Applied Linear Algebra and Numerical Analysis

Lecture Notes and m-files

• Section 1: Introduction to Numerical Methods ... 352sect1.pdf
  • plotODEsolution.m

• Section 2: Introduction Matlab ... 352sect2.pdf
  • newtonsqrt.m
  • fprintfexample.m

• Section 3: Representing and Using Functions ... 352sect3.pdf
  • f2.m
  • f2a.m
  • gc.m
  • plotgc.m
  • plotintgc.m

• Section 4: Plotting Functions ... 352sect4.pdf
  • plotfunction1.m
  • plotasymptotes.m
  • plothumps.m

• Section 5: Errors in Numerical Approximations ... 352sect5.pdf

• Section 6: Taylor Polynomials and Taylor Series ... 352sect6.pdf
  • TaylorEx1.m
  • TaylorEx2.m

• Section 7: Polynomial Interpolation ... 352sect7.pdf
  • DivDiff.m
  • polyfitEX.m
  • interpEX.m
  • DDTaylorCompareSine.m
  • DDTaylorCompareExp.m

• Section 8: Piecewise Polynomial Interpolation ... 352sect8.pdf
  • runge.m
  • plot1.m
  • pwquadinterp.m
  • pwquadtest.m
  • pwhermitecubic.m
  • pwquadEX.m
  • pwquadEXsine.m
  • pwspiral.m

• Section 9: Multidimensional interpolation ... 352sect9.pdf
  • MultiDlinear.m
  • MultiDPlot.m
  • triangle.m

• Section 10: Quadrature or Numerical Integration ... 352sect10.pdf

• Section 11: Recursive Functions and Adaptive Quadrature ... 352sect11.pdf
  • http://en.wikipedia.org/wiki/Tower_of_Hanoi
  • movedisks.m
  • adapquad.m
  • myfeval.m
  • testadapquadEX.m

• Section 12: Solving a Nonlinear Equation ... 352sect12.pdf
  • bisectiontest.m
  • newtonsmethodEX.m

• Section 13: Linear Vector Spaces ... 352sect13.pdf

• Section 14: Matrices ... 352sect14.pdf

• Section 15: Linear Systems of Equations ... 352sect15.pdf

• Section 16: More Linear Algebra ... 352sect16.pdf

• Section 17: Newton's Method for Nonlinear Systems ... 352sect17.pdf
  • newton2circles.m
  • newtonsys3.m

• Section 18: Least Squares Problems ... 352sect18.pdf

• Section 19: Eigenvalue problems ... 352sect19.pdf
• References (These will be updated from time to time)
  • MatlabIntro
  • Patriot Missile Paper