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COURSE SYLLABUS Mathematics Content Refresher MPD502 PRE-CALCULUS Course Number Course Credits MPD502 60 recertification units / certificate Course Description: This course is designed for participants who need a refresher course in pre-calculus, or for new teachers who need insights, additional resources or a different perspective into the content taught in Pre-Calculus. Text: Pre-Calculus: A Graphing Approach, 4 th Edition. Demana, Waites, Clemens, Foley. Participants, however, may use any other Pre-Calculus text. Course Videos that contain approximately 20 hours of instruction are provided for the student. Also, four corresponding Practice Problem Sets are provided to each student on the course homepage in Moodle, the learning management system for all TeacherStep courses. Graphing Calculator: Participants are expected to use a graphing calculator. While participants may choose any graphing calculator, instruction and the suggested text will use the TI-83 equivalent. Knowledge and competence for use of other graphing calculators will be the sole responsibility of participants. Course Goals, Objectives & Outcomes 1. To refresh the participant s content knowledge in Pre-Calculus. 2. To initiate or revitalize participating teachers interest in Pre-Calculus. Course Requirements This course is delivered online via Moodle, though participants receive four Videos to view offline as well. Moodle provides the practice problems, a short quiz for each of the course sections and a cumulative Final Exam. 1. The participant must view the four Videos before taking the quiz. 2. Participants must also complete the four Practice Problem Sets that are provided, scan (or take a photo of) and submit their work in Moodle. Answer keys are provided, and professors are available for feedback as well. 3. Each of the four Videos / problem sets has an accompanying quiz posted, and the participant must complete each of these quizzes for grading in Moodle. 4. Participants will then complete a cumulative Final Exam in Moodle. www.teacherstep.com 1
Course Topics 1. Functions 2. Linear functions and graphs 3. Applied problems 4. Properties of functions from graphs 5. Solving equations graphically 6. Solving equations algebraically Section 1 Functions, Graphs and Solving Equations Section 2 Exponential, Logarithmic and Rational Functions 7. Composition of functions 8. Inverse functions 9. Quadratic functions 10. Polynomial functions of higher degree 11. Real zeros of polynomials 12. Fundamental Theorem of Algebra 1. Exponential functions 2. Logarithmic functions 3. Solving log and exponential equations algebraically 4. Solving log and exponential equations graphically 5. Applications 6. Asymptotes (rational functions) 7. Graphing rational functions 8. Partial fraction decomposition Section 3 Trigonometric Functions 1. Measuring angles 2. Trig functions (right triangle definition) 3. Trig functions (unit circle definition) 4. Evaluating trig functions 5. Graphing trig functions 6. Inverse trig functions 7. Trig identities 8. Trig formulas 9. Solving trig equations Section 4 More on Trig, Parametrics, Conics and Polar Equations 1. Laws of sines and cosines 2. Vectors 3. Complex numbers and nth roots 4. Parametric equations 5. Graphing parametric equations 6. Conic sections 7. Polar coordinates 8. Graphs of polar equations The Videos, the Practice Problem Sets and the Quizzes Begin the course by viewing Video #1, and then find Practice Problem Set #1 in Moodle, which covers the information presented in this video. The Practice Problem Set should then be printed and completed; you are encouraged to use your graphing calculator. Use additional sheets of paper as needed to show your work. Scan the practice sets and your work for these problems, and submit these in Moodle as a PDF, JPG or PNG. Answers to these questions are provided in Moodle for you to check afterwards. After completing Practice Problem Set #1, complete the Quiz #1 in Moodle. Repeat this process for the remaining three Videos, Practice Problem Sets and Quizzes. www.teacherstep.com 2
The Final Examination After completing the four quizzes, complete the Final Exam in Moodle in the presence of a library, school or university official or administrator. If you are unable to have one of these persons proctor your exam, contact the Course Instructor to explain your situation, and an alternative person will be identified. The Final Exam is a timed test, and you have 90 minutes to complete it. Please print, complete, and sign the Validation Statement which can be found in Moodle. Students must submit an electronic copy of the completed form within the online course immediately after the student has completed the examination. The submission link for this form is located in the Final Exam bucket. All correspondence with regard to the course, including the Final Exam, should be sent directly to the course professor.. After completing your course successfully, you will receive your certificate by email and will be asked to complete a course evaluation. Instructor Contact and Support At any time during the course you may contact the Course Instructor via email. Contact information is provided in Moodle on your course s homepage. The TeacherStep Student Advisor Office is available during business hours at (864) 308 1322 or anytime at http://www.teacherstep.com/help/. www.teacherstep.com 3
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