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MERLOT II


    

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Calculus I from the Merlot Editorial Board

by merlot_math editorial_board
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Description:
This is a collection of materials for teaching a full course in the first semester or quarter calculus.
Course:
First Semester or Quarter Calculus

Authorized users only:


1.

Mathematical Visualization Toolkit


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.

Mathlets: JAVA Applets for Math Applications


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.

Mathematical Visualization Toolkit


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.

MathQ's (applets for calculus)


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.

Larry Green's Applet Page


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.

Mathematical Visualization Toolkit


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.

Riemann Sums


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.

MathQ's (applets for calculus)


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.

Calculus of the Dinner Table: Mathematical Modeling


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.

Fundamental Theorem of Calculus: An Investigation


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.
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