| Departmental
Syllabus For: Mathematics 113 Mathematical Reasoning
|
Department of Mathematics 227 Ayres Hall The
University of Tennessee |
Text: The Heart of Mathematics 3/e by Burger and Starbird
Textbook Companion Website: http://www.heartofmath.com.Course Description: Classical and modern topics in number theory, logic, geometry, and probability with emphasis on problem solving, consumer mathematics and other real-world applications. This is a 3 credit hour course. Math 113 is designed to fulfill general education requirements for students whose majors do not require a specific math class.
Classroom Etiquette:
While
in the classroom you are expected to behave as adults. Do
not come to class late or leave early. Turn off cell phones, iPods,
laptops and
beepers during class. Refrain from reading newspapers or other course
material
during lecture. Do not text message during class. Do not talk at
inappropriate
times to other students during class lecture. If your
behavior is
deemed to be inappropriate, you will be asked to leave the classroom.
UT Academic Calendar 2012-2013 |
||
| Fall 2012 Semester | ||
| Classes Begin | Wednesday | August 22 |
| Labor Day | Monday | September 3 |
| Fall Break | Thursday-Friday | October 11-12 |
| 1st Session Ends | Friday | October 10 |
| 2nd Session Begins | Monday | October 15 |
| Thanksgiving | Thursday-Friday | November 22-23 |
| Classes End | Tuesday | December 4 |
| Study Day | Wednesday | December 5 |
| Exams | Thursday-Thursday | December 6, 7, 10, 11, 12, 13 |
| Graduate Hooding | Thursday | December 15 |
| Commencement | Friday | December 9 |
| SPRING 2013 | ||
| Classes Begin | Wednesday | January 9 |
| MLK Holiday | Monday | January 21 |
| Spring Break | Friday-Thursday | March 22-28 |
| Spring Recess | Friday | March 29 |
| Classes End | Friday | April 26 |
| Study Days | Monday | April 29 |
| Final Exams | Tuesday-Tuesday | April 30, May 1, 2, 3, 6, 7 |
| Graduate Hooding | Thursday | May 9 |
| Commencement | Wednesday-Friday | May 8 - 10 |
The schedule plans 32 of the 43 days of instruction for classes which meet three days per week (abbreviated as MWF) and 22 of the 28 days for classes which meet twice a week (abbreviated as TR). The remaining days can be used for exams, review, extra coverage of topics in this syllabus, extra topics from the book, departmental business, or other activities the teacher feels are of value to the class.
|
M,
W, F
Class |
|
|
Grading |
Scale |
|
|
Percentage
of Grade |
|
Grading
Scale as a percentage |
Letter
Grade |
|
Exam
# 1 |
15% |
|
90 - 100% |
A |
|
Exam
# 2 |
15% |
|
87 - 89% |
A
- |
|
Exam
# 3 |
15% |
|
83 - 87% |
B
+ |
|
Exam
# 4 |
15% |
|
80 - 82 % |
B |
|
|
|
|
77 - 79 % |
B
- |
|
Projects,
Written Work, |
|
|
73 - 76 % |
C
+ |
|
Quizzes,
Attendance, |
This
total = 20% |
|
70 - 72 % |
C |
|
and
Other |
|
|
67 - 69 % |
C
- |
|
|
|
|
63 - 66 % |
D
+ |
|
Final
Exam |
20% |
|
57 - 62 |
D |
|
|
|
|
56 and below |
F |
|
T,
R
Class |
|
|
|
Percentage
of Grade |
|
Exam
# 1 |
20% |
|
Exam
# 2 |
20% |
|
Exam
# 3 |
20% |
During the semester (in addition to the final exam), there should be three exams for classes that meet twice a week and four exams for classes that meet three times a week. Homework assignments should be based on this syllabus. Teachers may choose how to organize the homework (as short daily assignments, as longer problem sets, or in some other form) and to what extent it is graded or otherwise evaluated. Problems numbered 1–5 are very basic checks of concrete concepts; those numbered 6 and higher should be the focus of the assignments. The most in depth problems are indicated in bold on this syllabus.
Project(s) may be included in this course. The project(s) can be a structured activity where students write a paper (and possibly create a poster) planning a section of the textbook not covered in class or it can be an open-ended assignment in which the students demonstrate their understanding of a mathematical idea through scholarly or creative means. Other written assignments are also possible, including creating 3 dimensional platonic solids.
Extra Help:
The Math Tutorial Center
provides
free tutoring. Location: Temple
court 101 and 109.
The hours of
operation are posted at http://www.math.utk.edu/MTC/
.
Disability Services: If
you need extra help due to
a disability please contact the Office of Disability Services at 2227
Dunford
Hall. Phone: 974-6087
Student ID: You
must have your student ID when taking exams.
Final Exam: The
comprehensive final Exam
is mandatory for all students. If you do not take the final exam, you
will
receive an "F" in the course
|
Suggested
topics and Problems |
TOPICS
WILL VARY according to
Instructor |
|
Problem Solving:
Chapter 1 Topic
problem
solving
Problem
solving can be supplemented with additional materials. |
(MWF: up to 2
classes,
TR: up to 2 classes) Homework
problems Write up instructors solutions to 4 pbs |
|
Chapters:
2.1–2.3, 2.6–2.7 Topic counting and pigeonhole principle Fibonacci numbers prime numbers irrational numbers real numbers Optional:
To spend more time on this topic, cover 2.4 and/or 2.5 |
(MWF: 7 classes, TR:
5
classes) Homework
problems 2.1: 1, 2, 3,
8, 12,15, 19 2.2: 1, 2, 3,
4, 6,
7, 9,16,17, 28, 30, 37, 38 2.3: 1–5,
6, 7, 12, 14, 15, 25, 30, 32, 35, 40 2.6: 1–5,
6, 8, 10, 12, 15, 21, 22, 26, 30 2.7: 1–5,
7, 10, 14, 15, 16, 20-23, 25, 36, 37 |
|
Infinity:
3.1–3.3 Topic What is infinity? one-to-one correspondences different sizes of infinities Optional:
cover 3.4 (power set) and/or 3.5 (geometrical interpretations). |
(MWF: 4 classes, TR:
3 classes) Homework
problems 3.1: 1, 2, 3,
8, 12,
14, 15, 16, 19, 20 3.2: 1, 2, 6,
11, 14, 16, 26, 34 3.3:
1–5, 9, 10, 11, 14, 16, 18, 23 |
|
Geometry 1:
4.1–4.4, 4.7 Topic Pythagorean Theorem Art Gallery Theorem Golden rectangle symmetry and tilings Platonic solids fourth dimension (optional) Optional:
cover 4.6 (non-Euclidean geometry). |
(MWF: 7 classes, TR:
4 classes) Homework
problems 4.1: 1–5,
6, 7, 8, 12, 14, 15, 17, 18, 22 4.2: 1–5,
6, 7, 9, 11, 14, 15, 19, 20 4.3: 1–5,
6, 9, 12, 13, 16, 17, 22 4.4: 1, 2, 5,
6, 8, 10,
12, 13, 16, 18, 19 4.5: 1–8,
10, 14,16, 21 4.7: 1–5,
7, 11, 12, 16, 18 |
|
Geometry 2:
5.1–5.2, 4.5, 5.3 Topic rubber sheet geometry nonorientable surfaces Euler
characteristic |
(MWF: 6 classes, TR:
4 classes) Homework
problems 5.1: 3, 4, 6,
9–12, 31, 38 5.2: 1–4,
8, 9, 14, 25, 33, 36 5.3: 1–5,
7, 9, 13, 26, 40 |
|
Decision Making and
Finances: 8.2, 8.3 Topic Risk financial math (including handouts) Optional:
cover 8.4 (voting) |
(MWF 6 classes, TR: 4
classes) Homework
problems 8.2: 1–5,
6, 10, 11, 13, 15, 17, 20, 21, 22 8.3: 1–3,
7, 8, 9, 11, 12, 15, 16, 19, 21 |
|
Academic Standards of
Conduct: |
|
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 "Hilltopics".
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 "Hilltopics"
for more
complete information. A report of all offenses will be sent to
appropriate deans and the Office 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. |