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 2: Equations 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: