The author
has many study materials available:
Guides: [Chapter 2] [Chapter 3] [Chapter 4] [Chapter 5] [Chapter 6] [Chapter 7] [Chapter 8]
Guides: [Chapter 2] [Chapter 3] [Chapter 4] [Chapter 5] [Chapter 6] [Chapter 7] [Chapter 8]
| Week | Lecture | Date | Topic | Section | Material |
|---|---|---|---|---|---|
| 1 | 1 | Tu Jan 17 | Course Intro, Numerical Methods and Analysis | 1.1 | [lecture1.pdf] |
| 1 | 2 | Th Jan 19 | Matlab Tutorial: Basics | 2.1-2.5 | [lecture2.pdf] [lecture2_handout.pdf] [grouse.dat] |
| 2 | 3 | Tu Jan 24 | Matlab Tutorial: Programming | 3.1-4.3 | [lecture3.pdf] [lecture3_handout.pdf] [newspy.m] |
| 2 | 4 | Th Jan 26 | Computational Errors: Digital Representation application: Intel Processors |
5.2 | [lecture4.pdf] |
| 3 | 5 | Tu Jan 31 | Computational Errors: Absolute, Relative, Truncation | 5.3 | [lecture5.pdf] [sinetrunc.m] [myeps.m] |
| 3 | 6 | Th Feb 2 | Root Finding: Basics, Fixed Point | 6.1,6.2 | [lecture6.pdf] [myfunc.m] [brackPlot.m] [fixedpoint.m] |
| 4 | 7 | Tu Feb 7 | Root Finding: Bisection | 6.3 |
[lecture7.pdf]
[gfunc.m]
[checkexp.m]
[fixedpointplot.m]
[lecture7_handout.pdf] [lecture7_handout_ans.pdf] [gfunc.m] |
| 4 | 8 | Th Feb 9 | Root Finding: Newton | 6.4 | [lecture8.pdf] [msetsv.m] [fern.m] [mandelbrot.m] [newtonfractal.m] |
| 5 | 9 | Tu Feb 14 | Root Finding: Secant | 6.5 | [lecture9.pdf] |
| 5 | 10 | Th Feb 16 | Linear Algebra: Review | 7.1-7.5 | [lecture10.pdf] |
| 6 | 11 | Tu Feb 21 | Linear Algebra: Review, Solving Systems | 7.5-8.1 | [lecture11.pdf] |
| 6 | 12 | Th Feb 23 | Linear Algebra: Gaussian Elimination Algorithms application:Graphics |
8.2-8.3 | [lecture12.pdf] [testflop.m] [testflop2.m] [testflop2.fig] [testflop2.png] |
| 7 | 13 | Tu Feb 28 | Linear Algebra: Review | 8.2-8.3 | Review: See study guides above |
| 7 | 14 | Th Mar 2 | Midterm: Review | 5.1-8.3 | Review: See study guides above |
| 8 | 15 | Tu Mar 7 | Midterm 1 | - | - |
| 8 | 16 | Th Mar 9 | conditioning, interpolation | 8.3, 10.1 | [lecture16.pdf] |
| 9 | 17 | Tu Mar 14 | Interpolation: Monomials and Lagrange | 10.2 | [lecture17.pdf] [interp1.m] [interp2.m] |
| 9 | 18 | Th Mar 16 | Interpolation: Newton | 10.2 | [lecture18.pdf] [compInterp.m] [demoWiggle.m] |
| 10 | 19 | Tu Mar 21 | -spring break- | ||
| 10 | 20 | Th Mar 23 | -spring break- | ||
| 11 | 21 | Tu Mar 28 | Interpolation: Piecewise Polynomials | 10.3 | [lecture21.pdf] [example_newton.m] [example_wiggle.m] [example_interp.m] [plotnewtoninterp.m] [DDtable.m] |
| 11 | 22 | Th Mar 30 | Interpolation: Piecewise Polynomials | 10.3 | [lecture22_handout.pdf] [plottwopiecespline.m] [spline_summary] |
| 12 | 23 | Tu Apr 4 | Numerical Integration: Newton-Cotes | 11.1,11.2.1 | [demoTrap.m] [expmx2.m] [plotTrapInt.m] [trapezoid.m] [trapzDat.m] [trapzDatTest.m] [xemx.m] |
| 12 | 24 | Th Apr 6 | Numerical Integration: Newton-Cotes | 11.2.2 | [lecture24.pdf] [demoSimp.m] [classDemo.m] [plotSimpInt.m] [simpson.m] [xemx.m] |
| 13 | 25 | Tu Apr 11 | Numerical Integration: Gauss | 11.3 | [lecture25.pdf] [compIntRules.m] [demoGauss.m] [gaussQuad.m] [GLNodeWt.m] [GLTable.m] [humpInt.m] [simpson.m] [trapezoid.m] [xemx.m] |
| 13 | 26 | Th Apr 13 | Numerical Integration: Gauss Review | 11.3 | [lecture26.pdf] |
| 14 | 27 | Tu Apr 18 | Midterm | ||
| 14 | 28 | Th Apr 20 | IVP: Review, Euler | 12.1,12.2 | [lecture27.pdf] [ dfield7.m] [ demoEuler.m] [ odeEuler.m ] [ rhs1.m] [ rhs2.m ] |
| 15 | 29 | Tu Apr 25 | Errors, Midpoint | 12.3 | [lecture28.pdf] [compEM.m] [odeEuler.m] [odeMidpt.m] [rhs2.m] |
| 15 | 30 | Th Apr 27 | Runge-Kutta | 12.3 | [lecture29.pdf] [compEMRK4.m] [demoODE45args.m] |
| 16 | 31 | Tu May 2 | ODE Review, Final Review | ||
| 16 | 32 | Th May 4 | Final Review | ||
| 17 | 33 | Fr May 5 | Final Exam |
Some of the contents of these slides are based on author's.