Math 331, Fall 2017: Section 07
Instructor
Instructor: Luc ReyBellet
Office : LGRT 1423 K
Phone : 5456020
EMail : luc@math.umass.edu
Office hours : Tu 3:004:00, F 1112:30, or by appointment
Teaching Assistants: Office hours will be held in TBA .
Instructor : LingChen Bu
EMail : bu@math.umass.edu
Office Hours : M 4pm6pm, Th 5pm6pm
Instructor: Konstantinos Pantazis
EMail : pantazis@math.umass.edu
Office Hours : Tu 4pm6pm, W 5:30pm6:00 pm
Instructor: Jie Wang
EMail : wang@math.umass.edu
Office Hours : W 4:00pm5:30pm, Th 4:00pm5:00pm
Instructor : TBA
EMail :
Office Hours :
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 131132.
Homework due dates
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
WileyPlus that we will use for the class. When settingup your account with Wiley plus there will
be an option to purchase a hard copy of the book for a (small) extrafee.
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 online on WileyPLUS
Midterm Exam :
Monday October 16 Time: 7:00pm9:00pm
Room: GOESSMANN 64
Practice material:
Practice problems
Final:
Friday December 15 Time: 10:30 am12:30 pm
Room: MARCUS HALL 131
Practice material:
Practice problems
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, 2.6, and 2.7 Theory and Euler methods 2.8 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 
7.27.3 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 