CALCULUS WITH ANALYTIC GEOMETRY II


MAC 2312, Sections 05 & 06, Fall 2000

(References #03701 and #03702 in Directory of Classes)

NOT the current semester!
Goals: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 (e.g., I use it constantly in my research)
Instructor:Dr M-G
Office:202B Love (in which I hold office hours)
Phone:(850 64)4 2580
Email:mmestert@mailer.fsu.edu

Class meets:

Section 05: in 107 LOV, Tuesdays and Thursdays 12:30-1:45, Fridays 12:20-1:10
Section 06: in 102 LOV, Tuesdays and Thursdays 2:00-3:15, Fridays 1:25-2:15
Text:Hughes-Hallett et al, Calculus,2nd edition (Wiley, 1998), Chapters 7-10
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 appropriate transfer credit; and
(ii)self-motivation and industriousness. Dr M-G's philosophy of learning is perhaps best expressed by the following diagram:
 
For further details, click here.
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 (it will be like a quiz, perhaps, but it will not count towards your grade)
Grades:Will be based on three classroom tests (15% each), a written assignment or project (25-30%) and a cumulative final examination (25-30%). Note that presentation is 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. Furthermore, there will be penalties (commensurate with degree of infraction) for bad grammar, illegibility, incoherence, untidiness, etc.
    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. Partial credit is awarded only when part of a solution is completely correct (not when all of a solution is partially correct, whatever that means, if anything)
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)
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)
Probable test dates:Tuesday, September 19
Tuesday, October 24
Tuesday, November 28
Assignment:After grading the first test I will determine the nature of the assignment or project, which may be set in two parts. It is likely that at least the first part will be set towards the end of September, and that it will be due in the second week of October.
Final: Section 05:  Thursday, December 14, 3:00-5:00
Section 06:  Tuesday, December 12, 5:30-7:30
How to study:I recommend that you form a homework study group with others in the class. But meet only after each of you individually has attempted the homework. Make good use of the Math Help Center; that's what it's there for. If you get stuck when the Help Center is closed then consider using my Homework Helpline, for which you will almost certainly need the special HTML codes for mathematical symbols. If you do use my Helpline, please check first that your question hasn't already been asked (and possibly answered). Submit it on the appropriate form. Make sure you type MAC 2312 into the course field. Check back later for an answer. And give me plenty of time—I have a life, too, you know
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.
Notes for August 29:Can be downloaded here

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 4.0 isn't already installed on your computer, you can download it from here.
  Review Problem for August 29
  Integration by Substitution
  Solutions to Problems 2-5 at end of Notes on Integration by Substitution: Page 1 Page 2
  Some Notes on Integration by Parts
  Some Trigonometric Formulae for Integration
  Some Notes on Improper Integrals
  My Solutions to Anonymous Quiz (sorry about the punch holes): Page 1 Page 2 Page 3 Page 4
A Sample of Your Solutions: AOK False Economy No Working Major Blooper
  Some Notes on Numerical Integration
  Some Notes on Calculating Areas and Volumes
  Why Does the Ratio Test Work?
  An Illustration of the Concept of Radius of Convergence
  Elasticity, Learning Theories & Differential Equations
  An Illustration of Solving ODEs by Power Series Expansion
  Some Further Notes on Problem No. 20 of Section 10.4 (p. 509)
  On the Work Done in Raising a Distributed Mass
  Two Ways to Solve a Homogeneous Differential Equation
  Problem No. 30 of Section 10.4 (p. 509)
  On Solving the Harmonic Equation with Damping

Tests will usually be posted in PDF format. If Acrobat Reader 4.0 isn't already installed on your computer, you can download it fromhere. Solutions may be posted either in GIF format or PDF format.

Mock Tests

  Mock First Test Solutions: Page1 Page2 Page3 Page4 Page5 Page6
  Mock Second Test Solutions: Page1 Page2 Page3
  Mock Third Test Solutions: Page1 Page2 Page3 Page4
  Mock Final Solutions

Real Tests for Section 05

First Test Solutions: Page1 Page2
Second Test Solutions: Page1 Page2
Third Test Solutions: Page1 Page2
Final Solutions: Page1 Page2

Real Tests for Section 06

First Test Solutions: Page1
Second Test Solutions: Page1 Page2
Third Test Solutions: Page1 Page2
Final Solutions: Page1 Page2

 Written Assignment

(Due at the beginning of class on Tuesday, October 10.)
Questions Solutions: Page1 Page2 Page3 Page4 Page5 Page6

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