1 MIAMI DADE COLLEGE WOLFSON CAMPUS SYLLABUS MAC 1147 Term: FALL 2008 Instructor: Dr. Belarmino Gonzalez E-mail:bgonzal5@mdc.edu Reference Number: 468001 Room: 2205 Meeting days/times: TR 5:40-7:45PM Office Room: 1534 Office hours: Posted in my office door TEXTBOOK: PRECALCULUS, Graphs and Models, Fourth Edition, by Bittinger, Beecher, Ellenbogen, and Penna. PREREQUISITE: Mac 1105 with a grade of C or higher, or have qualified for admission by the college placement test. CALCULATORS: You need a TI-83 or TI-84 Graphing Calculator. Course Description This course includes all the topics of Pre-Calculus and Trigonometry. Among those topics are polynomial, rational, exponential, and logarithmic functions, conic sections, matrices and determinants, sequences, trigonometric and inverse trigonometric functions, trigonometric identities and equations, solving triangles. How do the course objectives relate to the Miami-Dade Learning Outcomes? What follows below is a list of the ten learning outcomes that have recently been prepared by Miami Dade faculty and administrators. As graduates of Miami Dade College, students will be able to: 1. Communicate effectively using listening, speaking, reading, and writing skills. 2. Use quantitative analytical skills to evaluate and process numerical data. 3. Solve problems using critical and creative thinking and scientific reasoning. 4. Formulate strategies to locate, evaluate, and apply information. 5. Demonstrate knowledge of diverse cultures, including global and historical perspectives. 6. Create strategies that can be used to fulfill personal, civic, and social responsibilities. 7. Demonstrate knowledge of ethical thinking and its application to issues in society. 8. Use computer and emerging technologies effectively. 9. Demonstrate an appreciation for aesthetics and creative activities. 10. Describe how natural systems function and recognize the impact of humans on the environment. Each course taken at the college addresses some of these learning outcomes. Pre-Calculus and Trigonometry (MAC 1147) addresses outcomes 1, 2, 3, 4, 5, 8, 9. 2 Communicate effectively using listening, speaking, reading, and writing skills. This course requires reading and understanding the material covered in the textbook. Students will need to pay attention in class and may periodically be asked to explain a concept discussed in class. Use quantitative analytical skills to evaluate and process numerical data. In this class, you will have to be able to read and identify numerical information (data) in different real world problems and applications. You will be required to manipulate the datainformation using models, equations. Solve problems using critical and creative thinking and scientific reasoning. Critical thinking is an essential skill for all professionals. When solving problem it is necessary to understand the problem and to determine which method may be used to solve the problem. Then one must also decide whether or not the result(s) make sense. Critical thinking and scientific reasoning are part of the methods or procedures that you may need to use solving problems or real world problems in this course. Formulate strategies to locate, evaluate, and apply information. In the real world applications students have the opportunity to locate, evaluate and apply information in the solution of problems. Demonstrate knowledge of diverse cultures, including global and historical perspectives. The development of mathematics and some historical math events are lightly touched upon in this course, and in the research paper. Value the contribution of different cultures to mathematics. Use computer and emerging technologies effectively. Most homework assignments and quizzes will be posted on line on the Course Compass/My Math Lab website. Students will develop the ability to use these computer resources to monitor their progress in the course and to help them reach a better understanding of the concepts, ideas and applications discussed in the course. They will also have the opportunity to use the external links posted on the website to explore topics related to the course goals and objectives. Demonstrate an appreciation for aesthetics and creative activities. Value the creativity of the human being in the way they use and development Mathematics to solve problems in real life. Attendance and Homework Regular attendance and completion of homework assignments are extremely important for students who want to pass this course. Keep in mind that one learns mathematics only by doing mathematics. Consequently, students with excessive absences may be dropped from the class. Homework will be assigned on a regular basis. Assignments will usually consist of reading the sections covered in class as well completing the on line homework. Some exercises from the textbook will also be assigned. 3 GRADING POLICY Your grade will be based on the results of six unit’s assignments and a Final Exam. The Final Exam will count as 25%, the average of the units as the 75% of your grade. Your grade will be distributed as follow per unit: Homework online: 10 % of your unit’s grade. One in-class Quiz: 10 % of your unit’s grade. One in-class Test: 80 % of your unit’s grade. Online homework: You will need to log into www.coursecompass.com; there, you will find the complete textbook online, along with videotapes and homework tutorial assignments and quizzes. All you would need to purchase is the access code to the site. Follow the instructions to register. When completing the registration, they will ask you for the COURSE ID. The Course ID for this class is gonzalez12976. No exceptions will be made about the due date for the online homework, which will be on the day before of each unit’s test. If you miss a test or a quiz, please notify the instructor as soon as possible. If the reason for missing the test is “acceptable”(according to policy) you may make up the work according to the instructor’s discretion. If you miss an exam and you don’t see your instructor that will be automatically become a zero. The Final Exam consists of questions based on the material discussed on class. Grading scale (based on total points): A: 90 -- 100: B: 80 --- 89: C: 70 --- 79: D: 60 --- 69: F: 59 --Below At the discretion of the instructor, the Final Exam score may be used to replace the lowest unit’s score, for the students who pass the Final Exam. Incomplete The grade of “I” (Incomplete) is given in the rare case that a student is PASSING a class but for some extenuating circumstance is unable to complete the last part (usually the final exam) of the class. If you are not passing your class, it is not possible for your instructor to give you an I. Note that you will have one full term (Fall or Winter) to complete the requirements of your Incomplete contract. If you do not complete your requirements in that time, the “I” generally will automatically change to an F on your records. The instructor makes the determination as to whether you are eligible for an Incomplete. 4 Support Services Should you encounter any difficulties with a section or chapter, seek help right away. Stop by and see me during office hours, stop by the math lab, seek the help of a tutor. In the Math Lab, Room 2223, you will find videos and computer software that may be of assistance to you. You may also come to the Math Lab to interact with other students of mathematics, seek help in solving homework problems or to ask questions concerning the material in the text. Please note that the tutors in the lab must help all students and take turns; they cannot work with one student for a prolonged period of time. We are unable to offer one-to-one continuous tutoring. The hours for the Math Lab are posted on the door at the entrance of the Lab. The services provided in the Lab are free. Classroom and Laboratory Etiquette and Discipline Students should make every effort to come to class on time. Students are also expected to depart when the class ends and to treat others respectfully. All beepers and cell phones must be turned off before class as a courtesy to your instructor and your classmates. Withdrawal Policy A student may withdraw from the course and receive a grade of "W" up until the last day to drop, which is NOV 4/2008 for this term (2008-1). The student who decides to withdraw from the course must fill out a "Drop Card" available at the registrar's or the academic advisement office. It is the student's responsibility to do so. Classes begin First day that lab hours can be accumulated in College Prep courses (MAT 0002, MAT 0020, MAT 0024) Last day for drop with W (regular 16 week classes only) Last day that lab hours can be accumulated in College Prep courses Last Day of Classes Final Exam Week Holidays or days there are no classes and the Math Lab is closed W Aug 27, 2008 W Aug 27, 2008 T Nov 4, 2008 F Dec 12, 2008 F Dec 12, 2008 Dec 13 – Dec 19, 2008 Aug 30, 31, Sep 1 Nov 27, 28, 29, 30, 2008 5 TENTATIVE COURSE SYLLABUS PRECALCULUS, Graphs and Models, Fourth Edition By Bittinger, Beecher, Ellenbogen, and Penna Week Date Sections Topics 1 Aug 28 1.2 1.6 2.1 Functions and Graphs Solving Linear Inequalities Properties of functions. Applications 2 Sept 2 Cont 2.1 2,3 2.4 The Composition of functions Symmetry and Transformations 3.2 Quadratic Equations and Functions 3.3 QUIZ#1 4.1 Analyzing Graphs of Quadratic Functions TEST#1 Polynomial Functions 4.2 4.3 4.4 QUIZ#2 4.5 Graphing Polynomial functions The Remainder and Factor Theorems Theorems about Zeros of Polynomial Functions Rational Functions 4.6 Polynomial and Rational Inequalities Sept 4 3 4 Sept 9 Sept 11 Sept 16 Sept 18 5 6 Sept 23 Sept 25 Sept 30 Oct 2 5.1 5.2 5.3 5.4 QUIZ#3 5.5 5.6 7 8 Oct 7 Oct 9 6.1 Oct 14 6.2 6.3 TEST#2 Inverse Functions Exponential Functions Logarithmic Functions Properties of Logarithmic Functions Solving Exponential and Logarithmic Equations Growth and Decay; Compound Interest TEST#3 Trigonometric Functions of Acute Angles Applications of Right Triangles Trigonometric Functions of Any Recommended additional exercises 1-6 all, 15-81 odd, 95-109 odd 1-45 odd 1-43 odd, 47-64 alternated odd, 7.1, 7.3 1-7 odd, 9-41 alternated odd 1-6 all, 7-47 odd, 71-103 odd, 115, 132 1-20 odd, 21, 23, 27-115 alternated odd 1-55 odd 1-25 odd, 27-49 alternated odd, 51-56 all 1-39 odd 1-53 odd 1-77 odd 1-31 odd, 33-73 alternated odd, 73-83 all 1-23 odd, 25-75 alternated odd, 77, 78, 79 1-81 odd 1-55 odd 1-93 odd 1-75 odd 1-63 odd 1-34 all 1-101 odd 1-41 all 1-97 odd 6 Oct 16 9 Oct 21 Oct 23 6.4 QUIZ#4 6.5 6.6 7.1 7.2 10 Oct 28 11 Oct 30 Nov 4 Nov 6 12 Nov 11 Nov 13 13 Nov 18 Nov 20 14 Nov 25 15 Nov 27 Dec 2 Dec 4 16 Dec 9 Dec 12 7.3 7.4 7.5 8.1 8.2 QUIZ#5 8.3 8.4 8.5 8.6 9.4 9.6 10.1 10.2 10.3 10.4 QUIZ#6 Holiday 11.1 11.2 11.3 11.4 11.7 Review Final Angle Radians, Arc Length, angular speed Circular Functions Graphs of Transformed sine and cosine TEST#4 Identities: Pythagorean and Sum and Difference Identities: Cofunction, Double-angle, and Half-angle Proving Trigonometric Identities Inverse Trigonometric Functions Solving Trigonometric Equations The Law of Sine The Law of Cosine 1-73 odd Complex number: Trigonometric form Polar Coordinates Vectors and Applications Vector Operations Matrix operations Determinants and Cramer’s Rule TEST#5 The Parabola The Circle and The Ellipse The Hyperbola Nonlinear Systems of Equations 1-75 odd 1-97 alternated odd TEST#6 Sequences and Series Arithmetic Sequences and Series Geometric Sequences and Series Mathematical Induction The Binomial Theorem 1-56 all 1-67 odd 1-30 all, 31-75 odd 1-40 all 1-56 all 1-67 odd 1-49 odd 1-31 all 1-35 all 1-42 all 1-85 odd 1-28 all, 39-45 all 1-44 odd 1-34 all 1-53 all 1-39 all 1-53 odd 1-73 odd 1-47 odd 1-65 odd 1-21 odd 1-27 odd