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Warning - the material here is my personal MAT 267 "Advanced ODEs" notebook for 2012. No guarantee of any kind on anything that appears here.
12-334 (canceled) QualitativeAnalysis / Classes: 83-ODEs Classes: 8990-MAE305 Classes: 95-ODE Classes: 96-ODE QuadraticPortraits.html / 121120_Jordans_Tutorial_Notes.pdf AboutHandout.PDF CourseEvaluations.pdf Final.pdf FuchsTheorem.pdf MakeupTT.pdf SampleFinal.pdf SampleTT.pdf TT.pdf
<< Notebook Pages >>
| Page | Created (UT) | Last Modified (UT) | |
|---|---|---|---|
| 1 | 12-267 Post Mortem | 2012-09-23 16:20:55 | 2017-02-17 14:29:19 |
| 2 | High points | 2012-09-04 21:47:34 | 2012-09-05 15:01:00 |
| 3 | "About This Class" Draft | 2012-09-06 13:37:38 | 2012-09-09 21:28:30 |
| 4 | 267ODEs-120910 , Hour 1: The brachistochrone | 2012-09-08 13:58:58 | 2012-09-13 15:24:06 |
| 5 | 267ODEs-120911, Hour 2: More on the brachistochrone, the "about" handout | 2012-09-10 17:40:04 | 2012-09-13 15:58:39 |
| 6 | --- Hour 2 Splash Screen | 2012-09-11 12:44:18 | 2012-09-11 13:10:05 |
| 7 | --- The Tautochrone | 2012-09-13 15:51:15 | 2012-09-13 15:51:55 |
| 8 | 267ODEs-120914, Hour 3: Linear Equations | 2012-09-13 15:25:35 | 2012-09-15 20:40:27 |
| 9 | 267ODEs-120917, Hour 4: Separable Equations, Escape Velocities | 2012-09-15 20:38:59 | 2012-09-17 21:34:21 |
| 10 | --- Hour 4 Scratch | 2012-09-09 14:21:42 | 2012-09-17 21:36:16 |
| 11 | 267ODEs-120918, Hour 5: Other special cases | 2012-09-17 21:34:01 | 2012-09-18 12:36:15 |
| 12 | 267ODEs-120921, Hour 6: Exact Equations | 2012-09-19 13:33:36 | 2012-09-22 18:31:10 |
| 13 | --- Hour 6 HUJI | 2012-09-17 21:35:45 | 2012-09-23 16:35:48 |
| 14 | --- Hour 6 Scratch | 2012-09-20 01:03:00 | 2012-09-20 16:28:51 |
| 15 | --- House of Mirrors | 2012-09-20 23:02:19 | 2012-09-23 16:20:28 |
| 16 | 267ODEs-120924, Hour 7: Exact Equations | 2012-09-22 18:39:09 | 2012-09-24 15:07:19 |
| 17 | 267ODEs-120925, Hour 8: The Fundamental Theorem | 2012-09-23 16:32:17 | 2012-09-25 21:49:19 |
| 18 | --- Hour 8 HUJI | 2012-09-23 16:36:21 | 2012-09-23 16:42:14 |
| 19 | 267ODEs-120928, Hour 9: Proof of the Fundamental Theorem | 2012-09-23 16:32:17 | 2012-09-29 18:47:24 |
| 20 | 267ODEs-121001, Hour 10: The Fundamental Theorem: end of proof, further notes | 2012-09-29 18:44:57 | 2012-10-01 17:32:12 |
| 21 | Old time Euler-Lagrange | 2012-09-30 23:02:33 | 2012-10-05 01:42:06 |
| 22 | 267ODEs-121002, Hour 11: Euler-Lagrange | 2012-09-29 18:44:57 | 2012-10-02 20:51:51 |
| 23 | 267ODEs-121005, Hour 12: Euler-Lagrange - the easier cases | 2012-10-02 20:42:59 | 2012-10-06 23:13:14 |
| 24 | --- Hour 12 scratch | 2012-10-04 16:43:21 | 2012-10-04 17:01:09 |
| 25 | 267ODEs-121009, Hour 13: Lagrange Multipliers | 2012-10-06 23:10:54 | 2012-10-09 11:38:55 |
| 26 | Old time numerical methods | 2012-10-04 15:51:09 | 2012-10-12 00:07:50 |
| 27 | 267ODEs-121012, Hour 14: More Lagrange multipliers, numerical methods | 2012-10-11 15:45:12 | 2012-10-14 17:00:31 |
| 28 | 267ODEs-121015, Hour 15: Numerical methods - Euler and Improved Euler | 2012-10-12 19:35:02 | 2012-10-15 19:51:01 |
| 29 | 267ODEs-121016, Hour 16: Improved Euler and Runge-Kutta | 2012-10-15 18:38:42 | 2012-10-16 11:14:22 |
| 30 | Old time constant coefficients linear equations and phase profiles | 2012-10-12 16:25:44 | 2012-10-22 10:32:49 |
| 31 | 267ODEs-121019, Hour 17: High order constant coefficient homogeneous ODEs | 2012-10-18 21:32:26 | 2012-10-22 10:22:19 |
| 32 | 267ODEs-121022, Hour 18: Multiple roots, reduction of order, undetermined coefficients | 2012-10-19 17:27:58 | 2012-10-22 23:19:16 |
| 33 | --- Hour 18 Scratch | 2012-10-21 22:59:20 | 2012-10-21 23:02:40 |
| 34 | 267ODEs-121023, Hour 19: Systems of linear equations, matrix exponentiation | 2012-10-22 15:33:35 | 2012-10-29 11:37:08 |
| 35 | 267ODEs-121026, Hour 20: Term Exam | 2012-10-24 13:49:17 | 2012-10-29 12:32:31 |
| 36 | HW5 | 2012-10-28 23:43:57 | 2012-10-28 23:47:02 |
| 37 | 267ODEs-121029, Hour 21: Matrix Exponentiation | 2012-10-24 13:49:53 | 2012-10-29 15:14:50 |
| 38 | --- Hour 21 plan | 2012-10-28 23:32:39 | 2012-10-29 11:25:07 |
| 39 | 267ODEs-121030, Hour 22: Computing Matrix Exponentials | 2012-10-29 15:09:13 | 2012-11-01 22:48:13 |
| 40 | 267ODEs-121102, Hour 23: Phase Portraits | 2012-10-30 12:02:45 | 2012-11-04 21:32:43 |
| 41 | 267ODEs-121105, Hour 24: Non-homogeneous Systems | 2012-11-04 21:28:40 | 2012-11-06 00:14:33 |
| 42 | --- Trace and det | 2012-11-05 13:16:51 | 2012-11-05 13:25:17 |
| 43 | Old time power series | 2012-11-02 12:20:37 | 2012-11-07 01:07:35 |
| 44 | 267ODEs-121106, Hour 25: The Catalan Numbers, Recursion, ODEs | 2012-11-05 16:28:43 | 2012-11-06 15:55:05 |
| 45 | --- Little on Catalan | 2012-11-05 18:41:18 | 2012-11-05 18:56:06 |
| 46 | 267ODEs-121109, Hour 26: Debts on Systems, the Wronskian | 2012-11-06 15:44:38 | 2012-11-19 19:08:34 |
| 47 | 267ODEs-121116, Hour 27: Simple Minded Series | 2012-11-14 19:33:34 | 2012-11-16 17:55:11 |
| 48 | --- Hour 27 Scratch | 2012-11-16 12:37:32 | 2012-11-16 12:56:18 |
| 49 | 267ODEs-121119, Hour 28: \pi is irrational, convergence of power series | 2012-11-18 14:38:35 | 2012-11-19 16:09:47 |
| 50 | 267ODEs-121120, Hour 29: Fuchs' theorem | 2012-11-19 13:30:48 | 2012-11-20 15:27:01 |
| 51 | --- Fuchs' theorem scratch | 2012-11-07 01:18:20 | 2012-11-19 19:08:15 |
| 52 | 267ODEs-121120: Notes on Jordan's tutorial | 2012-11-21 14:45:38 | 2012-11-21 19:55:15 |
| 53 | 267ODEs-121123, Hour 30: Regular Singular Points | 2012-11-22 16:06:39 | 2012-11-25 20:49:04 |
| 54 | --- Regular singular points scratch | 2012-11-19 19:08:40 | 2012-11-22 18:27:43 |
| 55 | --- Hour 30 Plan | 2012-11-22 16:10:59 | 2012-11-22 18:37:34 |
| 56 | Qualitative Analysis Scratch | 2012-11-25 15:53:37 | 2012-11-30 13:09:07 |
| 57 | 267ODEs-121126, Hour 31: Regular singular points, examples and the harder cases | 2012-11-25 20:40:35 | 2012-11-26 15:26:58 |
| 58 | 267ODEs-121127, Hour 32: Basic oscillation and non-oscillation | 2012-11-27 01:18:44 | 2012-12-05 14:30:12 |
| 59 | 267ODEs-121130, Hour 33: Changing the independent variable, Sturm comparison | 2012-11-28 21:08:15 | 2012-11-30 16:16:19 |
| 60 | Hour 33 Scratch | 2012-11-30 09:44:33 | 2012-11-30 10:21:07 |
| 61 | 267ODEs-121203, Hour 34: More comparisons, changing the independent variable | 2012-11-30 16:05:17 | 2012-12-19 01:46:48 |
| 62 | 267ODEs-121204, Hour 35: Amplitudes | 2012-12-03 16:33:34 | 2012-12-05 14:30:45 |
<< Mathematica Notebooks >>
| Notebook (.pdf) | Source (.nb) | Created | Last Modified | Summary | |
|---|---|---|---|---|---|
| 1 | 120910-Brachistochrone | source | Sun 17 Mar 2024 11:28:20 | Tue 11 Sep 2012 10:33:04 | |
| 2 | 120914-VectorPlot | source | Sun 17 Mar 2024 11:28:20 | Fri 14 Sep 2012 10:12:07 | |
| 3 | 120916 Calculator | source | Sun 17 Mar 2024 11:28:20 | Sun 16 Sep 2012 13:04:11 | |
| 4 | 121029 Calculator | source | Sun 17 Mar 2024 11:28:20 | Mon 29 Oct 2012 07:24:01 | |
| 5 | 121105 Calculator | source | Sun 17 Mar 2024 11:28:20 | Mon 5 Nov 2012 08:18:01 | |
| 6 | 121106 Calculator | source | Sun 17 Mar 2024 11:28:20 | Mon 5 Nov 2012 14:58:09 | |
| 7 | 121122 Calculator | source | Sun 17 Mar 2024 11:28:20 | Thu 22 Nov 2012 19:48:38 | |
| 8 | ChangingVariablesExperiment | source | Sun 17 Mar 2024 11:28:20 | Sun 2 Dec 2012 11:06:06 | Experimenting with changing the dependent and independent variables. |
| 9 | ContourPlot | source | Sun 17 Mar 2024 11:28:20 | Thu 4 Oct 2012 21:52:54 | Ploting x^2+xy+y^2=1. |
| 10 | Final | source | Sun 17 Mar 2024 11:28:20 | Thu 6 Dec 2012 13:04:54 | |
| 11 | FrobeniusSeries | source | Sun 17 Mar 2024 11:28:20 | Mon 26 Nov 2012 11:05:24 | Very basic Frobenius series manipulations. |
| 12 | GeneralRungeKutta | source | Sun 17 Mar 2024 11:28:20 | Mon 15 Oct 2012 12:57:16 | |
| 13 | HW1Solution | source | Sun 17 Mar 2024 11:28:20 | Thu 20 Dec 2012 19:31:17 | |
| 14 | HW2Solution | source | Sun 17 Mar 2024 11:28:20 | Thu 20 Dec 2012 19:31:37 | |
| 15 | ImageTransformation | source | Sun 17 Mar 2024 11:28:20 | Wed 23 Mar 2016 08:43:31 | "House of Mirrors" image transformations. |
| 16 | LorenzAttractor | source | Sun 17 Mar 2024 11:28:20 | Mon 3 Dec 2012 13:11:41 | |
| 17 | MonkeySaddleFlow | source | Sun 17 Mar 2024 11:28:20 | Thu 20 Dec 2012 19:28:51 | |
| 18 | NumericalMethodsComparison | source | Sun 17 Mar 2024 11:28:20 | Tue 16 Oct 2012 10:01:31 | A comparison of Euler, Improved Euler, and Runge-Kutta on y'=-y. |
| 19 | NumericalMethodsStabilityComparison | source | Sun 17 Mar 2024 11:28:20 | Thu 25 Oct 2012 18:51:39 | A stability comparison of Euler, Improved Euler, and Runge-Kutta. |
| 20 | PhasePortraits | source | Sun 17 Mar 2024 11:28:20 | Thu 1 Nov 2012 19:13:36 | Plotting Phase Portraits. |
| 21 | PlottingAiry | source | Sun 17 Mar 2024 11:28:20 | Mon 19 Nov 2012 08:34:40 | Plotting the solutions of the Airy equation, y''=xy. |
| 22 | PowerSeriesSolve | source | Sun 17 Mar 2024 11:28:20 | Thu 15 Nov 2012 14:25:26 | Finding a power series solution of an arbitrary ODE of the form y'=f(x,y). |
| 23 | QuadraticPhasePortraits | source | Sun 17 Mar 2024 11:28:20 | Mon 4 Apr 2016 09:03:43 | |
| 24 | RungaKuttaTaylor | source | Sun 17 Mar 2024 11:28:20 | Fri 19 Oct 2012 11:37:51 | Runge-Kutta - Taylor comparison. |
| 25 | RungeKutta-2 | source | Sun 17 Mar 2024 11:28:20 | Tue 16 Oct 2012 10:01:45 | |
| 26 | RungeKutta | source | Sun 17 Mar 2024 11:28:20 | Fri 12 Oct 2012 14:53:36 | |
| 27 | StableRungeKutta | source | Sun 17 Mar 2024 11:28:20 | Thu 25 Oct 2012 19:04:02 |
<< Links >>
- Studied Fri 27 Jul 2012 11:34:31: 12-267 - Drorbn.
- Studied Fri 27 Jul 2012 11:35:03: Math 267S, Spring 2007.
- Studied Fri 27 Jul 2012 11:36:37: MAT267, Fall 2007.
- Studied Wed 5 Sep 2012 10:16:11: Wiley Elementary Differential Equations and Boundary Value Problems, 9th Edition.
- Studied Mon 10 Sep 2012 08:51:52: Teaching Station.
- Studied Thu 8 Nov 2012 18:20:51: differential equations - Plotting a Phase Portrait - Mathematica.
<< Images >>
