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 plus any time I am not otherwise occupied, and, if all
else fails, 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.
ASSIGNMENTS THAT ARE HANDED
IN MORE THAN A DAY LATE MAY INCUR A PENALTY.
Daily assignments will count one third of the
grade. The other two thirds will come from a Midterm and a Final.
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.
Pg 17 # 1-6, 8,9
pg 18 # 24 and 26
pg 43 # 4, 13, 21, 25
Exponential decay …page 43, # 35, 36; plus: some of the oldest rock on Earth is
found in Northern Canada; it’s said to be approximately 4 billion years old.
What percentage of 40K would you expect to find in this rock?
growth…page 43, # 34
5) Solve dT/dt = k( A – T) to obtain Newton’s
Law of cooling/heating: T = A – (A-T0)exp(-kt). Then do problem #43 on page 44 and problem #65 on page
45, as sketched out in class.
pg 84 # 29 as discussed in class
page 54 # 8, 9, 15, 18, 22
Look at problems # 1through 8 on page 72. Take each one separately and reduce
until you can say whether it’s Bernoulli or not.
If it is, say what n is and what substitution
you would make. Then solve the last one you find.
page 73 # 33-37 Check each of these to see if it
passes the test for exactness…yes or no. You don’t need to do anything after
A handout on exactness. Copies posted on my door if you missed class.
page 94 # 25 parts a and b. We laid the groundwork for
this homework thoroughly in Friday’s class; there’s a chance for an egregious
error if you missed this lecture.
(a) Using data from the handout sheet, figure out what
the escape velocity would be for : our SUN, the EARTH’S MOON and for MARS.
(b) To what radius must the SUN be shrunk to
create a black hole? ( This is pg
94, # 24 b in the text.) Same problem
So, all together, you have FIVE computational
put a couple of copies of the handout on my door just in case.)
Midterm will be October 19th or
21st…we’ll pin it down quickly and we will review thoroughly
13) page 112 #
33-38, 41 and 42. Show what little computation there is.