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Calculus Summary | R
http://qindex.info/d.php?c=5028#3679

Calculus Summary | R
http://qindex.info/d.php?c=5028#3660

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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