Math 331, Fall 2017: Common information for all sections
Course chair information
Course chair: Luc Rey-Bellet
Office : LGRT 1423 K
Phone : 545-6020
E-Mail : luc@math.umass.edu
Instructors:
| Class Number | Section | Instructor | Location | Meeting Time |
| 35741 | 331.1 | Efstathios Charalampidis | MWF 11:15AM-12:05AM | |
| 35742 | 331.2 | Hongkun Zhang | TuTh 1:00PM-2:15 PM | |
| 35743 | 331.3 | Pedro Villanova |
|
MWF 12:20PM--1:10PM |
| 35805 | 331.4 | Pedro Villanova | MWF 1:25PM-2:15PM | |
| 35846 | 331.5 | Hongkun Zhang | TuTh 11:30AM--12:45PM | |
| 35860 | 331.6 | Tangxin Jin | TuTh 8:30am--9:45am | |
| 35870 | 331.7 | Luc Rey-Bellet | TuTh 10:00AM-11:15AM | |
| 35881 | 331.8 | Jonathan Maack | MWF 1:25PM-2:15PM | |
Teaching Assistants: Office hours for all sections of MATH 331 will be held in Hasbrouck 137 everyday day Monday to Thursday from 4pm to 6pm .
Instructor : Ling-Chen Bu
E-Mail : bu@math.umass.edu
Office Hours : M 4pm--6pm, Th 5pm--6pm
Instructor: Konstantinos Pantazis
E-Mail : pantazis@math.umass.edu
Office Hours : Tu 4pm--6pm, W 5:30pm--6:00 pm
Instructor: Jie Wang
E-Mail : wang@math.umass.edu
Office Hours : W 4:00pm--5:30pm, Th 4:00pm--5:00pm
Syllabus: This course is an introduction to ordinary differential equations. The topics covered in this class are
First order linear and nonlinear equations: analytic methods for solving linear equations, separable equations and exact equations.
Modeling with linear first order equations: exponential growth and decay; mixing problems; interest rates; and others.
Modeling with nonlinear first order equations, geometric methods and qualitative analysis, population models, phase portrait and classification of equilibrium points.
Theory, linearity principle.
Homogenous second order linear differential equations with constant coefficients. Real, complex roots, and repeated roots.
Inhomogeneous second order linear differential equations: methods of undetermined coefficients.
Modeling with linear second order equations: Mechanical and electrical oscillations. Forcing and resonances.
Laplace transform methods.
Laplace transform for initial value problems.
Discontinuous forcing.
Impulse functions and convolutions
Systems of linear differential equations: eigenvalues and eigenvectors, phase portraits.
Review of linear algebra: matrices, eigenvalues and eigenvectors.
System of linear equations with constant coefficients: solving initial value problems with real and complex eigenvalues.
Classification of equilibrium points, sinks, sources, saddles, centers, spiral sinks and spiral sources.
Prerequisites are Math 131-132.
Text and online homework:
We will use the textbook Elementary Differential Equations, 11th Edition (2017) by William E. Boyce, Richard C. DiPrima, Douglas B. Meade. An electronic copy of the textbook is integrated in the homework system
Wiley-Plus that we will use for the class. When setting-up your account with Wiley plus there will
be an option to purchase a hard copy of the book for a (small) extra-fee.
Grading and Exams
There will be one midterm exam (worth 1/3 of your grade) common to all sections and a final exam (worth 1/3 of your grade) common to all sections. Homework are assigned weekly and done on-line on WileyPLUS
Midterm Exam :
Monday October 16 Time: 7:00pm--9:00pm
Room: Marcus 131 for Sections 03, 04, 06 (Pedro Villanova and Tangxin Jin sections)
Room: Hasbrouck Add 20 for Sections 02, 05 and 08 (Hongkun Zhang and Jonathan Maack sections)
Room: Goesmann 64 for Sections 01 and 07 (Stathis Charalampidis and Luc Rey-Bellet sections)
Practice material:
Practice problems
Final:
Room: Time:
Practice material:
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 |
| 9/5 | 1.1, 1.2, and 1.3 Introduction | |
| 9/11 | 2.1 Linear ODEs 2.2 Separable ODEs |
|
|
9/18 |
2.3 Modelling with ODEs 2.5 Autonomous equations |
M 9/18 last day to drop without record |
| 9/25 |
2.4, 2.7, and 2.8 Theory and Euler methods 2.6 Exact equations |
|
| 10/2 |
3.1 2nd order equations with constant coefficients 3.2 Theory |
|
| 10/9 | 3.3 Complex roots 3.4 Repeated roots |
M 10/9 is a Holiday and Tu10/10 follows Monday schedule |
| 10/16 | 3.5 Nonhomogeneous ODEs 3.7 Mechanical and Electrical oscillations |
M 10/16 MIDTERM Th 10/19 Last day to drop with "W" and select "P/F" |
| 10/23 |
3.8 Forced oscillations |
|
| 10/30 |
6.2 Initial value problems |
|
| 11/6 |
6.4 Discontinuous forcing |
|
| 11/13 |
7.1 Introduction to systems |
|
| 11/20 |
|
Thanksgiving recess |
| 11/27 |
7.2--7.3 Matrices |
|
| 12/4 |
7.5 Real eigenvalues |
|
| 12/11 |
Review |
Tu 12/12 is last day of classes |
| 12/18 |
Final Exam |
Final period 12/14 -- 12/20 (Snow day 12/21) |
| Grades | Final Grade is due by Tu 1/2 |