Math 322

Spring 2018
Instructor: David Perkinson (schedule)
General info: Course description, office hours, grading, etc.
Text: Differential equations and dynamical systems, by Lawrence Perko.
LaTeX: getting started
Handouts: first recipes.

Midterm exams: TBA
This week
☛ Monday ☚
Stability theory. Linear systems in \(\mathbb{R}^3\).
Homework due Monday
  • Reading: TBA
☛Wednesday☚
TBA
Homework due Wednesday
  • Reading: TBA
☛ Friday ☚
TBA
Homework due Friday
  • Reading: TBA
  • Turn in: TBA

Previous classes

Week 1
☛ Monday ☚
Separable equations. First recipes.
Homework due Monday
  • None.
☛ Wednesday ☚
Logistic equation. Homogeneity trick for separable equations. Exact equations (if time). The wikipedia page for the logistic function is worth reading. (Take a look at the history section, for instance.)
Homework due Wednesday
☛ Friday ☚
Exact equations. Integrating factors.
Homework due Friday
Week 2
☛ Monday ☚
First-order linear. Linear homogeneous constant coefficients.
Homework due Monday
☛ Wednesday ☚
Bernoulli equation motivation. Linear homogeneous constant coefficients: complex roots and repeated roots. Method of undetermined coefficients.
Homework due Wednesday
☛ Friday ☚
Special second-order equations.
Homework due Friday
Week 3
☛ Monday ☚
Matrix exponentiation.
Homework due Monday
  • Reading: Sections 1.1–1.3.
☛ Wednesday ☚
Fundamental theorem for linear systems.
Homework due Wednesday
  • Reading: Section 1.4.
☛ Friday ☚
Fundamental theorem for linear systems. Linear systems in \(\mathbb{R}^2\).
Homework due Friday
Week 4
☛ Monday ☚
Linear systems in \(\mathbb{R}^2\).
Homework due Monday
  • Reading: Section 1.5.
☛ Wednesday ☚
Jordan form.
Homework due Wednesday
  • Reading: Sections 1.6–1.8.
☛ Friday ☚
Exponentiating Jordan matrices. Algorithm for computing Jordan form.
Homework due Friday