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Wolfram Mathematica

Wolfram Mathematica Labs for Single and Multivariable Calculus
[Originally created with Mathematica 8.0] * denotes AP Calculus BC only

01: Investigating Limits [ .pdf ] [ .nb ]
02: Rates of Change [ .pdf ] [ .nb ]
03: The Derivative [ .pdf ] [ .nb ]
04: Derivatives Graphically [ .pdf ] [ .nb ]
05: Higher Derivatives [ .pdf ] [ .nb ]
06: Extrema [ .pdf ] [ .nb ]
07: Inflection Points [ .pdf ] [ .nb ]
08: Implicit Differentiation [ .pdf ] [ .nb ]
09: Differential Equations [ .pdf ] [ .nb ]
10: Integrals [ .pdf ] [ .nb ]
11: Riemann Sums [ .pdf ] [ .nb ]
12: Improper Integrals* [ .pdf ] [ .nb ]
13: Accumulating Functions [ .pdf ] [ .nb ]
14: Sequences and Series* [ .pdf ] [ .nb ]
15: Dot Product[ .pdf ] [ .nb ]
16: Cross Product [ .pdf ] [ .nb ]
17: Lines and Planes [ .pdf ] [ .nb ]
18: Curvature, T(t),N(t), B(t) [ .pdf ] [ .nb ]
19: Multivariable Functions [ .pdf ] [ .nb ]
20: Partial Derivatives [ .pdf ] [ .nb ]
21: The Chain Rule [ .pdf ] [ .nb ]
22: The Gradient [ .pdf ] [ .nb ]
23: Lagrange Multiplier [ .pdf ] [ .nb ]
00: Taylor Series with Mathematica [ .zip ]

Interactive Demonstrations: Calculus Concepts
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"The Tangent Line Problem" from the Wolfram Demonstrations Project
The Tangent Problem		 "The Quotient Rule" from the Wolfram Demonstrations Project
The Quotient Rule		 "Discontinuity" from the Wolfram Demonstrations Project
Discontinuity

"Mean Value Theorem" from the Wolfram Demonstrations Project
Mean Value Theorem

"Squeeze Theorem" from the Wolfram Demonstrations Project
Squeeze Theorem

"The Fundamental Theorem of Calculus" from the Wolfram Demonstrations Project
The Fundamental Theorem of Calculus
"Average Value of a Function" from the Wolfram Demonstrations Project
Average Value of a Function		 "Extreme Value Theorem" from the Wolfram Demonstrations Project
Extreme Value Theorem		 "Integral Mean Value Theorem" from the Wolfram Demonstrations Project
Integral Mean Value Theorem
"Intermediate Value Theorem" from the Wolfram Demonstrations Project
Intermediate Value Theorem		 "Integration by Riemann Sums" from the Wolfram Demonstrations Project
Riemann Sums: Integration		 "Area Between Curves" from the Wolfram Demonstrations Project
Area Between Curves
"Volumes Using the Disc Method" from the Wolfram Demonstrations Project
Disk Method		 "Solids of Known Cross Section" from the Wolfram Demonstrations Project
Solids of Known Cross Sections		 "Volumes of Revolution Using Cylindrical Shells" from the Wolfram Demonstrations Project
Shell Method
"Plot of a Geometric Sequence and Its Partial Sums" from the Wolfram Demonstrations Project
Geometric Sequence		 "Graphs of Taylor Polynomials" from the Wolfram Demonstrations Project
Taylor Polynomials		 "L'Hospital's Rule for 0/0 Forms" from the Wolfram Demonstrations Project
L'Hopital's Rule 0/0