## Martin Flashman's Courses

Math 106 Calculus for Business and Economics
Spring, '00
Final Examination:
Tuesday 5-9-00 15:00-17:00 or self scheduled- See Prof. Flashman

MTWR 1500-1550 SH 128

Last updated: 1/19/00
```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```
 Monday Tuesday Wednesday Thursday Week 1 1/17 M.L.King Day No Classes 1/18 Course Introduction 1/19 Numbers, Variables, Algebra Review 1.1&1.2 1/20 More Algebra review and The coordinate plane1.3 Begin Functions. Week 2 1/24 More Algebra review. Lines 1.4 Begin Functions. 2.1 1/25 Functions and models. 2.1 & 2.3 1/26 The fence problem: functions, graphs, technology. 1/27 Slopes, rates and estimation. Week 3 1/31 The Derivative I 2.6 Motivation: Marginal cost, rates and slopes. 2/1 The Derivative II 2.6 2/2 Derivative Calculus I 3.1 Back-up: limits 2.4 2/3 Derivative Calculus I 3.1 Week 4  First Summary due:2/8 2/7 Calculus II 3.2 2/83.1 Justify Sums. 3.2 product rules 2/9 3.2 Justify product; quotient rule. 2/10 3.3 The Chain Rule  3.4 Marginal Applications Week 5 First POW due:2/17 2/14 Class Cancelled (power failure) 2/15 3.3 More Chain Rule 2/16 3.5  Higher order Derivatives  Implicit Differentiation 3.6 2/17 Related Rates 3.6 Week 6 Second Summary due: 2/22 2/21 More related rates. Start Differentials. 2/22 Differentials 3.7 2/23 Back-up: limits and continuity 2.4 & 2.5 2/24 More on Continuity. Week 7 POW II due: 3/1 2/28 IVT.2.5 2/29  First Derivative Analysis 4.1 3/1 3/2  Optimization I 4.4 Curve Sketching I 4.3 Week 8 Summary III due: 3/7 3/6 Review Optimization I 4.4 3/7 DARTS? Second Derivative Analysis 4.2  Optimization II 4.5 3/8 More Optimization 3/9 Examination I (covers through 4.1 and 4.4) Mid-Term Vacation 3/13 3/14 3/15 3/16 Week 9 3/20 More Curves III 4.3 3/21Start Exponential and Logarithmic functions 5.1 3/22 Logarithmic functions 5.2 3/23 more on logs. [Review of Exam I] Week 10 POW III 3/27Interest and value5.3 3/28 Finish Interest. 5.3 Derivatives of exponentials 5.4 3/29 More on exponentials in functions. 5.4 3/30  derivatives of Logarithms 5.5 Week 11 4/3 Models using exponentials 5.6 4/4  Begin Differential equations and integration 6.1 4/5 More on de's and integration 4/6 Week 12 4/10 Euler's Method IV.E 4/11Euler's Method  and Area 4/12 The definite integral. 6.3 FT of calculus I 6.4 ? 4/13 Examination II (covers from 4.1 to 6.1 ) Week 13 4/17 Substitution 6.2 4/18 More on the definite integral. Applications 6.5 4/19 More area/ and applications 6.5&.6.6 . 4/20Surplus 6.7 Week 14 4/24 Value 6.7Improper integrals and value. 7.4 4/25 Intro to functions of 2 or more 4/26 Partial derivatives. 1st order . 4/27 .2nd order partial derivatives. 8.2  Extremes 8.3 (Critical points) Week 15 (last wek of classes) 5/1More on improper integrals. More on value. 5/2  Least Squares. 5/3  Misc.OtherApplications (volume) 5/4 Integration with technology. LAST CLASS :) Week 16 Final Exam Week 5/8 5/9*Final Exam 15:00-17:00 5/10 5/11
```*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.

Back to Martin Flashman's Home Page :)       Back to HSU Math. Department :}

```
Back to Martin Flashman's Home Page :) Back to HSU Math. Department :}

Spring, 200                 COURSE INFORMATION               M.FLASHMAN
MATH 106 : Calculus for Business and Economics                MTWR 1500-1550 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, 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.