HACT WorkshopCAS in Calculus

Bekki George bekki@math.uh.edu

AP Calculus Resource Site

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

Over 40 Online Quizzesand 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

• 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?• Graphs f1=-x+2

f2=1/x^2

f=piecewise([[(-1,1),f1],[(1,3),f2]])

f.plot()

• Calculate limits

limit((x^2-25)/(x-5),x=5)

derivativesf=sin(x^3)+x*cos(x)

diff(f,x) // or diff(f,x,n) to find the nth derivative

integralsintegral(3*x^2,x)

integral(x*sin(x^2),x,0,pi/2)

• 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: Calculushttp://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)) + ") :"

----------------------------------------

" \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

Condition to show (under advanced):First two boxes: h>0Last two boxes: h=0

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