Calculus Websites
Awesome site, huge, need to pick out specific applets
www.merlot.org
http://www.calculusapplets.com
Flash movies explaining limit, continuity, IVT and derivative rules
http://www.calculus-help.com/funstuff/phobe.html
Nice applets on limits, derivatives and integration. Good for volumes of
revolution. I like the graphical product rule, but students may find it complex
http://www.ies.co.jp/math/products/calc/menu.html
Flash movies explaining limit, continuity, IVT and derivative rules
http://www.calculus-help.com/funstuff/phobe.html
Continuity of piece-wise defined functions,
http://mathdemos.gcsu.edu/mathdemos/piecewise/piecewise_continuity.html
QuickTime movie
http://mathdemos.gcsu.edu/mathdemos/piecewise/Examples/Java_continuity.html
Java applets
10 examples, print out equations, Launch MultiGraph applet, choose example at
top of window, slide parameters to make the graph continuous
ID-1
Definition of Derivative, graphically
http://mathdemos.gcsu.edu/mathdemos/defofderiv/
ID-2/3
Choose Mathlets >> Derivative Plotter; open in a new window; sketches
derivative of given graph, several examples or used defined functions
http://www.joma.org
Choose Mathlets >> Differentiation; open in a new window; f, f’, f”
matching graphs
http://www.joma.org
ID-4
Scroll down to secants and tangents. I like the secant line behavior for
non-differentiable functions. Also look at zooming in on a tangent line. Further
down the page, check out a differentiable nowhere function.
www.math.psu.edu/dna/graphics.html
ID-6/7/8
Flash movies explaining derivative rules
http://www.calculus-help.com/funstuff/phobe.html
, chapter two, lessons 1 - 4
Scroll down to Derivatives, select product rule. This is a graphical
explanation of the product rule. It’s a great connection between area and
change, but students may find it complex.
http://www.ies.co.jp/math/products/calc/menu.html
ID-9
Motion along a line. Illustrations, explorations and problems about distance and
velocity. Particularly recommended for students who are not taking physics.
http://webphysics.davidson.edu/physlet_resources/physlet_physics/contents/mechanics/one_d_kinematics/default.html
MD-2
http://www.calculus-help.com/funstuff/phobe.html
, chapter two, lesson 5, chain rule
MD-6
Graphical visualization of derivative of inverse sin function
http://www.mph.net/coelsner/JSP_applets/InvFunThm.htm
Slopes of inverse functions are reciprocals.This software is a combination of
a graphing calculator and Geometer’s Sketchpad. Requires the latest version of
Java, link provided
http://www.geogebra.at/
MD-8
Differentiability of piece-wise defined functions
http://mathdemos.gcsu.edu/mathdemos/piecewise/Examples/Java_differentiability.html
Mean Value Theorem for Derivatives
http://www.teacherlink.org/content/math/interactive/flash/rolle/rolle.html
motion in 2D, design a roller coaster
http://www.funderstanding.com/k12/coaster/
Max/Min problem with animations
http://mathdemos.gcsu.edu/mathdemos/maxmin/maxmin.html
Related Rates
http://mathdemos.gcsu.edu/relatedrates/relatedrates.html
Minimum Time for Different Terrains
http://illuminations.nctm.org/ActivityDetail.aspx?ID=124
Riemann Sums
http://www.joma.org
Choose Mathlets >> Area Under a Curve; open in a new window; right click
to change function, select 5 poly b/c no symmetry, best for LRAM, RRAM, MRAM and
Trap
Another Riemann sums applet, includes L, R, M, Trap and Simpson’s Rule
http://www.slu.edu/classes/maymk/Riemann/Riemann.html
Visualizing the Mean Value Theorem for Integrals
http://math.dartmouth.edu/~klbooksite/appfolder/403unit/MVTIntegrals.html
Slope fields
http://alamos.math.arizona.edu/ODEApplet/JOdeApplet.html
Select JODE applet, then slope fields for f(x,y)
Awesome applet for slope fields, you can draw a solution curve atop the slope
field, it will compute the actual curve, it will show the family of curves, can
choose preset diff. eqns or input your own
http://math.dartmouth.edu/~klbooksite/appfolder/301unit/SlopeField.html
Volumes of Known Cross Sections
http://mathdemos.gcsu.edu/sectionmethod/sectiongallery.html
Student Models of Volumes of Known Cross Sections
http://www.dade.k12.fl.us/msprings/skoski/calc/
Volumes of Revolution – disk method
http://mathdemos.gcsu.edu/diskmethod/diskmethod.html
Gallery of Shapes for volumes of revolution
http://mathdemos.gcsu.edu/diskmethod/diskmethodgallery.html
Washers
http://mathdemos.gcsu.edu/washermethod/
Short movies of graphical concepts, not interactive, not a lot of options ,
use for areas and volumes of revolutions, also has polar graphs
http://clem.mscd.edu/~talmanl/MathAnim.html
I like Volume of solid of revolution 2, slides showing volume of rotation
with washers around a vertical line (not the y-axis), not interactive
http://www.convergesoftware.com/
choose slide shows, manual,
Download Winplot, an awesome, free, graphing program, graphs in 2D or 3D,
graphs explicit and implicit functions and differential equations (slope fields)
http://math.exeter.edu/rparris/winplot.html
General Winplot tutorial
http://www2.spsu.edu/math/Dillon/Peanutdocs/GaWinPlotTutorial.pdf
Winplot: graph a solid with known cross sections
After graphing the 2 curves that form the base (use y = 0 for the x-axis if
necessary) go to the pull down list called "TWO" and click on
"Sections" and fill in the things there. Then click on "See
Solid" and you'll get a 3D picture that can be rotated with the arrow keys
on your keyboard.
Winplot: graph solids of revolution
Under the "ONE" list you can choose "Revolve Surface" to see
solids of revolution and you'll get a 3D picture that can be rotated with the
arrow keys on your keyboard.
Operation Mother Hen (http://motherhen.eng.buffalo.edu) features streaming video clips of an instructor as she solves problems that illustrate basic calculus concepts, with close-ups of the problem so that students can see what she's doing as she explains. Math 141 is Calc AB with area/volume in Math 142. Math 142 continues with Calc BC topics. RealPlayer (free download) required.
Calculus on the Web (COW). You can register your class, they work on certain
problems you've assigned, and you get a report of problems completed. Its
EXCELLENT practice with immediate feedback for students - and easy for you to
grade! Good practice for skill problems, step by step breakdowns
http://cow.math.temple.edu/
Stuff You Need to Know Cold
http://fc.woodberry.org/~david_mcrae/BC_Cal/apindex.html
Same sheet in color
http://cs3.covenantchristian.org/bird/Smart/Calc1/StuffMUSTknowColdNew.htm
Flash cram sheet, includes some non-AP Calc AB stuff
http://www.calculus-help.com/funstuff/cheatsheet.html
Problem of the week archive
http://www.calculus-help.com/oldproblems.html
Calculus Carols
http://www.calculus-help.com/funstuff/carols.html
Calculus songs, poems and carols
http://www.wildstrom.com/susan/songs.htm
Here's a website for some songs.
http://homework.zendog.org/songsfall2004.html