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
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 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.
Midterm:
Thursday March 2 Room: LGRT 121 Time: 7:00pm--9:00pm
Practice material:
Practice problems
Final:
Friday May 5 Room: Habsbrouck Lab 134 Time: 10:30 -12:30
Practice material: Practice problems and
Table of Laplace transforms
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.| 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 |
|
| 4/3 |
6.3 ODEs with a unit step function |
|
| 4/10 |
4.0 Matrix and Vector Basics |
|
| 4/17 |
4.1 ODE systems |
4/17, Monday is Holiday; Tuesday=Monday |
| 4/24 |
4.3 Phase Plane |
|
| 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 |