2009 Spring Course Syllabus - Mathematics 8142.001

Spring 2009 Course Syllabus

Course: 8142.001.
Course Title: Partial Differential Equations.
Time: Tu and Th 2:40-4:00PM.
Place: Wachman 447.
Instructor: Gutierrez, Cristian E.
Instructor Office: Wachman 432.
Instructor Email: cristian.gutierrez@temple.edu
Instructor Phone: 1-7284.
Course Web Page: http://www.math.temple.edu/~gutierre/math562/562syllabus.html
Office Hours: Tu & Th 4-5PM or by appointment.
Prerequisites: Basic knowledge of real variables and Lebesgue integration and Math 8141.
Textbook: Partial Differential Equations, by L. C. Evans, Graduate Texts in Mathematics vol. 19, American Mathematical Society, 1998, ISBN: 0-8218-0772-2.Elliptic Partial Differential Equations of Second Order, by D. Gilbarg and N. S. Trudinger, Springer, ISBN: 9783540411604.
Course Goals: To prepare students to do research in this area and use differential equations in the applications.
Topics Covered: This course is continuation of Math 8142 taught in the Fall 2008. Topics to be covered include: solution of first order pdes by the method of characteristics; general elliptic equations of second order, estimates of second order derivatives, Schauder estimates; Hilbert space methods to solve uniformly elliptic pdes.
Course Grading: It will be based on regular homework and take home exams.
Exam Dates: TBA.
Attendance Policy: Attendance to lectures is strongly suggested.

Any student who has a need for accommodation based on the impact of a disability should contact me privately to discuss the specific situation as soon as possible. Contact Disability Resources and Services at (215) 204-1280, 100 Ritter Annex, to coordinate reasonable accommodations for students with documented disabilities.

Freedom to teach and freedom to learn are inseparable facets of academic freedom. The University has adopted a policy on Student and Faculty Academic Rights and Responsibilities (Policy # 03.70.02) which can be accessed here.

Students will be charged for a course unless a withdrawal form is processed by a registration office of the University by the Drop/Add deadline date given below. For this semester, the crucial dates are as follows:

  • The first day of classes is Tuesday, January 20.
  • The last day to drop/add (tuition refund available) is Monday, February 2.
  • Spring recess is the week of Monday, March 9.
  • The last day to withdraw (no refund) is Monday, March 30.
  • The last day of classes is Monday, May 4.

During the first two weeks of the fall or spring semester or summer sessions, students may withdraw from a course with no record of the class appearing on the transcript. In weeks three through nine of the fall or spring semester, or during weeks three and four of summer sessions, the student may withdraw with the advisor's permission. The course will be recorded on the transcript with the instructor's notation of "W," indicating that the student withdrew. After week nine of the fall or spring semester, or week four of summer sessions, students may not withdraw from courses. No student may withdraw from more than five courses during the duration of his/her studies to earn a bachelor's degree. A student may not withdraw from the same course more than once. Students who miss the final exam and do not make alternative arrangements before the grades are turned in will be graded F.

The grade I (an "incomplete") is reserved for extreme circumstances. It is necessary to have completed almost all of the course with a passing average and to file an incomplete contract specifying what is left for you to do. To be eligible for an I grade you need a good reason and you should have missed not more than 25% of the first nine weeks of classes. If approved by the Mathematics Department chair and the CST Dean's office, the incomplete contract must include a default grade that will be used in case the I grade is not resolved within 12 months.

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