Math Websites of the week for Math 213(212) (Multi-Variable Calculus)

Each week during the semester, we will introduce one or more websites which will be useful and
fun for your Math 213 course.

General Links:

Math Archive: http://archives.math.utk.edu/topics/multivariableCalculus.html

The Connected Curriculum Project - Montana State University
Georgia Tech Vector Calculus Home Page
Harvey Mudd College Mathematics Tutorials
Math 2507 online notes
World Web Math - Vector Calculus (MIT)
Multivariate Calculus With Maple (University of Albany)
Multivariable Calculus Online (East Tennessee State University)
 

Week 0: If you need to do some calculus calculation, you will find this website helpful

               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
                    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)
                       Calculate partial fraction of a rational function
                  http://mss.math.vanderbilt.edu/~pscrooke/MSS/partialfract.html

Week 1:   Dot Product Java Applet                                                                              http://www.cs.brown.edu/exploratories/freeSoftware/repository/edu/brown/cs/exploratories/applets/dotProduct/dot_product_guide.html
              Dot Products and Projections http://oregonstate.edu/dept/math/CalculusQuestStudyGuides/vcalc/dotprod/dotprod.html
              Cross Product http://oregonstate.edu/dept/math/CalculusQuestStudyGuides/vcalc/crossprod/crossprod.html
              The Algebra and Geometry of Euclidean Space http://omega.albany.edu:8008/calc3/intro2-ga-toc.html
              Vectors http://omega.albany.edu:8008/calc3/vectors-dir/cornell-lecture.html
              Dot Product http://omega.albany.edu:8008/calc3/dot-product-dir/cornell-lecture.html
              Cross product http://omega.albany.edu:8008/calc3/cross-product-dir/cornell-lecture.html

Week 2Equations of Lines and Planes http://oregonstate.edu/dept/math/CalculusQuestStudyGuides/vcalc/lineplane/lineplane.html
             Vector Functions http://oregonstate.edu/dept/math/CalculusQuestStudyGuides/vcalc/vec_fnc/vec_fnc.html
             Tangent Vector, and Arc Length http://oregonstate.edu/dept/math/CalculusQuestStudyGuides/vcalc/arc/arc.html
             Velocity and Acceleration http://oregonstate.edu/dept/math/CalculusQuestStudyGuides/vcalc/velacc/velacc.html
             Vector Functions http://omega.albany.edu:8008/calc3/vector-funcs-toc.html

Week 3: Kepler's laws http://home.cvc.org/science/kepler.htm
             Kepler's laws  http://csep10.phys.utk.edu/astr161/lect/history/kepler.html
             Kepler's Laws http://www.alcyone.com/max/physics/kepler/
             Kepler's Laws http://www.sunsite.ubc.ca/LivingMathematics/V001N01/UBCExamples/Kepler/kepler.html
             Kepler's Laws http://observe.arc.nasa.gov/nasa/education/reference/orbits/orbit_sim.html
             Orbital Mechanics 101 http://aerospacescholars.jsc.nasa.gov/HAS/cirr/ss/2/4.cfm
             Historical Background of Newton's Principia and Kepler's law http://members.tripod.com/~gravitee/history.htm
             The PRINCIPIA, by Issac Newton http://members.tripod.com/~gravitee/principia.htm

Week 4:

Week 5: Directional Derivative Applet http://math.etsu.edu/MultiCalc/Chap2/Chap2-7/tools.htm
 

Week 6:

Week 7:

Week 8:

Week 9:

Week 10:
 

Week 11:
 

Week 12:


Created by Junping Shi, August 26th, 2003
Any comments? send to shij@math.wm.edu