Exam 1 is on Tuesday, Sept. 27. It
will cover 1, 2.1-2.6, M5.2, M6.3, M5.3 (numbers are sections in Boyce
& DiPrima, numbers with M are sections in "Differential Equations with
Matlab")
No calculators will be allowed in the exam.
Topics on the exam:
- linear, separable, exact ODEs: find general solution, solution of
IVP (explicit if possible), interval where solution exists
- Applications: Mixing problems, population growth
- autonomous problems: unstable and asymptotically stable critical
points, behavior of solutions for increasing and decreasing time
- stable and unstable solutions (M5.3)
There will be no Matlab on the exam.
Matlab Assignment 1 (corrected
version)), due Friday, Sept. 30 in the discussion
session.
Typo (fixed in current version): In problem 2
it should be (exp(t)*cos(y) + 2 cos(t)) y' +
exp(t) sin(y) - 2 y sin(t) = 0.
Note that you can do this assignment in teams of up to 3 students.
You must download the file dirfield.m
and put it in the same directory as your other m-files for the
homework. Read the Instructions for first order
ODEs (this was updated Sept. 16).