Math 1280/1300, PreCalculus


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1 Math 1280/1300, PreCalculus Instructor: Office: Office Hours: Phone: MyMathLab Course Code: Text and Materials: ISBN: Author: Blitzer Title: Precalculus, Books a la Carte Edition Package Bowling Green State University, 5/e A graphing calculator is also required, preferably a TI83 or TI84. MyMathLab: MyMathLab is an online program that you are required to use to complete your assignments. Access to MyMathLab requires an access code. If you purchase a new textbook from any Bowling Green bookstore, an access code will be bundled with the book. If you choose not to buy the textbook, you may purchase access to MyMathLab from the website For technical assistance with MyMathLab, contact (Technical issues involve MyMathLab not working properly. Questions regarding how to complete a math question should be addressed with your teacher.) Course Aim: The course aim is to give students the necessary algebraic and trigonometric skills to be successful in Calculus. This class will also help develop mathematical thinking and communication skills. Topics Covered: Week 1: Section 1.2 Section 1.3 Section 1.6 Week 2: Section 1.7 Section 1.8 Week 3: Section 1.9 Section 2.3 Week 4 Section 2.4 Section 2.5 Section 2.6 Week 5: Section 2.7 Section 3.1 Week 6: Section 3.2 Section 3.3 Week 7: Section 3.4 Section 4.1 Week 8: Section 4.2 Basic Functions and Their Graphs More on Function and Their Graphs Transformations of Functions Combinations of Functions: Composite Functions Inverse Functions Distance and Midpoint Formulas, Circles Polynomial functions and Their Graphs Dividing Polynomials; remainder and Factor Theorems Zeros of Polynomial functions Rational functions and Their Graphs Polynomial and Rational Inequalities Exponential Functions Logarithmic Functions Properties of Logarithms Exponential and Logarithmic Equations Angles and Radian Measure Trigonometric Functions: The Unit Circle Page 1
2 Section 4.3 Week 9: Section 4.4 Section 4.5 Week 10: Section 4.6 Section 4.7 Section 4.8 Week 11: Section 5.1 Section 5.2 Week 12: Section 5.3 Section 5.5 Week 13: Section 6.6 Section 7.1 Week 14: Section 9.1 Section 9.2 Week 15: Section 9.3 Section 10.1 Week 16: Section 10.2 Section 10.3 Right Triangle Trigonometry Trigonometric Functions of Any Angle Graphs of Sine and Cosine Functions Graphs of Other Trigonometric Functions Inverse Trigonometric Functions Applications of Trigonometric Functions Verifying Identities Sum and Difference Formulas DoubleAngle, PowerReducing and HalfAngle Formulas Trigonometric Equations Vectors Systems of Linear Equations in Two Variables The Ellipse The Hyperbola The Parabola Sequences and Summation Notation Arithmetic Sequences Geometric Sequence and Series Course Learning Outcomes: 1. Represent functions verbally, numerically, graphically and algebraically, including linear, quadratic, polynomial, rational, root/radical/power, piecewisedefined, exponential, logarithmic, trigonometric and inverse trigonometric functions. 2. Perform transformations of functions. 3. Perform operations with functions: addition, subtraction, multiplication, division and composition. 4. Find inverse functions. 5. Use the Remainder and Factor Theorems for polynomial functions. 6. Determine symmetry of a function. 7. Solve a variety of equations, including polynomial, rational, exponential, logarithmic, trigonometric and inverse trigonometric equations. 8. Identify and express the conics in standard rectangular form and graph the conics. 9. Solve polynomial and rational inequalities. 10. Represent sequences verbally, numerically, graphically and algebraically. 11. Write series in summation notation. 12. Express angles in both degree and radian measure. 13. Define the six trigonometric functions in terms of right triangles and the unit circle. 14. Verify trigonometric identities. 15. Represent vectors graphically in both rectangular and polar coordinates. 16. Perform basic vector operations. 17. Solve application problems using vectors. BGP Learning Outcomes: 1. Interpret mathematical and statistical models such as formulas, graphs, tables, and schematics, and draw inferences from them. Page 2
3 2. Represent mathematical and statistical information symbolically, visually, numerically, and verbally. 3. Use arithmetical, algebraic, geometric and statistical methods to solve problems. 4. Estimate and check answers to mathematical problems in order to determine reasonableness, identify alternatives, and select optimal results. 5. Recognize that mathematical and statistical methods are based on assumptions and have limits. BGP Learning Outcomes will be evaluated on the Final Exam. Instructional Strategies: Instructional Strategies will vary by instructor but may include interactive lecture, group work (activities), applets, flipped classroom, etc. Student Learning Activities: Student Learning Activities will vary by instructor but may include MyMathLab reading quizzes, group work, homework exercises, classroom presentations, etc. Reading Quizzes: You will be required to read each section and complete a reading quiz prior to discussing the section during class. All MyMathLab Reading Quizzes are due at 9:00 a.m. on the due date. You are allowed to take each Reading Quiz only once. InClass Assignments: Activities (worksheets, quizzes, etc.) will be assigned that will take place during class. Your individual instructor will determine the type and number of InClass Assignments. Homework (MyMathLab s Study Plan and Post Quizzes): Homework is completed online within MyMathLab and is divided between two categories: the Study Plan and Post Quizzes. The Study Plan should be completed first by clicking the + next to the chapter and the + next to the section then mastering each objective before taking the Post Quiz. The Post Quiz is designed to be taken after the objectives have been mastered in the Study Plan. All MyMathLab Post Quizzes are due at 9:00 a.m. on the due date. You are allowed to take each Post Quiz as many times as you wish. MyMathLab s Study Plan will be evaluated and points will be assigned at 9:00 a.m. on the following days. On September 24 th at 9:00 a.m. you will need to have earned 76 mastery points. On October 22 nd at 9:00 a.m. you will need to have earned 119 mastery points. On November 19 th at 9:00 a.m. you will need to have earned 150 mastery points. And on December 12 th at 9:00 a.m. you will need to have earned 172 mastery points. You are required to complete the problems for a section in the Study Plan prior to taking the Post Quiz. The problems within the Study Plan contain help features that are not available in the Post Quiz. Once you have taken a Post Quiz you can review the quiz. While reviewing the Post Quiz, the help features will again be available to you. You are allowed to retake a Post Quiz as many times as you would like prior to the due date. Although you are encouraged to consult with other students and seek help from your instructor, assignments should ultimately represent your own work. Answers unsupported by work will not receive credit. Completing all assignments and class participation is essential to the students success. Exams: There will be 3 exams and a cumulative final Exam Page 3
4 Exam 1 (Sections 1.2, 1.3, 1.6, 1.7, 1.8, 1.9, 2.3, 2.4, 2.5, 2.6) Exam 2 (Sections 2.7, 3.1, 3.2, 3.3, 3.4, 4.1, 4.2, 4.3, 4.4) Exam 3 (Sections 4.5, 4.6, 4.7, 4.8, 5.1, 5.2, 5.3, 5.5, 6.6) Final Exam (50% 7.1, 9.1, 9.2, 9.3, 10.1, 10.2, 10.3; 50% cumulative) Sept. 24 th, 7:309:00PM Oct. 22 nd, 7:309:00PM Nov. 19 th, 7:309:00PM Dec. 15 th, 6:008:00PM Evaluation: Your final grade in the class will be calculated as follows: Reading Quizzes within MyMathLab 25 Points 4% Study Plan within MyMathLab 50 Points 8% Post Quizzes within MyMathLab 50 Points 8% InClass Assignments 50 Points 8% Exam Points 16% Exam Points 16% Exam Points 16% Final Exam 150 Points 24% Total 625 Points 100% Grading Scale % A % B % C % D % F Placement: When developing lessons and activities, your teacher must take for granted that you have mastered concepts presented in prerequisite courses. The pace of this course precludes the opportunity to review these concepts in class before they will be used extensively. If you know that your skills are weak in any of these areas, I encourage you to discuss your concerns with your teacher or with a tutor so that we can help you strengthen your skills. If you have not met all of the prerequisites, you should immediately consult with your academic advisor and with your teacher so that we can place you in the appropriate math class. Dropping the Course: During the first 14 calendar days of the semester, you may drop this course with no record on your transcript. After the second week, you must follow the formal withdrawal policy. When you withdraw from a course, University policy dictates that a grade of W (Withdrawn) will be assigned. If you withdraw from the course after the eleventh week of class, you will be assigned a grade of ATN. If you stop attending and participating in the course but do not officially drop or withdraw from the course, you will be assigned a grade of ATN at the end of the semester. If you do not take the final exam, you will be assigned a grade of ATN, per official University policy. The grade of ATN will appear as an F on your transcripts and will be calculated into your GPA. Academic Honesty: The instructor and students in this course will adhere to the University s general Codes of Conduct defined in the BGSU Student Handbook. Specifically, the Code of Academic Conduct (Academic Honesty Policy) requires that students do not cheat, fabricate, plagiarize or facilitate academic dishonesty. Students who passively engage in cheating (i.e. allowing others to cheat off of them) may receive the same consequences as the person copying. Course Coordinator: If you have a problem or concern you are encouraged to discuss the issue with your teacher. If you cannot resolve the issue with the teacher, you should contact the course coordinator. The course coordinator is: Ann Darke, 411 Mathematical Sciences Building, , darkea@bgsu.edu Page 4
5 Department Mediator: If you have a problem or concern that cannot be resolved by discussing the issue with your teacher or with the course coordinator, you should contact the department mediator. The department mediator is: Dr. Arjun Gupta, 416 MSC, , gupta@bgsu.edu See for more information Students with Disabilities: Students who have or acquire a disability which raises academic concerns may contact Disability Services for Students in College Park room 38, telephone (voice) and (fax). If a student is currently registered with the Office of Disability Services, the student is required to give the instructor a copy of any official paperwork so that the instructor can make the necessary classroom and assessment adaptations. Page 5
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