This syllabus outlines the course Math 205 Functions and Modeling for Secondary Mathematics Instruction which covers topics including functions, modeling, complex numbers, and geometry through classroom activities, labs, homework, and 4 exams. The course aims to strengthen students' content knowledge of secondary math topics and demonstrate proficiency with technology in the mathematics classroom. Grades are determined by tests, assignments, labs, participation, a midterm project, and a final exam comprehensive of the semester's material.

1. Syllabus Math 205
Functions and Modeling
for Secondary Mathematics Instruction
Fall 2012
College of Education Health and Human Sciences Vision: is one that aspires to achieve
extraordinary results in the areas of learning, research, outreach, diversity and enrichment of quality of
life.
College of Education Health and Human Sciences Mission: to promote a healthy, educated, and
civil society; to encourage life-long learning; and to enhance the quality of life within the diverse, global
community by preparing professionals to lead and serve, by conducting research and by engaging in
service and outreach activities.
CRN: Section: Days: Time: Location:
48305 1 MWF 1:25-2:15 pm Greve 107
Instructor: Jeneva Moseley Office: Ayres 230 Email: jmoseley@math.utk.edu
Office Phone: (865) 974-3708 Cell Phone: (865) 924-4133
Office Hours: (1) MWF, 7:00-7:50 am, in Hoskins 110C
(2) MWF, 9:05-9:55 am, by appointment
(3) MWF, 11:15 am- 12:05 pm, by appointment
(4) MWF, 2:30-3:30 pm, by appointment
Course Description: In this course, you will engage in explorations and lab activities designed to
strengthen and expand your knowledge of the topics found in secondary mathematics. Course activities
are designed to have you take a second, deeper look at topics you should have been exposed to previously;
illuminate the connections between secondary and college mathematics; illustrate good, as opposed to
typically poor, sometimes counterproductive, uses of technology in teaching; illuminate the connections
between various areas of mathematics; and engage you in serious (i.e., non-routine) problem solving,
problem-based learning, and applications of mathematics.
The course consists of four units: 1) Functions, 2) Modeling, 3) Overlooked Topics and Explorations, and
4) Geometry of Complex Numbers. Specific topics of investigation include function properties and
patterns, complex numbers, parametric equations, polar equations, vectors, and exponential growth and
decay. Explorations involve the use of multiple representations, transformations, data analysis
techniques (such as curve fitting) and interconnections among topics in algebra, analytic geometry,
statistics, trigonometry, and calculus. The lab investigations include use of various technologies including
computers, calculators, and computer graphing software.
3 credit hours.

2. Course Prerequisites: Math 142 or Math 148
Student Learning Expectations/Outcomes for the Course:
Students will be able to… Evidence of Student Learning:
demonstrate a depth of content knowledge with  classroom activities, student
regard to important secondary mathematics topics presentation of findings,
such as parametric relations, polar relations, assessments, and classroom
matrices, exponential and logarithmic functions, performance
vectors, and complex numbers.
generate or work with relevant lab or exploration  classroom activities and classroom
data and use regression, matrix, function pattern, lab write up
and systems methods to generate a model the data.
present mathematical ideas and topics in a  classroom presentations of findings
knowledgeable and effective manner. and classroom performance
demonstrate proficiency in the use of technology in  classroom activities, labs,
the mathematics classroom. assessments, and classroom
performance
identify mathematics content connections between  classroom activities, student
the various levels of secondary mathematics presentation of findings, and
curriculum and between secondary and university classroom performance
level curriculum.
Expectations
1. You are expected to attend every class.
2. You are expected to come prepared to actively participate in class discussions (do the assigned
readings and problem sets).
3. You should attempt all assigned problems and show all work in order to receive full credit.
4. You are expected to check your e-mail regularly for announcements.
Required Materials: Calculator: TI-83/84/Inspire.
Disability Services: If you need course adaptations or accommodations because of a documented
disability or if you have emergency information to share, please contact the Office of Disability Services at
2227 Dunford Hall at 974-6087.
Math Tutorial Center: The Math Tutorial Center is in Ayres Hall B012. It provides free tutoring.
Hours of operation are posted at http://www.math.utk.edu/MTC/. Please make use of this free service.

3. Course Outline:
Class Tentative Topic List
Unit 1: Functions, Rates, Patterns & More…
Function Definition(s)
Roots of a Quadratic (Real & Complex)
Qualitative Graphing
Conic Sections
Spring Mass Lab
Sequences
Difference Columns
Test #1
Unit 2: Modeling
Modeling Functions and Linear Regression
Regression and Residuals
Modeling Functions with Matrices
Terminal Speed Lab
Test #2
Unit 3: Overlooked Topics and Explorations
Parametric Models
Parametric Explorations
Polar Coordinate System
Exponential/Logistic Models
Vector Lab
Test #3
Unit 4: Geometry of Complex Numbers
Geometry of Complex Numbers
Polar Complex Numbers
Mandelbrot Set
Wrap-up and Review
Test #4
Assessment of Student Learning Outcomes: Grades will be determined using the grading scale
below. Your letter grade is a measure of your mastery of course material and your fulfillment of course
objectives. You should keep all of your graded work until final grades are posted.
Percent of
Assessments: Final
Grade
Tests – There will be four exams to test your knowledge of the concepts we are
40%
currently discussing in class.
Journal, Labs, and Homework – You will keep a journal recording your thinking.
You will make lab reports after we do in-class labs. You will complete homework 30%
assignments.
Attendance & Participation – Attendance is vital. You are expected to be an active
5%
participant in the course.
Midterm Project - You will be given more details about the midterm project. 10%
Final Exam – The comprehensive exam will cover material from throughout the
15%
semester.
Total Percentage Possible 100%

4. Grading Scale: 90% ≤ A ≤ 100% 76% ≤ C < 78%
87% ≤ A– < 90% 74% ≤ C– < 76%
84% ≤ B+ < 87% 72% ≤ D+ < 74%
82% ≤ B < 84% 71% ≤ D < 72%
80% ≤ B– < 82% 70% ≤ D– < 71%
78% ≤ C+ < 80% F < 70%
Final Exam: The comprehensive final exam date and time: 2:45 p.m. – 4:45 p.m. Wednesday, Dec. 12.
All students are required to take the final exam. You need to plan ahead for the date and time of your
final exam, especially regarding travel arrangements.
Attendance & Make-up Policy: Attendance is vital to your success in this class. Make-up exams will
only be given for approved school functions, unforeseen illness or emergencies (verifiable). If you will be
absent due to a school function you must schedule the make-up work in advance. All petitions for make-
up exams (through e-mail or by phone) must be made within 24 hours of the missed class period. Make-up
exams must be taken before the graded exams are returned. If you miss a non-exam class session, you
should also use the materials that can be found on Blackboard and do your best to figure out what content
you missed (by office hours, by tutorial help, by textbook, or by reliable classmate).
Important Dates:
Add/drop without W deadline August 31
Labor Day (no class) September 3
Fall Break (no class) October 11-12
Drop with W deadline November 13
Thanksgiving Holiday (no class) November 22-23
Last day of class December 4
Final Exam 2:45 p.m. – 4:45 p.m. Wednesday, Dec. 12
Classroom Etiquette: Please be considerate of the instructor and those around you. Come to class on
time and stay the entire period. Turn off cell phones and beepers during class. Do not talk to classmates
at inappropriate times. Refrain from reading newspapers or working on other coursework during class.
For information on Classroom Behavior Expectations and consequences of non-compliance please see the
following link: http://www.math.utk.edu/Courses/Expectations.pdf
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.