Spring 2015 Course Syllabus - Mathematics 4041.001
Course: Mathematics 4041.001.
Course Title: Partial Differential Equations.
Time: MWF, 1:00 PM - 1:50 PM.
Place: Barton Hall Rm 203.
Instructor: Sivek, Jeromy.
Instructor Office: Wachman Hall Rm 1042.
Instructor Email: sivek@temple.edu
Instructor Phone: (215) 204-7841.
Office Hours: MWF 2:15-4:15.
Prerequisites: Math 2101 (0147) or Math 2103 (0148) or Math 3051 and Math 3041 or Math 3045 with grades of C- or higher or transfer credit for these courses.
Textbook: Richard Haberman, "Elementary applied partial differential equations". We will use the most recent edition (5th edition). If you have an older edition, you will be able to get by. The exams and homework will be based on material from the text and from the lectures, therefore good note-taking is expected.
Course Goals: You will learn the derivations of the classical partial differential equations of mathematical physics. You will understand the initial and boundary value problems that you can pose for these equations and be able to solve them in special cases. You will also understand how to use some advanced calculus ideas to solve PDEs. These will include Hilbert Spaces, Fourier Series, and distributional (weak) derivatives (time permitting).
Topics Covered: Our focus in the first half will be the basic methods of PDEs. Our main examples during this phase will be the classical partial differential equations of mathematical physics (the heat equation, Laplaces equation, the wave equation and Schroedingers equation). We will work through initial and boundary value problems. During the second half of the course we will work with advanced techniques (Fourier Series among them) to build solutions to other PDEs.
Course Grading: 50% of the grade will be based on two take-home exams. The remaining 50% will be based on weekly homework problems.
Exam Dates: The take-home exams will be announced in class.
Attendance Policy: Attendance is required. Missing six or more lectures (without a valid excuse involving a university sponsored event, documented illness, etc.) will automatically result in an F.
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.
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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.