Week 13

Monday, April 16, 2007

  • solved for eigenvalues and eigenvectors in Maple V.
  • when typing in eignvector(A), (A being the original matrix), the answers you recieve in brackets are:
    • first number - eigen value
    • second number - multiplicity (for equilibrium, must be 1)
    • third set of numbers - eigen vector.
  • Went back to the population problem from Friday and solved it in the above mentioned way.
  • Converted the eigenvector into percentage to find equlibrium population in this way.
  • Discussed what will be on Wednesday's test.
  • Discussed possibility of a 3-way Markoff problem.

Wednesday, April 18, 2007
Took test #1.

Friday, April 20, 2007

  • Used Maple to implicitly plot and solve for functions (keeps trying next closest number until answer is found).
  • learned how to use the quadratic formula to solve for the exact answers.
  • tried an example of a physics projectile problem using the graphing feature of Maple V.
  • to make something a nice circle, plug in maple: scaling=constrained.
  • Also, when working with implicit differentiation in Maple, make sure to type in with(plots); at the top of the page.
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