| 1. |
| Added: 12/01/2009 This toolkit functions as a complex graphing calcuator, but also has applications where the student can explore what a tangent line is, the meaning of concavity, the max and min of a function, and others topics. |
| 2. |
| Added: 12/07/2009 Limits: JAVA Applets for Math Applications-
http://cs.jsu.edu/mcis/faculty/leathrum/Mathlets/limits.html
This is an applet that generates a table of nearby values of c for any c. Great for demonstrating the tabular approach to limits. |
| 3. |
| Added: 12/07/2009 Definition of the Derivative: Mathematical Visualization Toolkit
http://www.merlot.org/merlot/viewMaterial.htm?id=89767
The MVT is an application that allows for graphics plotted and features several learning activities. The Tangent Slider App will graph any function and allows the student to view the tangent line and secant line using sliders that move the point an the “h”. |
| 4. |
| Added: 12/07/2009 Derivative Rules -- MathQ's (applets for calculus)
http://www.merlot.org/merlot/viewMaterial.htm?id=82119
We need to use the Chain Rule section of this site. Description from the MERLOT site: The aim of these investigations is not to provide drill (although links to other resources on the web that do have been included in places), but to encourage students to think about why things happen the way they do in calculus. Such an understanding can be greatly useful both when rote memorization fails and when studying a new concept. Indeed, many concepts from the single variable calculus studied in APSC 171 form the foundations of later courses. The investigations have been designed to be quick and self-contained and should take at most ten or fifteen minutes each to complete. |
| 5. |
| Added: 12/07/2009 Derivatives and Graphing: Larry Green’s JAVA Applets
http://www.ltcconline.net/greenl/java/Other/DerivativeGraph/classes/DerivativeGraph.html
This is an activity where a graph is presented. Using a mouse, the student is challenged to sketch the graph of the derivative. The computer lags behind sketching the actual graph of the derivate so that the student can observe how accurate the student’s sketch is as the sketch is being created. |
| 6. |
| Added: 12/07/2009 Definition of the Derivative: Mathematical Visualization Toolkit
http://www.merlot.org/merlot/viewMaterial.htm?id=89767
The MVT is an application that allows for graphics plotted and features several learning activities. The Root Finding App will graph any function and goes through the iterations of Newton’s Method, showing the graphics until it finds an approximate solution. |
| 7. |
| Added: 12/07/2009 Numerical Integration and Area: Riemann Sums
http://www.slu.edu/classes/maymk/Riemann/Riemann.html
This an applet that allows the user to enter any function and bounds and have the computer approximation of the integral using each of the numerical methods from calculus. The rectangles or other appropriate shapes for the approximation are also generated. |
| 8. |
| Added: 12/07/2009 Fundamental Theorem of Calculus -- MathQ's (applets for calculus)
http://www.merlot.org/merlot/viewMaterial.htm?id=82119
We need to use the Introduction to Integration and the Fundamental Theorem of Calculus section of this site. Description (quoted from the site): In this learning object you will review the construction of the definite integral, and then observe that if you change one endpoint of the integration, the function that takes that endpoint as input and the value of the integral as input is an anti-derivative of the integrand. |
| 9. |
| Added: 12/07/2009 Fundamental Theorem of Calculus: Calculus of the Dinner Table—Mathematical Modeling
http://www.merlot.org/merlot/viewMaterial.htm?id=407971
Calculus students are presented with a write-pair-share activity that initially involves the construction of a model based on direct variation and later involves the use of calculus as a means by which to analyze the model. Suitable for either Calculus I or Calculus II students. |
| 10. |
| Added: 12/07/2009 Fundamental Theorem of Calculus: Fundamental Theorem of Calculus--An Investigation
http://www.merlot.org/merlot/viewMaterial.htm?id=407974
Calculus students are presented with a write-pair-share activity that leads them to a practical understanding of the Fundamental Theorem of Calculus. The activity involves analyzing a function that describes eating speed in a hypothetical dinner table experience. Suitable for either Calculus I or Calculus II students. |
