MATH 3303 Ordinary Differential Equations

Fall Semester 2002

Instructor:

Michele L. Joyner

Mathematics Department

Boyd
309

Phone:
tba

mjoyner@westga.edu

Office
hours: Mon, Wed. 1:00-4:00; Tues. 9:00-12:00; Fri. 1:00-2:00, or by appointment

Credit Hours:
3

Course
Description:

Modeling with and solutions of ordinary differential
equations, including operators, Laplace transforms, and series; systems of
ODE’s; and numerical approximations.

Learning
Outcomes:

¨
The student will be identify the order and linearity of a
differential equation. (L1,
L5, L9)

¨
The student will be able to solve a first order equation by
separation of variables. (L1, L8)

¨
The student will be able to solve a linear first order
equation using an integrating factor to make it exact. (L1, L8)

¨
The student will be able to solve a linear, constant
coefficient, homogeneous, higher order equation by finding the characteristic
roots. (L1, L8)

¨
The student will be able to solve an inhomogeneous equation
using undetermined coefficients or variation of parameter. (L1, L8, L9)

¨
The student will be able to find power series solutions of
linear equations with or without singularities. (L1, L8, L9)

¨
The student will be able to solve systems of linear
equations by elimination or by finding eigenvalues of the coefficient matrix. (L1, L8, L9)

¨
The students will be able to efficiently use computer
resources to solve ordinary differential equations. (L8, L9)

¨
The students will be able to analyze the solutions of a
differential equation model and compare to data to discern the validity of a
model and will present their findings in a organized, well-written form. (L1, L4, L8, L9)

Textbook:

Dennis
G. Zill, *A First Course in Differential
Equations *The Classic Fifth Edition, Brooks/Cole,

2001.

Prerequisites:

Math 2644 (Calculus II) or consent
of department

Requirements
and Grading:

¨ Exams:
There will be three 1 hour tests worth 100 points each:

Test
1: Wednesday, September 18

Test
2: Monday, October 21

Test
3: Monday, November 25

¨ Final Exam: There
will be one comprehensive 2 hour final exam worth 200 points:

Wednesday,
December 11, 11a.m -1 p.m.

¨ Computer Assignments: The
computer will be used as a supplemental technique to aid in the learning of
ordinary differential equations. All programming will be done using the Maple
software package. Maple provides a convenient interface to symbolic, numerical,
and graphical interpretations of a variety of mathematical objects. There will
be a total of six Maple assignments given out over the course of the semester
which will be handed in and graded. The assignments will be geared towards
helping you learn how computers can be an asset in the study of ordinary
differential equations as well as give you an opportunity to apply ordinary
differential equations to “real-world” applications. You are allowed to work in
groups of two or three to complete these assignments with only ONE write-up
handed in with all names of the people in the group listed on it. Every person
in the group will receive the same grade. Note that you are NOT required to
work in groups, but it may ease the learning and help make learning and
completing the assignments more fun. The grades from the six assignments will
be averaged and converted to a 100-point basis (equivalent to one test). The
approximate due dates for the assignments are listed below (subject to change
based on the speed of the course):

Maple
Assignment #1: Due Friday, September 6

Maple
Assignment #2: Due Monday, September 23

Maple
Assignment #3: Due Wednesday, October 9

Maple
Assignment #4: Due Monday, October 28

Maple
Assignment #5: Due Wednesday, November 13

Maple
Assignment #6: Due Monday, December 2

¨ Quizzes: There
will be a total of ten 10 minute unannounced pop-quizzes of which the two
lowest scores will be dropped. The remaining quizzes will be averaged and converted
to a 50 point basis (equivalent to half of a test score).

¨ Homework: This
is an important part of the course. There will be no homework assignments to be
handed in. However, at the end of most classes you will be given a list of
problems – these are the minimum that you should work. Some of these problems
will be gone over in the next class session, and the quizzes will be very
similar to assigned homework problems. Practice is important. You should make
sure to set aside some time every class day to work problems.

¨ Grading: My
grading scale is straightforward. There are a total of 650 possible points.
Your total number of points will be calculated and converted to a percentage.
The grading scale is listed below with the total points required in parenthesis:

A(excellent) = 90-100% (585
– 650 points)

B(good) = 80-89% (520
– 579 points)

C(adequate) = 70-79% (455
– 514 points)

D(poor) = 60-69% (390
– 449 points)

F(dismal) = 59% and below (384
points or below)

Make-ups:

No make-up
quizzes will be given. Except in extreme circumstances, any missed exam must be

made
up within one week of the day the exam was given. There must be a reasonable
excuse for

missing
the exam and the excuse must be in writing. Maple assignments are to be
collected on the

date
announced. The assignments will be given out with plenty of time to complete.
Late

assignments
will only be accepted under extreme circumstances upon my approval.

Attendance
Policy:

There is no penalty for
excessive absences, but good attendance will be used to determine

borderline grades. If a class is
missed, the student is responsible for all material and assignments.

Remember quizzes can not be made up.

** **

** **

**Disabilities:**

Students
with documented disabilities (through West Georgia’s Disability Services) will
be given

all
reasonable accommodations. Students
must take the responsibility to make their disability

known
and request academic adjustments or auxiliary aids. Adjustments needed in relation to test-

taking
must be brought to the instructor's attention well in advance of the test (at
least one week

prior).

** **

Academic
honesty:

Students are expected to achieve and
maintain the highest standards of academic honesty and

excellence as described in the Undergraduate
Catalog. In short, be responsible and do your own

work. Instances of academic
dishonesty will be handled accordingly.

Other Important
Dates:

Last
day to withdrawal with grade of W is October 10.

Proposed Course
Schedule (Tentative):

__Date__ __Sections__ __Date__ __Sections__

(M) August 19 1.1 (M) October 21 Test #2

(W)
August 21 1.1 (W) October 23 6.1

(F)
August 23 1.2 (F) October 25 6.1, 6.2

(M)
August 26 2.1, 2.2 (M) October
28 6.2, 6.3 – Maple #4 Due

(W)
August 28 2.2, 2.3 (W) October
30 6.4

(F)
August 30 2.3 (F) November 1 6.4

(M)
September 2 Labor Day – no classes (M) November
4 6.5

(W)
September 4 2.4 (W) November 6 8.3

(F)
September 6 2.5 – Maple #1 Due (F) November 8 8.4

(M)
September 9 2.5 (M) November 11 8.5

(W)
September 11 3.2 (W) November 13 8.5 – Maple #5 Due

(F)
September 13 3.3 (F) November 15 8.6

(M)
September 16 Review (M) November 18 8.6

(W)
September 18 Test #1 (W) November 20 8.8

(F)
September 20 4.1 (F) November 22 Review

(M)
September 23 4.1 – Maple #2 Due (M) November
25 Test #3

(W)
September 25 4.2 (W) November 27 No classes

(F)
September 27 4.3 (F) November 29 No classes

(M)
September 30 4.3 (M) December 2 8.9 – Maple #6 Due

(W)
October 2 4.4 (W) December 4 Review

(F)
October 4 4.4 (F) December 6 Reading Day

(M)
October 7 4.7 (M) December 9

(W)
October 9 5.1 – Maple #3 Due (W) December 11 Final Exam 11 a.m. – 1 p.m.

(F)
October 11 5.2 (F) December 13

(M)
October 14 5.3

(W)
October 16 5.4

(F) October 18 Review

** **