Course Objectives: to introduce students to the basic techniques used to solve the simplest classes of partial differential equations which appear in many engineering problems.
Syllabus: Topics in partial differential equations of interest to mechanical, material and ceramic engineering, including the wave equation, the heat diffusion equation and Laplace equation, in various co-ordinate systems.
Instructor:
Dr. Dmitry Pelinovsky, HH-422, ext.23424,
e-mail: dmpeli@math.mcmaster.ca
Office hours: Tuesday, Friday (12:30-13:30), or by appointment
Teaching Assistant:
Alexander Chernyavsky, HH-303, ext. 27246, e-mail: chernya@math.mcmaster.ca
Office hours: Wednesday (16:30-17:30), or by appointment.
Hours:
Lectures: Tuesday, Thursday, and Friday (11:30-12:20); HH-302
Tutorials: Thursday (10:30-11:20); HH-109
Textbook:
"Applied Partial Differential Equations with Fourier series and Boundary Value Problems"
by R. Haberman, Fifth edition (Pearson Education, 2013), ISBN-13: 9780321797056.
Assignments: Five home assignments will be posted on the course webpage and best four results will contribute to the final mark. Assignments are to be handed in before 17:30 on the due date in the appropriate box in the basement of Hamilton Hall. Assignments deposited after 12:30 pm into the drop box will not be collected or marked. You may discuss problems of the assignments with each other, but we expect you to write up the answers by yourself. You may not copy another student's solution.
Class Tests: There will be two class tests scheduled tentatively for Friday October 6 and Friday November 10. Only the McMaster standard calculator Casio fx-991 is allowed on the tests. You must bring your student ID to the test room. In the event of missed test by a valid reason (see below), the persentage of the final exam in the final mark is increased by the persentage of the missed test.
Final Exam: The course is completed by a final examination. The date, duration, and location of the final exam will be announced by the registrar's office before the end of term.
Marking schemes:
| Workload | Primary scheme | Alternative scheme |
|---|---|---|
| Homework assignments (best four) | 10% | 10% |
| class tests (two) | 40% | 0% |
| Final exam | 50% | 90% |
Important message: The instructor and University reserve the right to modify elements of the course during the term. The University may change the dates and deadlines for any or all courses in extreme circumstances. If either type of modification becomes necessary, reasonable notice and communication with the students will be given with explanation and the opportunity to comment on the changes. It is the responsibility of all students to check their McMaster email accounts and course webpages weekly during the term and to note any changes.
Academic Dishonesty: Your attention is drawn to the documents "Senate Statement on Academic Ethics" and "Senate Resolutions on Academic Dishonesty" which you have received during registration and which can be obtained from the Senate Office. Infringements on the rules and principles in these documents will be dealt with in the manner stated therein.
Academic dishonesty is to knowingly act or fail to act in a way that results or could result in unearned academic credit or advantage. This behaviour can result in serious consequences, e.g., the grade of zero on an assignment, loss of credit with a notation on the transcript (notation reads: "Grade of F assigned for academic dishonesty"), and/or suspension or expulsion from the university.
It is your responsibility to understand what constitutes academic dishonesty. For official
information on what constitutes academic dishonesty please refer to the written copy of the
document Academic Integrity Policy.
The following illustrates only three forms of academic dishonesty:
(i) Plagiarism, e.g., the submission of work that is not one's own or for which other credit has been obtained.
(ii) Improper collaboration in group work.
(iii) Copying or using unauthorized aids in tests and examinations.
Requests for Relief for Missed Academic Term Work: Occasionally, students have to miss classes, assignments, or tests because of medical or personal non-medical reasons. Students should review and follow the Academic Regulations in the Undergraduate Calendar with respect to McMaster student absence form (MSAF)
Requests for Relief for Missed Academic Term Work or for absences from classes lasting up to 3 days due to minor medical or personal reasons: Using the McMaster Student Absence Form (MSAF) on-line, self-reporting tool, undergraduate students may report absences lasting up to 3 days and may also request relief for missed academic work. The submission of supporting documentation is not required. Students may use this tool to submit a maximum of one request for relief of missed academic work per term. Students must immediately follow up with their course instructors regarding the nature of the relief. Failure to do so may negate the opportunity for relief. It is the prerogative of the instructor of the course to determine the appropriate relief for missed term work in his/her course.
For medical or personal situations lasting more than three calendar days, and/or for missed academic work worth 25% or more of the final grade, and/or for any request for relief in a term where the MSAF has been used previously in that term: Students must report to their Faculty Office to discuss their situation and will be required to provide appropriate supporting documentation. If warranted, the Faculty Office will approve the absence, and the instructor will determine the appropriate relief.