Math 2410Q
  Fall,, 2015

Joseph McKenna
MSB 328
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.


Some preliminary remarks.
For now.
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 (computer), 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.

Your first contact should be the person leading your discussion section. He or she is responsible for your grading, for discussion of absences, etc.

video of lectures of 10 o'clock class These are from last year. The dates are off by one day. But I will follow the same plan. There is no lecture for Feb 5.
Feb 10 is a  combination of lectures on Feb 5 and feb 10.

joe and colleague

For a low-tech way to do slope fields, google "slope fields calculator marek" or use the disc with the book.

slope field calculator

About suspension bridges

a story of orcas and sea otters

a system problem


another old exam1

Another exam from last year.Exam2.

Final exam from last year.

old exam 2
another exam2
old final
another old final
Last years final
this is a sample quiz1
a sample first exam
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, 4 rd edition, (Cheaper if you just get chapters 1-6 at the Coop)

         by P.Blanchard, R.L. Devaney and G.R. Hall,


         ISBN 0-534-38514-1

Class Meetings:  mw 10:10-11:00 (Section 10 CHMA 120) and mw 2:30-3:20 (section 30 PB36)

Office Hours:  T Th 1:30-2:30 , W 2  or by appointment

Grading:  Weekly  Quizzes - 10 points each, Two mid-term exams - 140 pts. each, Final - 200

EXAMS  2/24
All students taking the exam from 9:00-10:30pm will be in AUST 108.

Students taking the exam from 6:00-7:30pm with TA David Nichols, Jason Tata or Steve Zito will be in AUST 108.

Students taking the exam from 6:00-7:30pm with TA Josh Enxing will be in AUST 110.

Students taking the exam from 6:00-7:30pm with TA Phanuel Mariano, Ricky Martin or Ryan Pellico will be in CHM A120.

If you want to take the earlier exam but are registered  for the later one, talk tø your discussion leader.

You can only take the later exam if registered for the earlier one if you have a goød reason.  Talk to your discussion leader.

EXAMS 4/7 Same as abo

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 3:30-5:30
Everyone will take the final exam on Friday May 8 from 3:30-5:30pm..

Room assignments are based on your TA as follows:
LH 101 - Josh Enxing
LH 102 - David Nichols, Jason Tata
LH 201 - Phanuel Mariano
LH 202 - Ryan Pellico
LH 205 - Steve Zito
CHM A120 - Ricky Martin

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.

Wind tunnel

A different explanation for the Tacoma Narrows.

the explanation

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.

    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.
No make-up 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.




Starting page / exercise numbers





Modeling , first order linea

  P 121  1-12,

8/31 -9/4




Separation of variables. integrating factors,mixing, cooling problems

  p. 33-34 – 5-38(do them untill you get bored in a good way)  p. 133 1-12, 24-26





Slope fields,

p. 48 7-10 16,





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

p. 61 1-4 p. 89-92 - 1-37,  




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
194 5-12 202 3-6. (do one step of Euler manually.)





Geometry of systems. Analytic methods for special systems

EXAM Review!  Exam (wed) p. 178 – 1, 3, 4, 7, 10, 11, 13, 14, 17-24, 29; p. 194 – 1, 3, 4, 7, 8, 9  




2.4, 3.1

 1st-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





Straight line solutions

p. 277 – 1, 12 or make up your own.




Phase planes. Complex numbers/eigenvalues 

p. 293,  1-16; p. 310 ,  3-14




3.5 4.1 4.2

 Special cases 2 nd-order linear equations. Forced harmonic oscillators. Sinusoidal forcing

p 310 roughly problems 3-14 p 327  1-8 323 
p342 1-20  p399 1-18
p412 1-14




3.5 4.1-4.2 

2nd-order linear equations. Forced harmonic oscillators. Sinusoidal forcing
EXAM Review!  Exam (wed)



4.3, 6.1 

 Laplace transforms,discontinuous functions.

 p. 577 7-24,  p.586 4-14





Laplace transforms. Discontinuous functions. 2nd–order equations.

p. 600  7-34.




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 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."