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An Online Calculus Text for the iPad https://math.duke/education/calculustext-rev11/

An Online Calculus Text for the iPad https://www.math.duke.edu/education/calculustext-rev11/. Philosophy. Central idea of calculus: (differential), (integral), using very small runs. The derivative is developed by zooming in to a very

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An Online Calculus Text for the iPad https://math.duke/education/calculustext-rev11/

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  1. An Online Calculus Text for the iPad https://www.math.duke.edu/education/calculustext-rev11/

  2. Philosophy Central idea of calculus: (differential), (integral), using very small runs. The derivative is developed by zooming in to a very small run. The integral is developed as solution to an initial value problem via Euler’s Method. An Online Calculus Text for the iPad

  3. Features of the Text • guided discovery learning • real-world applications as motivators • making connections – topics are not isolated • writing as window into students’ thinking • high expectations of students • emphasis on students checking their own work An Online Calculus Text for the iPad

  4. Relationships Models of Growth:Rates of Change Initial Value Problems Differential Calculus and its Uses Modeling with Differential Equations Antidifferentiation The Fundamental Theorem of Calculus Integral Calculusand its Uses Probability and Integration Polynomial and SeriesRepresentations ofFunctions Table of Contents An Online Calculus Text for the iPad

  5. Classroom Adoptions Class tested at 2006-2013 Now with all students using iPads Additional sites, 2008-2013 An Online Calculus Text for the iPad

  6. Adaptation for iPad from online text at http://calculuscourse.maa.org/ • Replaced all XHTML pages with HTML • Replaced all asciiMathML with MathJax • Replaced asciiMathML popup calculator with pure javascript + MathJax version(thanks to Peter Jipsen) • Replaced all Maple, Mathematica, Mathcad, and Flash interactions with Sage interact cells (thanks to Jason Grout, John Travis, Karl-Dieter Crisman, Dan Drake, Ira Hanson …) An Online Calculus Text for the iPad

  7. An Online Calculus Text for the iPad https://www.math.duke.edu/education/calculustext-rev11/ An Online Calculus Text for the iPad

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