Info for week 5 of MA 366
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No homework is due on Wednesday this week,
so I will not hold my usual Wednesday eve
WebEx office hour. But I will hold my usual
office hours on Tuesday, 1:30-2:30 pm and
Wednesday, 10:30-11:30 am in case people
want to talk.

The next homework is

HWK 4 due Wed, Sept 30.

Exam 1 is meant to be educational, not tricky,
so let me clarify a couple of points here
that people have been asking about.

You do not need to give mathematical proofs
for problem 2, but you do need to cite any
facts that you use. I would suggest rereading
2.4 of the book if you are struggling with
this problem.

There has been some confusion about the
meaning of "find" and "do not solve" in
problem 3. If you make the change of variables
and get a new ODE and arrange it so that du/dx
is on the left of the equal sign, then you
will find F(x,u) because it will be what
appears on the right of the equal sign, and
you will be done. Do not try to solve the new
differential equation for u as a function of x
(and do not try to solve the original ODE
either).

If you solve 4a via the usual method for
solving a first order linear ODE, you will
be well equipped to answer part b. You will
just have a g(x) where an exponential was
in the work of part a. Ask yourself what
the best way to express an antiderivative
in this problem might be based on the formula
you are striving for. I use the words "present"
and "since" in this problem, implying that I'm
thinking of x as being time. I might better
have said, "Explain why the value of the
solution y at x depends on all the values
of g on the interval [0,x]."

-Steve Bell

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Week 5 work:

Watch the videos for Lesson 11,12,13 and
read sections 3.1, 3.2, 3.3 of the book.

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Exam 1 is due on Tuesday, Sept 22 by 10:00 pm
in Brightspace.

(No homework due on Wednesday this week.)

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