MATH 225/0101 [4036], Spring 2008
Introduction to Differential Equations

Course information

Course:	MATH 225/0101 [4036]: Introduction to Differential Equations
Time/Place:	TTh 10:00am-11:15am, MP 103
Instructor:	Dr.  Jacob Kogan	Grader:	Debora Lin
Office:	MP 427
Phone:	410-455-3297
Email:	kogan at math.umbc.edu		debora.lin@umbc.edu
Office hours:	Th 12:15pm-1:00pm and by appointment

Textbook

A First Course in Differential Equations with Modeling Applications (eighth edition) by Dennis G. Zill available, for example, at UMBC Bookstore, Barnes and Noble, amazon.com, ichapters.com. The bookstore also offers an option for a downloadable version.

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

We will cover most of the chapters 2, 3, 4, 5, 7, 8, 9. We may cover these topics in a different order. Depending on time we may cover more (or delete) topics.

Learning Goals

• understand the key ideas, concept, definitions, and results,
• be able to apply theoretical results and computational algorithms to material realted problems.

• preview each section before it is covered in class,
• actively participate in each class,
• form and participate in a study group,
• to work out each problem, discuss it in study group if needed;
• do and hand in each assignment on time.

Helpful Material

• partial fractions
• second order differential equations

Homework, Quizzes, Tests, and Grading

• Weekly homework will be assigned on Thursday and collected the following Thursday.
• The two lowest homework grades will be disregarded.
• Please staple your homework, and present the problems in the order assigned, if you want credit.
• No late homework will be accepted.

The final grade will be based on homework grades (20 pt), four quizzes (20 pt each), and the comprehensive final (50 pt).

Homework assignments

• Sec. 2.2, p.54: 2, 9, 16, 22, 24, 30, 39(a), 45.
• Sec. 2.3, p.65: 6, 13, 21, 26, 30, 47.
• Sec. 2.4, p.73: 5, 13, 21, 26, 29, 32, 35, 38, 39(a,b).
• Sec. 2.5, p.78: 3, 9.
• Sec. 2.5, p.78: 17, 20, 22, 27, 29.
• Sec. 4.1, p.137: 5, 7, 12, 14, 16, 22, 23, 27, 36.
• Sec. 4.2, p.141: 2, 6, 10, 16, 20.
• Sec. 4.3, p.146: 7, 9, 14, 29, 37, 41, 49.
• Sec. 4.6, p.172: 1, 3, 9, 13, 18, 19, 23.
• Sec. 4.5, p.166: 3, 9, 13, 20, 25, 29, 39, 47, 69.
• Sec. 4.4, p.158: 3, 10, 15, 27, 31, 37, 41.
• Sec. 4.7, p.178: 5, 11, 19, 23, 33, 35, 37.
• Sec. 4.8, p.182: 1, 5, 11, 13, 15.
• Sec. 4.9, p.188: 3, 7, 11.
• Sec. 7.1, p.283: 3, 7, 9, 11, 13, 17, 19, 35, 39.
• Sec. 7.2, p.292: 3, 5, 9, 11, 21, 29, 33, 35, 41.
• Sec. 7.3, p.301: 3, 7, 11, 15, 19, 25, 29, 31, 37, 47, 55, 59, 63, 65.
• Sec. 7.4, p.312: 1, 3, 7, 13, 21, 27, 33, 37, 41, 51, 53.
• Sec. 7.5, p.318: 3, 7, 12.
• Sec. 7.6, p.322: 3, 5, 13, 15(b).
• Sec. 8.1, p.336: 3, 7, 17, 21.
• Sec. 8.2, p.351: 3, 5, 13, 19, 21, 29, 33, 35.
• Sec. 8.3, p.458: 1, 5, 9, 13, 19, 25, 31.
• Sec. 8.4, p.362: 1, 5, 9, 14, 19, 23.
• Sec. 3.1, p.98: 3, 6, 9, 13, 16, 21, 27, 34.
• Sec. 3.2, p.108: 2, 10, 11, 14, 16, 20.
• Sec. 3.3, p.117: 1, 7.
• Sec. 5.1, p.207: 3, 5, 11, 13, 21, 33, 37.
• Sec. 5.2, p.217: 7, 9, 15, 25, 27, 29.

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.

To read the full Student Academic Conduct Policy, consult the UMBC Student Handbook, the Faculty Handbook, or the UMBC Policies section of the UMBC Directory.