Math 2410Q
Spring 2012
Joseph McKenna
MSB 328
860-486-3989
mckenna@math.uconn.edu
If coming in late or leaving early, please sit near the back and use the rear entrance/exit, quietly.
If you want to play with your laptop, read email, look at pornography or whatever, stay in the back rows so you don't distract
the people behind you. (Or maybe stay home.)
It would be courteous to me if people in the front rows refrained from texting etc. on their cellphones and faked attention.
Look puzzled and nod occasionally. This can more or less be done on autopilot.
For a low-tech way to do slope
fields, google "slope fields calculator marek" or use the disc with the
book.
a story of orcas and sea otters
An exam from
last year. Exam 1
another exam2
old final
another old final
this is a sample quiz1
a sample first exam
another!
Note that no solutions will be posted. You should get used to checking your answers (which you can usually do). Or use the disk.
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: mw
12.00-12:50 or 3:00-3:50 in TLS 154.
Office Hours: T
Th 1:30-2:30 , W 2
or by appointment
Grading: Weekly Quizzes - 10 points each,
Two mid-term exsm - 100 pts. each, Final - 200
FINAL
Exam is
scheduled
on
MATH
2410Q
010
(th
3 0'clock)
05/04/2011 W 03:30
PM~05:30 PM TLS 154 and
MATH 2410Q 030 (the 12 o'clock)
05/02/2011 M 01:00 PM~03:00
PM TLS 154
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 123 1-12, 21-24 |
1/18 |
|
|
|
1.2-1.9 |
Separation of variables. integrating factors,mixing, cooling
problems |
p. 33-34 – 5-33, 35(do
them untill you get bored in a good way) p. 135 1-12, 24-26 |
1/23,1/25 |
|
|
|
1.3-1.4 |
Slope fields,Euler’s Method. |
p. 50 15, p. 63 1-4 |
1/30,2/1 |
|
|
|
1.5-1.6 |
Existence and uniqueness,Equilibria, Phase Line |
p. 91-93 - 1-37, p. 107 – 1, 3, 7, 10, 11, 16 |
2/6,2/8 |
|
|
|
1.7- 2.1 |
Bifurcations. Modeling with systems.
Competing species. |
p. 107 1-6 p. p. 135 – 1, 3, 4; p. 160 – 1, 4, 15, 20, 21 |
2/13,2/15 |
|
|
|
2.2-2.3 |
Geometry of systems. Analytic methods for special systems |
EXAM! p. 178 – 1, 3, 4, 7, 10, 11, 13, 14, 17-24, 29; p. 192 –
1, 3,
4, 7, 8, 9 |
2/20,2/22 |
|
|
|
2.4, 3.1 |
1st-order linear systems |
p. 205 – 1, 3, 4, 7, 8, 9; p. 244 – 1, 5, 9, 11, 14, 17, 18, 24, 27, 34 |
2/27,2/29 |
|
|
|
3.2 |
Straight line solutions |
p. 263 – 1, 4, 5, 7, 11, 13b, 14a, 17, 21 |
3/5,3/7 |
|
|
|
3.3-3.4 |
Phase planes. Complex numbers/eigenvalues |
p. 279 – 1, 5, 9, 11, 13, 19, 21, 24; p. 296 - 1 |
3/19,3/21 |
|
|
|
3.4-3.5 |
Complex eigenvalues. Special cases |
p 305-6 roughly problems 3-14 p 321 5,8 323 17-19 |
3/26,3/28 |
|
|
|
3.6, 4.1-4.2 |
2nd-order
linear equations. Forced harmonic
oscillators. Sinusoidal forcing |
EXAM! |
4/2,4/4 |
|
|
|
4.3, 6.1 |
Sinusoidal forcing. Laplace transforms |
p. 294 – 37, 38 (use 36); p. 553 – 1, 2, 7, 8 |
4/9,4/11 |
|
|
|
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 |
4/16,4/18 |
|
|
|
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 assignment.
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."
