MATH 4440

MATH 4440-01: Partial Differential Equations I — Spring 2008

Instructor: Victor E. Ginting
Office: Ross Hall 310
E-mail: vginting@uwyo.edu
Phone: (307) 766-4018
Lectures: MWF, 11:00AM-11:50AM, College of Business 105
Office Hours: MWF, 10:00AM-10:50AM and by appointment
Course Website: http://www.uwyo.edu/vginting/s08m4440

Prerequisite: grade of C or better in MATH 2210 (Calculus III) and MATH 2310 (Applied Differential Equations I).

Required Text: Jeffery M. Cooper, Introduction to Partial Differential Equations with MATLAB, 2000.

Course Description: This course gives an introduction to partial differential equations (PDEs) as found in many applications such as heat conduction, dispersion of concentrate over a medium, porous media flow, electromagnetic waves, vibrations, etc. To present the ideas, we shall investigate three classical forms of PDEs: diffusion equations, first order wave equations, and second order wave equations. In most cases, we shall consider one spatial dimensional problem which depends on time, hence dealing with an unknown (dependent variable) that are a function of two independent variables (space and time). We shall study one powerful method for solving initial boundary value problems, namely separation of variables. Laplace and Poisson Equations will also be considered, since these equations give a useful illustration on how to use separation of variables in multidimensional space.

Grading System, Homeworks, & Tests: Your grade will be based on two in-class midterm tests, homeworks, and a final exam.

I will give the midterm tests outside regular class meeting, most likely in the evening (7:00PM-9:00PM). Tentative schedule for the Test I is Wednesday, February 13, 2008, and for Test II is Thursday, March 27, 2008. According to the university schedule, the final exam will be held on Monday, May 05, 10:15AM-12:15PM.

The homework problems shall be weekly assigned, which are posted in the course website along with the due date (see information above). I expect the homeworks to be collected prior to lecture on the assigned due date. Discussion with other students when doing the homeworks is allowed, but the final writings should be done independently. Please write your answers neatly and if there are multiple pages, staple all of them together. No late homework will be graded.

The relative weights of the components are given below.

Test I Test II Final Exam Homeworks
20% 20% 30% 30%

Your letter grade is determined as follows.

A: above 90 B: above 80 C: above 70 D: above 60 F: below 60

Attendance & Participation: Class attendance and participation are strongly recommended. For some borderline cases, I will use contributions on these aspects to determine the final grade.

Make-up Exams: There will be NO make-up exams for unexcused absences. Make-ups for the exams will be given only in extraordinary cases. If you are unable to attend an exam, please provide me with a university excused absence. Any necessary arrangement will need to be confirmed prior to the absence.

Disability statement: If you have a physical, learning, or psychological disability and require accommodations, please let me know as soon as possible. You must register with, and provide documentation of your disability to, University Disability Support Services (UDSS) in SEO, room 330 Knight Hall.

Academic Honesty: The University of Wyoming is built upon a strong foundation of integrity, respect and trust. All members of the university community have a responsibility to be honest and the right to expect honesty from others. Any form of academic dishonesty is unacceptable to our community and will not be tolerated. Any suspected violations of standards of academic honesty should be reported to the instructor, department head, or dean. Other university regulations can be found at http://uwadmnweb.uwyo.edu/legal/universityregulations.htm.

The instructor may make changes to the syllabus as the course proceeds. If necessary, these changes will be announced in class.