Math 1101 - Mathematical Modeling
Charles Koppelman
Office:
Mathematics and Statistics Building, Room 018
Phone:
470-578-2051
Email:
ckoppelm@kennesaw.edu
Website: http://math.kennesaw.edu/~ckoppelm
Office Hours: Monday & Wednesday 12:00 – 1:30
Other times by appointment
Be sure to go on D2L or on my website
(http://math.kennesaw.edu/~ckoppelm)
and download and print a copy of the syllabus.
We have been asked to keep copying to a minimum
and have been told not to print syllabi.
Please sign at the bottom of the last page of the
syllabus and bring it to class on Thursday.
I will collect your signed syllabus and return
it a week from today.
Textbook:
Functions and Change, Fourth Edition
by Crauder, Evans, and Noell
From the preface of the textbook:
or
soft cover
hard cover
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….
The cost at the KSU bookstore for the soft cover textbook with the access code
for the on-line homework is $184.05.
The cost of a used textbook is $60.00 and the cost of the access code is $69.05.
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
Graded homework assignments, group activities
Exit tickets
Final group project
Comprehensive final exam
Total
300 points
70 points (approximate)
40 points (approximate)
60 points
150 points
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.
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
Graded homework assignments, group activities
Exit tickets
Final group project
Comprehensive final exam
Total
300 points
70 points (approximate)
40 points (approximate)
60 points
150 points
620 points (approximate)
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.
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.
At the end of the semester, the two lowest ET grades will be dropped.
Supplemental Instruction
Taylor Belcher
tbelche4@kennesaw.view.usg.edu
• Free and voluntary study group
• Open to all Math 1101 students
• Come regularly or just drop in as needed
Supplemental Instruction
Taylor Belcher
tbelche4@kennesaw.view.usg.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.
In the spring semester, the Math Lab hours were
Monday – Thursday: 9:00 a.m. – 7:00 p.m.
Sunday: 1:00 p.m. – 6:00p.m.
The Math Lab is located on the fourth floor
of the Sturgis Library, Room 433
http://mathlab.kennesaw.edu
Test 1
Thursday, September 18
No class
Thursday, September 25
Last day to withdraw without penalty
Wednesday, October 8
Test 2
Thursday, October 16
Test 3
Thursday, November 6
No Class (Fall Break)
Tuesday, November 25
No Class (Fall Break)
Thursday, November 27
Last Day of Class – Final Project due
Thursday, December 4
Final Exam
To be announced
About the Homework Assignments
MATH 1101 ASSIGNMENTS – Fall, 2014
The textbook assignments listed below should be completed with
work shown. Some, but not all, of these written assignments may be
collected. The corresponding on-line WebAssign homework problems
should be completed after we have had an opportunity to review the
corresponding textbook problems in class. The WebAssign HW will be
due by midnight on the dates listed. Any handouts assigned for
homework will be collected during the class following the one in
which they are handed out.
Chapter Section
Problems
Page(s)
P
S 1,3,5,7,9,11,13
12
32-37
1
1.1
S 1,2,5,9,25; Exercises 3,5,6,8,16
Web
1.2
S 1,3,8,11,15; Exercises 1,7,8,10
52-56
Web
Assign
Assign
For
1.3
S 1–10; Exercises 2,5,11
75-79
for
Chapters
1.4
S 1,3,5,9,11; Exercises 1,4,11,12
97-101
1 and 2
2
2.1
S 8,12,17,23; Exercises 3,6,21
123-129 Chapters
1due
and
on2
2.2
S 3,9,12; Exercises 1,4,7,17
144-150
due
on
2.3
S 4,7,9,11; Exercises 3,7,13,18
163-168 Sept 17
Sept 17
2.4
S 1,5; Exercises 5,6
180-181
2.5
S 1,8; Exercises 2,18,19
196-201
Practice Test 1
221-224 Web
3
3.1
S 1,2,3,5,7,8; Exercises 1–5,7,13
Web
Assign
3.2
S 1,2,3,7,8,9,19,21; Exercises 1,8,11
239-242 Assign
3.3
S 1,2,3,17,18; Exercises 1,2,3,12
258-261 for
Chapter 33
3.4
S 1,3,5; Exercises 1,2,5,9
278-282 Chapter
due
on
on
3.5
S 11,12,16; Exercises 5,6,10
298-300
Oct
15
15
Practice Test 2
4
4.1
S 1–12; Exercises 1–4,13
322-324 Web
Web
Assign
4.2
S 8,10; Exercises 1,2,4,14
339-343 Assign
for
4.3
S 2,3,5,10,11; Exercises 1,5,6,19a,b,c,d
350-357 for
Chapter4 4
Chapter
Handout - Logartihms
4.4
dueonon
due
(no text or WebAssign HW for this section)
Nov5 5
Nov
Practice Test 3
All Homework for Chapter 5 will be handouts.
There are no textbook assignments and
no WebAssign for Chapter 5.
5
5.1- 5.6
The handouts will be collected during the class
following the one in which they are handed out.
Textbook exercises – section 2.4
2
2.1
S 8,12,19,23; Exercises 3,6,21
123-129
2.2
S 3,9,12; Exercises 1,4,7,17
144-150
2.3
S 4,7,11; Exercises 3,7,13,18
163-168
2.4
S 1,5; Exercises 5,6
180-181
2.5
S 1,8; Exercises 2,18,19
196-201
Textbook exercises – section 2.4
2
2.1
S 8,12,19,23; Exercises 3,6,21
123-129
2.2
S 3,9,12; Exercises 1,4,7,17
144-150
2.3
S 4,7,11; Exercises 3,7,13,18
163-168
2.4
S 1,5; Exercises 5,6
180-181
2.5
S 1,8; Exercises 2,18,19
196-201
MATH 1101 ASSIGNMENTS – Fall, 2014
The textbook assignments listed below should be completed with
work shown. Some, but not all, of these written assignments may be
collected. The corresponding on-line WebAssign homework problems
should be completed after we have had an opportunity to review the
corresponding textbook problems in class. The WebAssign HW will be
due by midnight on the dates listed. Any handouts assigned for
homework will be collected during the class following the one in
which they are handed out.
Chapter Section
Problems
Page(s)
P
S 1,3,5,7,9,11,13
12
32-37
1
1.1
S 1,2,5,9,25; Exercises 3,5,6,8,16
Web
1.2
S 1,3,8,11,15; Exercises 1,7,8,10
52-56
Web
Assign
Assign
For
1.3
S 1–10; Exercises 2,5,11
75-79
for
Chapters
1.4
S 1,3,5,9,11; Exercises 1,4,11,12
97-101
1 and 2
2
2.1
S 8,12,17,23; Exercises 3,6,21
123-129 Chapters
1due
and
on2
2.2
S 3,9,12; Exercises 1,4,7,17
144-150
due
on
2.3
S 4,7,9,11; Exercises 3,7,13,18
163-168 Sept 17
Sept 17
2.4
S 1,5; Exercises 5,6
180-181
2.5
S 1,8; Exercises 2,18,19
196-201
Practice Test 1
221-224 Web
3
3.1
S 1,2,3,5,7,8; Exercises 1–5,7,13
Web
Assign
3.2
S 1,2,3,7,8,9,19,21; Exercises 1,8,11
239-242 Assign
3.3
S 1,2,3,17,18; Exercises 1,2,3,12
258-261 for
Chapter 33
3.4
S 1,3,5; Exercises 1,2,5,9
278-282 Chapter
due
on
on
3.5
S 11,12,16; Exercises 5,6,10
298-300
Oct
15
15
Practice Test 2
4
4.1
S 1–12; Exercises 1–4,13
322-324 Web
Web
Assign
4.2
S 8,10; Exercises 1,2,4,14
339-343 Assign
for
4.3
S 2,3,5,10,11; Exercises 1,5,6,19a,b,c,d
350-357 for
Chapter4 4
Chapter
Handout - Logartihms
4.4
dueonon
due
(no text or WebAssign HW for this section)
Nov5 5
Nov
Practice Test 3
All Homework for Chapter 5 will be handouts.
There are no textbook assignments and
no WebAssign for Chapter 5.
5
5.1- 5.6
The handouts will be collected during the class
following the one in which they are handed out.
MATH 1101 ASSIGNMENTS – Fall, 2014
The textbook assignments listed below should be completed with
work shown. Some, but not all, of these written assignments may be
collected. The corresponding on-line WebAssign homework problems
should be completed after we have had an opportunity to review the
corresponding textbook problems in class. The WebAssign HW will be
due by midnight on the dates listed. Any handouts assigned for
homework will be collected during the class following the one in
which they are handed out.
Chapter Section
Problems
Page(s)
P
S 1,3,5,7,9,11,13
12
32-37
1
1.1
S 1,2,5,9,25; Exercises 3,5,6,8,16
Web
1.2
S 1,3,8,11,15; Exercises 1,7,8,10
52-56
Web
Assign
Assign
For
1.3
S 1–10; Exercises 2,5,11
75-79
for
Chapters
1.4
S 1,3,5,9,11; Exercises 1,4,11,12
97-101
1 and 2
2
2.1
S 8,12,17,23; Exercises 3,6,21
123-129 Chapters
1due
and
on2
2.2
S 3,9,12; Exercises 1,4,7,17
144-150
due
on
2.3
S 4,7,9,11; Exercises 3,7,13,18
163-168 Sept 17
Sept 17
2.4
S 1,5; Exercises 5,6
180-181
2.5
S 1,8; Exercises 2,18,19
196-201
Practice Test 1
221-224 Web
3
3.1
S 1,2,3,5,7,8; Exercises 1–5,7,13
Web
Assign
3.2
S 1,2,3,7,8,9,19,21; Exercises 1,8,11
239-242 Assign
3.3
S 1,2,3,17,18; Exercises 1,2,3,12
258-261 for
Chapter 33
3.4
S 1,3,5; Exercises 1,2,5,9
278-282 Chapter
due
on
on
3.5
S 11,12,16; Exercises 5,6,10
298-300
Oct
15
15
Practice Test 2
4
4.1
S 1–12; Exercises 1–4,13
322-324 Web
Web
Assign
4.2
S 8,10; Exercises 1,2,4,14
339-343 Assign
for
4.3
S 2,3,5,10,11; Exercises 1,5,6,19a,b,c,d
350-357 for
Chapter4 4
Chapter
Handout - Logartihms
4.4
dueonon
due
(no text or WebAssign HW for this section)
Nov5 5
Nov
Practice Test 3
All Homework for Chapter 5 will be handouts.
There are no textbook assignments and
no WebAssign for Chapter 5.
5
5.1- 5.6
The handouts will be collected during the class
following the one in which they are handed out.
About the On-Line Homework
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.
www.webassign.net
kennesaw 4744 4012 for 11:00 class
kennesaw 4604 4112 for 2:00 class
kennesaw 7226 1354 for 3:30 class
wizard1
Valdemort1
Valdemort1
Harry
Potter
Potter@hogwarts.com
wizard1
kennesaw
valdemort1
When in class, please refrain from using laptops except
perhaps to view the PowerPoint presentations more closely.
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 (including drinks) you ordered.
T = P + .20P +.07P
or
T = 1.27P
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.
T = 1.27P(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
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
is read
“T as
oftheP
equals
1.27P”
Note: T and
T(P)
represent
same
thing
in this context.
T(P) isThis
referred
to
functional
notation
and are interchangeable.
What is meant by T(18.95)?
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.
Another example
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?
The function that represents area as a function of width is
A(W) = 20W  2W 2
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 4.2 yards?
48.72 sq yds
The function that represents area as a function of width is
A(W) = 20W  2W 2
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 4.2 yards?
48.72 sq yds
2. How can question 1 be rephrased using functional notation?
3. Evaluate the formula at W = 3.
4. Evaluate A(3).
What is A(4.2)?
42
42
5. Can you guess at the maximum possible area that the garden
can have?
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.
The parking garage also charges
$7.50 per hour for parking.
TOWN GARAGE
1. Express the total cost, T(P,H), as a function of the variables P (price of
food) and H (number of hours car is parked).
2. What is meant by T(28,3)?
3. What is the value of T(28,3)?
$58.06
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
Use a calculator – Check your answers
in the back of the text.
and PRINT and SIGN last page of the syllabus
MATH 1101 ASSIGNMENTS – Fall, 2014
The textbook assignments listed below should be completed with
work shown. Some, but not all, of these written assignments may be
collected. The corresponding on-line WebAssign homework problems
should be completed after we have had an opportunity to review the
corresponding textbook problems in class. The WebAssign HW will be
due by midnight on the dates listed. Any handouts assigned for
homework will be collected during the class following the one in
which they are handed out.
Chapter Section
Problems
Page(s)
P
S 1,3,5,7,9,11,13
12
32-37
1
1.1
S 1,2,5,9,25; Exercises 3,5,6,8,16
Web
1.2
S 1,3,8,11,15; Exercises 1,7,8,10
52-56
Web
Assign
Assign
For
1.3
S 1–10; Exercises 2,5,11
75-79
for
Chapters
1.4
S 1,3,5,9,11; Exercises 1,4,11,12
97-101
1 and 2
2
2.1
S 8,12,17,23; Exercises 3,6,21
123-129 Chapters
1due
and
on2
2.2
S 3,9,12; Exercises 1,4,7,17
144-150
due
on
2.3
S 4,7,9,11; Exercises 3,7,13,18
163-168 Sept 17
Sept 17
2.4
S 1,5; Exercises 5,6
180-181
2.5
S 1,8; Exercises 2,18,19
196-201
Practice Test 1
221-224 Web
3
3.1
S 1,2,3,5,7,8; Exercises 1–5,7,13
Web
Assign
3.2
S 1,2,3,7,8,9,19,21; Exercises 1,8,11
239-242 Assign
3.3
S 1,2,3,17,18; Exercises 1,2,3,12
258-261 for
Chapter 33
3.4
S 1,3,5; Exercises 1,2,5,9
278-282 Chapter
due
on
on
3.5
S 11,12,16; Exercises 5,6,10
298-300
Oct
15
15
Practice Test 2
4
4.1
S 1–12; Exercises 1–4,13
322-324 Web
Web
Assign
4.2
S 8,10; Exercises 1,2,4,14
339-343 Assign
for
4.3
S 2,3,5,10,11; Exercises 1,5,6,19a,b,c,d
350-357 for
Chapter4 4
Chapter
Handout - Logartihms
4.4
dueonon
due
(no text or WebAssign HW for this section)
Nov5 5
Nov
Practice Test 3
All Homework for Chapter 5 will be handouts.
There are no textbook assignments and
no WebAssign for Chapter 5.
5
5.1- 5.6
The handouts will be collected during the class
following the one in which they are handed out.