APPLIED LINEAR ALGEBRA I


MAS 3105, Section 03, Fall 2008

(Reference #05869 in Directory of Classes)

Course page: ON CAMPUS: http://www.math.fsu.edu/~mesterto/ALAI.html (this page—but obviously, if you are reading a hard copy of it, then you won't be able to activate the links until you go online)
OFF CAMPUS: http://www.math.fsu.edu.proxy.lib.fsu.edu/~mesterto/ALAI.html (with your FSUID username and password)
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 primarily for personal matters that cannot be addressed in class (as opposed to tutorial help, for which see under Course format and How to study below)
Phone:(850 64) 42580
Main website: Professor M-G's Home Page    Email:
Goal:The purpose of this course is to introduce the elements of linear algebra and its applications from both a theoretical and a computational perspective by reading and understanding the text
Class meets: In 201 LOV, Mondays 2:30—3:20 p.m., Tuesdays and Thursdays 2:00—3:15 p.m.
Text:Lay,  Linear Algebra and Its Applications, 3rd edition (Addison-Wesley, 2005, ISBN 0-321-28713-4), selected topics from chapters 1-2 and 4-7
Credit:4 semester hours
Prerequisites:
(i) C- or better in MAC 2312 (Calculus with Analytic Geometry II) or equivalent;   and
(ii) self-motivation and industriousness. Dr M-G's philosophy of learning is perhaps best expressed by the following diagram:
 
ALTERNATIVE THEORIES OF LEARNING VERSUS PAIN
For further details, please click here.
Communication:It is your responsibility to register for an 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:
      I don't know who you are, but because everything works so much better when I do, I would like to learn your name as soon as possible. So, please take a sheet of card stock (or even paper), fold it in half, write your name in large letters on one side and stand it up on your desk so that I can see it. (Write what you want me to call you: if you're a William who likes to be called Dubya or a Margaret Jane who likes to be called Dee Dee, write Dubya or Dee Dee, not William or Margaret Jane.) Please bring your nameplate to every class until I have finally learnt your name (which will take significantly longer than it used to take when I started out)
Course format: Each period, one or two sections of text and related exercises will be assigned for the following period. In class, it will always be assumed that you have both read this material and at least attempted (not necessarily completed) the exercises. Typically, a few minutes will be spent on recalling key results and placing them in perspective, a few minutes on resolving any difficulties that arise from the text itself, and the rest of the time (which is most of it) on solving problems interactively to facilitate comprehension of the material. Questions may be asked at any time—and should be, if there's anything you don't understand. (Perhaps you have a question about the assigned reading 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!).
    On Tuesdays and Thursdays we will attempt to end the formal class period after 50-55 minutes so that the last 20-25 minutes can be devoted to individual tutorial help
First homework: Please read both A Note to Students (pp. xxxv-xxxvi) and Section 1.1, Systems of Linear Equations (pp. 2-10) before our first meeting at 2:30 p.m. on Monday, August 25. On that day I will assume that you both have read the assigned passage and are prepared to ask about anything you didn't understand, because all I will do in class—before moving on to solving problems—is to summarize key points to jog your memory. Be sure to attempt the practice problems on p. 10 and—as A Note to Students cautions—don't even dream of peeking at the solutions until you have made a serious attempt to solve the problems all by yourself!
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. (Please do not use dog ears. Not owning a stapler is no excuse: I will bring a stapler to every classroom test, and for the take-home test you can borrow the stapler in 208 Love.) Needless to say, in either case, your name must appear on Page 1
Calculator policy: You are allowed to use a Texas Instruments TI30XA Scientific Calculator or a four-function calculator for classroom tests. The use of any other calculator for a classroom test is strictly forbidden
Grades:Will be based on three classroom tests (15%, 15% and 20%), a take-home test (20%) and a cumulative final examination (30%). 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 presentation—which includes bad grammar, illegibility, incompleteness, incoherence and untidiness—especially on the take-home test. Even on a classroom test, 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, a smaller number of completely correct solutions will carry more weight than a proportionate number of fragmentary answers; later test scores will carry more weight than earlier test scores; 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
Test solutions: Will always be posted online (along with the test itself). There are two advantages. First, online solutions make grading far more efficient: instead of writing the same corrections on numerous manuscripts, I simply identify the point(s) at which a solution goes awry. Second, the online tests and solutions together form a test bank for use by students in future years (all accessible to you from the top of this page). I caution you, however: never read my solution to a problem until first of all you have seriously attempted the problem yourself. If you have at least made a serious (and I do mean serious) attempt, then—even if you were unable to complete the problem yourself—you will benefit from reading my solution to it; if not, then not (rather, you will merely form a false impression of how well you understand ... as indicated by the above learning-versus-pain diagram)
Attendance policy:You are expected to attend class regularly, and bear the full responsibility for learning anything covered during any class that you miss
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 to attend class on the day 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 terms—meaning that discussion is oral, and absolutely nothing is copied down—the 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 otherwise have private conversations with others during class.)
Probable test dates: Tuesday, September 23
Tuesday, October 21
Tuesday, November 18—Tuesday, November 25
Thursday, December 4
Final: Monday, December 8, 7:30 a.m.—9:30 a.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 (or as necessary) of the homework problems. If you get stuck, then send me a question by email. As soon as I possibly can, which might be as soon as within half an hour, but might also be a day or two later (I have a life, too, you know), I 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). Note, however, the following. First, you must identify yourself (i.e., you remain anonymous to the other students in the class, but not to me) in the body of your message (because your username does not identify you to me): I don't reply to anonymous email. Second, you should 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.
    You may also find these resources useful.
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.

Solutions to Tests

First Test Solutions
Second Test Solutions
Third Test Solutions
Fourth Test Solutions
Final Solutions

Supplementary Materials

On determinants (October 6, 2008)
On the Gram-Schmidt process (October 28, 2008)
On QR decomposition (October 30, 2008)
On least-squares approximation (November 3, 2008)
On optimization and symmetric matrices (November 13, 2008)
On vectors and matrices with complex numbers (November 17, 2008)
Mock fourth test (December 2, 2008)Solutions

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