2017 Spring Course Syllabus - Mathematics 8142.002

2017 Spring Course Syllabus - Mathematics 8142.002

Course: Mathematics 8142.002.

Course Title: Partial Differential Equations II.

Time: Tuesdays and Thursdays 9:30am-10:50am.

Place: Wachman 617.

Instructor: Cristian Gutierrez.

Instructor Office: Wachman 1022.

Instructor Email: cristian.gutierrez@temple.edu

Instructor Phone: 215-204-7842.

Office Hours: By appointment.

Prerequisites: Real Analysis, Lebesgue integration.

Textbook: Partial Differential Equations by L. C. Evans, ISBN: 978-0-8218-0772-9. This is a gradebook course, notes and assignments will be posted regularly there.

Course Goals: Introduce fundamental concepts and results in the theory of elliptic, parabolic and hyperbolic differential equations. Problem solving to prepare students to take the pde section of the comprehensive exams.

Topics Covered: This class is continuation of PDEs I (Fall 2016). The following topics will be covered: 1. Additional results and exercises on Laplace's and Poisson's equations; 2. Solution to the Maxwell system; 3. Sobolev spaces and applications to the solution of elliptic boundary value problems; 4. Fourier transforms, distributions and applications.

Course Grading: The grading will be based on regular homework, one midterm, and a final exam.

Exam Dates: TBA.

Attendance Policy: Attendance to the lectures is recommended.

Teaching assistant: Farhan Abedin, email: tuf28546@temple.edu.

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 dropped by the Drop/Add deadline date. Check the University calendar for exact dates.

During the first two weeks of the fall or spring semester, 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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