The authors
have many materials available
| Lecture | Date | Topic/Section | Material |
|---|---|---|---|
| 1 | August 25, 2006 | Intro (1.1), Taylor Series (1.2) | [lecture01.pdf] [lecture01.print.pdf] [sinetrunc.m] [taylor_exp] [typ.m] |
| 2 | August 30, 2006 | Multiplication (1.1), Matlab, Numerical Representation (2.1) | [lecture02.pdf] [lecture02.print.pdf] |
| 3 | September 1, 2006 | Floating Point (2.2), Loss of Significance(2.3) | [lecture03.pdf] [lecture03.print.pdf] |
| 4 | September 6, 2006 | Floating Point (2.3), Rootfinding: Bisection(3.1) | [lecture04.pdf] [lecture04.print.pdf] [bracket.m] [myfunc.m] |
| 5 | September 8, 2006 | Newton's Method (3.2), Fractals, Secant Method (3.3) | [lecture05.pdf] [lecture05.print.pdf] [newtonfractal.m] |
| 6 | September 13, 2006 | Linear Algebra Review (App. D), GE (7.1) | [lecture06.pdf] [lecture06.print.pdf] (note: many slides) |
| 7 | September 15, 2006 | GE, Conditioning (7.1) | [lecture06.pdf] [lecture06.print.pdf] [testflop.m] [naiveGE.m] |
| 8 | September 20, 2006 | GE w/ pivoting (7.2) | [lecture08.pdf] [lecture08.print.pdf] [testGESPP.m] |
| 9 | September 22, 2006 | Tridiag, Banded (7.3) | [lecture09.pdf] [lecture09.print.pdf] [testsymmat.m] [testband.m] [genband.m] |
| 10 | September 27, 2006 | LU, Cholesky (8.1) | [lecture10.pdf] [lecture10.print.pdf] |
| 11 | September 29, 2006 | Iterative Methods (8.2), Review | [lecture11.pdf] [lecture11.print.pdf] [testsmoothing.m] |
| 12 | October 4, 2006 | Review | -- |
| -- | October 6, 2006 | Midterm Exam 1 | -- |
| 13 | October 11, 2006 | Polynomial Interpolation | [lecture13.pdf] [lecture13.print.pdf] [gasMonomials.m] |
| 14 | October 13, 2006 (drop deadline: details) |
Polynomial Interpolation | [lecture14.pdf] [lecture14.print.pdf] [ddtable.m] [newtoninterp.m] [testcheb.m] |
| 15 | October 18, 2006 | Differentiation | [lecture15.pdf] [lecture15.print.pdf] [diff_fwd.m] [diff_central.m] [diff_richard.m] [myrsums.m] |
| 16 | October 20, 2006 | Trapezoid Rule | [lecture16.pdf] [lecture16.print.pdf] [trapezoid.m] [demoTrap.m] [plotTrapInt.m] [expmx2.m] [myf.m] [xemx.m] |
| 17 | October 25, 2006 | Simpson's Rule | [lecture17.pdf] [lecture17.print.pdf] [simpson.m] [demoSimp.m] [demoSimpTrap.m] [plotSimpInt.m] [cotes.m] [testcotes.m] |
| 18 | October 27, 2006 | Gauss Quadrature | [lecture18.pdf] [lecture18.print.pdf] [comparerules.m] [demoGauss.m] [gaussQuad.m] [GLNodeWt.m] [GLTable.m] |
| 19 | November 1, 2006 | Splines | [lecture19.pdf] [lecture19.print.pdf] [spline1.m] |
| 20 | November 3, 2006 | Splines | [lecture20.pdf] [lecture20.print.pdf] [testspline.m] |
| 21 | November 8, 2006 | Splines/ODEs | [lecture21.pdf] [lecture21.print.pdf] [demoEuler.m] [dfield7.m] [odeEuler.m] [odeMidpt.m] [randpts.m] [rhs1.m] [bezier_demo.zip] |
| 22 | November 10, 2006 | Review | [lecture22.pdf] [lecture22.print.pdf] |
| -- | November 15, 2006 | Midterm Exam 2 | |
| 23 | November 17, 2006 | Numerical ODEs | see Lecture 21 |
| -- | November 22, 2006 (break) | -- | |
| -- | November 24, 2006 (break) | -- | |
| 24 | November 29, 2006 | Numerical ODEs | [lecture24.pdf] [lecture24.print.pdf] [rhs2.m] [rhsDecay.m] [compEMRK4.m] [odeRK4.m] [odeRK4.m] [demoODE45.m] [demoODE45args.m] [demoODE45opts.m] |
| 25 | December 1, 2006 | Monte Carlo | [lecture25.pdf] [lecture25.print.pdf] [surfer.m] [pagerank.m] [pagerankpow.m] [mcint.m] [harvard500.mat] |
| 26 | December 6, 2006 | Monte Carlo | [lecture26.pdf] [lecture26.print.pdf] [mcint.m] [mcint2dpi.m] [drivepi.m] |
| 27 | December 8, 2006 | Review | |
| -- | Tuesday December 12, 2006, 7-10pm | Final Exam |