Syllabus Math 205 Functions and Modeling for Secondary Mathematics Instruction Fall 2012College of Education Health and Human Sciences Vision: is one that aspires to achieveextraordinary results in the areas of learning, research, outreach, diversity and enrichment of quality oflife.College of Education Health and Human Sciences Mission: to promote a healthy, educated, andcivil society; to encourage life-long learning; and to enhance the quality of life within the diverse, globalcommunity by preparing professionals to lead and serve, by conducting research and by engaging inservice 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: email@example.com 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 appointmentCourse Description: In this course, you will engage in explorations and lab activities designed tostrengthen and expand your knowledge of the topics found in secondary mathematics. Course activitiesare 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 totypically poor, sometimes counterproductive, uses of technology in teaching; illuminate the connectionsbetween 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, and4) Geometry of Complex Numbers. Specific topics of investigation include function properties andpatterns, complex numbers, parametric equations, polar equations, vectors, and exponential growth anddecay. Explorations involve the use of multiple representations, transformations, data analysistechniques (such as curve fitting) and interconnections among topics in algebra, analytic geometry,statistics, trigonometry, and calculus. The lab investigations include use of various technologies includingcomputers, calculators, and computer graphing software.3 credit hours.
Course Prerequisites: Math 142 or Math 148Student 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 documenteddisability or if you have emergency information to share, please contact the Office of Disability Services at2227 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.
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 #4Assessment of Student Learning Outcomes: Grades will be determined using the grading scalebelow. Your letter grade is a measure of your mastery of course material and your fulfillment of courseobjectives. 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%
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 yourfinal exam, especially regarding travel arrangements.Attendance & Make-up Policy: Attendance is vital to your success in this class. Make-up exams willonly be given for approved school functions, unforeseen illness or emergencies (verifiable). If you will beabsent 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-upexams must be taken before the graded exams are returned. If you miss a non-exam class session, youshould also use the materials that can be found on Blackboard and do your best to figure out what contentyou 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. 12Classroom Etiquette: Please be considerate of the instructor and those around you. Come to class ontime and stay the entire period. Turn off cell phones and beepers during class. Do not talk to classmatesat 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 thefollowing link: http://www.math.utk.edu/Courses/Expectations.pdfAcademic 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 persons work on any graded assignment ortest, collaborating on a graded assignment without the instructors approval, using unauthorized "cheatsheets" 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 disciplinaryaction that may include failure in a course and/or dismissal from the University. The instructor has fullauthority to suspend a student from his/her class, to assign an "F" in an exercise or examination, or toassign an "F" in the course. See "Hilltopics" for more complete information. A report of all offenses willbe 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.