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Title: Office Hours: Mondays, Wednesdays, 9:45 10:45 Other time


1
Math 1101 - Mathematical Modeling
Charles Koppelman
Office Mathematics and Statistics, Room
018 Phone 678-797-2051
Email ckoppelm_at_kennesaw.edu Website
www.science.kennesaw.edu/ckoppelm Office Hours
Tuesday Thursday 1230 130
Wednesday 230 330
Other times by appointment
2

Textbook Functions and Change, Fourth Edition
by Crauder, Evans, and Noell
or
soft cover hard cover
From the preface of the textbook This text uses
real-world problems and models almost
exclusively, including an incredible diversity
of interesting applications.
Calculator TI-83, TI-83 Plus, TI-84, or TI-84
Plus graphing calculator. This calculator will
be used throughout the course.
From the preface of the textbook This text is
designed to be used with a graphing calculator,
and the calculator is an essential part of the
presentation as well as the exercises.
Throughout the Text we employ TI83 screens. An
accompanying Technology Guide provides TI83,
TI83, and TI84 keystrokes.
3
Grading Policies There will be graded homework
assignments, group activities, three tests, a
final group project, and a comprehensive final
exam. They will count as follows Three
tests counting 100 points each 300 points
Graded homework assignments, group activities
70 points (approximate) Exit tickets
40 points (approximate) Final group
project 60 points Comprehensive final
exam 150 points Total 620 points
(approximate) No make-up exams or make-up
exit tickets will be given. You may substitute
90 of the final exam grade (scaled
appropriately) for the lowest test grade or a
missed test. If you miss a test due to illness
or an emergency on the day of the test , contact
me immediately (email is preferable). It may be
possible for you to take the test before the
next class meeting.
4
Grading Policies There will be graded homework
assignments, group activities, three tests, a
final group project, and a comprehensive final
exam. They will count as follows Three
tests counting 100 points each 300 points
Graded homework assignments, group activities
70 points (approximate) Exit tickets
40 points (approximate) Final group
project 60 points Comprehensive final
exam 150 points Total 620 points
(approximate) No make-up exams or make-up
exit tickets will be given. You may substitute
90 of the final exam grade (scaled
appropriately) for the lowest test grade or a
missed test. If you miss a test due to illness
or an emergency on the day of the test , contact
me immediately (email is preferable). It may be
possible for you to take the test before the
next class meeting.
An exit ticket is a 2-4 question assessment of
understanding of the content presented during
class. It will be distributed toward the end of
class and must be completed and submitted before
leaving. Attendance will be taken by referring
to exit tickets submitted.
At the end of the semester, the two lowest ET
grades will be dropped.
5
Supplemental Instruction
Angela Rossetti arossett_at_students.kennesaw.edu
  • Free and voluntary study group
  • Open to all Math 1101 students
  • Come regularly or just drop in as needed

6
Supplemental Instruction
Angela Rossetti arossett_at_students.kennesaw.edu
  • Free and voluntary study group
  • Open to all Math 1101 students
  • Come regularly or just drop in as needed
  • Two points added to unit test grade if 4 or
    more sessions are attended during the unit.
  • Times and location to be announced next week.

7
The Math Lab hours for Spring semester are
Monday Thursday 1000 a.m. 700 p.m. Sunday
100 p.m. 600p.m.
The Math Lab is located on the fourth floor

of the Sturgis Library, Room 433
http//mathlab.kennesaw.edu
The calculator workshop schedule in the Math Lab

?
8
About the Homework Assignments
9
Textbook Assignments
10
Textbook Assignments
11
Problems will be assigned both from the textbook
and online from www.webassign.net. The problems
in the WebAssign homework assignments will
correspond to those assigned from the textbook.
You should not try the WebAssign problems until
you have done the problems assigned in the
textbook AND after we have had
a chance to answer questions about them
in class. The WebAssign assignments must be
completed by midnight on the day before the test
covering the material. Your solutions to the
problems assigned from the textbook should be
written and may be collected.
12

The cost at the KSU bookstore for the soft cover
textbook with the access code
for the on-line homework is 180.30. The cost of
a used textbook is 60.00 and the cost of the
access code is 69.05



13
www.webassign.net
14

kennesaw 8060 7711 for M-W 1100 class
kennesaw 2304 7947 for M-W 1230 class
kennesaw 3071 1744 for T-R 200 class
kennesaw 3420 2274 for T-R 330 class

15

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Harry Potter
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Harry Potter
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22
When in class, please refrain from using laptops
except perhaps to view more closely the
PowerPoint presentations.
23
NAME EMAIL ADDRESS MAJOR(S) - if none, write
undeclared LAST MATH COURSE TAKEN, WHERE (high
school, KSU, another college), HOW LONG
AGO ONE OR TWO THINGS ABOUT YOU THAT YOU WOULD
LIKE ME TO KNOW
24
At your favorite restaurant, the food is
excellent and the service terrific. Whenever you
pay the bill you leave a 20 tip for the servers
in addition to the 7 sales tax.
Write a formula that can be used to calculate the
total cost, T, at your favorite restaurant,
based on the menu price, P, of the food you
ordered.
T P .20P .07P
or T 1.27P
25
T 1.27P
This formula is an example of a function.
Because the Total cost depends on the Price
of the food ordered, we say Total cost is a
function of the Price of the food ordered or T is
a function of P.
26
T 1.27
P
(24.50)
31.115
Where T represents the total cost

and
P
represents the menu price of the food ordered.
What would your total cost be if the menu price
of the food was 24.50?
Answer The total cost would be 31.12
27
Because in this situation T is a function of P,
we often write T(P) instead of just T, and the
formula becomes T(P) 1.27P
This is read T of P equals 1.27P
Note T and T(P) represent the same thing in
this context. and are
interchangeable.
T(P) is referred to as functional notation
The total cost of a meal (including tax and tip)
for an order with a price of 18.95.
What is the value of T(18.95)?
24.0665
However, 24.07 would be more correct in this
context.
28
Another example
29
I want to fence in a rectangular garden next to a
wall of my house. I have a total of 20 yards of
chicken wire to use to construct the fence. I
only need to construct three sides of the
rectangle, since the wall of my house will serve
as the fourth side. Is there a formula
(function) for area of the garden in terms of the
width of the garden?
30
The function that represents area as a function
of width is A(W) where A area (in
square yds) and W width of the rectangle (in
yds)
1. What is the area of the garden when the
width is 4.1 yards?
48.38 sq yds
2. How can question 1 be rephrased using
functional notation?
What is A(4.1)?
3. Evaluate the formula at W 3.
42
4. Evaluate A(6).
48
31
At your favorite restaurant, the food is
excellent and the service impeccable. Whenever
you pay the bill you leave a 20 tip for the
servers in addition to the 7 sales tax.
TOWN GARAGE
The parking garage also charges
7.50 per hour for parking.
32
Homework 1 Read Pages 2 8 (top) and section
1.1 Do the following problems Page 12 S-1,
S-3, S-5, S-7, S-9, S-11, S-13 Page 32 S-1,
S-2, S-5, S-9, S-25 Page 33-37 3, 5, 6, 8, 16
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