CALCULUS WITH ANALYTIC GEOMETRY II


MAC 2312, Sections 09 & 10, Fall 2002

(References #04708 and #04710 in Directory of Classes)

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 you to more advanced topics in the calculus and to some of their applications. The material in this course should be mastered before you proceed to any courses for which it is a prerequisite. In any event, the calculus is among the most broadly applicable mathematics in existence
Course page:http://www.math.fsu.edu/~mm-g/CalcII.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:

Section 09: in 107 LOV, Mondays 05:15-06:05, Tuesdays and Thursdays 05:15-06:30
Section 10: in 107 LOV, Mondays 06:45-07:35, Tuesdays and Thursdays 06:45-08:00
Text:Hughes-Hallett et al, Calculus, 3rd edition (Wiley, 2002), Chapters 7-11
Credit:4 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 MAC 2312 is a (stated or implied) prerequisite. If you have more than four hours of prior credit in college calculus, you must reduce the credit for MAC 2312 accordingly
Prerequisites:
(i) C- or better in MAC 2311 (Calculus with Analytic Geometry I) or MAC 2483 (Biocalculus) at FSU, or an AMP calculus score of 17 or higher, or an AP score of 3 or higher, or appropriate exam or transfer credit; 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 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. 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 the text and a set of exercises will be assigned for the following period. In class, it will always be assumed that you have both read (not necessarily understood) this material and at least attempted (not necessarily completed) the exercises. A typical class will consist of a short lecture on key points followed by much problem solving. Questions may be asked at any time (and should be, if there's anything you don't understand). On a typical Tuesday or Thursday, the last 15 minutes or so will be devoted exclusively to problem solving by you
Test Format: 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). Needless to say, your name must appear legibly on Page 1
Grades: Will be based on four classroom tests (15% each) and a cumulative final examination (40%). 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 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
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.
    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, September 17
Tuesday, October 08
Tuesday, October 29
Thursday, November 21
Certain final date: Section 09:  Wednesday, December 11, 05:30-07:30
Section 10:  Wednesday, December 11, 08:00-10:00
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. 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 II: 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.

Supplementary Materials

Occasional miscellaneous notes will be posted here in PDF format (and highlighted as for a period of two or three days). If Acrobat Reader 5.0 isn't already installed on your computer, you can download it from here. (If you find that the page is upside down on your screen, select Rotate Clockwise twice from the View menu.)
  Review Problem
  Integration by Substitution
  Solutions to Problems 2-5 at end of Notes on Integration by Substitution: Page 1 Page 2
  For an alternative approach to integration by substitution (in the context of implied distributions), I recommend Lecture 21 of my Biocalculus course
  Some Notes on Integration by Parts
  Some Trigonometric Formulae for Integration
  My solutions to end-of-class problems for Tuesday, September 3 (p. 316, ## 28, 30, 32, 34, 36): Page 1 Page 2
A Sample of Your Solutions: Common error (# 28) Missed a trick (# 28) Common error (# 32) Bad error (# 34) Terrible mistake (# 36)
Key to annotations
  Some Notes on Numerical Integration
  Some Notes on Improper Integrals
  My solutions to end-of-class problems for Tuesday, September 10 (p. 339, ## 12, 14, 16, 18, 20): Page 1
Other Solutions: Page 337, #8 Page 337, #20
  Why Integration by Substitution Requires Care
  Some Notes on Calculating Areas and Volumes
  Upper and Lower Bounds on Volumes of Revolution
  My solutions to weekend problems for Monday, September 30 (p. 358, # 21; p. 366, # 4; p. 368, # 21; p. 376, # 7): Page 1 Page 2 Page 3
A Sample of Your Solutions: Obviously wrong (# p. 358, # 22) Wrong region (p. 358, # 22) Wrong sign (p. 376, # 7)
  On the Work Done in Raising a Distributed Mass (recycled: "second test" refers to Fall 2000)
  Some Notes on Series
  Why Does the Ratio Test Work?
  An Illustration of the Concept of Radius of Convergence
  My solutions to weekend problems for Monday, October 21 (p. 441, # 26; p. 445, ## 4, 10; p. 441, # 30): Page 1 Page 2
A Sample of Your Solutions: All on one page (# p. 445, ## 4, 10)
  Elasticity, Learning Theories & Differential Equations
  An Illustration of Solving ODEs by Power Series Expansion
  On Solving the Harmonic Equation with Damping
  Two Ways to Solve a Homogeneous Differential Equation
  Supplementary Problems on Homogeneous Differential Equations
  Some notes on #26 of Section 11.4 (p. 496) (recycled: "November 2" refers to Fall 2000)
  A center of mass calculation
  Another center of mass calculation (scroll down past blank space at top of file): Page 1 Page 2

Homework Helpline

You you can view and/or print PDF files with Acrobat Reader 5.
 
September 01, 2002 Question Answer
September 09, 2002 Page 333, #36
September 14, 2002 Question Answer: Page 1 Page 2 Page 3 Page 4
September 17, 2002 Question Answer: Page 1 Page 2
October 07, 2002 Page 376, #10
October 20, 2002 Question 1 Answer
Question 2 Answer
October 29, 2002 Question Answer
November 14, 2002 Page 496, #39 (formerly Page 509, #30)
November 17, 2002 Page 481, #11 Page 481, #13
November 19, 2002 Page 496, #19
November 21, 2002 Question Answer

Tests will usually be posted (a day or two later) in PDF format. If Acrobat Reader 5.0 isn't already installed on your computer, you can download it from here. Solutions may be posted either in GIF format or PDF format.

Solutions to Tests

First Test for Section 09 Solutions: Page1 Page2
First Test for Section 10 Solutions: Page1 Page2
Second Test for Section 09 Solutions: Just one page Alternative solution to #1(b)
Second Test for Section 10 Solutions: Just one page Alternative solution to #3
Third Test for Section 09 Solutions: Just one page
Third Test for Section 10 Solutions: Just one page
Fourth Test for Section 09 Solutions: Just one page
Fourth Test for Section 10 Solutions: Just one page
Compare true solution (solid) with fifth-order Taylor approximation (dashed)
Instructive example of the dangers of being sloppy about the use of symbols
Final for Section 09 Solutions: Page1 Page2 Page3
Final for Section 10 Solutions: Page1 Page2 Page3

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