1. An Interactive, Online, Single-Variable Calculus Text

2. Background: Project CALC
Calculus As a Laboratory Course
Funded by NSF,
First edition textbook/lab materials published by Houghton Mifflin (D. C. Heath), 1996
Online lab modules developed as the Connected Curriculum Project,
Materials still in use at some colleges
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An Interactive, Online, Single-Variable Calculus Text

3. An Interactive, Online, Single-Variable Calculus Text
Project CALC Awards
Also named A Program That Works by Project Kaleidoscope, 1993
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An Interactive, Online, Single-Variable Calculus Text

4. An Interactive, Online, Single-Variable Calculus Text
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.
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An Interactive, Online, Single-Variable Calculus Text

5. An Interactive, Online, Single-Variable Calculus Text
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
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An Interactive, Online, Single-Variable Calculus Text

6. An Interactive, Online, Single-Variable Calculus Text
The Second Edition
Our desires:
Make the text flexible, hyperlinked, interactive, richly illustrated, and available at low cost
Demonstrate feasibility of an online text
Support: NSF grant to MAA for the Online Books Project
Objective: Redesign and redevelop the textbook entirely online
Publication: MAA will publish the online text in 2010 (available free for AY 09-10)
11/26/2018
An Interactive, Online, Single-Variable Calculus Text

7. An Interactive, Online, Single-Variable Calculus Text
Issues
Navigation
Directory and file structure
Design
Illustrations
Interactivity
Technical requirements
Presentation of mathematics
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An Interactive, Online, Single-Variable Calculus Text

8. Presentation of Mathematics
XHTML files for main body of text
HTML files for front page, tables of contents, pop-ups
MathML formulas, created by WebEQ, in main pages
asciiMathML formulas in pop-ups and in main pages
Flash applets, javascript pop-ups, and Maple, Mathcad, and Mathematica CAS files for interactions
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An Interactive, Online, Single-Variable Calculus Text

9. An Interactive, Online, Single-Variable Calculus Text
Table of Contents
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 Calculus and its Uses
Probability and Integration
Polynomial and Series Representations of Functions
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An Interactive, Online, Single-Variable Calculus Text

10. An Interactive, Online, Single-Variable Calculus Text
Sample Pages
Front Page
Chapter Tables of Contents (Ch. 4)
Chapter openers - “About this Chapter” (4.0)
Text pages (4.4.1)
Activity including Flash applet (2.4.3)
Activity including CAS files (6.2.1)
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An Interactive, Online, Single-Variable Calculus Text

11. An Interactive, Online, Single-Variable Calculus Text
Sample Pages
Checkpoints (6.1.2)
Exercises (5.1)
WeBWorK Exercises (4.5)
Making connections (6.3.4)
Chapter Summary (Ch. 3)
Projects (Ch. 4)
Projects (Ch. 7)
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An Interactive, Online, Single-Variable Calculus Text

12. Previews of Coming Attractions
Routine exercises in WeBWorK
Instructor’s Guide by Sr. Barbara Reynolds
All mathematical diagrams in consistent style in SVG, Troy Henderson
Sections on use/misuse of CAS and on convergence of series to the “right” function
More projects
Enrichment material (applications, theory)
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An Interactive, Online, Single-Variable Calculus Text

13. Classroom Test Sites Class tested at Hood College, 2006-2009
New test sites,
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An Interactive, Online, Single-Variable Calculus Text

14. An Interactive, Online, Single-Variable Calculus Text
Online PREP Workshop
Title: Calculus: Online and Interactive
Dates: June 22-26, 2009
Presenters:
Lang Moore and David Smith, Duke University
Kimberly Tysdal, Hood College
Maria Andersen, Muskegon Community College
Mike Gage, University of Rochester
Workshop web page:
11/26/2018
An Interactive, Online, Single-Variable Calculus Text

15. An Interactive, Online, Single-Variable Calculus Text
11/26/2018
An Interactive, Online, Single-Variable Calculus Text