**Math 331.2: Spring 2008 **

**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 :** Tu 2:30--3:45 and Th 11:30--12:45 or by appointment.

**Class Meeting :** TuTh 9:30--10:45 LGRT 101

** Teaching Assistant:** The teaching assistant for this section is Michael Satz. He will hold a ** weekly in-class recitation section** to go over examples, prepare for quizzes, answer questions. In addition he will hold regular **office hours**.

** Instructor :** Michael Satz

**Office :** LGRT 1423 B

**Phone :** 545-1801

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

** In-class recitation :** M 6:00--7:00 ** Room: ** LGRT 101

** Office hours:** W 3:00--5:00, F 1:00--3:00 ** Room: ** 1423B

**Syllabus:** This course is an introduction to ordinary differential equations. The topics covered in this class are
- First order linear and nonlinear equations: analytic and geometric methods, qualitative analysis.
- Systems of linear differential equations: eigenvalues and eigenvectors, phase portraits.
- Second order differential equations. Forcing and resonances.
- Laplace transform 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-spring2008/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 midterm will be announced in due time. The final exam is comprehensive but
will cover mostly the material of the second half of the semester.

** Weekly Schedule: Homework and Quizzes**

**Week 1** (January 28 ):

** Homework :**

Section 1.1 : 1, 3, 5, 10, 11, 12, 17, 19

Section 1.2 : 6, 9, 12, 13, 26, 29, 39

**Week 2** (February 4):

** Homework :**

Section 1.3 : 7, 8, 12, 14, 15 , 20

Section 1.5 : 10, 11, 14, 15

Section 1.6 : 1, 4, 7, 13, 16, 19, 28, 30, 33, 37, 39

**Week 3** (February 11): (**February 11 is the last day to drop with no record**)

** Quizz #1 on February 12 : **
Sections 1.1, 1.2, 1.3, 1.5, 1.6

** Homework :**

Section 1.7 : 1, 3, 4, 7, 9, 11, 15, 17

**Week 4** (February 18): (**Monday is a holiday, tuesday is a monday**)

** Homework :**

Section 1.8 : 2, 3, 8, 9, 20, 21, 23, 29, 31

Section 1.9 : 1, 4, 11, 14, 23, 25, 27

**Week 5** (February 25):

** Quizz # 2 on February 26: **
Sections 1.7, 1.8, 1.9

** Homework :**

Section 2.1: 1, 2, 3, 4, 9, 10, 11, 12, 20

Section 2.2: 1 abe, 2 abe, 9, 11, 21, 23, 24, 27

**Week 6** (March 3):

** Homework :**

Section 2.3: 7, 9, 10

Section 3.1: 5, 8, 15, 16, 17, 24, 27

Section 3.2: 1abde, 7abde, 9abde, 11, 13, 16, 17, 19, 21, 22

**Week 7** (March 10):

** Quizz # 3 on March 11: ** Sections 2.1, 2.2, 2.3, 3.1, 3.2

** MIDTERM on March 13 **

** Homework :**

**Week 8** (March 17): ** Spring break week **

**Week 9** (March 24): (** March 25 is the last day to drop with "W"**)

** Homework :**

Section 3.3 : 1, 5, 7, 9, 11, 13, 14, 19

Section 3.4 : 1, 4, 5, 6, 10, 11, 12, 15, 22, 23

Section 3:5 : 3, 4, 7, 8, 11, 17, 18

**Week 10** (March 31):

** Quizz # 4 on April 1: ** Sections 3.3, 3.4, 3.5

** Homework :**

Section 3.6: 2,3, 10, 11, 15, 16, 23, 24 , 29

Section 3.7: 1, 2, 4, 5, 9, 11, 13

**Week 11** (April 7 ):

** Homework :**

Section 4.1 : 1, 3, 10, 15, 19, 25, 32, 39

Section 4.2 : 1, 4, 11, 12, 17, 18

**Week 12** (April 14):

** Quizz # 5 on April 15: ** Sections 3.6, 3.7, 4.1, 4.2

** Homework: **
Section 4.3: 2, 5, 11, 12, 15, 16, 21

**Week 13** (April 21):

** Homework :**

Section 6.1: 1, 2, ,6, 8, 9, 10, 11, 17, 18, 22

Section 6.2: 1, 2, 6, 7, 10, 11, 12, 14

**Week 14** (April 28):

** Quizz #6 on April 29: Section 4.3, 4.4, 6.1, 6.2
**

** Homework :**

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

**Week 15** (May 5):

** Homework :**

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

Section 6.6: 1,2, 3, 5

**Week 16** (May 12): (Tuesday May 13 is the last day of class)

** Quizz # 7 on May 13: 6.3, 6.4, 6.6 **