Calculus Calculators: (9) lessons


Arithmetic and Geometric and Harmonic Sequences
This will take an arithmetic series or geometric series or harmonic series, and an optional amount (n), and determine the following information about the sequence
1) Explicit Formula
2) The remaining terms of the sequence up to (n)
3) The sum of the first (n) terms of the sequence Also known as arithmetic sequence, geometric sequence, and harmonic sequence
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Derivatives
This lesson walks you through the derivative definition, rules, and examples including the power rule, derivative of a constant, chain rule
Lesson

Functions-Derivatives-Integrals
Given a polynomial expression, this calculator evaluates the following items:
1) Functions ƒ(x).  Your expression will also be evaluated at a point, i.e., ƒ(1)
2) 1st Derivative ƒ'(x)  The derivative of your expression will also be evaluated at a point, i.e., ƒ'(1)
3) 2nd Derivative ƒ''(x)  The second derivative of your expression will be also evaluated at a point, i.e., ƒ''(1)
4)  Integrals ∫ƒ(x)  The integral of your expression will also be evaluated on an interval, i.e., [0,1]
5) Using Simpsons Rule, the calculator will estimate the value of ≈ ∫ƒ(x) over an interval, i.e., [0,1]
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Integrals
This lesson walks you through the integral definition, rules, and examples
Lesson

L'Hôpital's Rule
This lesson walks you through L'Hôpitals's Rule including the definition, pronunciation, notation, and examples
Lesson

Limit of a Function
This lesson walks you through what limit is, how to write limit notation, and limit theorems
Lesson

Ordered Pair
This calculator handles the following conversions:
* Ordered Pair Evaluation and symmetric points including the abcissa and ordinate
* Polar coordinates of (r,θ°) to Cartesian coordinates of (x,y)
* Cartesian coordinates of (x,y) to Polar coordinates of (r,θ°)
* Quadrant (I,II,III,IV) for the point entered.
* Equivalent Coordinates of a polar coordinate
* Rotate point 90°, 180°, or 270°
* reflect point over the x-axis
* reflect point over the y-axis
* reflect point over the origin
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Sequences
Given a function a(n) and a count of sequential terms you want to expand (n), this calcuator will determine the first (n) terms of your sequence, {a1, a2, ..., an}
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Sigmoid Function
Calculates the Sigmoid Function S(x) given an x value
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