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Calculus Index

The Harmonic Series
A Streaming Video on the Harmonic Series

http://curvebank.calstatela.edu/hseries/hseries.htm
Graphing Calculator
AP Calculus Graphing Calculator Practice: Multiple Choice and Explanations
AB Level

http://curvebank.calstatela.edu/gcal/gcal.htm
BC Level

http://curvebank.calstatela.edu/gcal2/gcal2.htm

The Classic Brachistochrone
Calculus of the Brachistochrone: Animations, Derivations and History;

Figures from Bernoulli's original 1697 publication. (in four parts)

I. Animation

http://curvebank.calstatela.edu/brach/brach.htm
II. Derivation and Historical Background http://curvebank.calstatela.edu/brach2/brach2.htm
III. Bernoulli's Table

http://curvebank.calstatela.edu/brach3/brach3.htm
IV. Euler-Lagrange Derivation

http://curvebank.calstatela.edu/brach4/brach4.htm
V. Model from Florence, Italy

http://curvebank.calstatela.edu/brach5/brach5.htm

Definite Integral
Volume of a Solid of Revolution

http://curvebank.calstatela.edu/volrev/volrev.htm Volume and the Paraboloid

http://curvebank.calstatela.edu/paraboloid/paraboloid.htm Area of a Surface of Revolution

http://curvebank.calstatela.edu/arearev/arearev.htm Applications of the Definite Integral to Area and Volume: Enrichment

http://curvebank.calstatela.edu/torricelli/torricelli.htm

http://curvebank.calstatela.edu/calculusfolium/calculusdescartes.htm Series
Finding the Limit of a Geometric Series: Streaming Video

http://curvebank.calstatela.edu/series/series.htm Limits
Graphic Multiple Choice Practice

http://curvebank.calstatela.edu/limit/limit.htm Derivative
A Variety of Illustrations

http://curvebank.calstatela.edu/derivative/derivative.htm

http://curvebank.calstatela.edu/slope/slope.htm

http://curvebank.calstatela.edu/wattenberg1/wattenberg1.htm A Quartet of Topics
Mean Value Theorem, Newton's Method, Numerical Approximation of Integrals, Area as an Integral

http://curvebank.calstatela.edu/calculus/calculus.htm Vector Calculus
Coriolis Acceleration

http://curvebank.calstatela.edu/earth/earth.htm Historical Significance
Calculus of the Folium of Descartes

http://curvebank.calstatela.edu/calculusfolium/calculusdescartes.htm Calculus of the Lemniscate of Bernoulli

http://curvebank.calstatela.edu/lemniscate/lemniscate.htm Research on Teaching Calculus
Multiple Choice Illustration of Students' Reasoning; Derivative Practice

http://curvebank.calstatela.edu/funder/funder.htm

Uploaded March 10, 2004