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4434Numerical integration simulation
http://www.merlot.org/merlot/viewMaterial.htm?id=75032
This is a Java-enhanced tutorial that allows students to learn about the rectangular, midpoint, and trapezoidal methods of numerical integration.Riemann Sums
http://www.merlot.org/merlot/viewMaterial.htm?id=75914
This applet visually represents Riemann sums, including left rectangle, right rectangle, midpoint, Simpson's, and trapezoidal. The relation of these sums to the antiderivative is explored.Visual Calculus: Applications of Integration
http://www.merlot.org/merlot/viewMaterial.htm?id=87490
A collection of tutorials (Flash and Java) on various applications of integration including area between two curves, volumes, arc length, work and centers of mass.Calculus Tutorials and Problems
http://www.merlot.org/merlot/viewMaterial.htm?id=322660
This subsite of Mathematics Tutorials and Problems (with applets) is divided into Interactive Tutorials, Calculus Problems, and Calculus Questions, Answers and Solutions. Here the user will find applets with guided exercises and many examples and worked out problems applicable to the first year of Calculus.Introduction to Calculus Applets
http://www.merlot.org/merlot/viewMaterial.htm?id=343859
This site consists of several dozen applets, each pertaining to a different aspect of single variable Calculus. Topics covered range from continuity and limits to differential equations and infinite series. Each applet is on a separate page that also includes detailed explanations of the concept under review along with suggestions for student experimentation with the applet. Each applet can be opened in a resizable window for better viewing as a classroom demonstration.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. Note: This project has a sequel entitled Fundamental Theorem of Calculus: An Investigation (listed under Interactive Lectures) in which the Fundamental Theorem of Calculus is investigated via the constructed model.Classroom Activities for Calculus
http://www.merlot.org/merlot/viewMaterial.htm?id=84699
This is a collection of activities for use in precalculus and single variable calculus. It is prefaced by a brief summary of what I know about group learning and how I use the activities. Many activities are quick combinations of discovery and practice. The statistics gets a bit lengthy, but I thought I'd include it anyway. As far as I recall, my text is only mentioned once and this posting should not be considered a commercial. Use the activities any way you want.Connected Curriculum Project - Materials for Precalculus
http://www.merlot.org/merlot/viewMaterial.htm?id=84777
The CCP includes modules that combine the flexibility and connectivity of the Web with the power of computer algebra systems such as Maple, Mathematica, MatLab and MathCad. The single-topic units can be used for a two-hour lab, or for a shorter supervised period with follow-up on the student's own time, or for self-study. Modules are organized into areas of precalculus, differential calculus, integral calculus, multivariable calculus, linear algebra, differential equations and engineering mathematics. Applications include those in biology, chemistry, physics, engineering, economics and environmental science.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.Note: This project has a prequel entitled Calculus of the Dinner Table: Mathematical Modeling (listed under Interactive Lectures) in which students construct the mathematical model for the king's eating speed. This prequel provides an excellent and engaging prelude to this activity.Mathlets: Computing Volumes using Integrals
http://www.merlot.org/merlot/viewMaterial.htm?id=315835
This is a collection of animations that interactively demonstrate the appearance of surfaces and solids of revolution and the cross-sections that are used to find volumes.