2006 Spring Course Syllabus - Mathematics 0574.001

Spring 2006 Course Syllabus

Course: 0574.001.
Course Title: Continuum Mechanics.
Time: Tue, Th 11:40-1:00.
Place: WH 617.
Instructor: Grabovsky, Yury.
Instructor Office: WH 516.
Instructor Email: yury.grabovsky@temple.edu
Instructor Phone: 204-1650.
Office Hours: By appointment.
Prerequisites: A graduate course in analysis, linear algebra, PDE and functional analysis.
Textbook: No text.
Course Goals: To review the foundations of non-linear elasticity. To understand the nature of various modes of instability and to model metastability and hysteresis in martensitic phase transformations. We will also discuss the vectorial version of calculus of variations.
Topics Covered: his is a classical subject that has recently received a lot of interest in the research community because of its relevance to phase transformations in shape memory alloys. In spite of its age, there are still many fundamental unaswered questions and new progress is being made at this very moment by applying the newly developed mathematical tools. The second semester will focus on the variational principles governing solid bodies at the thermodynamic equilibrium. The topics include 1. Constitutive inequalities and convexity 2. Rods and plates as three-dimensional bodies (recent breakthrough) 3. Multiple integrals in calculus of variations (recent breakthrough).
Course Grading: Class participation 100%.
Exam Dates: No exams.
Attendance Policy: Students are required to attend all lectures.

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.

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