MATH 225, Spring 2008
Introduction to Differential Equations

Course information

Course: MATH 225/0201: Introduction to Differential Equations
Time & Place: MW 7:10pm–8:25pm, SOND 105
Instructor: Dr. Rouben Rostamian
Office: MP 402
Phone: 410–455–2458
Email: rostamian@umbc.edu
Office hours: MW 3:00–4:00 + immediately after each class, else by appointment
Course web page:  http://www.math.umbc.edu/~rouben/2008-01-math225/

Textbook

A First Course in Differential Equations with Modeling Applications (eighth edition) by Dennis G. Zill available at UMBC Bookstore, Barnes and Noble, amazon.com, ichapters.com, and elsewhere. The bookstore also offers an option for a downloadable version. We will cover most of the chapters 1, 2, 3, 4, 5, 7, 8, 9. That is essentially the entire book minus Chapter 6.

Course Description

The subject of this is course is an introduction to ordinary differential equations and their applications. It's pretty much a natural continuation of calculus, so if you liked calculus, you will like this course.

Calculus II (Math 152) is a prerequisite. A knowledge of Linear Algebra (Math 221) will help but it's not a prerequisite.

Course Goals/Objectives

In this course you will learn:

Weekly homework

I will put homework assignments on this web page shortly after each class. Solutions of problems assigned on the Monday and Wednesday of week n are due on the Wednesday of week n+1. I will have some of the problems graded and will return them to you on the following Monday.

I won't take late homework; please don't ask for exceptions. However the two lowest homework grades will be dropped to accommodate unanticipated events.

Exams and grading

Exams 1 and 2 will cover approximately the first third and second third of the course; they will be given in the regularly scheduled class time.

The Final Exam will be comprehensive—it will cover the entire course—however it will put greater emphasis on the material covered in the later parts of the course.

 The Final Exam is on Friday May 16 6:00pm–8:00pm, in SOND 105 

Homework: 15%
Exam 1: 25%
Exam 2: 25%
Final Exam: 35%

Your course grade will be calculated based the weights attached to various components as shown in the adjacent table. Letter grades will be determined according to:

if { grade ≥ 85: A}
else if { grade ≥ 75: B}
else if { grade ≥ 65: C}
else if { grade ≥ 55: D}
else F

I will make and grade the exams in a fair and reasonable way, but sorry, no "curving" in this course.

Homework assignments

Homework Assignments
Jan 28 Sec. 1.3: #1, 2, 3, 4
Jan 30 Sec. 1.3: #6, 9, 10, 12, 14
Feb 4 Sec. 1.3: #17, 19, 21, 36
Sec. 2.2: #6, 7, 17, 21
Feb 6 Sec. 2.2: #23, 25, 26, 47
Sec. 2.3: #5, 7, 10, 25, 26
Feb 11 Sec. 2.3: 28, 31, 32, 34, 35, 37
Sec. 2.5: 3, 7, 11
Feb 13 Sec. 2.5: #15, 17, 22, 24, 26
Feb 18 Sec. 2.6: #1,2
Optional: Sec. 2.6: #3, 5, 7, 10
Feb 20 Sec. 3.1: #1, 2, 5, 6, 7, 9, 11, 12, 17
Feb 25 Sec. 3.1: #34, 35
Sec. 3.2: #3, 4
Feb 27Exam #1 based on material covered from Jan 28 to Feb 20. Bring along a calculator.
Mar 3 Sec. 3.3: Read assignment
Mar 5 No additional homework assigned today.
Interesting article on predator-prey from this week's issue of Nature.
Mar 10 Sec. 4.3: #3, 4, 7, 8, 29, 31
Mar 12 Sec. 4.3: #9, 11, 13, 30, 33
Mar 17Spring Break
Mar 19Spring Break
Mar 24 Sec. 4.3: #5, 6, 34
Sec. 4.2: #1, 9, 10, 11
Mar 26 Sec. 4.3: #15, 16, 17, 22, 24, 25
Mar 31 Sec. 4.4: #1, 3, 4, 8, 9, 12, 13, 27, 29, 33, 34
Apr 2 Sec. 4.6: #1, 2, 5, 11, 19
Apr 7 Sec. 4.7: #1, 2, 5, 10, 11, 21, 23, 24
Apr 9Exam #2 based on material covered from Feb 25 to Apr 2.
Apr 14 Sec. 5.1: #1, 2, 3, 4, 9
Apr 16Sec. 5.1: #22, 23, 24, 25, 27
Apr 21 Sec. 5.1: #31, 32, 35, 36(a)
Apr 23 Sec. 7.1: #1, 3, 7, 10, 15, 23, 25, 37, 38
Apr 28 Sec. 7.2: #3, 5, 9, 15, 17, 19, 25, 33, 34, 35
Apr 30 Sec. 7.3: #3, 7, 8, 11, 13, 15, 17, 19, 21, 23, 25, 37, 39, 40, 41, 43, 45, 47
May 5 Sec. 7.3: 63, 64, 65, 66
Sec. 7.4: 1, 3, 9, 11
May 7 Sec. 7.4: #19, 21, 28
May 12No additional homework assigned today

About the final homework: I will not collect the homework assigned on May 5, 7 and 12 but that material will be on the final exam and you are expected to know it.

Instructions for the final exam: I will give you a brief table of Laplace Transforms and other formulas, as I showed in class on May 7. Additionally, you may bring along a “cheat sheet”—a regular sized sheet of paper containing anything that you feel you may need for the exam. You may write on both sides. Also bring along a calculator to work with numbers (no need for a graphing calculator.)

Notes & Comments
Spring 2008 Dates and Deadlines
Exam #1
Solutions
Grade distribution chart
Exam #2
Solutions
Grade distribution chart


 The Final Exam is on Friday May 16 6:00pm–8:00pm, in SOND 105 

The Official UMBC Honors Code

By enrolling in this course, each student assumes the responsibilities of an active participant in UMBC's scholarly community in which everyone's academic work and behavior are held to the highest standards of honesty. Cheating, fabrication, plagiarism, and helping others to commit these acts are all forms of academic dishonesty, and they are wrong. Academic misconduct could result in disciplinary action that may include, but is not limited to, suspension or dismissal.

For detailed policies on academic integrity consult:

Undergraduate students:
Undergraduate Student Academic Conduct Policy
Graduate students:
Policy and Procedures for Student Academic Misconduct

 

Author: Rouben Rostamian