Math 241 Ordinary Differential Equations

Welcome to the course webpage for Winter 2020 Math 241 Ordinary Differential Equations.

Syllabus Notes Activities Signup
Instructor Info
Rob Thompson rthompson@carleton.edu
Anderson 238 x4366
Office hours: see here

Course Schedule
Info Reading Problems Other
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)
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
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
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
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
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
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
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
Mar 2 - Mar 8
Exam 3
Mar 9 - Mar 15
projects