• Course Description
• Course lecture summaries (ONLY THROUGH 2/16)
• Course Assignments: Text Problem lists

I

II

III

IV

V

• Course Problem of the Week (sometimes with hints, etc.)
• CHECKLIST FOR REVIEWING FOR THE FINAL
• Visual Calculus (Univ. of Tenn.) calculus (first year) tutorials, etc.
• Calculus Applied to the Real World (Tutorials and other stuff at Hofstra)
• Calculus for the Managerial, Life, and Social Sciences, Fourth Edition Sample review questions, quizzes, and tests. (value=?)
• Calculus web sites for surfing.
• Winplot and X(plore) (DOS) files [An experiment... not active currently.]
• Some advice on how to suceed  in a calculus course (at the Univ. of Nebraska)

Spring, 2000     Problem Assignments(Tentative as of 1-15-00)       M.FLASHMAN 
Section   Problems (*= interesting but optional; SC= Self-Check) 
-------   --------------------------------------
Assignments and Recommended problems I

1/19-> rev. sheet
1.1: 1/20-> 1-23 odd; 45-51 odd;111,112,115,116 
1.2: 1/20-> (i)1-4,13-15,23-25,33-36   
       1/24->(ii)53-55,65-67,89,95,99 
1.3: 1/24-> 1-19 odd 
1.4: 1/25 ->(i)1-14;17,23,27-30,45,51,53     1/26-> (ii)55-57,69,71,73 
2.1: 1/26 -> (i)SC:1-3; 1-5,9 (also draw T-figs to illustrate these functions);13,15,31
     1/27 -> (ii)33-43 odd (also sketch T-figs);55,58,59,63,65,69, *73 *
2.1T:  1-5 odd; 11, *43 2.3: 1/31 ->(i)15-18;23,26,*28,29   
2/1->   (ii)32,33,36,37,41,47,48

Assignments and recommended problems II 
2.6 2/2-> (i) 2,3,5, *8,13,15
    2/3-> (ii) 27, 29, 19, 21, 31, 34, 51 
   2/7-> (iii) 30, 33

*2.6T:  1-9 odd

3.1 2/7-> (i) 1-21 odd, 22, 27,30, 35, 36, *67
    2/8-> (ii) 41-43,46,49; 55,57, 62, 63


3.2 2/9-> (i) 1-9 odd, 12, 31, 32, 39
    2/10-> (ii) 15-23 odd, 33, 37, 46
    2/15-> (iii) 49,51,54, 58
3.3 2/16->(i) 1-9 odd;24,47
    (ii) 29,31,, 53, 57,65,*69
3.4 2/15-> (i)1-5
    2/16-> (ii) 11, 13,16, 17, 19
BREAK>>>> DUE 3/20 Read handout plus pp 221-225. (iii) 23-27 odd,29,30
3.5 2/17->  1-13 odd, 21-24, 29, 31, 32
3.6 2/17-> (implicit diff'n) (i) 1,3,5, 9-11, 31
    2/22-> (related rates) (ii) 15, *29, 39, 43-45,48
    2/22->  (iii) 51, 55
3.7 2/23-> (i) 1-9 odd, 15-17, 27,29
    2/24->  (ii) 33,35-38, 41,43
2.4 2/28-> 1-9 odd
2.5 2/28-> (i)1-19 odd,39,41
    2/29-> (ii) 43-49 odd, 63, 71, 73, 76, 80
    2/29-> pp 130-133 IVT & bisection   (iii) 87, 88, 93
2.6 pp156-158 "Diff implies cont" *57

    Assignments and recommended problems III

4.1   3/1->  (i)1-7 odd, 13-17, 37-40, 44-47
      3/2-> (ii) 21-27 odd, 49- 57 odd, 73, 77
      3/6->  (iii) 60-64, 72
4.4   3/2-> (i) 2,5,7,8,15,17,19,39, 41
      3/6->   (ii) 19-31 odd ; 45,49, 52, *55
4.5   3/8->   (i) 1,3, 15 
     3/20->  Read Example 5      (ii) 5, 22
4.2  3/8-> (i) 1-11 odd, 16, 23-27 odd
     3/20-> (ii) 26, 45-49 odd, 75, 79
       
4.3  3/21->(i) 29, 30, 32,33,35, 37,43
     3/22->(ii) 40,45,65, 68
     3/23->(iii) asymptotes: 1-15 odd,20-22, 61

                 Assignments and recommended problems IV
5.1 3/21 -> READ 362-364 (i) 1,4,7,10,13,16,19,22,25
    3/22 -> (ii)27,29,31,32
5.2  3/23->    (i) 1-25 odd
     3/27->  (ii) 20,22,27,29,31, 33-37 odd
5.3  3/29-> (i) 1-11 odd
     3/30-> (ii) 13-23 odd
5.4  3/29->   (i) 1-17 odd,6,18, 29
     3/30-> (ii) 14,23,27,31,34,35,41, 45, 46
     3/30->  (iii) 49, 53
5.5  4/3-> (i) 1-17 odd, 6,18, 29
     4/3->   (ii) 4, 14, 35, 37, 47, 49, 53, 55
     4/4-> Handout problems on logs and exponentials.
5.6  4/5->  3,7,*9, 11, 15
 
6.1  4/5-> (i) 1-19 odd
     4/6-> (ii) 23-30, 51-57 odd, 61
     4/6-> (iii)65, 67, 69, 79 
IV.E  4/11-> 1a,c; 3a,c; 5a,b; 13 a,b; 21
IV.F  4/17-> 1, 3, 7,9, 19, 21.
6.4   4/17-> (i) 5-11 odd, 23-29 odd

       Assignments and recommended problems V
6.4    4/18->(ii)10, 12, 19-22, 31-37 odd
       4/19-> (iii) 41-44
6.2    4/18->  (i) 1-13 odd
       4/19-> (ii) 19-27 odd, 6,8, 51,53
             (iii) 45-47, 57, 59, 63
6.5    4/19-> (i) [sub.] 1-11 odd
       4/20-> (ii) 2,4, 16, 29-33 odd
       4/20-> (iii) 41, 42, 43
6.6    4/20-> area (i) 1-7
       4/24-> (ii) 9-23 odd, 35-37
            (iii) 27-30, 44
6.7    4/24-> surplus (i) 1-7 odd
       4/25-> value   (ii) 9-17 odd

7.4    4/25->(i) 1-7 odd,15, 17, 19
       5/2-> (ii) 35, 37, 39,45

8.1    4/26-> 1-7 odd; 19, 20,25, 28,29, 35
8.2    4/27-> 1-5,11-17 odd; 23-29 odd, 41,43
8.3     5/1->  21, 23, 25
        5/4*-> 1-7 odd
8.4     5/3-> 1,3,*16

*Final examination may be self-scheduled M,T,W, or R. Contact Professor Flashman.

        Math 106, Spring, '00  CHECKLIST FOR REVIEWING FOR THE FINAL     M. Flashman
                                 * indicates a "core" topic.
        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               
                *logarithmic and exponential functions
                Implicit differentiation
                Higher order derivatives
           C. Applications of derivatives
                        *Tangent lines
                        *Velocity, acceleration, marginal rates (related rates) 
                        *Max/min problems
                        *Graphing: * increasing/ decreasing 
                           concavity / inflection
                           *Extrema  (local/ global) 
Asymptotes
                The differential and linear approximation 
           D. Theory
                *Continuity  (definition and implications)
                *Extreme Value Theorem 
                *Intermediate Value Theorem
            E. Several Variable Functions
                  Partial derivatives. (first and second order)
                  Max/Min's and critical points.
                                             
        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
                 Definition/ Estimates/ Simple Properties / Substitution
                *Interpretations  (area / change in position/ Net cost-revenues-profit)
                *THE FUNDAMENTAL THEOREM OF CALCULUS - evaluation form
                  Infinite integrals         
           D. Applications
                *Recognizing sums as the definite integral  
       *Areas (between curves).  
        Average value of a function. 
                 Present Value.
                 Consumer Savings.             




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E-MAIL:flashman@axe.humboldt.edu           WWW: http://flashman.neocities.org/
***Prerequisite: HSU MATH 42 or 44 or 45 or math code 40.

• TEXT: Required: Calculus for the Managerial, Life, and Social Sciences, Fourth Edition by S.T. Tan, 1997.

Excerpts from Sensible Calculus by M. Flashman as available from Professor Flashman.
• Catalog Description: Logarithmic and exponential functions. Derivatives, integrals; velocity, curve sketching, area; marginal cost, revenue, and profit, consumer savings; present value.
• SCOPE: This course will deal with the theory and application to Business and Economics of what is often described as "differential and integral calculus."  Supplementary notes and text will be provided as appropriate.
• TESTS AND ASSIGNMENTS: There will be several tests in this course. There will be several reality check quizzes, two 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! ***
• 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.
 

On alternate weeks 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 50 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 and various  assignments.

Reality Quizzes	100 points
2 Midterm Examinations	200 points
Homework	50 points
Cooperative work	50 points
Final Examination	200 points
Total	600 points

• Cooperative problem assignments and summaries will be usd to determine 50 points.

The total points available for the semester is 600. Notice that only 400 of these points are from examinations, so regular participation is essential to forming a good foundation for your grades as well as your learning.
MORE THAN 4 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.
• 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.
• No drops will be allowed. 

  ---

• Technology: The computer or a graphing calculator can be used for many problems. We may use X(PLORE) or Winplot.  A version of X(PLORE) is available at the bookstore for  MAC based PC's along with the PC version we will use.Windows and DOS versions of X(PLORE) are also available online...X(PLORE) for Windows.Winplot is freeware and may be downloaded from Rick Parris's website or directly from this link for Winplot . Students wishing help with any graphing calculator should plan to bring their calculator manual with them to class.
• Graphing Calculators: Graphing calculators are welcome and highly recommended. We will use the HP48G for some in-class work though most graphing calculators will be able to do much of this work. HP48G's will be available for students to borrow for the term through me 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.

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