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Implementing Technology into an Improper Integral Investigation

Implementing Technology into an Improper Integral Investigation. Ryan Fox & Brian Gleason Doctoral Students University of Georgia. Goals for Today’s Presentation. Provide the motivation for the investigation Present the examples from the investigation

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Implementing Technology into an Improper Integral Investigation

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  1. Implementing Technology into an Improper Integral Investigation Ryan Fox & Brian Gleason Doctoral Students University of Georgia

  2. Goals for Today’s Presentation • Provide the motivation for the investigation • Present the examples from the investigation • Discuss the role of using technology in activity like this

  3. The Original Investigation • Exercises that started the investigation (Anton, Bivens, & Davis 2002): • Notice a pattern?

  4. The First Pattern • What the class came up with… • Starting to implement technology • Looking at the graphs. Graphing Calculator File. • What happens if we choose a computer program that can manipulate symbols? Output from a Maple file.

  5. Extending the Pattern… • What about changing the lower limit of integration? • Here are some of the exercises we looked at.

  6. Quick Question • Did the previous exercises modify the conjecture? • What were those changes, if they were made?

  7. How does technology help with recognizing the patterns? • Looking at graphs. Graphing Calculator File #2. • Looking at the output from Maple.

  8. Extending the Pattern…(Part 2) • What happens when we change the value of the exponent? In particularly, what about when the value of the exponent is less than 1? • Here are some of the exercises we tackled…

  9. Where to go from here? • How far can computer software that manipulates symbols help us with calculations? • Can technology, like Maple, help to verify or prove what we have worked on?

  10. Thanks so much! See our websites by Googling our names (Ryan Fox & Brian Gleason) and “UGA”

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