Fall 2007 Course Syllabus
Course: 9410.001.
Course Title: Topics in Functional Analysis.
Time: T-Th 2:40-4:00 pm.
Place: CC 527.
Instructor: Mendoza, Gerardo A.
Instructor Office: Wachman Hall 538.
Instructor Email: gerardo.mendoza@temple.edu
Instructor Phone: 1-5053.
Office Hours: Monday 11:00am-12:00pm, Wednesday 11:00am-12:00pm.
Prerequisites: Real Analysis, Complex Analysis.
Textbook: The Atiyah-Patodi-Singer Index Theorem, by Richard B. Melrose, and notes from instructor.
Course Goals: By the end of the semester, the student will know the basic theory of elliptic operators on manifolds, including Hodge theory on closed manifolds.
Topics Covered: The first semester of this year-long course in Topics in Functional Analysis will be devoted to the general theory of pseudodifferential operators. The course will include an introduction to distribution theory and Sobolev spaces, singularities of distributions (wave-front set), and lagrangian distributions. Among the applications of pseudodifferential operators we will discuss boundary value problems, and local and microlocal solvability.
Course Grading: Homework and expositions: 100%.
Exam Dates: There will be no exams.
Attendance Policy: Attendance is required. Missing four classes without serious justification will result in F as final grade.
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:
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.