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.)



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, tMAX is approximately20.4 seconds.

On problem 36, you are given that xMAX = 2.25, from which you want to compute v0. First compute tMAX. You’ll find that tMAX =v0 / gE ( Earth’s gravitational constant) Then using that, you find that xMAX =v02 /2gE. and from that you can figure out  v0.

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.