CALCULUS WITH ANALYTIC GEOMETRY I

MAC 2311, Sections 09 and 10, Spring 2005

Lectures

Supplementary Materials for Current Semester

Homework Helpline for Current Semester

Solutions to Tests for Current Semester

Supplementary Materials for Past Semesters

Homework Helpline for Past Semesters

Solutions to Tests for Past Semesters


MAC 2311, Sections 09 and 10, Spring 2005

(References #05125 and #05126 in Directory of Classes)

Professor:Dr M-G
Office:202B Love
Office hours: Please check here, where current times are always posted. Office hours are subject to change during the semester at 24 hours notice (in principle, but rarely in practice). Note that office hours are primarily for personal matters that cannot be addressed in class (as opposed to tutorial help, for which see Course format)
Phone:(850 64) 42580
Email:mesterto@math.fsu.edu
Web site:http://www.math.fsu.edu/~mesterto
Goal: To introduce calculus, which is among the most broadly applicable mathematics in existence
Course page:http://www.math.fsu.edu/~mesterto/CalcI.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 106 LOV,  Mondays 02:30 — 03:20 p.m.,  Tuesdays and Thursdays 02:00 — 03:15 p.m.
Section 10: in 106 LOV,  Mondays 03:35 — 04:25 p.m.,  Tuesdays and Thursdays 03:35 — 04:50 p.m.
Text: Stewart,  Calculus: Early Transcendentals, 5th edition (Thomson, 2003, ISBN 0-534-39321-7), Chapters 2-6. Note that Chapter 1 contains only material that you already know, at least in principle. Use it for reference whenever you need it, and don't be afraid to use the index: it is easily the most important section of any mathematics text. For example, if you can't remember what a polynomial is, don't sit around moping—look it up in the index on p. A133, where you'll be directed straight to p. 29. (As it happens, I will remind you what a polynomial is in Lecture 2, but you get the idea.)
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 2311 is a (stated or implied) prerequisite. If you have prior credit in college calculus, you must reduce the credit for MAC 2311 accordingly
 
ALTERNATIVE THEORIES OF LEARNING VERSUS PAIN
For further details, please click here.
Prerequisites:
(i) C- or better in MAC 1114 (Analytic Trigonometry) and MAC 1140 (Precalculus Algebra) or in MAC 1147 (Precalculus Algebra/Trigonometry) at FSU, or in MAC 2140 and MAC 1114 at TCC; or appropriate transfer credit; or placement in AMP Group 1 or 1H (or 2 if you are currently taking trigonometry); or AMP Group 3A with prior college algebra; or AMP Group 3B with prior college trigonometry and
(ii) self-motivation and industriousness. Dr M-G's philosophy of learning is perhaps best expressed by the theory-of-learning diagram above
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: The course will be based on assigned readings consisting of lectures or—occasionally—passages from the text and on solving problems interactively. After each period I will set homework for the following period (either in class or by email); for example, your homework for Monday, January 10 is to read both Lecture 1 and Lecture 2, and to attempt as many as possible of the associated problems.
    In class, I will always assume that you have both read (not necessarily understood) any assigned readings and at least attempted (not necessarily completed) a significant and representative sample of the homework problems. Questions may be asked at any time (and should be, if there's anything you don't understand).
    On a typical Tuesday or Thursday, I will aim to end class formally after 50-60 minutes so that I can use the remaining 15-25 minutes of allotted time to offer tutorial help to those who need it. For other tutorial help, see How to study
Test Format: Look at tests from past semesters
Calculator policy: You are allowed to use a TI-30Xa/TI-36X or a four-function calculator for tests. The use of any other calculator is strictly forbidden
Grades: Will be based on four classroom tests (15% or 20% apiece) and a cumulative final examination (30%). Note that quality of presentation is extremely important. It is not enough merely to produce an answer: 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. 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 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; and similarly for other extenuating circumstances. 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. (In particular, you are not allowed to use a cell phone or otherwise have private conversations with others during class.)
Probable test dates: Tuesday, February 01
Tuesday, March 01
Tuesday, March 29
Tuesday, April 19
Certain final dates:Section 09:  Friday, April 29, 12:30 — 02:30 p.m. in 106 LOV
Section 10:  Friday, April 29, 03:00 — 05:00 p.m. in 106 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, you can go to the Math Help Center: opening hours are posted here.
    Alternatively, you can 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 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). Often I will attach a PDF file to my reply. If you can't open it, then I can't help you, because the problem is at your end; and so you must either fix it (with help from ACNS, if necessary) or download the file from here instead.
    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 must 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.
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.

Lectures

You can view and/or print PDF files with Adobe Reader.
  1. Functions: a graphical perspective
  2. Functions: an algebraic perspective
  3. Sequences
  4. Limits
  5. Infinitesimals and differential coefficients
  6. The derivative
  7. Derivatives of combinations
  8. Function sequences
  9. Properties of the exponential and logarithm
  10. Finite sums and infinite series
  11. The definite integral
  12. More on the definite integral
  13. Index versus ordinary functions
  14. The fundamental theorem of the calculus
  15. An application of the fundamental theorem
  16. Integration by substitution
  17. Four different ways to find the area of a circle
  18. Two different ways to find the volume of a cone
  19. The shape of a graph: extrema and concavity
  20. L'Hôpital's rule
  21. Work

Supplementary Materials


Homework Helpline


Solutions to Tests

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

Supplementary Materials for Past Semesters


Homework Helpline for Past Semesters


Solutions to Tests for Past Semesters

Summer, 2004: First Test Solutions
Summer, 2004: Second Test Solutions
Summer, 2004: Third Test Solutions
Summer, 2004: Fourth Test Solutions
Fall, 2004: First Test Solutions
Fall, 2004: Second Test Solutions
Fall, 2004: Third Test Solutions
Fall, 2004: Fourth Test Solutions
Fall, 2004: Section 7 Final Solutions
Fall, 2004: Section 9 Final Solutions

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