Math 331.2: Spring 2010

Class Meeting : MWF 12:20—1:10, LGRT 101

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 :   Monday 2:00--3:15,   Wednesday 2:30--4:00,   or by appointment.

Teaching Assistants: There are 2 teaching assistants shared among all sections of Math 331. They will hold office hours every day from monday to thursday from 5pm to 7pm. If you have any questions go their office hours (or mine).

Room :

• Monday 5pm--7pm : LGRT 117
• Tuesday 5pm--7pm : LGRT 117
• Wednesday 5pm--7pm : LGRT 111
• Thursday 5pm--7pm : LGRT 119

Instructor :   Sami Zreik
 Office :   LGRT 1337
 Phone :   545-0467
 E-Mail :   zreik <at> math.umass.edu

Instructor :   Chenyu Wang
 Office :   LGRT 1423 P
 Phone :   545-0713
 E-Mail :   chenyu <at> math.umass.edu

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.

• Second order linear differential equations. Forcing and resonances.

• Laplace transform methods.

• Systems of linear differential equations: eigenvalues and eigenvectors, phase portraits.

• Numerical methods.

Prerequisites are Math 132, corequisite are Math 233.

Text: Elementary Differential Equations, Ninth edition by W.E. Boyce and R.C DiPrima. John Wiley & Sons, Inc. (ISBN: 978-0-470-03940-3)

Course Web page: Please bookmark www.math.umass.edu/~lr7q/m331-spring2010/m331home.html The page will be updated regularly. Check it often for informations about quizzes, homework, exams!

Grading: There one midterm exam worth 1/3 of the grade and one final exam worth 1/3 of the grade. Homework are assigned weekly but the homework will not be collected and graded, every two weeks there is a quizz in class which consists of two questions similar to the questions in the homework. The quizzes are graded and they count as the last 1/3 of your grade. 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.

• Midterm:     Wednesday March 10     Room: LGRT 101     Time: 7:00pm--9:00pm
  Practice material: Practice problems  

• Final:     Monday May 10     Room: Goessmann Lab. Add rm 64     Time: 10:30 am--12:30pm
  Practice material: Practice problems    

• Week 1 (January 19):

  Homework : Section 1.1. and 1.2 : Homework set #1

• Week 2 (January 25):

  Homework : Section 2.1. and 2.2 : Homework set #2

• Week 3 (February 1): (Monday February 1 is the last day to drop with no record)

  Quizz #1 on Wednesday February 3 : Sections 1.1, 1.2, 2.1, 2.2

  Homework : Section 2.3: Homework set #3

• Week 4 (February 8):

  Homework : Section 2.5: Homework set #4

• Week 5 (February 15): (Monday February 15 is a holiday, tuesday is a monday)

  Quizz # 2 on Wednesday February 17: Sections 2.3 and 2.5.

  Homework : Sections 2.4 & 3.1: Homework set #5

• Week 6 (February 22):

  Homework : Sections 3.2 & 3.3, 3.4: Homework set #6

• Week 7 (March 1):

  Quizz # 3 on Wednesday March 3: Sections 2.4, 3.1, 3.2, 3.3, 3.4

  Homework : Section 3.5 Homework set #7

• Week 8 (March 8):

  MIDTERM on Wednesday March 10, 7:00--9:00 pm, LGRT 101 : Sections 1.1, 1.2, 2.1, 2.2, 2.3, 2.4, 2.5, 3.1, 3.2, 3.3, 3.4

  Homework : Section 3.7 Homework set #8

• Week 9 (March 15): (Spring break week)

• Week 10 (March 22):

  Quizz # 4 on Wednesday March 24: Sections 3.5 and 3.7

  Homework : Section 3.8 Homework set #9

• Week 11 (March 29):

  Homework : Section 6.1, 6.2, 6.3 Homework set #10

• Week 12 (April 5):

  Quizz # 5 on Wednesday April 7: Sections 3.8, 6.1, 6.2, 6.3

  Homework : Sections 6.3., 6.4, 6.5 Homework set #11

• Week 13 (April 12):

  Homework : Section : see next week
  

• Week 14 (April 19): (Monday is a holiday, wednesday is a monday)

  Quizz # 6 on Wednesday April 21: Sections 6.3, 6.4, 6.5

  Homework : Sections 7.5 Homework set #12

• Week 15 (April 26):

  Homework : Sections Sections 7.6, 7.8, 9.1 Homework set #13

• Week 16 (May 3): (Tuesday May 4 is the last day of class, Thursday May 6 is the first day of the final examinations)

Quizz # 7 on Monday May 3: Sections

FINAL on Monday May 10, 10:30am--12:30pm Goessmann Lab. Add rm 64 :