**Fall Semester
2003-2004**

**MATH 3303:
Ordinary Differential Equations**

**TR, ****11:00-12:15****, Room: ****Boyd**** ****Building**** 306**

**Textbook: ***Differential Equations with
Boundary-Value Problems***, **Fifth Edition, by Dennis G. Zill and
Michael R. Cullen, Brooks-Cole Publishing Company, 2001.

**Instructor: **Dr. Vu Kim Tuan**
Office: **Boyd Building 325

**Phone: **770-838-2579** E-mail:
**vu@westga.edu

**Office Hours: **Tuesdays, Thursdays: 10:00-11:00, 12:30-13:30. Feel free to stop by my office at any time during office hours or make an
appointment to see me.

**Course Description:**

This course is an introduction to the subject of differential equations and has three components:

- Existence theory and classical methods for first order equations (chapters 1&2)
- Real life applications and the theory of linear equations (chapters 3&4)
- Techniques and methods for solving general linear equations: operator method, power series, systems of linear equations and an introduction to the Laplace transform (chapters 6, 7&8).

We shall use the computer algebra system Maple for symbolic computations and for its linear algebra and integral transforms packages.

**Learning Outcomes: **the student will be able:

-To identify and classify a differential equation

-To decide whether a solution is unique and find its domain of existence

-To solve first order equations by classical methods

-To model a simple process and determine its evolution for large time

-To solve an inhomogeneous equation using undetermined coefficients or variation of parameters

-To find power series solutions of linear equations with analytic coefficients

-To solve systems of linear equations by methods of linear algebra

-To use computer resources to solve ordinary differential equations symbolically

**Quizzes:**

Weekly quizzes are given on Tuesdays, and they usually cover questions from the homework. Each quiz counts 20 points towards your final grade and the best 10 quizzes are counted

**Tests:**

There will be two 75 minutes tests worth 130 points each

Test 1: Thursday September 25^{th}, Test 2: Thursday
November 6^{th}

**Final Exam:**

The final exam is comprehensive, and is Tuesday, December 9^{th},
11 AM – 1 PM and counts 240 points towards your final grade

**Evaluation:**

Tests 2x130 points + Quizzes 10x20 points + Final 240 points = 700 points

**Grades:**

F=[0,420), D=[420, 490), C=[490-560), B=[560, 630), A=[630, 700]

**W Deadline: **October 9^{th} is the last day to
withdraw with grade of W

**Attendance: **6 absences lead to WF

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