Calculus Index
 

 
 
 
 
 
A Video on Epsilon-Delta Limits
    A Streaming Video 
http://curvebank.calstatela.edu/videolimit/videolimit.htm

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/derrules/derrules.htm
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
    Leibniz on the Derivative:  Acta Eruditorum (1684)
http://curvebank.calstatela.edu/derrules/derrules.htm
    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