This WEB page is
http://www.math.umd.edu/~jmc/246 (or jcohen.me/246),
and was last updated: 8-14-09
Title: Differential
Equations
for Scientists and Engineers
Instructor: Professor Joel
M. Cohen
Office: MTH 2313,
Telephone: (301)405-5109, Home phone: (202)546-1823.
M-W
Class Time: M-F, 9:30-10:50, Section 0101
Location:Math 0307
E-mail address: jcohen@umd.edu
Grader, email, office: Ben
Sibley, bsibley@umd.edu, Math 4202
Tutoring is available Monday - Friday from 12:30 - 2:30 p.m.
For help with differential equations, Daniel Weinberg will be in room
0409.
For help with Matlab, Min Tang will be in the Owl Lab, room 0203.
Prerequisite: Math 141
Book: Elementary
Differential Equations (Eighth Edition), by Boyce & DiPrima
Differential
Equations with Matlab (Second Edition), by Hunt,
Lipsman,
Osborn & Rosenberg.
Office Hours: M,W 12:30-1:30 p.m. By
prearrangement, I may be ableryy to meet at alternate times.
Occasionally, it may be
necessary
to change this time, so let me know if you are planning to see
me.
You can also send me email, which I will answer as quickly as
possible
during office hours, and as time permits otherwise.
Sample tests: Sample tests are available by clicking here.
This course is an introduction to the basic methods of solving and analyzing ordinary differential equations. In additional to the traditional pencil and paper approach, we will use Matlab as a tool for studying differential equations. Since the study of differential equations depends heavily on concepts from calculus, you must have a firm grasp of the basic elements of calculus, including differentiation and integration.
You should plan to spend at least four hours
working
on Math 246 outside of class for every class. That translates into
twenty hours a week outside of class. If other obligations prevent you
from committing that much time to the course, you should consider
waiting
until the fall semester to take Math 246.
Any student with
a valid reason to be excused from an exam must contact me prior to
the exam, either by email or by phone, and present documentation at
the next class session attended. If you need to be excused
for a religious observance, you should let me know as soon as
possible, but in any case no later than the end of the schedule
adjustment period. If you have a documented disability and
wish to
discuss
academic accommodations with me, please contact me as soon as possible.
Homework: Homework will be due each day. Each day's homework will be based on what is covered in class the previous day. If the assignment is not clear, make sure to ask before leaving the classroom! Homework problems are listed below. The answers to many problems can be found at the back of the text. Exam questions will frequently be only slight variations of the homework. Homework problems will be discussed in class on request.
Matlab: The Mathematical software package Matlab is an important element of the course. Matlab is a commercial software package used extensively by professional scientists, engineers, mathematicians, financial analysts, etc. We will use Matlab as an aid in: graphing solutions of differential equations, analyzing the qualitative nature of solutions to differential equations, and examining numerical solutions of differential equations. The textbook Differential Equations with Matlab contains instructions for using Matlab. There will be four Matlab assignments to be handed in for grading. You will also hand in a mandatory but ungraded practice assignment - Problem Set A. Material related to the Matlab problem sets may appear on exams.
Collaboration: I encourage you to work together in small groups (3-5 students) on the Matlab problem sets, and to hand in a single solution to the problem set with the names of all group members who participated actively on the problem set. You will save yourself a lot of time and frustration by working in a group.
Grading: A total of 800 points is available in the course, allocated as follows:
1. Three 80-minute in-class exams, each worth 200
points. The lowest grade will be counted for half.
2. Four Matlab assignments, each worth 50 points.
3. Daily homework assignments, for a total of 100
points.
| Three in-class Exams | 500 | |
| Matlab Assignments (50 points each) | 200 | |
| Homework | 100 | |
| Total | 800 |
Quality: The quality of presentation of solutions will be taken seriously in this course in the grading of tests and Matlab assignments.
A tentative schedule of exams, lectures, and Matlab assignments follows.
|
|
|
|
| July 13 |
1.1, 2.1 | Chapters 1 & 2 |
| 14 |
2.2 | Chapter 3 |
| 15 |
2.3 | P.S. A due |
| 16 |
2.4 | Chapter 4 |
|
17 |
2.5 | Chapters 5 & 6 |
| 20 |
2.6 | |
| 21 |
8.1, 8.2 | Chapter 7 |
| 22 |
8.3 | Chapter 8 |
| 23 |
3.1 | P.S. B due |
| 24 |
Review | |
| 27 |
Exam #1 | |
| 28 |
3.2, 3.3 | |
| 29 |
3.4, 3.5 | |
| 30 |
3.6 | P.S. C due |
| 31 |
3.7 | Chapter 9 |
| Aug. 3 |
3.8 | |
| 4 |
3.9 | |
| 5 |
6.1,6.2 | Chapter 11 |
| 6 |
Review | |
| 7 |
Exam #2 | |
| 10 |
6.3, 6.4 | |
| 11 |
7.1,7.2 | |
| 12 |
7.3. 7.4 | P.S. D due Chapter 12 |
| 13 |
7.5, 7.6 |
|
|
14 |
7.7 |
|
| 17 |
9.1, 9.2 | |
| 18 | 9.3 | P.S. F due |
| 19 | 9.4, 9.5 | |
| 20 |
Review | |
| 21 |
Exam #3 |
| 1.1 | 2, 6, 8, 16, 18, 20, 23 | 3.6 | 1, 5, 9, 15, 19, 23, 28 | |
| 2.1 | 1-11 odd (c) only, 13 & 15 all, 28, 35, 36 | 3.7 | 1, 5, 7, 11, 15, 19 | |
| 2.2 | 1-17 odd, 22, 23, 29 | 3.8 | 1, 5, 7, 16, 24 | |
| 2.3 | 2, 6, 8, 16, 19, 21, 27 | 3.9 | 5, 7, 18 | |
| 2.4 | 3, 5, 9, 11, 17, 22, 27, 28 | 6.1 | 5, 9, 11, 13, 17 | |
| 2.5 | 1, 3, 5, 9, 11, 20, 23 | 6.2 | 1, 3, 5, 9, 11, 15, 19, 21, 23 | |
| 2.6 | 1, 5, 9, 13, 22, 23, 27 | 6.3 | 1, 4, 12, 15, 16 | |
| 8.1 | 1(a,b), 7(a,b) | 6.4 | 1, 6, 9, 10, 11 | |
| 6.5 |
1, 3, 5, 15 |
|||
| 8.2 | 1(a,b), 7(a), 15, 16 | 7.1 | 1, 3, 7, 9, 17, 21 | |
| 8.3 | 1, 3, 9(a) | 7.2 | 2, 4, 6 (you may use Matlab), 10, 11, 23, 26 | |
| 3.1 | 1, 3, 5, 7, 9, 13, 17, 23 | 7.3 | 1, 4, 15, 17, 19, 21, 28 | |
| 3.2 | 1, 3, 9, 13, 16, 21, 24 | 7.4 | 6, 7 | |
| 3.3 | 1, 3, 5, 13 | 7.5 | 1, 5, 9, 11, 16, 18, 24, 29 | |
| 3.4 | 1, 3, 5, 7, 11, 15, 19, 23 | 7.6 | 1, 3, 5, 9, 10, 20 | |
| 3.5 | 1, 5, 9, 13, 19, 21 | 7.7 | 1, 3, 5, 7, 9, 13 | |
| MATLAB Assignments | ||||
| A | 1-11 | 9.1 | 5, 7, 9, 11, 13, 15 | |
| B | 3, 5, 10, 15 | 9.2 | 2, 4, 6, 8, 19 | |
| C | 1, 4, 7, 10 | 9.3 | 1, 3, 5, 9, 10, 20 | |
| D | 3, 5, 9, 11 | 9.4 | 1, 3, 5, 12 | |
| F | 1, 8, 9 | 9.5 | 1, 3, 10 |
§ May be changed during the course of the semester. The Math 246 WEBPAGE (www.math.umd.edu/~jmc/246.html) will be kept up-to-date as changes are made.
You are responsible for checking updates of this page.
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