Each week during the semester, we will introduce one or more websites which will be useful and
fun for your Math 112 course.

Week 1:  Here are some weblinks which calculate integrals
                Riemann Sums  http://mss.math.vanderbilt.edu/~pscrooke/MSS/rs.html
                   (Left, right-endpoint sums, midpoint rule)
                Definite Integral http://mss.math.vanderbilt.edu/~pscrooke/MSS/definiteintegral.html
                Antiderivative http://mss.math.vanderbilt.edu/~pscrooke/MSS/antiderivative.html
                Numerical Integration http://mss.math.vanderbilt.edu/~pscrooke/MSS/numintegration.html
                    (midpoint, trapezoid, and Simpson)
               All these webpages are parts of a Mathematical Toolkit developed in Vanderbilt University.
               The link for the whole project is  MathServ http://math.vanderbilt.edu/mathserv/index.html
               and you will mostly use Calculus Toolkithttp://mss.math.vanderbilt.edu/~pscrooke/toolkit.html

               An alternate link for antiderivative is The Integrator  http://integrals.wolfram.com/
                 All links above are engined by Mathmatica, a commercial software.
                 Another set of Java Applets is based on Maple, see MapleNet - Tutorial Applets
                http://maplenet.maplesoft.com/maplets/
                (they seem slow and hard to load, but give better results)

               A story of Richard Feynmann and Logarithm http://faculty.rmwc.edu/tmichalik/feynman.htm
               or here http://www.craigr.com/books/surely.htm

Week 2:  Volume of solid of revolution

         Visualization of solid of revolution (disk and washer method)
         http://archives.math.utk.edu/visual.calculus/5/volumes.5/index.html
        Maple code for animation of solid of revolution
            http://www.jcu.edu/math/ictcm99/animations/Solid.html
        Visualization of solid of revolution (cylindrical shell method)
            http://archives.math.utk.edu/visual.calculus/5/volumes.6/index.html

                Tutorial for Calculus
              Calculus Tutorial from Harvey Mudd College  http://www.math.hmc.edu/calculus/tutorials/
              Karl's Calculus Tutor http://www.karlscalculus.org/calculus.html
              Visual Calculus http://archives.math.utk.edu/visual.calculus/
              Calculus on the Web http://www.math.temple.edu/~cow/

              Webpage which calculates partial fraction of a rational function
                http://mss.math.vanderbilt.edu/~pscrooke/MSS/partialfract.html
              Webpage which factors a polynomial
                http://mss.math.vanderbilt.edu/~pscrooke/MSS/factorpoly.html

Week 4: Career for a mathematics concentrator
                Why should I study math? I http://www.maa.org/careers/index.html
                Why should I study math? II http://www.ams.org/careers/archived.html
              Mathematics That Counts  http://www.siam.org/siamnews/mtc/mtc.htm

                More information available at http://www.ams.org/careers/
                                                        http://www.math.wm.edu/~klsmit/career.html

Week 5:  Improper Integral Tutorial
                   http://archives.math.utk.edu/visual.calculus/4/improper.2/index.html
             Visualization of Arc Length
              http://archives.math.utk.edu/visual.calculus/5/arclength.1/index.html
 

Week 6:   Visualization of center of mass
                  http://archives.math.utk.edu/visual.calculus/5/work.2/index.html
                 Information about Gabriel's horn or Torricelli's Trumpet (infinite surface area, and finite enclosed volume)
                  http://mathworld.wolfram.com/GabrielsHorn.html
              http://curvebank.calstatela.edu/torricelli/torricelli.htm
                Koch's snowflake (infinite arc length, and finite enclosed area)
                   http://scidiv.bcc.ctc.edu/Math/Snowflake.html
                   http://www.ecu.edu/si/cd/interactivate/activities/koch/

Week 7: Spring Break

Week 8:  Malthus' Essay on population "An Essay on the Principle of Population"
                   http://www.ac.wwu.edu/~stephan/malthus/malthus.0.html
                Dfield program online Java version http://math.rice.edu/~dfield/dfpp.html
                Interactive Differential Equations http://www.aw.com/ide/index.html
              Millennium Prize Problems http://www.claymath.org/Millennium_Prize_Problems/

Week 9: MathServ DE Toolkit  http://mss.math.vanderbilt.edu/~pscrooke/detoolkit.html
             Drawing a Direction Field  http://mss.math.vanderbilt.edu/~pscrooke/MSS/tangentfield.html
               Euler's Method   http://mss.math.vanderbilt.edu/~pscrooke/MSS/euler.html
             Solve a Separable Equation  http://mss.math.vanderbilt.edu/~pscrooke/MSS/sepode.html

Week 10: Orthogonal Trajectories http://www.aw.com/ide/Media/JavaTools/orthotrj.html
               Solve a Linear Equation http://mss.math.vanderbilt.edu/~pscrooke/MSS/linode.html

Week 11: Fibonacci Numbers and the Golden Section http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fib.html
             Calculating and Graphing Sequences http://mss.math.vanderbilt.edu/~pscrooke/MSS/sequence.html

Week 12: Calculating a series http://mss.math.vanderbilt.edu/~pscrooke/MSS/sum.html