**MATH 3303, Ordinary Differential equations, Fall 2006**

Tue, Thu 2:00 pm – 3:15 pm (3 credit hours), 303 Boyd

**Prerequisites:** A grade of C or above in MATH 2644 (Calculus II).

**Instructor:** Dr. Kwang Shin

**Office Hours: **11:00 am - 1:00 pm on Thursdays, and 3:30 pm – 5:30 pm on Tuesdays and Thursdays.

**Office Hours at Math Lab (205 Boyd): **Tuesdays 11:00 am - 1:00 pm

**Office:** 328 Boyd** Phone: **678-839-4138

**E-mail: **kshin@westga.edu through your campus e-mail (myUWG).

**Course Webpage: **http://www.westga.edu/~kshin/math3303

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

1. Existence theory and classical methods for first order equations (chapters 1&2)

2. Real life applications and the theory of linear equations (chapters 3&4)

3. Techniques and methods for solving general linear equations: operator method, power series, and an introduction to the Laplace transform (chapters 6&7).

We plan to use the computer algebra system Maple to explore topics such as the Laplace transform and the numerical integration of differential equations. If time permits, we will discuss some topics in Chap. 8.

**Required Text: ***Differential Equations with Boundary-Value Problems***, **Sixth Edition, by

Dennis G. Zill and Michael R. Cullen, Brooks-Cole Publishing Company, 2004.

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

-To identify and classify a differential equation,

-To decide whether a solution is unique, and to 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 use computer resources to solve ordinary differential equations.

**Hour Exams:** Exam 1 (Tue, Feb 13), Exam 2 (Tue, Mar 13),

Exam 3 (Tue, Apr 24).

**Final Exam:** Tuesday, May 1, 2:00 pm - 4:00 pm.

The final exam will be cumulative.

**Homework: **Homework will be collected three times during the semester and will be posted at http://www.westga.edu/~kshin/math3303/. It is due at the beginning of class on Feb 6, Mar 6, and Apr 17. Each complete submission will receive 20 points and partial credit will be considered for incomplete work. However, late submission will receive zero point.

**Quizzes: **There will be a quiz on almost every Thursday, consisting of one or two problems that are identical or almost identical to homework problems. Each quiz will be 10 points and three lowest scores will be dropped. If needed, the total quiz score will be converted to 90 point scale at the end of semester.

**Grade Scale: **3 hour exams 300 points (100 points each)

Final 200 points

Quizzes 90 points

Homework 60 points

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Total 650 points

A: 585 (90%) - 650, B: 520 (80%) - 584, C: 455 (70%) - 519,

D: 357 (55%) - 454, F: 0 – 356.

March 1 is the last day to withdraw the class with a grade of W.

**Attendance: **Attendance is expected and required. You are responsible for all material covered in class and all announcements made. Undetermined number of pop-up quizzes may be given for extra points as a way of checking attendance. Such a quiz will consist of one problem, discussed during the same class.

**Make-up: **There will be no make-up quiz. Make-up hour exams will be granted for official University activities if the student notifies the instructor at least a week in advance and for well-documented illness. There will be no make-up final except when a conflict with other finals occurs. If a conflict occurs to you, please inform the instructor at least two weeks in advance. Make-up exams will **not** be given **after** the scheduled exam date.

**Classroom Behavior:** You are expected not to disturb your classmate's learning.

**Academic Honesty:** Academic honesty is fundamental to the activities and principles of a university. All members of the academic community must be confident that each person's work has been responsibly and honorably acquired, developed and presented. Any effort to gain an advantage not given to all students is dishonest whether or not the effort is successful. The academic community regards academic dishonesty as an extremely serious matter, with serious consequences.

In this class, when it happens, the corresponding quiz or exam will receive 0 point and the person's final letter grade will be lowered by one level.