## Martin Flashman's Courses

Math 106 Calculus for Business and Economics
Fall, '00
Final Examination: Wednesday 12-20-00 12:40-14:40 or self scheduled
See Prof. Flashman
Checklist of topics for Final Exam

MTRF 1300-1350 SH 128

Last updated: 8/29/00
```Fall, 2000     Problem Assignments(Tentative as of 8-29-00)       M.FLASHMAN
Section   Problems (*= interesting but optional; SC= Self-Check)
-------   --------------------------------------
Assignments and Recommended problems I```
```8/29 ->  rev. sheet  Problems 1,2,4,6
8/31 -> 1.1: 1-23 odd; 45-51 odd;111,112,115,116, 121-124
8/31 -> 1.2: (i)1-4,13-15,23-25,33-36
9/1  ->    (ii)53-55,65-67,89,95,99
8/31 -> 1.3: 1-19 odd
9/1  -> 1.4:(i)1-14;17,23,27-30,45,51,53
9/5  ->     (ii)55-57,69,71,73,75,76,78
9/7 ->  rev. sheet  Problems 5,8
9/7 -> 2.1:  (i)SC:1-3; 1-5,9 (also draw T-figs to illustrate these functions);13,15,17,33
9/8 ->       (ii)35-45 odd (also sketch T-figs);59,62,63,67,69,73,*77
9/11-> 2.1T:  1-5 odd; 11, *43
9/11 -> 2.3:(i)15-18;23,28,*30,31
9/12     -> (ii)36,37,40,41,45,51,52```
```Assignments and recommended problems II
9/14 -> 2.6:  2,3,5, *8
9/15 -> Read p 155-166. Do 2.6  19,13,21,27, 29, 31, 34, 51
9/18 ->   2.6: 15, 16, 22, 30, 33, 39-41,51

*2.6T:  1-9 odd
9/21 -> 3.1 (i) 1-21 odd, 22, 27,30, 35, 36, *72
9/22    -> (ii) 41-43,46,49; 55,57, 62, 63
9/22 ->3.2 (i) 1-9 odd, 12, 31, 32, 39
9/25    -> (ii) 15-23 odd, 33, 37, 46
9/25   -> (iii) 49,51,54, 58
9/26 ->3.3(i) 1-9 odd;24,47
9/28    (ii) 29,31,,59,63,65,71,*75
9/28  ->3.4 (i)1-5
9/29    -> (ii) 11, 13,16, 17, 19
10/2 -> Read handout plus pp 221-225.
->(iii) 23-27 odd,29,30
9/28 ->3.5  1-13 odd, 21-24, 29, 31, 32
9/29 ->3.6 (implicit diff'n) (i) 1,3,5, 9-11, 31
10/2 ->   (related rates) (ii) 15, *29, 39, 43-45,48
10/2 ->   (iii) 51,60
10/3 ->3.7 (i) 1-9 odd, 15-17, 27,29
10/5  ->  (ii) 34,36-39, 41,44
10/6   ->    2.4  1-9 odd
10/6  ->2.5 (i)1-19 odd,39,41
10/12   ->    (ii) 43-49 odd, 63, 71, 73, 76, 80
10/12   ->    pp 141-144 IVT & bisection   (iii) 87, 88, 93
10/16  ->  2.6 pp 167-169 "Diff implies cont" *57
Assignments and recommended problems III```
```10/9  ->4.1   (i)1-7 odd, 13-17,21, 23, 44-47
10/10     -> (ii) 37-40,25, 27, 49- 57 odd
10/12    ->  (iii) 60-64, 72, 73, 77
10/13 -> 4.4  (i) 2,5,7,8,15,17,19,39, 41
10/16 ->   (ii) 19-31 odd ; 45,49, 52, *55
10/16 -> 4.5     (i) 1,3, 15
10/17 ->         (ii) 5
10/20    ->  Read Example 5      (iii) 22
10/20 ->4.2  (i) 1-11 odd, 16, 23-27 odd
10/23 ->    (ii) 26, 45-49 odd, 75, 81

10/23 ->4.3 (i) 29, 30, 32,33,35, 37,43
10/24 ->    (ii) 40,45,65
10/26->    (iii) asymptotes: 1-15 odd,20-22, 61, 68```
```                 Assignments and recommended problems IV
10/24 -> 5.1  READ 374-376 (i) 1,4,7,10,13,16,19,22,25
10/27 -> (ii)27,29,31,32
10/30 ->   5.2    (i) 1-25 odd

10/31 ->      (ii) 20,22,27,29,31, 33-37 odd
10/31 -> 5.3 (i) 1-11 odd
11/2  ->   (ii) 13-23 odd
11/3  -> 5.4   (i) 1-17 odd,6,18, 29
11/6       -> (ii) 14,23,27,31,34,35,41, 45, 46
11/7             ->  (iii) 49, 54
11/6 ->    5.5  (i) 1-17 odd, 6,18, 29
11/7    ->   (ii) 4, 14, 35, 37, 47, 49, 53, 55
Optional  -> Handout problems on logs and exponentials.
11/9 -> 5.6   (i) 3,7,*9, 11, 15
11/10 ->       (ii) 9,12

11/13 6.1 -> (i) 1-19 odd
11/13     -> (ii) 23-30, 51-57 odd, 61
11/17  -> (iii)65, 67, 69, 79
11/14  ->IV.E  1a,c; 3a,c; 5a,b; 13 a,b; 21

Assignment for 11/27: Read IV.F and 6.3 pp 466-471.
Assignments and recommended problems V
11/28->  IV.F 1, 3, 7,9, 19, 21.
11/28 -> 6.4 (i) 5-11 odd
11/30 ->  (ii)10, 12, 23-29 odd
12/1     -> (iii) 19-22, 31-37 odd, 41-44```
```11/30 -> 6.2   (i) 1-13 odd
12/1  ->   (ii) 19-27 odd, 6,8, 51,53
12/4 ->        (iii) 45-47, 57, 59, 63```
```12/1 ->6.5   -> (i) [sub.] 1-11 odd
12/4      -> (ii) 2,4, 16, 29-33 odd
12/5      -> (iii) 41, 42, 43```
```12/5 ->6.6    area (i) 1-7
12/7      -> (ii) 9-23 odd, 35-37
12/8->        (iii) 27-30, 46

12/14              (i) 1-7 odd
12/11      -> value   (ii) 9-17 odd```
```12/12  7.4   ->(i) 1-7 odd,15, 17, 19, 50
-> (ii) 35, 37, 39```
```12/5->   8.1    (i)1-7 odd
12/7      -> (ii) 19, 20,25, 28,29, 35
12/8 -> 8.2  1-5,11-17 odd; 23-29 odd, 41,43
12/15->8.3   ->  21, 23, 25
12/15->      -> 1-7 odd

8.4   -> 1,3,*16, *19```
 Monday Tuesday Thursday Friday Week 1 8/28 Course Introduction 8/29 Numbers, Variables, Algebra Review 1.1&1.2 8/31 More Algebra review and The coordinate plane1.3 Begin Functions? 9/1 More Algebra review. Lines 1.4 Begin Functions. 2.1 Week 2 9/ 4 No Class. Labor Day 9/5 Begin Functions and models. 2.1 & 2.3 9/7 More Functions and Models. The fence problem: functions, graphs, technology. 9/8 Slopes, rates and estimation. Week 3 9/11  The Derivative I 2.6 Motivation: Marginal cost, rates and slopes. 9/12 The Derivative II 2.6 9 /14 The Derivative II 2.6 9/15 More on the Derivative. Begin the Derivative Calculus I 3.1 Week 4  Summary I due 9/22 9/18 Calculus II 3.1 9/19 3.1 Justify Powers & Sums. 9/21 3.2 product rules 3.2 Justify product 9/22  3.2 quotient rule. 3.3 The Chain Rule Week 5 POW I due 9/29 9/25 3.3 Chain Rule 9/26 3.4 Marginal Applications  3.5 Higher order Derivatives 9/28 3.6 Implicit Differentiation Related Rates 3.6 9/29 More related rates. Week 6 Summary II due:10/5 10/2 Differentials 3.7 10/3 More on differentials. relative error. 10/5 Back-up: limits and continuity 2.4 & 2.5  IVT? 10/6 Begin First Derivative Analysis 4.1 Week 7 POW II due:10/13 10/9 More First Derivative analysis. 4.1 . 10/10 IVT.2.5  Bisection Method 10/12 Optimization I 4.4 10/13 Review Optimization I 4.4 Optimization II 4.5 Week 8 Summary III due: 10/16 10/16 More optimization. 10/17 Second Derivative Analysis 4.2 More Optimization 10/19 Examination I  (covers through 10/13) 10/20 More optimization and  Curves III 4.3 Week 9  POW III due: 10/28 10/23 More on Concavity. Horizontal Asymptotes. 10/25 Vertical Asymptotes 10/27 Start Exponential and Logarithmic functions 5.1 10/28 Logarithmic functions 5.2 Week 10 : Summary IV due:11/3 10/30 Interest and value 5.3 10/31  more on interesr.Start derivative og exp. 11/ 2 Derivatives of exponentials 5.4 11/3 Derivatives of Logarithms 5.5 Week 11  POW IV 11/6 Logarithmic differentiation. 5.5 11/7 Models using exponentials 5.6 11/9 More models. 11/10  6.1 Begin Differential equations and integration Week 12 Summary V 11/13 Euler's Method IV.E 11/14 Euler's Method  and Area 11/16 Examination II (covers from 4.1 to 6.1 ) 11/17 Finding area by estimates and using anti-derivatives. Week 13 Thanksgiving Break 11/20 11/21 11/23 Thanksgiving 11/24 Week 14 11/27 The definite integral. 6.3  FT of calculus I 6.4 11/28 Substitution 6.2  Applications 6.5 11/30 Substitution in definite integrals. interpreting defintie integrals. 12/1 More area/ and applications 6.5 &.6.6 Week 15 POW V Due 12/5 Summary V  Due 12/4 12/4  Intro to functions of  2 or more 12/5 More on areas. Functions of 2 variables: level curves, graphs. 12/7  Partial derivatives. 1st order . 12/8Value 6.7  2nd order partial derivatives. 8.2 Week 16 (last week of classes) 12/11 Improper integrals and value. 7.4 12/12  Surplus 6.7 12/14  Extremes 8.3 (Critical points)  Least Squares. 12/15 Misc.OtherApplications  LAST CLASS :) Week 17 Final Exam Week 12/18 12/19 12/20 12/21
`*Final examination may be self-scheduled M,T,W, or R. Contact Professor Flashman.`
 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.
```

```

Fall, 2000                 COURSE INFORMATION               M.FLASHMAN
MATH 106 : Calculus for Business and Economics                MTRF 1300-1350 SH 128
OFFICE: Library 48                                        PHONE:826-4950
Hours (Tent.):  MTWR 10:15-11:30  AND BY APPOINTMENT or chance!

E-MAIL:flashman@axe.humboldt.edu           WWW: http://www.humboldt.edu/~mef2/
***Prerequisite: HSU MATH 42 or 44 or 45 or math code 40.

• TEXT: Required: Calculus for the Managerial, Life, and Social Sciences, Fifth Edition by S.T. Tan, 2000.

• Excerpts from Sensible Calculus by M. Flashman as available on the web 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.

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 and various  assignments.
•  Reality Quizzes 100 points 2 Midterm Examinations 200 points Homework 70 points Cooperative work 80 points Final Examination 200 points Total 650 points
• Cooperative problem assignments and summaries will be used to determine 80 points.

• The total points available for the semester is 650.
• 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 will use Winplot and Microsoft Xcel.
• Winplot is freeware and may be downloaded from Rick Parris's website or directly from this link for Winplot .