Math. 412, Sec. 200 (Honors) Fall, 2006Partial Differential EquationsClasses: MWF 10:20–11:10, EP 212Web page: http://calclab.math.tamu.edu/~fulling/m412/f06Instructor: S. A. FullingBlocker 620H845–[email protected] I am not in my office, you can leavea note in my mailbox (in Blocker 603)or in the plastic pouch beside my officedoor.Tentative office hours: M 2:00–3:00, W 1:00–2:00, R 3:00-3:45Permanent office hours will be announced later.Prerequisite: M. 308 or equivalent (differential equations). (M. 311 or other linearalgebra will help, but is not required.)Required textbooks:1. R. Haberman, Elementary Applied Partial Differential Equations with Fourier Seriesand Boundary Value Problems, 4th edition, Prentice–Hall, 2004.2. S. A. Fulling, Math 412 lecture notes, for sale at Copy Corner (2307 Texas Ave. S.).Supplementary textbooks (not required)There are many other textbooks on Fourier methods and PDEs. Here are two with astrong problem-solving orientation (i.e., many worked examples):3. C. Constanda, Solution Techniques for Elementary Partial Differential Equations,Chapman & Hall/CRC, 2002 (used in Math. 401).4. M. R. Spiegel (Schaum’s Outline Series), Fourier Analysis.And at the theoretical end, the most readable proofs of the theorems are in:5. G. P. Tolstov, Fourier Series,Dover.Grading system: Hour tests: 100 × 3 = 300Final exam: 200Homework and class participation: 200Total 700The “curve” will be at least as generous as the “standard” scale [i.e., 90% (= 630 pts) willguarantee an A, etc.].Dates of hour tests: Fridays, Sept. 22, Oct. 20, Nov. 17.Final exam: Tuesday, Dec. 12, 8–10 a.m.Please bring your own paper for tests.Class participation: We will sometimes discuss homework problems and other examplesat the blackboard (or projector) in class. Sometimes I’ll assign problems for you to workon in class in groups. At other times volunteers and random draftees will simply be calledon. (You may also be called to the board to help me introduce a new concept or technique“Socratically”. In such cases a good participation score is attained merely by being alertand cooperative.) Attendance records may influence class participation scores slightly.Page 2Make-up tests: Make-up tests are very hard to grade fairly, and they absorb a largeamount of my time which would be better spent for the benefit of the whole class. Pleasecooperate in making these incidents as rare as possible. If you miss (or foresee that you willmiss) a test, it is your responsibility to contact me as soon as possible to request, justify,and schedule a make-up test. (If you can’t reach me directly, you can leave a message atthe Math Department office, (979) 845–3261.) If the absence is not clearly excused underthe Attendance section of Student Rules, the request may be denied.An Aggie does not lie, cheat, or steal or tolerate those who do. See Honor CouncilRules and Procedures, http://www.tamu.edu/aggiehonor .Plagiarism: Finding information in books or on the Internet is praiseworthy; lying (evenby silence) about where it came from is academic dishonesty. Whenever you copy from, or“find the answer” in, some other source, give a footnote or reference. Otherwise, you arecertifying that it is your own work.Joint work: On a homework assignment (not a take-home test!) discussion with otherstudents is permitted, even encouraged. However, the grader will not give homeworkcredit for “work” that is parasitical (and your test scores will suffer, too!). To forestallproblems, please follow these policies: (1) When two or more students work together onan assignment, they should all indicate so on their papers. (2) If the cooperation is ofthe divide-and-conquer variety, you are certifying that you have s tudied and understandevery problem solution on your paper. Mindless copying is dishonest and academicallyworthless.Calculators in exams: Calculators are to be used only to perform elementary operationssuch as addition, multiplication, and evaluation of simple functions such as square roots.Advanced facilities are prohibited, especially storing formulas in memory or executingprograms to carry out algorithms that are part of the subject matter of the course. (Again,when in doubt, give a “footnote” describing what you did.) Violations of this rule may leadto total prohibition of calculators in exams (probably at the insistence of other students).Copyright: Course materials (on paper or the Web) should be assumed to be copyrightedby the instructor who wrote them or by the University.Disabilities: The Americans with Disabilities Act (ADA) is a federal anti-discriminationstatute that provides comprehensive civil rights protection for persons with disabilities.Among other things, this legislation requires that all students with disabilities be guaran-teed a learning environment that provides for reasonable accommodation of their disabili-ties. If you believe you have a disability requiring an accommodation, please contact theDepartment of Student Life, Services for Students with Disabilities, in Room 126 of theKoldus Building or call 845–1637.Educational philosophy: Traditional homework assignments do little to develop theskills of communication, collaboration, and conceptual thinking that are expected of amodern college graduate in a technical field. The procedures in this class are designed tofacilitate deeper learning. In part, this class is intended as a prototype of a “W course” (anaddition to the Core Curriculum in which students get extra academic credit for writingexperience). Lectures and routine homework assignments will be deemphasized. Instead,Page 3class participation, careful and focused writing, constructive criticism of others’ writing,and cooperative study will be encouraged. These activities are hard to grade by precisecriteria; we will all be happier if you avoid a fixation on “points” and rest assured that theclass participation and written work grades will be generous overall. It is vital that youread the relevant sections of the textbooks and notes BEFORE coming to class,since the classes will often be used for discussion, not lecture presentation.We will be using the Internet and the World Wide Web for communications. Therefore,you will be provided with an account on the math department’s calclab computer system(without paying an extra lab fee). Occasionally we may meet in one of the CalcLabclassrooms for either mathematical demonstrations or