Students will be expected to know the material on Initial Value
Problems from what is covered in
MTH 256.
If you need a refresher, consider the online
textbook
"Elementary Differential Equations" by William F. Trench
(especially Chapter 2). You may also like other Chapters in that book,
such as on the applications, and on systems. We will also cover
some Boundary Value problems (Chapter 11
in online
textbook by the same author including BVP).
You will also need to know enough on eigenvalues/eigenvectors of
matrices (material covered in
MTH
306
or MTH
341), such as what can be revised
in Linear Algebra text used in MTH 341.
We will also use Taylor expansions. A lot! Those not remembering how to expand f(x+h)=f(x)+..., please review.
Class notes