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QTM1300 |
Fall 1998 |
Quantitative Methods with Calculus |
Joseph F. AietaEmail: aieta@babson.edu |
Office: 217 Babson Hall
Telephone: 239-4370
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Office Hours: Monday 1:00 PM - 2:00 PM, Wednesday
10:35 AM - 12:00 Noon, and by appointment
Document Index last revised Wednesday, January 17, 2001
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.
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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 Babsons policies concerning
Academic Honesty and Integrity, which are stated in the undergraduate catalog.
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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.
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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.
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| 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 elses 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.
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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
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 GuideLinear 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 |
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Week 2
(no class 9/7/98)
Sep 9, 11Assign. |
Linear
Functions EC pp. 14 - 17
P/S sections 1.11 - 1.16 |
Linear Break-Even
type I (Manufacturer)
LinBE.xls
Q 1 - 9K:/Courses/Exclcmpn/Practice
Linear1, Linear2, Linear3, Piecewise |
P/S p 48
# 20, 22 P/S p 64 #13, 15, 16, 17
Quiz1 |
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| Week 3 Sep 14 -18
Assign. |
Linear
Functions
Non-linear Functions
EC pp. 21 - 29P/S section 5.1 - 5.2
P/S sections A2.9 - A2.14
Review 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 - 6optional -- 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.xlsp 88 # 3, 5, 15, 19, 22
p160 part (a) # 7, 15, 16, 17, 20, 25
Quiz 2 |
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Week 4
Sep 21 -25Assign. |
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 - 5Maximize Profit
Machines.xls Q 1 - 3
EC Appendix B Solver
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P/S p182 part (a) # 3, 6, 12, 16
Formulate
17, 19, 20, 21
Complete
17, 19, 20, 21P/S p 183 # 18, 22, 23, 24
Quiz 3 |
|
Week 5
Sep 28 - Oct 2Assign. |
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 |
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Week 6
Oct 5 - 9Assign. |
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 - 5Continuous 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 |
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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 |
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Week 8
Oct 19 - 23Assign. |
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 |
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Week 9
Oct 26 - 30Assign. |
Differential
Calculus P/S section 7.10
EC pp. 67 - 71 |
Secant Lines
Secants.xls Q 1- 4Difference Quotient
DiffQuot.xls Q 1- 4 |
P/S p
497 # 1, 4, 5
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P/S
sections 7.12-7.15 |
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P/S p 506
# 8, 12, 13, 19, 31, 34, 35, 40, 42 P/S p 511 # 7, 13, 15,
24
Quiz 6 |
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Week 10
Nov 2 - 6Assign. |
Differential
Calculus P/S section 7.17 |
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P/S p 518
# 10, 12, 13 |
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P/S
sections 9.1 - 9.2, 9.5 |
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P/S p 604
# 2, 4, 8, 10, 13, 23 P/S p 607 # 2, 3, 7
Quiz 7 |
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| Week 11 Nov 9 -13
Assign. |
Differential
Calculus P/S Sections 8.1 - 8.3 |
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P/S p 539
# 12,17,19, 24 - 26 P/S p 549 # 17, 20 |
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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 |
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| 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) |
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Thanksgiving Recess |
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Week 13
Nov 30 - Dec 4 |
Differential Calculus
EC pp. 81 -88 |
study Trucking.xls Point Marginal Profit
PointMP.xls
Q 1- 9 |
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| Assign. |
P/S
section 9.3 |
Response Functions
Response.xls
Q 1- 6 |
P/S
p 604 # 24, 26,27,28
p 607 # 11, 18Quiz 9 (Formulating
Max/Min
applications) |
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| Week 14 Dec
7 - 11
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Student
Opinion Survey Review for Final Exam |
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K:/courses/qtm1300/exclcmpn/practice |
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