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An Online Calculus Text for the iPadhttps://www.math.duke.edu/education/calculustext-rev11/
04/21/23 An Online Calculus Text for the iPad 2
Philosophy
riseslope
run
rise slope run
( ),dy
f xdx
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.
( ) 0,y a
04/21/23 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
04/21/23 An Online Calculus Text for the iPad 4
Table of Contents
1. Relationships2. Models of Growth:
Rates of Change3. Initial Value Problems4. Differential Calculus
and its Uses5. Modeling with
Differential Equations
6. Antidifferentiation7. The Fundamental
Theorem of Calculus8. Integral Calculus
and its Uses9. Probability and
Integration10.Polynomial and Series
Representations ofFunctions
04/21/23 An Online Calculus Text for the iPad 5
Classroom AdoptionsClass tested at 2006-2013
Now with all students using iPads
Additional sites, 2008-2013
04/21/23 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 …)
04/21/23 An Online Calculus Text for the iPad 7
An Online Calculus Text for the iPad
https://www.math.duke.edu/education/calculustext-rev11/