fAMAT311 Ordinary Differential Equations

MWF 9:20-10:15 ES 147

Instructor: Professor Edward
Thomas ES 132F

Phone 442-4623

Best way to reach me is by
email: et392@albany.edu

Office hours: MWF
10:25-10:45, 12:50-1:30, 2:45-3:15 and by appointment

A link to the class webpage
will be found at : www.albany.edu/~et392/AMAT311.htm

Text: Elementary Differential
Equations by Edward and Penney; we will be covering Chapters 1 through 4, plus
other topics if time permits.

You need to have this text on the first day
of class, not at some indeterminate later date (see the next paragraph.) If you
show up on the first day of class without the text, I will take this as a sign
of LACK OF PREPARATION.

In this course, you can learn both technique
and theory by doing problems. So I am going to assign problems every single
day, starting on day one. They will be collected, graded and returned to you at
the next meeting and will serve as the springboard for what comes next. You
should assign them high priority…I’m not kidding on this.

Daily assignments will count one third of the
grade. The other two thirds will come from a Midterm and a Final.

Let’s articulate some
ground rules:

> First...there will be
ABSOLUTELY NO CELL PHONES, LAPTOPS or any other type of electronic devices in
use during class. Please take care of business and TURN THEM OFF before you
enter the classroom.

>Second…please
DO NOT come to class late as it is disruptive. Be in your seat, mentally alert
and ready to participate, at 9:20 when class begins.

>
Third …If you
get sick or have some other kind of emergency, please get in touch with me as
soon as you can so we can work things out.

> Fourth, classes begin on Monday, August
25th. ( You wouldn’t believe it but in the past some
peeps thought they could begin classes on a day of their own choosing. That was
a BIG mistake.)

Assignments:

1) page 17 # 1-6 and 8,9
( Geez! Already? Ashley has
pointed out that there is a mistake in the answer section for this assignment !)

2) page 18 # 24, 26 and 36 plus page 43 # 1-4 Some remarks: On problem 26, t_{MAX}
is approximately20.4 seconds.

On
problem 36, you are given that x_{MAX}_{ }=
2.25, from which you want to compute v_{0. }First compute t_{MAX}_{. }You’ll find that t_{MAX}_{ =}v_{0} / g_{E}_{ }( Earth’s
gravitational constant) Then using that, you find that x_{MAX}_{
}=v_{0}^{2 }/2g_{E. }and
from that you can figure out v_{0. }

3) page 43 # 21, 22, 25

4) Using the value of k that we found in
class, predict the U.S. population in 1920 ( compare
with the actual value of about 106 million) Plus, on page 43, do numbers 33-38

5) page 84 #32 ( just
do the derivation as discussed in class…i.e., go from equation (*) to this form
of the solution) and # 29 ( on part c , maybe just see how accurately the Verhulst model predicts P(2000)or P(1990)

6) page 44-45 # 43,
48, 65

7) page 54 # 2, 3, 4, 8, 15, 17, 22, and 24

8) page 55 # 33, 35

9) A handout on exactness. I’ll post a couple of extra copies on
my door.

10)
pg 73 # 33, 35, 37, 39 Do
these by the systematic way introduced in class, please.

11) Using the numbers provided in
class ( copies on my door) compute escape velocity for
the Sun, Earth, Moon and Antares. Then, for the Sun, Moon and Antares, compute what radius
will produce a black hole…as we did in class for the Earth.