Math 331-03: Spring 2017

Class Meeting : Tu-Th 1:00--2:15, LGRT 121

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 :   Th 9:30--10:30 am,   Friday 10:00--11:30am,   or by appointment.


Teaching Assistants: Office hours will be held in Hasbrouck 242 everyday day Monday to Thursday from 4pm to 6pm .

Instructor :  Michael Boratko
E-Mail : mboratko@math.umass.edu
Office Hours : Tu 5:00-6:00 pm, Th 4:00-6:00

Instructor :  Richard Buckman
E-Mail : buckman@math.umass.edu
Office Hours : M 5:00-6:00 pm, W 4:00-5:00 pm

Instructor :  Tangxin Jin
E-Mail : jin@math.umass.edu
Office Hours : M 5:00-6:00pm, W 4:00-6:00pm

Instructor :  Joy Yu
E-Mail : jyu@math.umass.edu
Office Hours : Tu 4:00-5:30 pm, Th 4:00-5:50pm


Syllabus: This course is an introduction to ordinary differential equations. The topics covered in this class are

Prerequisites are Math 131-132.


Text: Advanced Engineering Mathematics, Tenth edition by Erwin Kreyszig. John Wiley & Sons, Inc. (ISBN: 978-0-470-45835-5)


Course Web page: Please bookmark www.math.umass.edu/~lr7q/m331-spring2017/m331home.html The page will be updated regularly. Check it often for informations about homework, exams!


Online Homework: Please bookmark the online homework webpage http://webwork2.math.umass.edu/webwork2/S17_MATH_331_3/. You can access your weekly homework there.

Your login is your SPIRE user name, that is the first part of your email address: If your email is dfgg@umass.edu, your login is dfgg. Your password is currently set to be your student ID. When you login for the first time you should change your password.

It is a good idea to print out a copy your homework and add it to your notes.


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 and done on-line on the Webwork system.

  Scales for letter grades:     A : 90     A-: 87     B+: 83     B : 79     B-: 75     C+: 71     C : 67     C-: 63    D+: 59    D : 55     F : < 55


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

The following is meant to give a general idea of which sections are covered in which weeks and may be adjusted as needed. All the sections will be covered.
As a general principle the material in a given week will be subject of the homework due the week after to leave you time to review the material.

Week Lecture Event
1/23 1.1 Basic Concepts
1.2 Direction Fields
 
1/30 1.3 Separable ODEs
1.4 Exact ODEs
 

2/6

1.4 Exact ODEs
1.5 Linear 1st order ODEs:Integrating Factors
2/6, the deadline for adding and dropping
2/13 2.1 Homogeneous 2nd order ODEs  
2/20 2.2 Hom. 2nd Order ODEs with Constant Coeff
2.4 Modling of free oscillation of a Mass-spring system
2/20, Monday is Holiday
2/27 2.6 Existence and Uniqueness of solutions
Mid-Term
3/2, Midterm is in the evening
3/6 2.7 Nonhomogeneous ODEs
2.8 Modeling: Forced Osicllation.
3/8, the deadline for withdrawing the course with "W"
3/13

Spring Recess

Spring Recess
3/20

6.1 Laplace Transform

 
3/27

6.2 ODEs with Laplace
6.3 ODEs with a unit step function

 
4/3

6.3 ODEs with a unit step function
6.4 ODEs with a delta function

 
4/10

4.0 Matrix and Vector Basics

 
4/17

4.1 ODE systems
4.3 Phase Plane

4/17, Monday is Holiday; Tuesday=Monday
4/24

4.3 Phase Plane
4.4 Criteria for Critical Points. Stability

 
5/1

Review

5/2, the last day of class
5/8

Final Exam

Final period 5/4-11
5/15  Grade Due Final Grade si due by Monday 5/16