Homework 1, due September 5, 2007

[goodwine]

Read Chapter 1, which particular emphasis on sections 1.4-1.6 in the course text.

Do Problem 1.1.

[irish07]

There is an mistake on page 4 line 15:

An example of the way the Cartesian product is used is when vectors are use to represent something.

I think use should be used.

[goodwine]

There is an mistake on page 4 line 15:

An example of the way the Cartesian product is used is when vectors are use to represent something.

I think use should be used.

Thanks! But please post this under the "Text Errata" link so that all the corrections to the text book appear in the same place.

[mbrundag]

I just wanted to know for a nonlinear diff. eq. do we have to write if it's homogenous/inhomogenous, or constant/variable coefficient since you said these distinctions were for linear differential equations

thanks

[goodwine]

I just wanted to know for a nonlinear diff. eq. do we have to write if it's homogenous/inhomogenous, or constant/variable coefficient since you said these distinctions were for linear differential equations

thanks

No you do not have to. If you do that's o.k. too.

[Webby]

Hey, I just wanted to make sure that it would be fine to use different symbols to represent the same variables used in the text.
An example is #7 instead of using that swiggle thing (not gamma or alpha), I used x.
Thanks

[goodwine]

Hey, I just wanted to make sure that it would be fine to use different symbols to represent the same variables used in the text.
An example is #7 instead of using that swiggle thing (not gamma or alpha), I used x.
Thanks

The problem just asks you to identify the type of equation. If it helps you to re-write it in the usual variables, that's fine with me.