QTM1300

Fall 1998

Quantitative Methods with Calculus


Joseph F. Aieta

Email: aieta@babson.edu


Office: 217 Babson Hall

Telephone: 239-4370

Office Hours: Monday  1:00 PM  - 2:00 PM,  Wednesday   10:35 AM - 12:00 Noon,  and by appointment

Week 1 2 3 4 5 6 7 8 9 10 11 12 13

Document Index last revised Wednesday, January 17, 2001

Course Objectives How to Succeed at Babson
Integrity Organization
Written and Electronic Homework Evaluation
Attendance and Makeups Topical Outline

Required Texts:

G. Prichett and J. Saber, Mathematics with Applications in Management and Economics, (P/S)
Irwin/McGraw-Hill, 1998 Customized Edition of Seventh Edition
J. Aieta, Excel Companion for Quantitative Methods with Calculus, (EC) , 1998
Babson College, Computer and Library Survival Guide, Information Technology and Services Division

Calculator:

The purchase of the  TI BA II plus (available at the Babson Bookstore) is strongly recommended. The Math Resource Center will be able to offer calculator assistance only on this machine. If you elect to use a different calculator, then it must have exponents (x^y), logarithms (ln), and storage capabilities. Bring your calculator with you to each class.

Suggested References:

Dowling, Edward T., Mathematical Methods for Business and Economics, MGraw-Hill, 1993

 

Course Objectives:
1. To encourage and empower students to express and analyze quantitative situations with appropriate numerical, graphical, algebraic, and verbal representations.
2. To encourage and empower students to develop effective problem solving strategies and validation techniques for both well-defined and ill-defined problem situations.
3. To encourage and empower students to build confidence in the ability to communicate using mathematical concepts.
4. To encourage and empower students to make intelligent choices in the selection of tools, to use technological tools effectively, and to use care and judgment in the interpretation of numerical results obtained from calculators and/or computers.
5. To encourage and empower students to model phenomena using numerical, algebraic, and graphical methods in order to better understand the sensitivity of solutions to changes in problem parameters and to visualize interrelationships among the components of a model.

As you develop judgment and skill in the appropriate use of tools (including paper and pencil, calculators, and computers) never lose sight of the following fact:

The absolute most important tool for doing mathematics is your brain.

The numbers, symbols, and graphs that you see on a computer screen or on a calculator display do not always provide useful information. Often they constitute only raw data in various forms. When you use these electronic devices you will need to use care and judgment in entering input and interpreting output.

Return to Index

Become familiar with the document How to Succeed at Babson which can be found on the Electronic Campus as success.htm

Integrity:

Students may work together on homework. All other work in this course is to be YOUR work and your work alone. Be sure you are familiar with Babson’s policies concerning Academic Honesty and Integrity, which are stated in the undergraduate catalog.

Return to Index

Organization:

You must obtain a hard-backed 3-ring binder large enough to contain the Excel Companion, your homework, handouts, quizzes, and tests. Keeping this binder up to date will prove invaluable before term exams and final exam week. Organizing your written work will also help you in the preparation of your portfolio. It is important that you keep careful records of your work, both written and electronic, so that you can see your progress related to the Babson competencies. During the semester you should discuss the five competency areas with your faculty mentor.

Return to Index

Written Homework:

Written homework must be done on standard size (8.5" by 11") paper and is due at the beginning of class. Your name (printed) and the due date should appear on the upper right of the front page. Title, page, and number must properly identify problems. Numerical answers alone are generally not sufficient on written homework. In many cases you must include a step by step justification and a written interpretation of any numerical results. The homework grader will remove credit for lack of clarity as well as for lack of accuracy. Before you hand in any written assignment make sure that the sheets are in proper sequence and then staple them. All written homework should be neat, legible and carefully organized. No frayed edges or messy erasures. Take pride in your work, do a professional job! Any assignment or project that does not meet the specified requirements or is not submitted on the due date, will not receive full credit and may receive no credit. If you wish to have copies of recent homework to use for a quiz or a test (before it comes back from the grader) then you must make copies.

Submitting Electronic Work:

Our class will be among the first to work with electronic submission of certain homework assignments, projects, and quizzes. Instructions regarding submitting work electronically will be given in class.

Return to Index

Evaluation: weight
Exams: 30 %
Quizzes: (The lowest quiz score will be dropped). 15 %
Project and Non-Routine Problems: 15 %
Homework ( paper & electronic) and Class Participation: 15 %
Final Exam: 25 %
……………………………………………………………… ……….
Total: 100%

Ten point quizzes are normally scheduled at the end of the week. Generally no partial credit is given on answers to quiz questions. No notes are permitted on quizzes. The lowest quiz score is dropped. There will be two or three term examinations (possibly in the evenings or on a Friday) plus a two-hour final examination. You will not be given more time if you arrive late to a quiz or test. For each term exam and for the final exam, students may bring their own handwritten notes on both sides of one (1) 8.5 by 11-inch sheet of paper. A photocopy of someone else’s sheet will not be allowed. Quizzes and tests are closed book. Guidelines and policies regarding group projects will be discussed in class. Projects will be graded for organization and presentation as well as content. You must schedule a meeting with your instructor at least two weeks prior to the due date of a project. You may be asked to provide assessments of the contributions of each member of your team.

Return to Index

Attendance and Makeups:

You should make every effort to attend each class. Failure to attend class regularly will lower the class participation component of your grade and will almost guarantee that you will fall behind in classwork In the case of an unavoidable absence, students are expected to inform me by e-mail (Aieta) or by telephone (x4370). Ordinarily there will be no makeups on quizzes. Exams are announced in class well in advance and also posted electronically. Makeup's on exams will be considered only if you have a legitimate excuse. A medical emergency, an automobile accident, or the deaths of a close friend or immediate family member are examples of legitimate excuses. Travel on non-refundable tickets on scheduled school days is not considered to be a legitimate excuse. Please advise your parents not to make travel reservations on your behalf that violate this policy. Assuming that the office of Class Deans confirms your legitimate excuse, you must take the responsibility for (1) providing me with an explanation by e-mail and (2) making up the exam at the earliest possible date. In case of absence due to conflicts with athletic events, administration of makeups may be handled through the office of the Athletic Director.

Date  ( tentative) Time Location
Exam 1 October 2  9:30 -11:00 AM Tomasso 308
Exam 2 November 13  9:30 -11:00 AM Tomasso 308
Exam 3 (if needed) TBA TBA TBA
Final Exam DEC 18, 1998
3:30PM-5:30PM
TBA

Return to Index

Tentative Topical Outline

Fall 98

QTM1300

The following tentative lists of topics, activities, handouts, and computer files are subject to changes announced in class. It is to be used only as a guide regarding where we plan to be at any given time during the semester. You, and only you, are responsible for recording additions, deletions, or other types of modifications. Changes will be announced in class and stored electronically either on the local area network, Globenet, or on a particular course/class web site. As assigned exercises, projects, quizzes, and exams are announced, you should make note of the relevant due dates.

Students should come to each class prepared to discuss the assigned problem and should have written notes on any problems that were encountered in the assigned exercises.

Week Reading for Class:

Prichett/Saber Text, P/S

Excel Companion, EC

Core Exercises in the Excel Companion
K:\COURSES\EXCLCMPN\

(exercises not completed in class should be done as homework)
Core Exercises in the Prichett/Saber Text

(handouts and/or additional practice may be given in class)

Week 1

Sep 2 , 4

Assign.

[Algebra Refresher: on your own as needed]

P/S R.1 - R.10 self directed review
Select practice  exercises on pages

883, 895, 907, 917, 923

Linear Functions

EC pp. 1 - 13
P/S sections 1.1 - 1.10

Check out your Globenet account, synchronize passwords  http://www.babson.edu/password become familiar with the electronic campus, directories and files on the K: drive

Reference:  The 1998-1999 Computer and Library Survival Guide

Linear Depreciation
Lindepr.xls

Q 1 -  8

See guidelines on written work



P/S p 25 # 6,8,25, 26, 27 - 35

P/S
p 37 # 27, 32 - 35, 46 - 50, 55


Week 2
(no class 9/7/98)

Sep 9, 11

Assign.

Linear Functions

EC pp. 14 - 17

P/S sections 1.11 - 1.16

Linear Break-Even
type I (Manufacturer)

LinBE.xls

Q 1 -  9

K:/Courses/Exclcmpn/Practice
Linear1.xls
Linear2.xls
Linear3.xls
Piecewise.xls

P/S p 48 # 20, 22

P/S p 64 #13, 15, 16, 17


Quiz1


Week 3

Sep 14 -18

Assign.

Linear Functions

Non-linear Functions


EC
pp. 21 - 29

P/S section 5.1 - 5.2

P/S sections A2.9 - A2.14
R
eview as needed.

Linear Systems Review
P/S sections 2.1 - 2.4
A2.15 - A2.18,

3.1 - 3.4

Linear Break-Even  type II
LinBE.xls  Q 10 -  13

Plotting Utilities
Plot.xls
    Q 1 -  4

Nonlinear Break-even
NonlinBE.xls
    Q 1 - 6

optional -- Work through the steps in  EC Appendix A

P/S p 64 #  29, 31, 32, 33

p 362 # 11, 16, 18, 23, 24, 28
check graphs with Plot.xls

p 88 # 3, 5, 15, 19, 22

p160 part (a) # 7, 15, 16, 17, 20, 25

Quiz 2


Week 4

Sep 21 -25

Assign.

Linear Optimization Graphical Method

P/S sections 3.5

Linear Optimization

EC pp.32- 35, 94 - 105

P/S sections 3.5-3.8

EC pp 36 - 44

Minimize Cost
Vitamins.xls
   Q 1 -  5

Maximize Profit
Machines.xls
   Q 1 - 3

EC Appendix B      Solver

P/S p182 part (a) # 3, 6, 12, 16
                Formulate   17, 19, 20, 21

                 Complete   17, 19, 20, 21

P/S p 183 # 18, 22, 23, 24


Quiz 3


Week 5

Sep 28 - Oct 2

Assign.

P/S sections 3.5-3.8

EC pp 45 - 46

Exponential and Logarithmic Functions

P/S sections 5.4 - 5.9

Diskettes
Disketts.xls   Q 1 - 5
P/S p 198 # 1, 6, 8

p 221 #16, 18 (use Solver)

p 372 # 9 - 23 (odds)

p 373 # 41 - 51 (odds), 57

HOUR EXAM 1


Week 6

Oct 5 - 9

Assign.

Time Value of Money

EC pp. 47 - 53

P/S sections 6.7-6.13, 6.15

Lump Sum
p 50-51   TVM1.xls
    Q 1 -  7

Financial Calculator Emulation
p 52-53  TVM1.xls Fincalc1
Q 1 -  5

Continuous Compounding
p 53 TVM1.xls      Q 6

P/S   p 409 # 10,11,13,15
          p 413 # 5, 8, 9
          p 416 # 11
          p 423 # 4, 12, 15, 21 - 24

 

Quiz 4


Week 7
(no class 10/12/98)

Oct 14 -16

Assign.

TVM: Annuities

EC pp. 54-56

P/S sections 6.17-6.23

EC pp 57-58

Future Value of an Annuity
p 54  TVM2.xls
  Q 1 - 4

Present Value of an Annuity
p 55  TVM2.xls   Q 1 - 3

Financial Calculator II
p 56  TVM2.xls    Q 1 - 3

Car Loan
p 57  TVM2.xls    Q 1 - 4

Home Loan
p 58  TVM2.xls    Q 1- 4

P/S p 430 # 5, 8, 10, 12
        p 439 # 6, 9, 10, 12
        p 447 # 7, 10, 17,18

 

 

 

practice quiz questions


Week 8

Oct 19 - 23

Assign.

 

Differential Calculus

EC pp. 59 - 66

P/S sections 7.1 - 7.6,
7.9 - 7.10

 

Non-linear Rates of Change
Marginal.xls
    Q 1- 5

Average versus
Instantaneous Change

TimeTemp.xls
   Q 1- 8

Tangent Lines
Tangents.xls
  finish the table

Quiz 5 on  10/19/98 TI BA II PLUS

P/S p 470 # 5, 6, 7, 9, 15
        p 482 # 1, 5, 8, 13, 21


Week 9

Oct 26 - 30

Assign.

Differential Calculus

P/S section 7.10

EC pp. 67 - 71

Secant Lines
Secants.xls    Q 1- 4

Difference Quotient
DiffQuot.xls   Q 1- 4

P/S p 497 # 1, 4, 5


P/S sections 7.12-7.15 P/S p 506 # 8, 12, 13, 19, 31, 34, 35, 40, 42

P/S p 511 # 7, 13, 15, 24

Quiz 6


Week 10

Nov 2 - 6

Assign.

Differential Calculus

P/S section 7.17

P/S p 518 # 10, 12, 13
P/S sections 9.1 - 9.2, 9.5 P/S p 604 # 2, 4, 8, 10, 13, 23

P/S p 607 # 2, 3, 7

Quiz 7


Week 11

Nov 9 -13

Assign.

Differential Calculus

P/S Sections 8.1 - 8.3

P/S p 539 # 12,17,19, 24 - 26

P/S p 549 # 17, 20

EC pp. 72 - 74

P/S Section 8.4

Maximum Volume of Open Box MaxVolum.xls
Q 1- 5
P/S p 559 # 1, 2, 7, 10, 16, 17

HOUR EXAM 2


Week 12

Nov 16 -20

Assign.

Differential Calculus

EC pp. 75 - 80

P/S Section 8.6

Classical Max - Min Problems
ClsscMin.xls
Q 1-10
P/S p 559 # 12, 13, 14, 15

Quiz 8  ( take home)


Thanksgiving Recess


Week 13

Nov 30 - Dec 4
Differential Calculus

EC pp. 81 -88

study Trucking.xls

Point Marginal Profit
PointMP.xls
Q 1- 9

Assign. P/S   section 9.3 Response Functions
Response.xls

Q 1- 6
P/S p 604 # 24, 26,27,28
        p 607 # 11, 18

Quiz 9 (Formulating Max/Min
            applications)


Week 14

Dec 7 - 11

 

Student Opinion Survey

Review for Final Exam

     

K:/courses/qtm1300/exclcmpn/practice


Return to Index