CALCULUS WITH ANALYTIC GEOMETRY III


MAC 2313, Section 04, Spring 2002

(Reference #04547 in Directory of Classes)

NOT the current semester!
Professor:Dr M-G
Office:202B Love
Office hours:Please click here. Office hours are subject to change during the semester, but current times are always posted online
Phone:(850 64)42580
Email:mmestert@mailer.fsu.edu
Web site:http://www.math.fsu.edu/~mm-g
Goal:The purpose of this course is to introduce multivariable calculus and some of its applications
Course page:http://www.math.fsu.edu/~mm-g/CalcIII.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)
Class meets:In 102 LOV, Mondays and Wednesdays 1:25 p.m.—2:15 p.m., Tuesdays and Thursdays 2:00 p.m.—3:15 p.m.
Text:Hughes-Hallett et al,  Calculus: Single and Multivariable,2nd edition (Wiley, 1998), Chapters 11-20
Credit:5 semester hours
Eligibility: Is yourresponsibility. You must have the prerequisites listed below, and must never have completed with a grade of C- or better a course for which MAC 2313 is a (stated or implied) prerequisite. Moreover, if you have more than eight hours of prior credit in college calculus, then you must reduce your credit for MAC 2313 accordingly
Prerequisites:
(i)C- or better in MAC 2312 (Calculus with Analytic Geometry II) or appropriate transfer credit (satisfactory completion of at least eight hours of calculus courses equivalent to MAC 2311 & MAC 2312);   and
(ii)self-motivation and industriousness. Dr M-G's philosophy of learning is perhaps best expressed by the following diagram:
 
For further details, please click here.
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: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. Please take a sheet of paper, fold it in half, write your first name in large letters on one side and stand it up on your desk so that I can see it. (Write whatever you want me to call you—if you're a William who likes to be called Dubya, write Dubya, not William.) Please bring your name plate 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: The course will be based on eighteen lectures (all available online) interspersed by much interactive problem solving (on which we'll spend most of our time). The text will serve primarily as a source of problems. After each period I will set homework for the following period (usually by email). In class, I will always assume that you have at least attempted (not necessarily completed) the homework problems. Questions may be asked at any time (and should be, if there's anything you don't understand)
Test Format:For a classroom test, begin each question on a fresh sheet of paper, use one side of the paper only, and staple your solutions together in order at the end of the examination (do NOT use dog ears). Similarly, for assignments. (Not owning a stapler is no excuse: for tests you can borrow mine, and for assignments you can borrow the one in 208 Love.) Needless to say, in either case, your name must appear legibly on Page 1
Grades:Will be based on three classroom tests (15% each), two written assignments (15% each) and a cumulative final examination (25%). 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 written assignments. 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). Within the range for any given letter grade, +/- grades will be determined not only by the relative distribution, but also by the same three factors as above (the ones that determine borderline decisions). It is therefore perfectly conceivable (if perhaps not especially likely) that, e.g., one of two students with a final average of 90% obtains a grade of A while the other obtains A-, or one of two students with a final average of 68% obtains a grade of C- while the other obtains D+. Also, 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)
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
Forgiveness policy:Although there are no makeup exams, if you have attended regularly, you can obtain a grade of C or C- by performing sufficiently well on the final examination alone. In this case, the determining factor is not your final score, but rather whether you are able to provide practically perfect solutions to a few special problems requiring mastery of all key topics on the course. Note that C and C- are the only grades that can be earned this way: it is impossible to obtain an A or a B by performance on the final alone
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.
    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.
Probable test dates:Tuesday, January 29
Tuesday, February 26
Tuesday, April 9
Assignments:It is likely that the two written assignments will be set during the first halves of February and March, respectively, and will be due within about 10 days. Needless to say, assignments must be turned in on time: the normal result of a late assignment will be a grade of zero
Final: Tuesday, April 23, 5:30 p.m.—7:30 p.m. in 102 LOV
How to study:There is a huge amount 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. If you get stuck, you may find that the Math Help Center can offer limited help (i.e., some, but not all, of the staffers can help with Calculus III: opening hours will be posted here as soon as they are known). Alternatively, send me your question by email. 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 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 questions). Usually, my email will just be a short message to the effect that a reply has been posted here
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.

Lecture Notes

You can view and/or print Mathematica notebooks with MathReader 4; you can view and/or print PDF files with Acrobat Reader 5; and Maple is available in all FSU computer labs.
 
  1. Cartesian coordinates in three dimensions (Mathematica)
  2. Surfaces as graphs. Contour maps (Mathematica)
  3. Functions of three variables (PDF) Figures: 3A 3B 3C (Mathematica)
  4. Vectors (PDF) Figures: 4A (Mathematica)
  5. The dot product and cross product (PDF) Calculations (Maple)
  6. Partial derivatives (PDF) Calculations (Maple)
  7. The tangent plane and directional derivative (PDF) Calculations (Maple)
  8. The chain rule and the normal to a surface (PDF)
  9. Local extrema and saddle points (PDF) Calculations (Maple) _ _
  10. Constrained optimization (PDF)
  11. Double integrals (PDF)
  12. Area and volume as multiple integrals (PDF)
  13. Integrating with respect to natural coordinates (PDF)
  14. Line integrals (PDF)
  15. Curl: a measure of rotationality (PDF)
  16. Surface integrals (PDF)
  17. The divergence theorem (PDF)
  18. Stokes' theorem (PDF)

Supplementary Homework Problems and Solutions

Typically posted in PDF format.
(If Acrobat Reader 5.0 isn't already installed on your computer, you can download it from
here.)
  1. Tuesday, January 08 (PDF) Solution (PDF)
  2. Monday, February 11 (PDF, Supplementary optimization problems) Solution to Number 5 (PDF): Page 1
  3. Monday, March 18 (PDF, Supplementary triple integration problems problems) Solutions (PDF): Page 1 2 3 4
  4. Tuesday, April 16 (PDF) Solution (PDF)

Homework Helpline

You can view and/or print Mathematica notebooks with MathReader 4; you can view and/or print PDF files with Acrobat Reader 5; and Maple is available in all FSU computer labs.
 

Solutions to Tests & Assignments

Typically posted in PDF format.
First Test Solutions: Page 1 2 3 Things you said (tell me why they are wrong): Page 1 2
First Assignment Solutions: Page 1 2 3 Remarks
Second Test Solutions
Second Assignment Solutions: Page 1 2 3 Remark
Third Test Solutions: Page 1 2
Final Solutions: Page 1 2 3

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