Differential Equations (20877) - Spring 98
MWF 9:30-10:20 in CRBL 404
This course will incorporate the use of computer software to illustrate methods of solving differential
equations and systems of differential equations. The course will be taught in the
"Calculus Reform" spirit, explaining the new concepts numerically, graphically
and symbolically. Particular emphasis will be put on modeling of differential
equations, the study of systems of differential equations, and the fundamental
difference in the behavior of linear and non-linear differential equations.
An integral part of the new course will be its laboratory component: You
will participate in in-class computer experiments and will regularly write
outside-of-class laboratory reports!
- Instructor.
Dr. H. Knaust, Bell Hall 219, tel. 747-7002,
e-mail: helmut@math.utep.edu
,
- Office Hours.
MWF 10:30-11:30, or by appointment.
- Other Help.
-
Visit our department's
S.O.S. Mathematics web site at the URL:
http://www.math.utep.edu/sosmath
- The Tutoring and Learning Center, located on the third floor of
the UTEP Library, tel. 747-5366, offers free tutoring.
- Textbook.
Blanchard, Devaney and Hall, Differential Equations.
Preliminary Edition. PWS, Boston.
The textbook is required at all class meetings, and the parts covered in class are
intended to be read in full.
- Prerequisites.
The instructor will assume that you have a thorough knowledge of the
material covered in your Precalculus and your first two Calculus courses.
In particular, it is essential that you are
comfortable with techniques of integration and the method of partial
fractions.
- Contents.
The course will cover the following material:
- Chapter 1.1-1.8 (4 weeks)
- Chapter 2.1-2.6 (3 weeks)
- Chapter 3.1-3.6 and Chapter 4.1 (5 weeks)
- Chapter 8.1-8.4 (2.5 weeks)
Parts of the remaining chapters will be covered as time permits.
- Graphing Calculators.
You may use a calculator in class and on exams.
Some programs for the TI-85
will be made available in class.
- Tests.
Three tests will be given on the following dates:
- Friday, February 13
- Wednesday, March 11
- Monday, April 13
Each test counts 15% of your grade.
Make-up tests
will only be given under extraordinary
circumstances, and only if you notify the instructor
prior to the exam date.
- Laboratory Work.
There will be regular laboratory team assignments. The written lab
reports will be graded; each team member receives the same score.
Your worst score will be dropped, the other lab report scores
count a total of 15% of your grade.
- Homework.
The instructor will regularly assign
homework. Although the homework will not be
collected or graded, it is essential for your
success in this class that you diligently work all
the homework problems. Homework will include reading assignments.
- Quizzes.
There will also be some unannounced quizzes.
Quiz problems will be identical to prior
homework assignments and/or designed to check on your understanding of the
assigned reading material.
Your worst two quizzes will be dropped, the others will make up your
quiz score, which accounts for 10% of your grade.
- Final.
The final on Wednesday, May 6 at 10:00-12:45
is mandatory and comprehensive.
It counts 30% of your grade.
- Fair Warning.
The course's approach to
differential equations is intended to be different. If you have had a
differential equations course already you will probably find much that is unfamiliar and a very
different emphasis on things you may think you know already. Be alert
to this and remember that previous experience is unlikely to be
enough to coast on. Treat each topic as if you were meeting it for
the first time, and be alert to make sure you understand each day's
material before the next class meeting.
- Time Requirement.
It is expected that you spend an absolute minimum of six hours a week
outside of class on solving homework problems, working on the lab assignments,
reading the textbook and reviewing your class notes.
- Drop Policy.
The drop policy at UTEP has changed! The class schedule lists
Friday, March 6
as the last day to drop with an automatic "W". There will be no more faculty-initiated course
drops. After the deadline, the instructor can only drop you from the
course with a grade of "F". Consult the current Class Schedule, page 3, for details.
- Information on the Web.This syllabus and all home work
assignments can be found on my homepage
http://helmut.knaust.info
.
The laboratory assignments, some Mathematica files and some practice tests can be found at
http://www.math.utep.edu/classes
.
December 14, 1997