of a Solid of Revolution by Integration http://qindex.info/d.php?c=5028#3425

 29 Calculating Volume by Cylindrical Shells | R Calculating Volume by Cylindrical Shells http://qindex.info/d.php?c=5028#3426

 30 The Mean Value Theorem For Integrals: Average Value of a Function | R The Mean Value Theorem For Integrals: Average Value of a Function http://qindex.info/d.php?c=5028#3427

 Taylor and Maclaurin Series | R Taylor and Maclaurin Series http://qindex.info/d.php?c=5028#5104

 The fundamental theorem of calculus | R If f is Riemann integrable on [a,b] and F(x) is the integral of f(t) from a to b then F is continuous on [a,b]. Furthermore, if f is continuous on [a,b] then F is differentiable on [a,b] and F' = f. http://qindex.info/d.php?c=5028#5193

 What Is a Derivative? | R What Is a Derivative? http://qindex.info/d.php?c=5028#5204
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