Instructor: Taiping Ye

Call me "Taiping" or whatever you see fit
email me at TYe@Math.UConn.Edu. with Subject "Math211 Sec08 ..."
Office : MSB 234
Ofifce Hours: MW 10:am-11:am

Differential Equation
Math 211 Q, Section 08 MWF 9:00am - 9:50am MSB 215

Text Book

Differential Equations , 2 nd edition,
by P.Blanchard, R.L. Devaney and G.R. Hall,
Brooks/Cole,
ISBN 0-534-38514-1

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.

Grading .  Some changes from the previous policy: 10% quizes, 10% homework, 30% for the higher of the two exams while 20% for the lower one, 30% for the final exam. One lower grade for homework and quiz will be dropped as well.

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 (email, 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.  Homeworks are to be handed in on Monday starting from Feb 28th, 2005. No late homeworks, please. Homework should be neat, easy to read, word processer are not necessary for the homework. Please indicating the chapters, page number and which problem so that I can easily identify them.
    4.  No make-up exams will be given unless you notify your teacher in advance with a valid excuse.
    5.  Calculator policy: All calculators that cannot perform symbolic operations are allowed. Calculators such as TI-89, 92, HP 28 or 48 are not allowed.
    6.  Homework are due on Wed and quizzes are given on Wed .

The first exam is scheduled on Monday March 16th, 2005 and will cover chapter 1.

The second exam is scheduled on Wed April 20, 2005 and will cover chapter 2 and 3.

Final Exam is scheduled on Wed May 4th from 1:00pm - 3:00pm at MSB 215 and will cover all the materials learnt this semester.

Here it is, the final grades , Click the link to view.

 

6.2

Discontinuous functions.

  p. 561 – 9, 10

5.1

Linearization

  p. 452 – 1, 3, 7, 9, 13, 15

Sections

Topic

Assignments Due Date

Starting page / exercise numbers

1.1

Modeling 

   

1.2

Separation of variables

   
1.3
Slope fields
   

1.4

Euler's Method

   
1.5
Existence and Uniqueness    

1.6

Equilibria, Phase Line.

  p. 91 - 1, 4, 5, 7, 9, 12, 15, 22, 23, 26, 27, 30, 35
1.7
Bifurcations
Feb 28 p. 107 – 1, 3, 7, 10, 11, 16

1.8

Linear Equations. 

Feb 28 p. 121 – 1, 3, 6, 11, 13, 17, 20, 21, 26
1.9
Changing Variables. Mar 14 p. 134 – 1, 3, 4
2.1
Modeling with systems. Mar 14 p. 160 – 1, 4, 15, 20, 21
  Spring Break Mar 7 - 11 Have fun, get away from the snow and study for Exam 1
  First Exam March 16 Covers Chapter 1

2.2

Geometry of systems.

 Mar 30 p. 178 – 1, 3, 4, 7, 10, 11, 13, 14, 17-24, 29

2.3

Analytic methods for special systems

Mar 30 p. 192 – 1, 3, 4, 7, 8, 9

2.4

Euler's Method for systems.

 Mar 30 p. 205 – 1, 3, 4, 7, 8, 9

3.1

1 st -order linear systems

Apr 6 p. 244 – 1, 5, 9, 11, 14, 17, 18, 24, 27, 34

3.2

Straight line solutions

Apr 6

p. 263 – 1, 4, 5, 7, 11, 13b, 14a, 17, 21

3.3

Phase planes.

 Apr 13

p. 279 – 1, 5, 9, 11, 13, 19, 21, 24;

3.4

Complex numbers/eigenvalues 

Apr 20

p. 296 - 1, 5, 7, 11, 13, 15, 22, 23

3.5

Special cases

Apr 20 p. 313 – 1, 4, 8, 9, 14, 19, 22

3.6

2 nd -order linear equations.

 Apr 20 p. 328 – 1, 3, 7, 9, 11, 15, 17, 23, 25

4.1 

Forced harmonic oscillators.

 Apr 27 p. 381 – 1, 3, 5, 9, 15, 19, 21
  Second Exam April 20 Covers Chapter 2 and 3
       

4.2 

Sinusoidal forcing 

Apr 27 p.394 – 1, 9, 15, 17, 37, 38

6.1 

Laplace transforms

  p. 553 – 1, 2, 7, 8, 13, 15, 16

6.3 

2 nd –order equations.

  p. 575 – 11, 15, 27, 28, 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."