HACT Workshop
CAS in Calculus
Bekki George
bekki@math.uh.edu
AP Calculus Resource Site
http://online.math.uh.edu/apcalculus/
Over 40 Online Quizzes
and AP Practices Exams
http://www.estudy.uh.edu/
Creating Your Own Online Tutorials
Jing (free):
http://www.techsmith.com/jing/
Jing – Student Projects
• Students can create videos on current topics
to share with the class
More Free Software
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Sage
Geogebra
Winplot
GraphCalc
SpaceTime
Sage
• http://sagemath.org
• http://wiki.sagemath.org/interact/calculus
• http://www.sagemath.org/library.html
What Can Sage Do?
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Graphs
f1=-x+2
f2=1/x^2
f=piecewise([[(-1,1),f1],[(1,3),f2]])
f.plot()
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Calculate
limits
limit((x^2-25)/(x-5),x=5)
derivatives
f=sin(x^3)+x*cos(x)
diff(f,x) // or diff(f,x,n) to find the nth derivative
integrals
integral(3*x^2,x)
integral(x*sin(x^2),x,0,pi/2)
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SAGE can verify laws
the product rule
function('f, g‘)
diff(f(t)*g(t),t)
and the quotient rule
diff(f(t)/g(t), t)
AND MUCH MORE!!!
Sage Quick Reference: Calculus
http://wiki.sagemath.org/quickref
Geogebra
• http://www.geogebra.org/
Create Dynamic Worksheets on Web
http://www.math.uh.edu/~bekki/e_d_limits.html
http://www.math.uh.edu/~bekki/sectan.html
Text boxes from SecTan
"Slope of the secant line through
(" + a + "," + (f(a)) + ") and
(" + (a + h) + "," + (f(a + h)) + ") :"
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Condition to show (under advanced):
First two boxes: h>0
Last two boxes: h=0
" \frac{f(" + a + "+h) - f(" + a + ")}{h} = " + m2
----------------------------------------"Slope of the tangent line at x=" + a + ":"
----------------------------------------"\lim_{h \to 0} \frac{f(" + a + "+h) - f(" + a + ")}{h} = " + m
Robert’s stuff
www.dkjohnson.us/TriangleTilingBaseColors2.html
Winplot
• http://math.exeter.edu/rparris/winplot.html
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GraphCalc
• http://www.graphcalc.com/
SpaceTime
• http://www.spacetime.us/
• Workshop III -Online!
November 13, 2010
• Jeff Morgan will present:
Exploring Mathematics with SpaceTime 4.0