||Calculus III is a co-requisite and Math 1920 (Calculus II) must
have been completed with a grade of C or higher.
Note: Contact your instructor immediately if these requirements
have not been met.
||Textbook: Differntial Equations
by James Brannan and Wlliam Boyce. Wiley Publishers, ISBN: 0 -
471 - 65141 - 9
Calculator: Texas Instruments 83(plus) / 84 graphing calculator.
Materials: Engineering pad (bookstore), transparent straight-edge
with cm-scale, and compasses.
Mathematical models involving Differential Equations (DE)
First order DE and models:
Qualitative methods: Slopefields and the phase line
Numerical estimates: Eulers method
Quantitative analysis: Separable, Linear and Exact equations and
Second order Linear DE and Oscillators
Fundamental Solution of Homogeneous Linear DE
Solution of non-homogeneous linear DE: Variation of
parameters and Green's Functions.
Systems of Differential Equations
Phase Plane Analysis
Linear systems and Matrix Methods
Linearization of non-linear systems
The Laplace Transform for DE and systems of DE
Stepfunctions and the Dirac Delta function
and Scale :
|Approx. 6 Laboratories : 50 points
Approx. 4 Term Exams : 100 points each
Comprehensive Final Exam : 200 points
A: 100-90, B+: 89-87, B:86-83, B-: 82-80,
C+: 79-77, C:76-73, C-: 72-70, D+: 69-67,
D:66-63, D-: 62-60, F: < 60 points.
||Tests can be made up only with a Valid University Excuse, see
Student Handbook for details.
Throughout the course, we will use the computer algebra system MAPLE
to support computational and graphing tasks. No prior computer
programming exposure is expected and introductory sessions will be held as
soon as lab space is secured.
The laboratories are take-home sets of assignments which will address
both theoretical and practical (modeling) questions.
Students who have pre-arranged honors credit for this course
are expected to complete a written project
(100 points) and give a corresponding oral presentation (50 points).
If you have a disability that may require assistance or accomodation,
or you have questions related to accomodations for testing, note-takers,
readers, etc., please contact me as soon as possible. You may also contact
the Office of Disabled Student Services (898-2783) with questions about such
To retain Tennessee Education Lottery Scholarship eligibility, you
must earn a cumulative TELS GPA of 2.75 after 24 attempted hours and a cumulative
TELS GPA of 3.0 thereafter. A grade of C, D, F, or I in this class may negatively
impact TELS eligibility. Dropping a class after 14 days may also impact
eligibility; if you withdraw from this class and it results in an enrollment
status of less than full time, you may lose eligibility for your lottery
||August 25: First day of class.
September 1: Labor day Holiday
September 7: Last day to drop with a class without a grade.
October 11 - 14: Fall Break
October 12: Last day to drop with a 'W'. No 'W' will be granted
after this date.
Final Exam:Monday, December 8, 12:30 - 2:30.