MIAMI-DADE COLLEGE InterAmerican Campus Mathematics Department MAC 1147 Pre-Calculus and Trigonometry Course Syllabus Instructor: Dr. Jose Serpa Phone: 305 237 6110 E-mail: [email protected] Office: 1369 Website: //faculty.mdc.edu/jserpa/ Meeting Days: MF 11:00 AM – 12:40 PM & W 11:00 AM – 12:00 PM Reference Number: 611084 Room: 1124 Textbook: Title: Algebra & Trigonometry Edition: 8th Edition Author: Sullivan Publisher: Prentice Hall ISBN: 0132329034 Course Description: This course includes all the topics covered in PreCalculus Algebra (MAC 1140) and in trigonometry (MAC 1114). The course is designed for students with a strong high school background in algebra and trigonometry, or for students who performed very well in college algebra. Attendance: Attendance is highly encouraged. Roll will be taken at every class session. Students are responsible for all material covered in class. Students who attend and do not appear on the class roll will be asked to report to the Registrar’s Office to obtain a paid/validated schedule. Math Lab: The math lab is located in room 1375. It is highly recommended. Homework: Homework will be online and will count as extra credits. Incompletes: Incompletes will be given in very limited circumstances. The student must have a passing average and have a serious personal illness, family death, or unexpected crisis. Exam: Six in-class exams and a Final will be given during the semester. The Final will be cumulative and it will replace the lowest grade of the other six exams. All exams are of equal weight. (Score1) + (Score2) + (Score3) + (Score4) + (Score5) + (Score6) + (Score7) 7 Withdrawal Policy:If you decide to withdraw from this course it is our responsibility to do so in order to receive a grade of “W”. Calculators: You will need a scientific calculator. If you have a graphing calculator, you are encouraged to use it; however, you will not be allowed to use it on exams. Cell phones and beepers: Cell phones and beepers must be on silent or be turned off before class. Under no circumstances will a student be allowed to use a cell phone inside the classroom. Grading Scale: 100 – 90 = A 89 – 80 = B 79 – 70 = C 69 – 60 = D 59 – 0 = F Make-ups: Make-ups will only be given for extreme circumstances. If you miss an exam for any reason, you may substitute this missing grade with the grade you receive on the final exam. Only one exam may be substituted. Course Outline (Subject to change): I reserve the right to make changes in the test dates as needed. Any changes will be announced in class as early as possible MAC 1147 Spring 2010-2011 Tentative Schedule Week 1 Introduction, 3.1, 3.2 3.3 3.4, 3.5 Week 2 3.6 Review Exam 1 (Ch. 3) Week 3 5.1 5.2, 5.3 Week 4 5.4, 5.5 5.6 Review Week 5 Exam 2 (Ch. 5) 6.1 6.2, 6.3 Week 6 6.4, 6.5 6.6 6.7, 6.8 Week 7 12.2, 12.6Review Exam 3 (Ch. 6, 12.2, 12.6) Week 8 11.2, 11.3 11.4 13.1, 13.2 Week 9 13.3, 13.4,13.5 12.5 Review Week 10 Exam 4 (Ch. 11, Ch. 13, 12.5) 7.1 7.2, 7.3 Week 11 7.4, 7.5 7.6 7.7, 7.8 Week 12 Review Exam 5 (Ch. 7) 8.1, 8.2 Week 13 8.3 8.4 8.5 Week 14 86, 8.7 8.8 HOLIDAY Week 15 9.1, 9.2 9.3 Review Week 16 Exam 6 (Ch. 8, Ch. 9) Review Review Week 17 Final Exam Course Competencies: Competency 1: The student will demonstrate knowledge of the polynomial, rational and other algebraic functions, their properties and their graphs by: a. Defining the functions b. Identifying the domains and ranges of the functions c. Graphing the functions and their transformations d. Defining inverse functions Competency 2: The student will demonstrate knowledge of polynomial and rational inequalities by: a. Solving linear and nonlinear inequalities. b. Graphing linear and nonlinear inequalities Competency 3: The student will demonstrate knowledge of exponential and logarithmic functions, their properties and their graphs by: a. Defining the exponential and logarithmic functions.b. Identifying the domains and ranges of the exponential and logarithmic functions. c. Graphing the exponential and logarithmic functions, and their transformations. d. Evaluating logarithmic expressions. e. Solving exponential and logarithmic equations. Competency 4: The student will demonstrate knowledge of piecewise defined functions by: a. Defining piecewise defined functions. b. Identifying the different conic sections. c. Graphing piecewise defined functions. Competency 5: The student will demonstrate knowledge of conic sections by: a. Identifying the different conic sections. b. Graphing the different conic sections. Competency 6: The student will demonstrate knowledge of matrices and determinants by: a. Defining matrices and dimensions of matrices. b. Performing algebraic operations on matrices. c. Evaluating determinants. d. Solving linear systems using Cramer’s Rule. Competency 7: The student will demonstrate knowledge of sequences and series by: a. Defining sequences and series (including arithmetic and geometric). b. Writing the an term of sequences. c. Finding the sums of series (including arithmetic and geometric). Competency 8: The student will demonstrate knowledge of mathematical induction by: a. Proving that a given formula is true through the Principle of Mathematical Induction. Competency 9: The student will demonstrate knowledge of the Binomial Theorem by: a. Expanding a Binomial using the Binomial Theorem. Competency 10: The student will demonstrate knowledge of applications of PreCalculus by solving problems involving, but not limited to, the following: a. Exponential and Logarithmic Growth and Decay Models. Competency 11: The student will demonstrate knowledge of the trigonometric functions, their properties and their graphs by: a. Defining the functions in three different ways. b. Graphing the trigonometric functions and their transformations c. Finding approximate values of the trigonometric functions using a calculator. d. Finding exact values of trigonometric functions with reference angles of measures 0, 30, 45, 60, 90 degrees and their radian equivalent. Competency 12: The student will demonstrate knowledge of inverse trigonometric functions, their properties and their graphs by: a. Defining the inverse trigonometric functions including domains and ranges. b. Graphing inverse trigonometric functions. Competency 13: The