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 Derivationhttp://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