MATH 3303: Ordinary Differential Equations:

Spring 2003

Instructor:

Dr. A. Boumenir, Boyd 316

Phone:
770-836-4348 or E-mail:
boumenir@westga.edu

Office hours:

Monday,
Wednesday and Friday, 10:00-13:00 or by appointment

Textbook:

D. G.
Zill, *A First Course in Differential
Equations *The Classic Fifth Edition, Brooks, 2001.

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.
(chaps 1&2)

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

3.
Techniques and methods for solving general linear equations:
operator method, power series, systems of linear equations and an introduction
to the Laplace transform (chaps 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 (L1, L5, L8)

¨
To decide whether a solution is unique and find its domain
of existence (L1, L2)

¨
To solve first order equations by classical methods (L1, L8)

¨
To model a simple process and determine its evolution for
large time (L8, L9)

¨
To solve a linear equation with constant coefficients by
finding the characteristic roots. (L1, L8)

¨
To solve an inhomogeneous equation using undetermined
coefficients or variation of parameter (L1, L8, L9)

¨
To find power series solutions of linear equations with
analytic coefficients (L1,
L8, L9)

¨
To solve systems of linear equations by methods of linear algebra
(L1, L8, L9)

¨
To use computer resources to solve ordinary differential
equations symbolically (L8,
L9)

Quizzes:

Weekly
quizzes are given on Mondays, 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 three 1 hour tests worth 100 points each:

Test
1: Monday February 10^{rd}, Test 2: Monday March 10^{th}, Test 3: Monday
April 14^{th}.

Final
Exam: The
final exam is comprehensive, and is Friday, May 2, 11 am-1 pm and counts 200
points towards your final grade.

**Evaluation:** Tests 3x100 points + Quizzes 10x20 points + Final 200
points = 700points.

**Grades:** F=[0,420), D=[420, 490), C=[490, 560), B=[560,
630), A=[630, 700].

**W Deadline**: February 27^{th}
is the last day to withdraw with grade of W.

**Attendance:** 8 absences lead to WF.

**Recommendation:**

Seek knowledge! Ask questions; feel free to stop by my office at any time during office hours or make an appointment to see me.