HACT Workshop CAS in Calculus

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HACT WorkshopCAS in Calculus

• Bekki George
• bekki_at_math.uh.edu

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AP Calculus Resource Site

• http//online.math.uh.edu/apcalculus/

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Over 40 Online Quizzesand AP Practices Exams

• http//www.estudy.uh.edu/

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Creating Your Own Online Tutorials

• Jing (free)
• http//www.techsmith.com/jing/

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Jing Student Projects

• Students can create videos on current topics to
  share with the class

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More Free Software

• Sage
• Geogebra
• Winplot
• GraphCalc
• SpaceTime

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Sage

• http//sagemath.org
• http//wiki.sagemath.org/interact/calculus
• http//www.sagemath.org/library.html

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What Can Sage Do?

• Graphs
• f1-x2
• f21/x2
• fpiecewise((-1,1),f1,(1,3),f2)
• f.plot()
• Calculate
• limits
• limit((x2-25)/(x-5),x5)
• derivatives
• fsin(x3)xcos(x)
• diff(f,x) // or diff(f,x,n) to find the nth
  derivative
• integrals
• integral(3x2,x)
• integral(xsin(x2),x,0,pi/2)
• SAGE can verify laws
• the product rule
• function('f, g)

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• Sage Quick Reference Calculus
• http//wiki.sagemath.org/quickref

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Geogebra

• http//www.geogebra.org/

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Create Dynamic Worksheets on Web
http//www.math.uh.edu/bekki/e_d_limits.html
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http//www.math.uh.edu/bekki/sectan.html
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Text boxes from SecTan

• "Slope of the secant line through
• (" a "," (f(a)) ") and
• (" (a h) "," (f(a h)) ") "
• ----------------------------------------
• " \fracf(" a "h) - f(" a ")h "
  m2
• -----------------------------------------
• "Slope of the tangent line at x" a ""
• -----------------------------------------
• "\lim_h \to 0 \fracf(" a "h) - f(" a
  ")h " m

Condition to show (under advanced) First two
boxes hgt0 Last two boxes h0
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Roberts stuff

• www.dkjohnson.us/TriangleTilingBaseColors2.html

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Winplot

• http//math.exeter.edu/rparris/winplot.html

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GraphCalc

• http//www.graphcalc.com/

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SpaceTime

• http//www.spacetime.us/
• Workshop III -Online!November 13, 2010
• Jeff Morgan will presentExploring Mathematics
  with SpaceTime 4.0