Martin Flashman's Courses
Math 109 Calculus I Spring, '02
MWF 2:00-3:10 WFB 258
Last updated: 12/16/01

 I.  Differential Calculus:            A. *Definition of the Derivative                 Limits / Notation                 Use to find the derivative                 Interpretation ( slope/ velocity )            B. The Calculus of Derivatives                * Sums, constants, x n, polynomials                 *Product, Quotient, and  Chain rules                  *Trignometric functions                 Implicit differentiation                 Higher order derivatives            C. Applications of derivatives                  *Tangent lines                  *Velocity, acceleration, rates ( related rates)                  *Max/min problems                  *Graphing: * increasing/ decreasing                             concavity / inflection                            *Extrema  (local/ global)                                        Asymptotes                 The differential and linear approximation                   Newton's method            D. Theory                 *Continuity  (definition and implications)                 *Extreme Value Theorem                  *Intermediate Value Theorem                 *Mean Value Theorem II. Differential Equations and Integral Calculus:            A. Indefinite Integrals (Antiderivatives)                 *Definitions and basic theorem                 *Simple properties [ sums, constants, polynomials]                 *Substitution         *Simple differential equations with applications    B. Euler's Method, etc.                 Euler's Method                 *Simple differential equations with applications         Tangent (direction) fields/ Integral Curves            C. The Definite Integral                  Euler Sums/Definition/ Estimates( endpoints/midpoints)/ Simple Properties / Substitution               *Interpretations  (area / change in position)               *THE FUNDAMENTAL THEOREM OF CALCULUS - evaluation form                THE FUNDAMENTAL THEOREM OF CALCULUS - derivative form             D. Applications                 *Recognizing sums as the definite integral          *Areas (between curves).           Average value of a function.          Work (springs)          Volumes of revolution (discs).
Bonus Essay question for final:
Suppose P(t) is a positive continuous function on [a,b] that gives the velocity at time t of an object moving on a straight line. Explain using the mean value theorem why there is some number c between a and b where

.

Interpret this equation with either

(i) a discussion of the  velocity and position of the object with the position function given by  or
(ii) a discussion of the area under the graph of Y=P(x) above the X-axis from X=a to X=b and the area of a rectangle with height P(c) and width (b-a).

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Spring, 2002                                COURSE INFORMATION                                    M.FLASHMAN
MATH 109 : CALCULUS I                                MWF 2:00-3:10 WFB  258
OFFICE: Library 48                                        PHONE:826-4950
Hours (Tent.): MWF 3:30-4:30  TR 10:15-11:20  AND BY APPOINTMENT or chance!
On-line Math chat : I will frequently attend my math chatroom Tuesday and Thursday evenings at about 9:00 pm.
E-MAIL: flashman@humboldt.edu               WWW:  http://www.humboldt.edu/~mef2/
***PREREQUISITE: Math 115 or Math code 50 or permission. See also Teresa (Tami) Matsumoto's CALCULUS PREPARATION Information Page .

• TEXTS: Required: Calculus 4th Edition by James Stewart.(Brooks/Cole, 1999)

• Excerpts from Sensible Calculus by M. Flashman as available from Professor Flashman on the web.
Catalog Description: Limits, continuity, derivatives, integrals, and their applications.
• SCOPE: This course will introduce the theory and application of what is often described as "differential and integral calculus." These are contained primarily in Chapters 2 through 6 of Stewart. Supplementary notes and text will be provided as appropriate on the web.
• TESTS AND ASSIGNMENTS: There will be several tests in this course. There will be an oral quiz on the chain rule, several reality check quizzes, two self-scheduled midterm exams and a comprehensive final examination.
• Homework assignments are made regularly. They should be done neatly and  passed in on the due date. Homework is graded Acceptable/Unacceptable with problems to be redone. Redone work should be returned for grading promptly.
• Exams will be announced at least one week in advance.
• THE FINAL EXAMINATION WILL BE SELF SCHEDULED.
• The final exam will be comprehensive, covering the entire semester.
• MAKE-UP TESTS WILL NOT BE GIVEN EXCEPT FOR VERY SPECIAL CIRCUMSTANCES! It is the student's responsibility to request a makeup promptly.
• *** DAILY ATTENDANCE SHOULD BE A HABIT! ***
• Writing Assignments: At the beginning of each class you will submit
• a brief statement (at most four sentences) describing the content from previous class,
• a question related specifically to the reading assignment for that class, and
• any topics you would like to discuss further either in class or individually.
• I will read these and return them the next class. These will be used in determining 30 of the 100 points assigned for homework. No late reports will be accepted! [Notice that missing one class will result in missing two report opportunities.]
• Team Activities: Every two weeks your team will be asked to submit a summary of what we have covered in class. (No more than two sides of a paper.) These may be organized in any way you find useful but should not be a copy of your class notes. I will read and correct these before returning them. Team participants will receive corrected photocopies.

• Your summaries will be allowed as references at the final examination only.

Every week (with some exceptions) teams will submit a response to the "problem/activity of the week."
All  cooperative problem  work will be graded +(5 well done), ü(4 for OK), -(3 acceptable), or unacceptable(1) and will be used in determining the 80 points allocated for cooperative assignments.

• GRADES: Final grades will be determined taking into consideration the quality of work done in the course as evidenced primarily from the accumulation of points from tests, various individual and "team" assignments.
• Midterm exams will be worth 100 points each and the final exam will be worth 200 or 300 points.
• Homework performance will count for 100 points.
• Quizzes will determine 100 points.
• Cooperative problem assignments and summaries will be used to determine 80 points.
• The oral quiz on the chain rule will be graded on a credit(20 points)/no credit(0) basis.
• The final examination will be be worth either 200 or 300 points determined by the following rule:

• The final grade will use the score that maximizes the average for the term based on all possible points .

 Reality Quizzes 100 points Oral Quiz 20 points 2 Midterm Examinations 200 points Homework 100 points Cooperative work 80 points Final Examination 200/300 points Total 700/800 points
The total points available for the semester is 700 or 800. Notice that 300 of these points are not from examinations, so regular participation is essential to forming a good foundation for your grades as well as your learning.
MORE THAN 3 ABSENCES MAY LOWER THE FINAL GRADE FOR POOR ATTENDANCE.

** See the course schedule for the dates related to the following :

No drops will be allowed without "serious and compelling reasons" and a fee.
No drops will be allowed.
Students wishing to be graded with either CR or NC should make this request to the Adm & Rec office in writing or by using the web registration procedures.
See the spring course list for a full list of relevant days.
• Technology: The computer or a graphing calculator can be used for many problems.
• We will use Winplot. Winplot is freeware and may be downloaded from Rick Parris 's website or directly from one of these links for Winplot1 or Winplot2 . This software is small enough to fit on a 3.5" disc and can be used on any Windows PC on campus. You can find introductions to Winplot on the web.
• A version of X(PLORE) is available at the bookstore for  MAC based PC's along with the PC version we may use.Windows and DOS versions of X(PLORE) are also available online... X(PLORE) for Windows.
• Students wishing help with any graphing calculator should plan to bring their calculator manual with them to class.
• Graphing Calculators: Though much of our work this semester will be using the computer, graphing calculators are welcome and highly recommended. The HP48G, HP 49 and the TI-89 and 92 are particularly useful though most graphing calculators will be able to do much of the work. HP48G's will be available for students to borrow for the term by arrangement with the Math department. Supplementary materials will be distributed if needed. If you would like to purchase one or have one already, let me know. Students wishing help with any graphing calculator should plan to bring their calculator manual with them. I will try to help you with your own technology when possible during office hours or by appointment (not in class).
• Use of  Office Hours and Optional "5th hour"s: Many students find beginning calculus difficult because of weakness in their pre-calculus background skills and concepts. The Mathematics Department offers a weekend review of some of these through Math 280. [See me or the get more information at the Math Department office.] You might also check Teresa (Tami) Matsumoto's CALCULUS PREPARATION Information Page . A grade of C in Math 115 (Algebra and Elementary Functions) might indicate this kind of weakness. Difficulties that might have been ignored or passed over in previous courses can be a major reason for why things don't make sense now.
• You may use my office hours for some additional work on these background areas either as individuals or in small groups. My office time is also available to discuss routine problems from homework after they have been discussed in class and reality check quizzes as well as using technology. Representatives from groups with questions about the Problem of the Week are also welcome.
• I will try to organize and support additional time with small (or larger) groups of students for whom some additional work on these background areas may improve their understanding of current coursework.
• Later in the semester optional hours will be available to discuss routine problems from homework and reality check quizzes as well as using technology.
• Regular use of my time outside of class should be especially useful for students having difficulty with the work and wishing to improve through a steady approach to mastering skills and concepts.
• Don't be shy about asking for an appointment outside of the scheduled office hours.