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An Interactive, Online, Single-Variable Calculus Text

An Interactive, Online, Single-Variable Calculus Text http://www.math.duke.edu/education/calculustext. Calculus As a Laboratory Course Funded by NSF, 1988-1995 First edition textbook/lab materials published by Houghton Mifflin (D. C. Heath), 1996

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An Interactive, Online, Single-Variable Calculus Text

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  1. An Interactive, Online, Single-Variable Calculus Text http://www.math.duke.edu/education/calculustext

  2. Calculus As a Laboratory Course Funded by NSF, 1988-1995 First edition textbook/lab materials published by Houghton Mifflin (D. C. Heath), 1996 Online lab modules developed as the Connected Curriculum Project, 1993-2001 Materials still in use at some colleges Background: Project CALC An Interactive, Online, Single-Variable Calculus Text

  3. Project CALC Awards Also named AProgram That Worksby Project Kaleidoscope, 1993 An Interactive, Online, Single-Variable Calculus Text

  4. 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 Interactive, Online, Single-Variable Calculus Text

  5. 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 Interactive, Online, Single-Variable Calculus Text

  6. 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) The Second Edition An Interactive, Online, Single-Variable Calculus Text

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

  8. 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 Presentation of Mathematics An Interactive, Online, Single-Variable Calculus Text

  9. 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 Interactive, Online, Single-Variable Calculus Text

  10. 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) Sample Pages An Interactive, Online, Single-Variable Calculus Text

  11. 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) Sample Pages An Interactive, Online, Single-Variable Calculus Text

  12. 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) Previews of Coming Attractions An Interactive, Online, Single-Variable Calculus Text

  13. Classroom Test Sites Class tested at Hood College, 2006-2009 New test sites, 2008-09 An Interactive, Online, Single-Variable Calculus Text

  14. 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: http://www.math.duke.edu/education/prep09/ Online PREP Workshop An Interactive, Online, Single-Variable Calculus Text

  15. An Interactive, Online, Single-Variable Calculus Text http://www.math.duke.edu/education/calculustext An Interactive, Online, Single-Variable Calculus Text

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