Texas A&M University, Summer 2014 SYLLABUS: MATH 602 METHODS AND APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS Instructor information Instructor: Dr. Sara Pollock snpolloc@math.tamu.edu Website: www.math.tamu.edu/∼snpolloc/math602 Office hours: posted on website Blocker 512A Class times and locations Monday, Tuesday, Wednesday, Thursday, Friday 10-11:35 a.m. Blocker 149 Textbook Applied Partial Differential Equations with Fourier Series and Boundary Value Problems, (fifth edition), Richard Haberman, ISBN: 9780321797056. Course description and prerequisites Description: Classification of linear partial differential equations of the second order; Fourier series, orthogonal functions, applications to partial differential equations; special functions, Sturm-Liouville theory, application to boundary value problems; introduction to Green’s functions; finite Fourier transforms. Prerequisites: MATH 601 or (MATH 308 and MATH 407). Restrictions: Must be enrolled in the Graduate level at the College Station campus, and may not be enrolled in the English Language Institute College. Learning outcomes and course objectives By the end of the course, students should be familiar with following topics: • The heat equation, • The wave equation, • Laplace’s equation and Poisson’s equation, • Separation of variables, • Fourier series, • The method of characteristics for first-order equations (nonlinear conservation laws), • Eigenvalue problems, • Higher dimensional PDEs. Date: July 7, 2014. 1 2 SYLLABUS: MATH 602 Grading policy Grades will be calculated according to the following percentages: Homework Average Midterm: Final exam: 50% 25% 25% Total: 100% 88-100% 75-87% 60-74% 45-59% <45% A B C D F Homework and Exams Problem sets will be assigned weekly and posted on the course website and due each Monday. Problems will be based on material covered in lecture. Exams: We will have an in-class midterm and a final exam. Exam problems will be based on homework problems and material covered in lecture. Exam dates will be posted on the class website. Class policies Attendance: It is in your best interest to attend lectures. Calculators: No calculators on exams. You may find it useful to use Wolfram alpha, mathematica, maple, matlab or some other symbolic or computational toolbox to help you visualize the material, but this is up to you. Cell phones: Please don’t use your cell phone during class. Phones and all electronic devices should be turned off during exams. Make-up/late work: Make-up work is allowed only when written evidence of an official University excused absence is provided (see section 7.1 of the student rules at http://studentrules.tamu.edu/rule7.htm). If a student is going to miss class, notification in writing (acknowledged email is acceptable) prior to the date of the absence is required. In cases where this is not feasible, the student must provide documentation by the end of the second working day after the absence. If these conditions are met, then the percentage grade earned on the final exam will be substituted for a missed exam. This option is available only once. No make-up quizzes and activities will be given as the two lowest grades of each will be dropped. Americans with Disabilities Act (ADA) Policy Statement The Americans with Disabilities Act (ADA) is a federal anti-discrimination statute that provides comprehensive civil rights protection for persons with disabilities. Among other things, this legislation requires that all students with disabilities be guaranteed a learning environment that pro- vides for reasonable accommodation of their disabilities. If you believe you have a disability requiring an accommodation, please contact the Department of Student Life, Services for Students with Disabilities, in Room B118 of the Cain Hall or call 845-1637. SYLLABUS: MATH 602 3 Academic Integrity Statement and Policy Scholastic dishonesty will not be tolerated!! Aggie Honor Code: An Aggie does not lie, cheat, or steal or tolerate those who do. Upon accepting admission to Texas A&M University, a student immediately assumes a commitment to uphold the Honor Code, to accept responsibility for learning, and to follow the philosophy and rules of the Honor System. Students will be required to state their commitment on examinations, research papers, and other academic work. Ignorance of the rules does not exclude any member of the TAMU community from the requirements or the processes of the Honor System. For additional information please visit: http://www.tamu.edu/aggiehonor/. Additional resources Textbook: The textbook includes a lot of solved examples, use this if it is useful. Other material: Other reference material may be posted on the class eCampus website. E-mail address: snpolloc@math.tamu.edu Department of Mathematics, Texas A&M University, College Station, Texas 77843