Professor: E. Nicoli-Suco Office: 1539 or 2223 Telephone: 305- 237-3505 Email:esuco@mdc.edu MAC 1147 Ref. #: 504578 Pre-Calculus & Trigonomety Prerequisite: Students in this class must have completed MAC 1105 with a C or higher, or have qualified for admission by the college placement test. Textbook: Precalculus, Graphs and Models by Bittinger, Beecher, Ellenbogen, Penna Fourth Edition ISBN -13 978-0-321-50152-3 Content and Objectives: To provide the student with the knowledge and understanding of the following topics: 1) The set of real numbers, subsets, intersection and unions. 2) Field Axioms in construction simple proofs. 3) One dimensional mathematics, the number line: interval notation. 4) Relations and functions: their graphs, domain and range. 5) Inverting one-to-one functions. 6) Symmetry in relations and functions. 7) Horizontal and vertical shifting of functions. 8) Algebra of functions: addition, subtraction, multiplication, division and composition of functions. 9) Using the factor and remainder theorems in polynomial functions. 10) The inverse of a one to one function. 11) Rational functions: vertical, horizontal, or oblique asymptotes. 12) Logarithmic and exponential functions. 13) Mathematical Induction arguments. 14) Sequences: nth term and sum. 15) The binomial expansion and the nth term of the expansion 16) Trigonometric functions, from a numerical, graphical, verbal and analytic perspective. 17) Trigonometric identities. 18) Radian measure and circular functions 19) Inverse trigonometric functions and trigonometric equations, from a numerical, graphical, verbal and analytic perspective. 20) Methods of solving triangle, right and oblique, law of the sines and law of the cosines. 21) Complex numbers and vectors. Miami Dade College General Education Outcomes 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. The learning activities designed in this course will address outcomes 2, 3, 4, 6 and 8. Testing and Gradings: Best 6 out of 7 exams 600 points 2-Part Final Exam: 200 points Homework from mymathlab.com 200 pts No make-ups will be given. Online Assignments: You will need to log into www.mymathlab.com; there, you will find the complete textbook online, along with videotapes and homework tutorial assignments and quizzes. You will not need to buy the textbook. All you would need to purchase is the access code to the site, which costs about $ 55.00. Follow the instructions to register. When completing the registration, they will ask you for the COURSE ID. The Course ID for this class is nicoli-suco01841 Grading Scale: 90 % 80 % 70 % 60 % Below - 100 % - 89 % - 79 % - 69 % 60 % A B C D F Attendance: Roll will be called almost every day. Attending class is one of the most determining factors in successfully completing this course. Frequent Absences will impact your grade in a very negative way. Do not miss class unless you have a true emergency. If you stop coming to class with the intention to drop, make sure you do this by filling out a drop card at the Registrar's Office. You should consult with me before you decide to drop the class. Need Help? Feel free to ask as many questions as you want in class, as long as you have done your homework. Doing the homework and attending class are the most important things you can do to successfully complete this course. Do visit our math lab in Room 2223 when you need help with your homework, your online homework or quizzes. Student assistants, tutors, full time instructors, computer tutorials, and videotapes are there in place to assist you with this class. Cellular Phones: All cell phones MUST BE TURNED OFF during class. Lack of proper attention to this matter may be cause for disciplinary action. Foods and Classroom Etiquette: No food, drinks or chewing gum are allowed in this class. When in class, feet must be on the floor and your shoes must be on at all times. Office Hours: My office hours will be posted shortly on my web site. TENTATIVE SCHEDULE Week: 1 Section: Introduction, 2.1, 2.4 4.1, 4.2 4.3, 4.4 2 4.5 4.6 Exam 1 3 5.1 5.2 5.3, 5.4 4 5.5, 5.6 Exam 2 5 6 7 8 9 10 9.3 9.4, 9.6 10.1 10.2 10.3 Exam 3 11.1 11.2, 11.3 11.4 11.7 Exam 4 Review Pre-Calculus Final Exam 6.1, 6.2 6.3 6.4 Suggested Homework P. 175 #s 1 – 27, 47 – 59, 71 – 75 P. 214 #s 1 - 95 P. 307 #s 1 – 61 P. 321 #s 1 - 39 P. 329 #s 1 – 47 P. 339 #s 1 - 97 P. 357 #s 1- 65, 75, 77, 79 P. 368 #s 1 - 75 Hw # 1 from mymathlab.com due P. 389 #s 1 - 95 P. 403 #s 1 – 43, 45, 55,61 P. 423 #s 1 – 89, 107 – 113, 115 – 118 (all) P. 433 #s 1 - 73 P. 444 #s 1 – 51 P. 455 #s 1, 3, 7, 9 Hw # 2 from mymathlab.com due P. 754 #s 1 – 37, 41 P. 764 #s 1 – 27 P. 782 #s 1 – 17, 25 - 43 P. 820 #s 1 - 33 P. 830 #s 1 - 49 P. 840 #s 1 - 37 Hw # 3 from mymathlab.com due P. 896 #s 1 - 63 P. 907 #s 1 – 37 P. 919 #s 1 - 49 P. 926 #s 5 - 21 P. 952 #s 1 - 35 Hw # 4 from mymathlab.com due P. 482 #s 1 – 99 P. 492 #s 1 - 19 P. 511 #s 1 - 105 P. 526 #s 1 - 73 11 12 13 14 15 16 6.5 6.6 Exam 5 7.1 7.2 7.3 7.4 7.5 Exam 6 8.1 8.2 8.3 8.4 8.5 8.6 Exam 7 Review Trig Final Exam P. 544 #s 1 - 55 P. 562 #s 1 - 43 Hw # 5 from mymathlab.com due P. 585 #s 1 - 75 P. 595 #s 1 - 37 P. 604 #s 1 - 49 P. 616 #s 1 - 65 P. 630 #s 1 - 43 Hw # 6 from mymathlab.com due P. 650 #s 1 - 25 P. 661 #s 1 - 27 P. 674 #s 1 - 61 P. 686 #s 1 - 77 P. 694 #s 1 - 15 P. 708 #s 1 - 67 Hw # 7 from mymathlab.com due