AMAT311 Ordinary Differential Equations
MWF 9:20-10:15 ES 147
Instructor: Professor Edward
Thomas ES 132F
Best way to reach me is by
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 techniques
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
> 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.
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 Wednesday
January 22nd. ( 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.)
1) Page 17 # 1,2,3,6,8,9,and 11,12
2) First, in the problem we analyzed in class, with
initial velocity 50 and initial height 100, what is the impact velocity, vTHUD
on page 18, let’s do # 24,26 and 31.
3) Page 43 # 4,13, 21, 22,25
4) Page 43 # 33-37
5) Both problems have to do with the logistic equation
which we began discussing in class. First, expand 1/P(150-P)
by partial fractions and integrate. Second, after integrating, show that P/(150 – P) = C e (.06)t We’ll pick it up there next time.
6) Using the
values of k and M postulated in the Verhulst model,
predict the US population values for the years 1845 and 1895. ( These are remarkably accurate.) Next, in the Doomsday/Extinction model
which we started in class, show that if P0 = 200 then Doomsday will
occur sometime in the 23rd year.
7) Page 54 # 1-4,
17, 18, 24. Put each of these in linear form and calculate the integrating
factor. You can stop there. Make two copies…one to hand in and one to keep/
8) Page 54 Finish #1-4, 18 and 24
9) A handout sheet on a linear equation which arises in
connection with a falling body encountering air resistance. YOU KINDA HAD TO BE
A handout on
page98 # 2 -12 . As discussed in
class, just test each equation to determine if it is separable, linear or exact
(or none of the above) and stop there…you don’t need to solve.
The Midterm Exam will be on Monday, March 10th
12) page 112 # 33-38
13) On page
134, take problems 3 – 9. Figure out which of them has complex roots and, for
these, write out the general solution.
14) page 145 # 1 and 2
15) page 145 # 3 and 4
16) page 147 # 14 part (a)