Math 21b: Linear Algebra with Differential Equations (Fall 2008)
Errata for Bretscher's notes on
“Nonlinear Systems and Linearization”
As might be guessed from the title of these notes,
they were written for an earlier draft of the book,
whose eighth chapter contained material now in Chapter 9;
at some point the this section of the chapter was deleted.
Thus some references to the textbook must be changed:
about halfway down the first page there is a reference
“See page 443 of the text”, which is now page 397;
at the top of page 5, the figure that used to be on page 468
is now on page 403.
If you find more corrections, please let me know.
Page 3: the caption of the top figure should end
“The equilibria are (2,2), (0,4), (3,0), and (0,0).”
Page 3: the second line of text should end “nor”
rather than “not”.
Page 7, near the middle: “If both eigenvalues of J
have a negative real part...” presumes that we are in dimension 2.
In general one should say
“If all eigenvalues of J
have a negative real part...”
Page 8, third bullet point under “Phase Plane”:
letter l is missing from “sample”