**Math 331.1: Fall 2007 **

**Instructor :** Luc Rey-Bellet

**Office :** 1423 J LGRT

**Phone :** 545-6020

**E-Mail :** luc <at> math.umass.edu

**Homepage:** http://www.math.umass.edu/~lr7q

**Office Hours :** M 1:30--3:00 and W 2:30--4:00 or by appointment.

**Class Meeting :** MWF 9:05--9:55 LGRT A301

** Teaching Assistants:** The two teaching assistants are common for all 3 sections of MATH 331, so you can talk to any of them during their office hours. In addition a weekly one hour session hold in a classroom will be held by Jennie on Mondays in LGRC A301 at 4:00--5:00 pm.

** In-class recitation :** M 4:00--5:00 ** Room: ** LGRC A301

** Instructor :** Jennie D'Ambroise

** Office :** LGRT 1435I

**Phone :** 545-2820

**E-Mail :** dambroise <at> math.umass.edu

** Office hours:** Tu-Th 5:30--7:00 ** Room: ** LGRT 1634

** Instructor : ** Garret Cahill

** Office : ** 1323 N

**Phone :** 545-0873

**E-Mail :** cahill <at> math.umass.edu

** Office hours:** Tu 1:15--2:15, Th 4:00--5:00 ** Room: ** LGRT 1323N

**Syllabus:** This course is an introduction to ordinary differential equations. The topics covered in this class are
- First order linear and nonlinear equations, both with analytic and geometric methods.
- Systems of linear differential equations and second order equations. Forcing and resonances.
- Laplace transform methods.
- Numerical methods.

Prerequisites are Math 132, corequisite are Math 233.

** Text **: Differential Equations, 3rd edition by P. Blanchard, R.L. Devaney and G.R. Hall. Brooks Cole. (ISBN-10: 0495012653 ISBN-13: 978-0495012658)

** Course Web page**: www.math.umass.edu/~lr7q/m331-fall2007/m331home.html It will be updated regularly. Check it often for informations about quizzes, homework, exams!

** Grading ** : There is a final exam worth 1/3 of the grade and one midterm exam worth 1/3 of the grade. Homework will be assigned weekly but the homework will ** not ** be collected and graded,
every two weeks or so there will be a quizz in class consisting of two questions simialr to the ones in the homework. The quizzes will be graded and they will count as 1/3 of the grades. In order to be successful with the quizzes it is imperative that you do your homework regularly.

**Scales for letter grades**:
A : 90 A-: 87 B+: 83 B : 80 B-: 77
C+: 73 C : 70 C-: 67 D+: 63
D : 60 F : <60

** Exam schedule **: There will one midterm exam and one final exam. The material covered in the first mideterm will be announced in time.
The final exam will cover mostly the material of the second half of the semester.

** Weekly Schedule: Homework and Quizzes**

**Week 1** (Sept 3):

** Homework :**

Section 1.1 : 2, 3, 5, 10, 11, 15 a,b

Section 1.2 : 1, 5, 7, 9, 25, 27, 29, 33

**Week 2** (Sept 10):

** Homework :**

Section 1.3 : 2, 3, 7, 8, 15, 17 (Note you are not required but strongly encouraged to use the CD provided with the book)

Section 1.5 : 5, 6, 7, 8, (these four are really only one problem), 11, 14,15

Section 1.6 : 1, 13, 2, 14, 9, 21, (these problems come in pairs!) 29, 31, 39

**Week 3** (Sept 17): (Sept 17: last day to drop with no record)

** Quizz #1 on Sept 19 : ** Section 1.1, 1.2, 1.3, 1.5, 1.6
Solution for quizz #1

** Homework :**

Section 1.7 : 1, 3, 9, 15, 16, 17, 21

Section 1.8 : 1, 4, 8, 9, 20, 21, 22, 29, 31

**Week 4** (Sept 24):

** Homework :**

Section 1.9 : 1, 3, 5, 7, 8, 13, 25

Section 2.1 : 9, 10, 11, 12, 15, 19, 25, 27, 29

Section 2.2 : 1a,b, 3a,b, 5a,b, 10ab, 11, 21

**Week 5** (Oct 1):

** Quizz # 2 on Oct 3: ** Section 1.7, 1.8, 1.9, 2.1, 2.2
Solution for quizz #2

** Homework :**

Section 2.3 : 1, 2, 7, 8, 9, 15, 17, 19a,b,c

Section 3.1 : 5, 9, 16, 17, 18, 20, 21, 22, 23, 27, 29, 31, 32

** Homework :**

**Week 6** (Oct 8): (Monday is holiday, tuesday is a monday)

** Homework :**

Section 3.2 : 1, 2, 5, 7, 8 11, 12, 13, 19, 20, 21, 23

**Week 7** (Oct 15): (Oct 15 ; last to drop with "DR")

** Quizz # 3 on Oct 17: ** Section
2.3, 3.1, 3.2
Solution for quizz #3

** Homework :**

Section 3.3 : 1, 2, 5, 6, 9, 11, 13, 15, 19, 21

Section 3.4 : 1, 3, 5, 6, 9, 11, 12, 15, 16, 21, 23,

**Week 8** (Oct 22):

** MIDTERM on Oct 22 **

** Homework :**

Section 3.5 : 1, 3, 5, 7, 9, 10, 11, 17, 18, 21, 22.

Section 3.6 : 1, 3, 4, 9, 10, 11, 13, 15, 19, 21, 23, 27

**Week 9** (Oct 29):

** Quizz # 4 on Oct 31: ** Section 3.3, 3.4, 3.5,
3.6
Solution for quizz #4

** Homework :**

Section 3.7: 1, 3, 4, 9, 10, 11, 12

**Week 10** (Nov 5 ):

** Homework :**

Section 4.1: 5, 6, 9, 11, 15, 16, 20, 21, 27, 28, 31, 39

Section 4.2: 3, 4, 13, 14, 17, 18

**Week 11** (Nov 12): (Monday is a holiday, wednesday is a monday)

** Quizz # 5 on Nov 14: ** Section 3.6, 3.7, 4.1, 4.2
Solution for quizz #5

** Homework :**

**Week 12** (Nov 19): (Thanksgiving)

** Homework :**

Section 4.3: 3, 4, 5, 10, 11, 12, 15, 16, 19, 21

Section 6.1: 1, 2 , 7, 9, 11, 13, 15, 19, 22

**Week 13** (Nov 26):

** Quizz #6 on Nov 28: ** Sections 4.3 and 6.1
Solution for quizz #6

** Homework :**

Section 6.2: 1, 4, 5, 7, 9, 10, 11, 14, 15

Section 6.3: 11, 12, 15, 16, 27, 29, 30, 33

**Week 14** (Dec 3):

** Homework :**

Section 6.4: 2, 3,4, 5, 6

Section 6.6: 1,2, 3, 5

**Week 15** (Dec 10):

** Quizz # 7 on Dec 12 ** Sections 6.2, 6.3, 6.4, 6.6