Math 241 Ordinary Differential Equations
Welcome to the course webpage for Winter 2020 Math 241 Ordinary Differential Equations.| Syllabus | Notes | Activities | Signup |
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Instructor Info
Rob Thompson rthompson@carleton.eduAnderson 238 x4366
Office hours: see here
Course Schedule
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Jan 6 - Jan 12 separation of variables phase portraits fixed points and stability |
Mon: 1.0-1.3 Wed: 2.0-2.2 Fri: 2.3 |
2.2.1, 2.2.8, 2.2.10acd, 2.2.13, 2.3.1, 2.3.3
Due Tuesday Jan 14 9pm |
Install Mathematica
Mathematical Modeling Population modeling (Mathematica) |
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Jan 13 - Jan 19 linearization leaky buckets existence and uniqueness Euler's method |
Mon: 2.4 Wed: 2.5 Fri: 2.8 |
2.4.2, 2.4.8, 2.5.4, 2.5.6d, 2.8.2bc, 2.8.3, 2.8.4
Due Tuesday Jan 21 9pm |
Slope fields Mathematica
Euler's method Mathematica Euler's method video |
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Jan 20 - Jan 26 non-dimensionalization saddle-node bifurcations fishing model transcritical bifucations law of mass action |
Mon: 3.0-3.1 Wed: 3.2 Fri: 3.4 |
3.1.1, 3.2.1, 3.2.5, 3.4.3, 3.4.12, 3.5.7
Due Tuesday Jan 28 9pm |
Exam 1 |
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Jan 27 - Feb 2 pitchfork bifurcations bead on a wire linear systems trace-determinant plane |
Mon: 3.5 Wed: 5.1 Fri: 5.2 |
3.5.4, 5.1.2, 5.1.9, 5.2.1, 5.2.2, 5.2.3, 5.2.13
Due Tuesday Feb 4 9pm |
Linear systems video #1 Linear systems video #2 |
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Feb 3 - Feb 9 Romeo and Juliet phase portraits existence and uniqueness |
Mon: 5.3 Wed: 6.1 Fri: 6.2 |
5.3.5, 6.1.2, 6.1.5, 6.1.8*, 6.1.12, 6.1.13, 6.2.2
* use pplane for this one Due Thursday Feb 13 9pm |
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Feb 10 - Feb 16 linearization competing species |
Mon: break Wed: 6.3 Fri: 6.4 |
6.3.1*, 6.3.13, 6.4.2, 6.4.5
* do by hand before checking with pplane Due Tuesday Feb 18 9pm |
Exam 2 |
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Feb 17 - Feb 23 conservative systems the nonlinear pendulum |
Mon: none Wed: 6.5 Fri: 6.7 |
6.4.11, 6.5.2, 6.5.6, 6.5.12, 6.7.1
Due Tuesday Feb 25 9pm |
Zombie lab |
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Feb 24 - Mar 1 reversible systems limit cycles Poincare-Bendixson |
Mon: 6.6 Wed: 7.1, 7.3 Fri: none |
6.6.4b, 6.6.6, 7.1.2, 7.3.3
Due Tuesday Mar 3 9pm |
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Mar 2 - Mar 8 projects |
none | none |
Exam 3 |
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Mar 9 - Mar 15 projects |
none | none |