Math 331, Fall 2017: Section 5 Office :   LGRT 1335 H 
Phone
:  545-2871 
E-Mail :   hongkun@math.umass.edu 
Office hours : F 11--12:30, or by appointment


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 : 

Instructor :  Georgios Tsolias  
E-Mail : tsolias@math.umass.edu  
Office Hours : 

Instructor :  Jie Wang 
E-Mail : wang@math.umass.edu  
Office Hours : 


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

 

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 


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

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
6.1 Laplace transform

 

10/30

6.2 Initial value problems 
6.3 Step functions

 

11/6

6.4 Discontinuous forcing
6.5 Impulse functions

 

11/13

7.1 Introduction to systems

 

11/20

Thanksgiving recess

11/27

7.2--7.3 Matrices
7.4 Theory

 

12/4

7.5 Real eigenvalues 
7.6 Complex 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