Math 485/585 - Spring 2003
Dr. Joceline Lega
- Office: Mathematics 511
- Phone: 621-4350
- M LNG 202
- Tuesdays and Thursdays, 11:00 am - 12:15
- Office Hours:
Tuesdays, 2-3 pm & 4-6 pm.
Mathematical Models: Mechanical Vibrations, Population Dynamics, and
Traffic Flow, by Richard Haberman, published by SIAM.
- Course contents:
- Nature of mathematical modeling
- Mecanical vibrations
- Population dynamics
- Reaction-diffusion equations
- Traffic flow
- Dimensional analysis
- Phase plane analysis
- Solutions of systems of differential equations
- Simple solutions of partial differential equations
- Method of characteristics
Students are expected to attend every scheduled class,
and to be familiar with the
University Class Attendance policy as it appears in the General Catalog. It is the student's
responsibility to keep informed of any announcements, syllabus adjustments
or policy changes made during scheduled classes.
Students will work in teams on a long-term project, worth 300 points.
Each team will give oral progress reports on its project throughout
the semester, and will turn in a final written report, due May 6th
2003 (the last day this course meets). The written part of the project will be worth 200 points
and the oral presentations will count for a total of 100 points.
Math 485 modeling projects should be on one
of the topics listed below. The articles or web sites listed as references
must make the basis of each project.
- Modeling walking and locomotion
- Modeling vegetation patterns
- Predator-prey models
- Modeling excitable systems
- Modeling diseases and epidemics
- Modeling collective behaviors of living organisms
Math 585 modeling projects may either be
on one of the topics listed above or be based on the student's graduate
Homework problems will be assigned regularly. Quizzes based on the homework
assignment will be given on a regular basis and a final homework score
equivalent to 200 points, will be assigned. This score will be computed
from the 10 best quiz results of the semester.
Click here to see homework assignments
The total number of points available on the project and homework
is 500. Grades will be no lower than those set forth in the following
| 450 < points || 90% to 100% || A |
| 400 < points < 449 || 80% to 90% || B |
| 350 < points < 399 || 70% to 80% || C |
| 300 < points < 349 || 60% to 70% || D |
| points < 300 || 0% to 60% || E |
The grade of I will be awarded if all of the following conditions are
- The student has completed all but a small portion of the required
- The student has scored at least 50% on the work completed.
- The student has a valid reason for not completing the course on time.
- The student agrees to make up the material in a short period of time.
- The student asks for the incomplete before grades are due, 48
hours after the final exam.
For general information on grades and the grading system, see the
- Classroom Conduct:
Students at The University of Arizona are expected to conform to the standards
of conduct established in the
Student Code of Conduct. Prohibited conduct includes:
Students found to be in violation of the Code are subject to disciplinary
- All forms of student academic dishonesty, including cheating,
fabrication, facilitating academic dishonesty, and plagiarism.
- Interfering with University or University-sponsored activities, including
but not limited to classroom related activities, studying, teaching, research,
intellectual or creative endeavor, administration, service or the provision of
communication, computing or emergency services.
- Endangering, threatening, or causing physical harm to any member of the
University community or to oneself or causing reasonable apprehension of such
- Engaging in harassment or unlawful discriminatory activities on the basis
of age, ethnicity, gender, handicapping condition, national origin, race,
religion, sexual orientation, or veteran status, or violating University rules
governing harassment or discrimination.
- Academic Integrity:
Students are responsible to be informed of University policies regarding the
Academic Integrity. Students found to be in violation of the Code are
subject to sanctions that will be determined by the severity of the infraction.
The Code of Academic Integrity will be enforced in all areas of the
course, including tests and homework.
- Students Who Require Reasonable Accommodations Based on Disability:
Students planning to use accommodations for this course should privately
identify themselves to their instructor within the first few days of class.
These students must also provide the instructor with a letter of identification
from the Disability Resource Center. This letter should include information
about any accommodations you will need for the class, including accommodations
for test taking. Students are also invited to discuss specific issues with the
course instructor during regular office hours or by appointment.
- Withdrawal Dates:
- Last day to drop without a grade (use RSVP or WebReg): February 11, 2003.
- Withdrawal deadline (instructor's signature on a Change of Schedule form is
required): March 11, 2003.
- Interesting Web Sites:
- Meteorology and climatology
- Viscous fingering
- Dendritic growth
- Population dynamics
- Traffic flow
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