Math 2410Q Section
1
Fall 2009
Joe McKenna
MSB 328
860-486-3989
mckenna@math.uconn.edu
Announcements:
Quiz on Tuesday 13th.
Another!
One more!And another!!and another!!!
Note
the change in office hours.
Text: Differential
Equations, 3 rd edition,
by P.Blanchard, R.L. Devaney and G.R. Hall,
Brooks/Cole,
ISBN
0-534-38514-1
Class Meetings: Tu
Thur 9:30-10:45
in MSB 311.
Office Hours: T
Th 1:30-2:30 , W 3
or by appointment
Grading: Weekly Quizzes - 10 points each,
Three midterm
exams - 100 pts. each, Final - 200
FINAL Exam is scheduled on
Review: Chapters
Look at the HW problems as well as review sheets for Midterm1 and 2, and also Midterm1&2 solutions.
Midterm
exams will be as indicated below (approximately). For exact
dates and a review of what will
be on the exam, come to class.
Goals.
Our goal is to learn the basic ideas and techniques of
qualitative, numeric
and analytic approaches to differential equations. In particular, we
will use
geometry to interpret, visualize and investigate short/long term
behavior of
actual physical systems modelled via solutions of differential
equations.
Expectations.
1. We expect you to come to class, on time.
You are
responsible for everything that happens in class whether or not you
attend. If
you must miss a class, you must notify me in advance in order to be
allowed to
make up the work (phone, email, note in mailbox, or verbal
communication).
2. We expect you to work outside of class.
Homework is
work to be done at home - we will spend tiime at the
beginning of the class going over
homework
exercises. You are welcome and encouraged to work together on homework
and to
get help from other sources (friends, instructor, Math Center)but it's
a good idea to
write up solutions yourself.
3.
4. No
make-up exams will be given
unless you notify your teacher in advance with a valid excuse.
OUTLINE
. This is a
guide only. Assignments may vary according to our progress in class.
|
|
Sections |
Topic |
Starting page / exercise numbers |
Date |
|
|
|
1.1,1.8 |
Modeling , first order linear |
p. 14 – 1, 3, 6, 13, 16, 18 |
9/1 |
|
|
|
1.2-1.9 |
Separation of variables. integrating factors |
p. 33 – 1, 2, 6, 9, 15, 16, 25, 35; p. 33-34 – 5-32, (do
them untill you get bored in a good way) p. 135 1-12 |
9/1,9/3 |
|
|
|
1.3-1.4 |
Slope fields,Euler’s Method. |
p. 50 15, p. 63 1-4 |
9/8,9/10 |
|
|
|
1.5-1.6 |
Existence and uniqueness,Equilibria, Phase Line |
p. 91-93 - 1-37, p. 107 – 1, 3, 7, 10, 11, 16 |
9/15,9/17 |
|
|
|
1.7- 2.1 |
Linear Equations. Changing Variables. Modeling with systems. |
p. 121 – 1, 3, 6, 11, 13, 17, 20, 21, 26; p. 134 – 1, 3, 4; p. 160 – 1, 4, 15, 20, 21 |
9/22,9/24 |
|
|
|
2.2-2.3 |
Geometry of systems. Analytic methods for special systems |
p. 178 – 1, 3, 4, 7, 10, 11, 13, 14, 17-24, 29; p. 192 – 1, 3,
4, 7, 8, 9 (Exam around here) |
9/29,10/1 |
|
|
|
2.4, 3.1 |
Euler’s Method for systems. 1st-order linear systems |
p. 205 – 1, 3, 4, 7, 8, 9; p. 244 – 1, 5, 9, 11, 14, 17, 18, 24, 27, 34 |
10/6,10/8 |
|
|
|
3.2 |
Straight line solutions |
p. 263 – 1, 4, 5, 7, 11, 13b, 14a, 17, 21 |
10/13,10/15 |
|
|
|
3.3-3.4 |
Phase planes. Complex numbers/eigenvalues |
p. 279 – 1, 5, 9, 11, 13, 19, 21, 24; p. 296 - 1 |
10/20,10/22 |
|
|
|
3.4-3.5 |
Complex eigenvalues. Special cases |
p. 296 – 5, 7, 11, 13, 15, 22, 23; p. 313 – 1, 4, 8, 9, 14,
19, 22 Exam around now. |
10/27,10/29 |
|
|
|
3.6, 4.1-4.2 |
2nd-order linear equations. Forced harmonic oscillators. Sinusoidal forcing |
p. 328 – 1, 3, 7, 9, 11, 15, 17, 23, 25; p. 381 – 1, 3, 5, 9, 15, 19, 21; p. 294 – 1, 9, 15, 17 |
11/3,11/5 |
|
|
|
4.1, 6.1 |
Sinusoidal forcing. Laplace transforms |
p. 294 – 37, 38 (use 36); p. 553 – 1, 2, 7, 8 |
11/10,11/12 |
|
|
|
6.1-6.3 |
Laplace transforms. Discontinuous functions. 2nd–order equations. |
p. 553 – 13, 15, 16; p. 561 – 9, 10; p. 575 – 11, 15, 27, 28 |
11/17,11/19 |
|
|
|
5.1, 6.3 |
Linearization. 2nd – order equations |
p. 452 – 1, 3, 7, 9, 13, 15; p. 575 - 29 |
|
|
A note on the exercises
The above outline contains a list of proposed exercises for each section of the text we discuss. Many of them are odd-numbered, so the answer appears in the back of the book. Do not look at the answer until you have given the problem your ``best shot.'' In many cases, the book offers an adjacent, parallel exercise, which you might also try if you have any difficulty with the assignement.
Academic Integrity
("Beginning with the fall semester 2000, syllabi should include a
warning about academic misconduct,
particularly cheating and plagiarism."
See http://vm.uconn.edu/~dosa8/code2.html
.)
"A fundamental tenet of all educational institutions is academic
honesty;
academic work depends upon respect for and acknowledgement of the
research
and ideas of others. Misrepresenting someone else's work as one's own
is a
serious offense in any academic setting and it will not be condoned."
"Academic misconduct includes, but is not limited to, providing or
receiving
assistance in a manner not authorized by the instructor in the creation
of
work to be submitted for academic evaluation (e.g. papers, projects,
and
examinations); any attempt to influence improperly (e.g. bribery,
threats)
any member of the faculty, staff, or administration of the University
in
any matter pertaining to academics or research; presenting, as one's
own,
the ideas or words of another for academic evaluation; doing
unauthorized
academic work for which another person will receive credit or be
evaluated;
and presenting the same or substantially the same papers or projects in
two
or more courses without the explicit permission of the instructors
involved."
"A student who knowingly assists another student in committing an
act
of
academic misconduct shall be equally accountable for the violation, and
shall be subject to the sanctions and other remedies described in The
Student Code."
