18.03SC | Fall 2011 | Undergraduate

Differential Equations

Unit IV: First-order Systems

Linearization Near Critical Points

« Previous | Next »

In this session we learn how to use a technique called linearization. This technique allows us to apply the qualitative methods we developed for linear systems (in the session on Phase Portraits) to the qualitative sketching of the phase portraits of autonomous nonlinear systems.

Session Activities

Read the course notes:

Watch the lecture video clip:

Read the course notes:

Watch the lecture video clip:

Read the course notes:

Watch the problem solving video:

Check Yourself

Complete the problem sets:

« Previous | Next »

Course Info

Learning Resource Types
Lecture Videos
Recitation Videos
Exams with Solutions
Simulations
Lecture Notes
Problem Sets with Solutions