Supplements:

First order linear differential equations
This is a handout explaining how to use the method of undetermined coefficients and the method of variation of parameters in the first order case. It is useful as a supplement in Section 2.3. For a LaTeX version, click here.

How to integrate rational trigonometric functions
This handout explains how to integrate functions like 1/sin(x). Integrals like this are occasionally encountered in the book, but the students have not been taught how to do them. For a LaTeX version, click here.

How to find roots of polynomials
This handout explains how to find roots of third and higher degree polynomials as is required in Chapters 5 and 6. This is in principle a prerequisite, but the students have usually forgotten this material, if it has ever been taught to them at all. For a LaTeX version, click here.

The Greek Alphabet. LaTeX version.