Study Guide for Chap 1&2.
Chapter 1:
- The difference between ODE and PDE, especially when
a parameter (a variable not participating in differentiation)
is involve.
- The meaning of "order" of an ODE.
- The meaning of a solution to an ODE
(i.e. What is a solution?).
- Skip section 1.2 unless you are interested.
Chapter 2 (up to first week):
- Various methods in solving first order linear ODE,
e.g. Direct integration and integrating factor
for simplest firsr order ODE. Setion 2.1-2.2.
- Generalization to more complicated cases: seperable
ODE and general integration factor. Secion 2.3 and 2.8.
- Prototype nonlinear first order ODE. Section 2.4 +
Rocatti equation.
- Qualatative and asympotic analysis. Section 2.6
- Speciela tricks: Honompgeneous equation and Bernoulli equation
(Less importance).
Homework Assignments
(The hand out printed from an older edition, will update later).
- Chap 1: 1, 10, 21, 22, 23, 25, 27, 28, 29
- Section 2.1: 1, 5, 8, 11, 21.