Math 2410Q
Fall,, 2015
Joseph
McKenna
MSB 328
8604863989
mckenna@math.uconn.edu
Old mathematicians never die; they just reprove.
The
more things change, the more they don't remain the same.
You win some, you lose some. Once I was winsome.
For a lowtech way to
do slope fields, google "slope fields calculator marek" or
use the disc with the book.
Note
the
change in office hours.
Text: Differential
Equations, 4^{ rd} edition,
(Cheaper if you just get chapters 16 at the Coop)
by P.Blanchard, R.L. Devaney and G.R. Hall,
Brooks/Cole,
ISBN 0534385141
Class Meetings:
mw 10:1011:00 (Section 10 CHMA 120)
and mw 2:303:20 (section 30 PB36)
Office Hours:
T Th 1:302:30 , W 2 or by appointment
Grading: Weekly Quizzes  10 points
each, Two midterm exams  140 pts. each, Final  200
A comment on preparation for exams. In
lectures and discussion sections before each exam, there will
be extensive discussion of what can be on the exam and
worked examples. Do not expect to ignore all this and then get
help the day of the exam.
FINAL Exam is
scheduled on MATH 2410Q for
may 8 from 3:305:30
Everyone will take the
final exam on Friday May 8 from 3:305:30pm..
Review: Chapters
Look at the HW problems as well as review sheets for Midterm1
and 2. Learn to check your answers yourself, that is an
integral (haha) part of the course.
A wind tunnel experiment done by Jack George, Jan Collins
and me, showing how the same wind can have three different
results, depending on the initial conditions.
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 discussion
class, you must notify
the discussion leader 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 makeup exams will be given unless you notify
your discussion leader 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 linea 
P 121 112, 2124 
8/31 9/4 


1.21.9 
Separation of variables. integrating factors,mixing,
cooling problems 
p. 3334 – 538(do them untill you get bored in
a good way) p. 133 112, 2426 
9/99/11 


1.3 
Slope fields, 
p. 48 710 16, 
9/11 


1.41.6 
Euler’s Method. Existence and uniqueness,Equilibria,
Phase Line 

9/149/18 


1.7 2.1,2.3 2.4 
Modeling with systems. Competing species.
Euler's method for systems. Fake systems (partially
decoupled)> 
p. 162 – 7,8 
9/219/25 


2.22.3 
Geometry of systems. Analytic methods for special systems 
EXAM Review! Exam (wed) p. 178 – 1, 3, 4, 7, 10,
11, 13, 14, 1724, 29; p. 194 – 1, 3, 4, 7, 8,
9 
9/2910/2 


2.4, 3.1 
1^{st}order linear systems 
p. 202 – 1, 3, 4, 7, 8, 9; p. 224 – 1, 5, 9, 11,
14, 17, 18, 24, 27, 34 p 258 5,6,7 
10/510/9 


3.2 
Straight line solutions 
p. 277 – 1, 12 or make up your own. 
10/1210/16 


3.33.4 
Phase planes. Complex numbers/eigenvalues 
p. 293, 116; p. 310 , 314 
10/1910/23 


3.5 4.1 4.2 
Special cases 2 ^{nd}order linear equations. Forced harmonic oscillators. Sinusoidal forcing 
p 310 roughly problems 314 p 327 18
323 p342 120 p399 118 p412 114 
10/26/10/30 


3.5 4.14.2 
2^{nd}order
linear
equations. Forced harmonic oscillators. Sinusoidal forcing

EXAM Review! Exam (wed) 
11/211/6 


4.3, 6.1 
Laplace transforms,discontinuous functions. 
p. 577 724, p.586 414 
11/911/13 


6.16.3 
Laplace transforms. Discontinuous functions. 2^{nd}–order equations. 
p. 600 734. 
11/1611/20 


6.36.4 
second order equations with delays. Impulsive forcing 
Reviews for final exam 


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 oddnumbered, 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."