PARTIAL DIFFERENTIAL EQUATIONS I |
Professor: | Dr M-G | ||||||
Office: | 202B Love | ||||||
Office hours: | Please click here. Office hours are subject to change during the semester at 24 hours notice, but current times are always posted online. Note that office hours are for personal matters that cannot be addressed in class. They are not intended for tutorial help (for which proceed as described below under How to study) | ||||||
Phone: | (850 64) 42580 | ||||||
Email: | mmestert@mailer.fsu.edu | ||||||
Web site: | http://www.math.fsu.edu/~mesterto | ||||||
Goal: | The purpose of this course is to introduce partial differential equations and some of their applications | ||||||
Course page: | http://www.math.fsu.edu/~mesterto/PDEI.html (this pagebut obviously, if you are reading a hard copy of it, then you won't be able to activate the links until you go online) | ||||||
Class meets: | In 201 LOV, Tuesdays and Thursdays 11:00 a.m.12:15
p.m., |
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Text: | Richard Haberman, Applied Partial Differential Equations with Fourier Series and Boundary Value Problems, 4th edition (Pearson/Prentice Hall, 2004). Selected topics from Chapters 1-5 and 8 | ||||||
Credit: | 3 semester hours | ||||||
Eligibility: | Is your responsibility. You must have the prerequisites listed below, and must never have completed with a grade of C- or better a course for which MAP 4341 is a (stated or implied) prerequisite | ||||||
Prerequisites: |
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Communication: | It is your responsibility to register here for a (free) FSU computer account so that I can send you email, which you are expected to check regularly. If you prefer to read your email elsewhere then you can arrange to have messages forwarded, but you must still obtain an FSU account in the first instance | ||||||
Your name: |
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Course Format: | We will follow the text, spending most of our time in class on
solving problems. At the end of each period I will set homework for the
following period (if not immediately in class, then soon afterwards by
email). Typically, this homework will consist of a set of problems on
the topic we have just studied together with a passage of text to be
read for the following period; for example, your homework for
Thursday, August 28 is to do Exercise 1.2.1 on Page 10 and read
Sections 1.1-1.4 (Sections 1.1-1.2 being the topic for August
26the only period for which it may be impossible to read
aheadand Sections 1.3-1.4 being the topic for August 28). In
class, I will always assume that you have read (though not necessarily
understood) the assigned passage. A typical class will then proceed as follows. It will begin with an opportunity for you to ask questions about the homework problems. Depending on the time available, I will answer each question either in class or (especially if an unstarred problem is involved) by posting a solution online later, or by some combination of the two. We will then move on to the topic of the current period. I will give a brief lecture summarizing the key points of the passage you have read for homeworkenough to get us going, but deliberately excluding detailsbefore proceeding as quickly as possible to solving problems (in which the details will emerge), with as much interaction as possible from you. Questions may be asked at any timeand should be, if there's anything you don't understand. (Perhaps you have a question about the assigned passage that you anticipate being answered by one or more of the problems we work together; in which case, it may well be socially minded not to ask your question at the outset. However, if it turns out that you anticipated incorrectly, then be sure to ask your question before the class is over!) |
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Test Format: | Begin each question (but not subsequent parts of the same question) on a fresh sheet of paper, use one side of the paper only, and have your solutions stapled together in order at the end of the examination (do NOT use dog ears). (Not owning a stapler is no excuse: I will bring a stapler to the final, and for the tests you can borrow the stapler in 208 Love.) Needless to say, in either case, your name must appear legibly on the first page | ||||||
Grades: | Will be based on three take-home tests (24% each) and a cumulative
final examination (28%). Each test will begin at the end of
class on a Tuesday (see below) and end at the beginning of class
on the Thursday immediately following. Note that quality of presentation is extremely important. It is not enough merely to produce an answer: the method by which you obtain it must be sound, and you must clearly demonstrate that you understand it. Therefore, there will be penalties (commensurate with degree of infraction) for bad presentationwhich includes bad grammar, illegibility, incompleteness, incoherence and untidinessespecially on the tests. Even on the final, however, you must show all necessary steps in your method, with enough comments and/or diagrams to convince me that you thoroughly understand. Precise cut-off points for A, B and C will be determined by the distribution of grades at the end of the semester, but are likely be in the vicinity of 90%, 80% and 70%, respectively. In borderline cases, later scores will carry more weight than earlier scores; a smaller number of completely correct solutions will carry more weight than a proportionate number of fragmentary answers; and a record of active participation in class will carry more weight than a record of passive attendance (in that order of relative importance among these three factors). Plus or minus grades may be assigned in a manner consistent with standard University practice. Please note that partial credit will be awarded only when part of a solution is completely correct (not when all of a solution is partially correct, whatever that means, if anything). Also, a grade of I will not be given to avoid a grade of F or to give additional study time. Failure to process a course drop will result in a course grade of F |
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Test solutions: | Will be posted online here (along with the test itself), making grading more efficient: instead of writing the same corrections on numerous manuscripts, I simply identify the point(s) at which a solution goes awry | ||||||
Exam policy: | No makeup exams. An absence may be excused given sufficient evidence of extenuating circumstances (in which case, extra weight will be attached to the other exams). But you must either have discussed the matter with me (well) in advance; or, in the case of illness, have brought me a note from a physician explicitly stating that you were too ill on the date(s) in question. An unexcused absence will result in a grade of zero | ||||||
Etiquette: | You are firmly bound by Florida State University's Academic Honor Code. Briefly, you have the
responsibility to uphold the highest standards of academic integrity in
your own work, to refuse to tolerate violations of academic integrity
in the University community, and to foster a high sense of integrity
and social responsibility on the part of the University community. Even
more briefly, you must neither cheat nor enable others to cheat. The
penalties for violations can be severe. Please carefully read the
section in the FSU Student Handbook on the Honor Code and official
procedures for dealing with students who violate it. If you are in any
doubt at all as to what constitutes acceptable behavior in this regard,
you should ask me for clarification. In particular, for a take-home test you may use any inanimate aid (including any calculator), but all such use must be explicitly declared. Although you may discuss the test with other students in general termsmeaning that discussion is oral, and absolutely nothing is copied downthe solutions you present must be your very own work; moreover, any such discussions must be explicitly declared (i.e., you must supply the name of every such discussant and the nature of the discussion, or else you are in violation of the Academic Honor Code). You are also bound by the ordinary rules and customs of polite behavior that prevail in a civilized society. I assume that you know these rules and customs, and I expect you to comply with them. (In particular, you are not allowed to use a cell phone or have private conversations with others during class.) |
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Probable test dates: | Tuesday, September 16 (due Thursday, September 18) Tuesday, October 21 (due Thursday, October 23) Tuesday, November 18 (due Thursday, November 20) |
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Final: | Wednesday, December 10th, 12:30 p.m.2:30 p.m. in 201 LOV | ||||||
How to study: | There is a lot of material to be covered in this course, so it is
important that you keep up from the very beginning, always attempting
as many as possible of the homework problems. I encourage you to form a
homework study group with others in the class. But meet only after each
of you individually has attempted at least some of the problems. Regardless, if you get stuck send me your question by email. Then as soon as I possibly can, which might be as soon as within half an hour, but might also be as late as a few days laterI have a life, too, you knowI will reply, not to you, but rather to the class alias (after carefully concealing your identity, just in case you are inexplicably bashful about being perceived as smart enough to ask a question). These replies will be archived here. Please note the following. First, you must identify yourself (i.e., you remain anonymous to the other students in the class, but not to me). Second, to ensure a relatively rapid response, your question must be self-contained: in particular, do not refer to the text (because I always leave it at the office, and you almost always ask your questions when I'm at home). Third, and most important of all, be as specific as possible in describing your difficulty: the more precisely you identify how you got stuck, the more helpful my reply is likely to be. By far and away the best way to be as specific as possible is to scan your attempt at the problem into your computer and send it to me by email; I then have the option of posting an annotated version of your solution (after, of course, removing any instances of your name), either alone or in conjunction with a solution of my own. |
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Disabilities: | If you have a disability requiring academic accommodations, then not only should you register with the Student Disability Resource Center (SDRC), but also you should bring me written confirmation from SDRC during the first week of class. This and other class materials are available in alternative format upon request. |
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First Test | Solutions: Page 1 2 3 4 5 6 Further comments |
Second Test | Solutions |
Third Test | Solutions |
Final | Solutions |
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