Week 1
☛ Monday ☚
Separable equations.
First recipes.
Homework due Monday
☛ 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
☛ 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
☛ Wednesday ☚
Jordan form.
Homework due Wednesday
- Reading: Sections 1.6–1.8.
☛ Friday ☚
Exponentiating Jordan matrices. Algorithm for computing Jordan form.
Homework due Friday