Math 113  Spring 2013 
Mathematical Reasoning 
Section 
Class
Time 
Room
Number 
20270
005 
MWF
10:1011:00 
HSS
108 
20271
006 
MWF 11:1512:05 
HSS 108 
20278
0013 
MWF
12:201:10 
HSS 108 
It
is best to contact me via email.
Please
write the course and section # on the “subject” line
Email: dstein@math.utk.edu





1:303:10  1:303:10  1:303:10 
I. Course
Description: (3 credit hours) Classical and modern
topics in number theory, geometry,
and probability with an emphasis on problem solving. This includes
consumer mathematics
and other realworld applications.
II. VALUE PROPOSITION/COURSE GOALS: At the end of this course, you will be able to: demonstrate an ability to analyze and connect mathematical logic and math concepts illustrating related thinking in today's society.
III
Behave as respectful adults in the classroom. For
more information go to:
V. Texts/Materials/resources
for the Course:
Textbook:
The
Heart of Mathematics by
Burger and Starbird, 3'rd edition, Wiley
Publishers.
Textbook Companion Website: http://www.heartofmath.com
OTHER
REQUIRED MATERIALS:
include a CLICKER,
calculator, small ruler, scissors, tape.
VI. Information
Resources: Course Information,
Schedules, assignments, required
videos, lessons, projects and handouts are posted on BLACKBOARD under
your 113
course site. All information for our class is filed under appropriately
labeled
buttons. To access notes required for
class go to the "notes/handouts" button and print out the
appropriate section listed on the syllabus before each class. You will
be
notified beforehand of any videos and review material you need to
access. The
syllabus, exam schedule, calendar, scheduling, and homework are all
posted
within our blackboard site.
VII. Course
Requirements, Assessment and Evaluation Methods:
Quizzes
&
Projects:
(20%)
There
are NO makeups for quizzes under any circumstances. We
will try to have a quiz each class
period using clickers. Attendance is required to take the quizzes. All
the
quizzes will be of varying points. Included with the quiz grades are
the
projects some to be done during class and others to be turned in at at designated time.
Exams: (20% each) A total of
four exams are given in the semester. There are NO makeups! Do
not miss
an exam. No exam grades are dropped. Makeup exams are only allowed due
to a
severe illness, death in the family, or a required University activity.
You
must have a written excuse.
Final: (
20%) The
final exam is comprehensive (covers
"all" material.). The final exam is mandatory for all
students. Students who miss the final without securing permission ahead
of time
will fail the course. ALL STUDENTS ARE REQUIRED TO TAKE THE FINAL EXAM.
If
you do not show up to take the final exam you shall receive an "F"
in the course. The final exam times are listed at the bottom of
the syllabus.
Grading Scale: 

Exam 1 
20% 

90  100 % 
A 
Exam 2 
20% 

87  89 % 
A  
Exam 3 
20% 

83  86 % 
B + 



80  82 % 
B 



77  79 % 
B  
Projects,
Quizzes 
20%


73  76 % 
C + 



70  72 % 
C 
Final Exam 
20% 

67  69 % 
C 



63  67 % 
D+ 
Total Percentage Points 
100% 

57  63 % 
D 



56 % and below 
F 
**
Through the semester, you will be given extra credit opportunities
based on attendance and work on projects/quizzes.
VIII. COURSE
FEEDBACK:
PLEASE
fill out the SAIS (online) forms near
the end of the semester. I base my teaching on your feedback and
success in my
course. It is very important to me that you succeed in my class and
finish your
degree here at the University.
IX. Students
with
Disabilities Policy:
Any student who feels s/he may need
an accommodation based on the impact of a disability
should contact
me privately to discuss your
specific needs. Please contact the Office of
Disability Services at
865 9746087 in 2227 Dunford Hall to
coordinate
reasonable
accommodations
for students with documented
disabilities.
X. Assignments/units
of Instruction
Date: 
section 
Tentative Topic & homework
problems.
(Assignments and subject matter may vary due
to time constraints). 
W,1/9 
1.11.4, 
Read the syllabus before our first class. Stories. pp 3336: # 1, 3, 8, 9, 13 
F,1/11 
2.1 
Counting and
Pigeonhole principle. pp 5860: # 1,
2, 5, 8, 15, 19 
M,1/14 
2.2 
Fractions and
Fibonacci Numbers. pp 7071: # 2, 3, 4, 5 
W,1/16 
2.2 
Fibonacci
Numbers. pp 7175: # 6, 7, 17, 28,
30 
F,1/18 
2.3 
Prime Numbers. pp 9295: # 1, 2, 3, 4, 5, 7, 12, 14,
32, 
M,1/21 
* 
MLK, HOLIDAY 
W,1/23 
2.4 
Modular Aruithmetic. pp
106109: # 1, 2, 3, 4, 5, 7, 26, 27 
F,1/25 
2.5 
Codes. pp
126127: # 1, 2, 5, 7 •WATCH VIDEO, PREVIEW 
M,1/28 
2.6 
Irrational
Numbers. p 138141: # 1, 2, 3, 4, 5, 6, 10, 30 
W,1/30 
2.7 
Real
numbers. pp 154155: # 1, 2, 3,
4, 5, 10, 19, 20,21, 22, 23, 25, 36 
F,2/1 
Review 
Review For Test
# 1 •
watch the review 
M,
2/4 
#1 
Test # 1 
W,2/6 
3.1  3.2 
Infinity. pp 163165: # 1, 3, 6, 8, 14 
F,2/8 
3.3 
Different Sizes
of Infinities. pp 191194: #, 1 ,2, 3, 4,
5, 9, 11, 13, 16 
M,
2/11 
4.1 
Pythagorean
Theorem. pp 237240: # 1, 2, 3, 4, 5, 6,
12, 15 
W,2/13 
4.1 
Pythagorean
Proofs. pp 237242: # 23, •
watch the review 
F,2/15 
4.2 
Art Gallery
Theorem. pp 254 257: # 1, 2, 3, 4, 5, 9,
11, 20 
M,2/18 
4.3 
Golden
Rectangle. pp 271273: # 1, 3,
9, 12, 13, 16 
W,
2/20 
4.4 
"Preview" Pinwheel
Triangle 2.
Class Project . BRING PRINT OUT TO CLASS to
create pinwheels. 
F,2/22 
4.4 
Symmetry ,Tilings
crystal Art. p: 291292: # 2, 3, 6, 8, 10 
M,2/25 
4.4 
Mathematical Tilings. pp:
292296: # 12, 16, 21, •study
review 
W2/27 
4.5 
The Platonic Solids. p 314317: # 1, 2, 3, 4,
5, 7, 9, 21 and 22 for tetrahedron 
F, 3/1 
4.5, 5.4 
The Platonic
Solids and the Euler Characteristic. pp
419: # 1, 2, 3, 4, 
M, 3/4 
5.4 
Eulerr
Characteristic, Five Platonic Solids. pp
419423: # 5,
7, 10, 13, 26, 29, 30 
W, 3/6 
Review 
Review For Test
# 2 
F,
3/82 
#
2 
Test
# 2 1 • watch the review 
W,
3/13 
5.5 
Knots and Links.
pp 435 438: # 1, 2, 3, 14, 15,
19, 20, 21 
F,3/15 
5.1 
Contortions of
Space, Equivalence by distortion pp
371375: 1, 3, 4, 7, 9, 11, 17, 18, 25, 26, 27 
M,3/18 
6.16.2 
Images of Fractals. p
464465: # 2, 5, 6, 9 •Watch video on creating
3Dimensional Fractals 
W,10/20 
6.3 
4.
Class Project,
Fractals in Space, Fractal Cuts 
F, 3/22   F, 3/29  Spring Break and Spring recess 
M, 4/1 
6.4 
Imaginary
numbers and Fractals. pp526527: # 1,2,3,4,5,6,7,12, 25, 29 and 30 use
algebra for 9,10 
W, 4/3 
6.5 
The game of life
and changing populations. p 543544: # 1, 2, 13,14 
F, 4/5 
6. 5 
The
game of life and changing populations. p 543544: # 1,
2, 13,14 
M,4/8 
7.2 
Predicting the
Future. p 599601: # 1, 2, 3, 4, 5, 10, 12 
W,4/10 
7.2 
Using
Probability to predict the future. pp
601602: # 13, 16, 20, 25, 26, 27, 28 
F4/12 
Review 
Review for Test
# 3 1 •
watch the review 
M,11/19 
#
3 
Test
# 3 
W,4/17 
9.3 
Financial Math.
p 846848: # 1, 2, 3, 6, 8, 9, 10, 12 
F,4/19 
9.3 
Financial Math. pp 846848: Problems in class
and worksheets. 
M,
4/22 
9.3 
Financial Math.
p 848849: # 15, 17, 18, 19, 20 
W,
4/24 
9.3 
Financial
Math. Problems in class and worksheets.

F,
4/26 
Final 
Review
for Mandatory Final exam. BRING ALL OLD EXAMS TO CLASS 
Study
Period, 

See 
Final
Exam 
Comprehensive
Final. All students must take the Final Exam. 
Important Dates for
the fall: Last Day to Add
classes: Monday, August 27, 2012 Last Day to drop with a W: Tuesday, November 13, 2012

HOW
TO BE SUCCESSFUL IN THIS CLASS:

Study
Hints: 
1. 
Spend at least
one hour each evening after class studying the material we covered in
class that day. 
2. 
Use all
information posted for you on blackboard study the lessons, handouts
and videos 
3. 
Take notes when
required and actively participate in group work. 
4. 
Do not miss
class unless it is an emergency. 
5. 
It is your responsibility to get the notes from another student if you miss class EXCHANGE PHONE NUMBERS WITH AT LEAST 3
OTHER STUDENTS IN THE CLASS. 
6. 
When studying
for a test, practice each kind of problem until you are confident with
the material. 
7. 
If you are
confused in class please ASK QUESTIONS. I will gladly
help you. 
8. 
Please come to
my office when you need extra help. 
9. 
Hand in all assignments on time. 

EXAM
Hints: 
1. 
The night before
the exam give yourself a "practice" test with one of each kind of
problem. Watch
and/or read all review materials. 
2. 
Get to class
early the day of the exam. This will help you to be relaxed. 
3. 
Begin with the
easiest problems or the ones that you feel most confident with. 
4. 
Show all steps
of your work. You have a better chance for partial credit if you show
all work. 
5. 
Write neatly. I can not give partial credit for what I can't
read. 
6. 
If you get stuck
on a problem, skip the problem, go on to the next one and come back to
it later. 
7. 
If you mind goes
blank: * take
a deep breath. * Stretch your muscles. * Close your eyes
for a minute and relax. 
XIII. University Policies:
Academic
Standards of Conduct
(from
"Hill topics: Student Handbook," All
students are expected to abide by the University Honor Statement. In mathematics classes, violations of the
honor statement include copying another person's work on any graded
assignment
or test, collaborating on a graded assignment without the instructor's
approval, using unauthorized "cheat sheets" or technical devices such
as calculators, cell phones or computers for graded tests or
assignments, or
other infractions listed in "Hill topics". These
violations are serious offenses,
subject to disciplinary action that may include failure in a course
and/or dismissal
from the University. The instructor has
full authority to suspend a student from his/her class, to assign an
"F" in an exercise or examination, or to assign an "F" in
the course. See "Hill topics" for more complete information. A report
of all offenses will be sent to appropriate deans and the Office of
Student
Judicial Affairs for possible further action.
The
Honor Statement: An essential feature
of the
University of Tennessee is a commitment to maintaining an atmosphere of
intellectual integrity and academic honesty. As a student of the
University, I
pledge that I will neither knowingly give nor receive any inappropriate
assistance in academic work, thus affirming my own personal commitment
to honor
and integrity.
THE
INSTRUCTOR RESERVES THE RIGHT TO REVISE, ALTER AND/OR AMEND THIS
SYLLABUS, AS NECESSARY. STUDENTS WILL BE
NOTIFIED IN WRITING AND/OR BY EMAIL OF ANY SUCH REVISIONS, ALTERATIONS
AND/OR
AMENDMENTS.