trustle > EngliSea > M > Math > 60 Calculus
 
 Calculus Summary
http://qindex.info/i.php?f=5028#3679
 
 Calculus Summary
http://qindex.info/i.php?f=5028#3660
 
 01 Essence of calculus
Essence of calculus, chapter 1
http://qindex.info/i.php?f=5028#5182
 
 01 The Greeks, Newton and Leibniz
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/i.php?f=5028#5032
 
 01 What Is a Derivative?
What Is a Derivative?
http://qindex.info/i.php?f=5028#5205
 
 01 What is Calculus?
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/i.php?f=5028#5121
 
 02 The paradox of the derivative
The paradox of the derivative | Essence of calculus, chapter 2
http://qindex.info/i.php?f=5028#5183
 
 02 The Slope of a Tangent Line
Understanding Differentiation Part 1: The Slope of a Tangent Line
http://qindex.info/i.php?f=5028#5033
 
 02 The Tangent Line and the Derivative
A tangent line to a point A is the limit of the secant lines as P approaches A.
http://qindex.info/i.php?f=5028#5122
 
 03 Derivative formulas through geometry
Derivative formulas through geometry | Essence of calculus, chapter 3
http://qindex.info/i.php?f=5028#5185
 
 03 Product Rule for Derivatives
Product Rule for Derivatives (Calculus)
http://qindex.info/i.php?f=5028#5124
 
 03 Rates of Change
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/i.php?f=5028#5034
 
 04 Limits and Limit Laws in Calculus
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/i.php?f=5028#5029
 
 04 The Quotient Rule
The Quotient Rule (Calculus)
http://qindex.info/i.php?f=5028#5125
 
 04 Visualizing the chain rule and product rule
Visualizing the chain rule and product rule | Essence of calculus, chapter 4
http://qindex.info/i.php?f=5028#5186
 
 05 Derivatives of exponentials
Derivatives of exponentials | Essence of calculus, chapter 5
http://qindex.info/i.php?f=5028#5184
 
 05 What is a Derivative?
What is a Derivative? Deriving the Power Rule
http://qindex.info/i.php?f=5028#5051
 
 06 Derivatives of Polynomial Functions
Power Rule, Product Rule, and Quotient Rule
http://qindex.info/i.php?f=5028#5052
 
 06 Implicit differentiation, what's going on here?
Implicit differentiation, what's going on here? | Essence of calculus, chapter 6
http://qindex.info/i.php?f=5028#5187
 
 07 Derivatives of Trigonometric Functions
Derivatives of Trigonometric Functions
http://qindex.info/i.php?f=5028#5053
 
 07 Limits
Limits | Essence of calculus, chapter 7
http://qindex.info/i.php?f=5028#5188
 
 08 Derivatives of Composite Functions: The Chain Rule
Derivatives of Composite Functions: The Chain Rule
http://qindex.info/i.php?f=5028#5054
 
 08 Integration and the fundamental theorem of calculus
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/i.php?f=5028#5189
 
 09 Derivatives of Logarithmic and Exponential Functions
Derivatives of Logarithmic and Exponential Functions
http://qindex.info/i.php?f=5028#3387
 
 09 What does area have to do with slope?
What does area have to do with slope? | Essence of calculus, chapter 9
http://qindex.info/i.php?f=5028#5190
 
 10 Higher order derivatives
Higher order derivatives | Essence of calculus, chapter 10
http://qindex.info/i.php?f=5028#5191
 
 11 Taylor series
Taylor series | Essence of calculus, chapter 11
http://qindex.info/i.php?f=5028#5192
 
 17 What is Integration?
Finding the Area Under a Curve
http://qindex.info/i.php?f=5028#5123
 
 18 The Fundamental Theorem of Calculus
Redefining Integration
http://qindex.info/i.php?f=5028#3415
 
 19 Properties of Integrals and Evaluating Definite Integrals
Properties of Integrals and Evaluating Definite Integrals
http://qindex.info/i.php?f=5028#3416
 
 20 Evaluating Indefinite Integrals
Evaluating Indefinite Integrals
http://qindex.info/i.php?f=5028#3417
 
 21 Evaluating Integrals With Trigonometric Functions
Evaluating Integrals With Trigonometric Functions
http://qindex.info/i.php?f=5028#3418
 
 22 Integration Using The Substitution Rule
Integration Using The Substitution Rule
http://qindex.info/i.php?f=5028#3419
 
 23 Integration By Parts
Integration By Parts
http://qindex.info/i.php?f=5028#3420
 
 24 Integration by Trigonometric Substitution
Integration by Trigonometric Substitution
http://qindex.info/i.php?f=5028#3421
 
 25 Advanced Strategy for Integration in Calculus
Advanced Strategy for Integration in Calculus
http://qindex.info/i.php?f=5028#3422
 
 26 Evaluating Improper Integrals
Evaluating Improper Integrals
http://qindex.info/i.php?f=5028#3423
 
 27 Finding the Area Between Two Curves by Integration
Finding the Area Between Two Curves by Integration
http://qindex.info/i.php?f=5028#3424
 
 28 Calculating the Volume of a Solid of Revolution by Integration
Calculating the Volume of a Solid of Revolution by Integration
http://qindex.info/i.php?f=5028#3425
 
 29 Calculating Volume by Cylindrical Shells
Calculating Volume by Cylindrical Shells
http://qindex.info/i.php?f=5028#3426
 
 30 The Mean Value Theorem For Integrals: Average Value of a Function
The Mean Value Theorem For Integrals: Average Value of a Function
http://qindex.info/i.php?f=5028#3427
 
 Taylor and Maclaurin Series
Taylor and Maclaurin Series
http://qindex.info/i.php?f=5028#5104
 
 The fundamental theorem of calculus
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/i.php?f=5028#5193
 
 What Is a Derivative?
What Is a Derivative?
http://qindex.info/i.php?f=5028#5204

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