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Welcome This is a Web-based Community for the development and sharing of an assorted variety of mathematics content. It is intended to serve as a virtual meeting place for the exchange of ideas pertaining to mathematics courses at UTSA. There are many resources available beyond the News Articles listed below. Especially important is the Forum section that you can select from panel at left labeled Modules. Thank you and enjoy. –Crissy Ruffo |
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calculus: Calculus I Optimization Problem
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Consider the following problem: A farmer with 750 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle. What is the largest possible total area of the four pens? Here is a SAGE program to estimate the answer using both the animate and the @interact commands. Then I settle the question using calculus methods.
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This worksheet uses the @interact SAGE function to create a GUI that's will plot up to 3 graphs on a single axis, and has the option to fit the y-axis to the given functions (similar to the "zoom fit" option on TI graphing calculators). Designed to help visualize the relationship between a function and it's first and second derivatives. Here is an example of what the output looks like:
View HTML page: Plot Tool Sage.html
Download Workshseet: Plot Tool.sws
Visit Forum Post: Plot Tool
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numerical: Nonlinear One Variable Equation Numerical Solver
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numerical: Steffensen's Method for Finding Roots
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numerical: Fixed Point Method for Finding Roots
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