MAC 1147 Honors fall 2019 mwf PDF

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MIAMI-DADE COLLEGE Eduardo J. Padron Campus Math and Natural Sciences Department

MAC 1147 Honors

Pre-Calculus and Trigonometry Course Syllabus Fall 2019 (2197) Instructor: Dr. Rosany H. Alvarez E-mail: [email protected] Office hours: TBA

Phone: (305) 237-6057 Office: 1341

Class Meeting Times: MWF 10:00 am – 11:20 am Room: 6091

Ref: 8831

Course Compass (MyMathLab) Course Id: alvarez05791 Textbook: Title: Algebra & Trigonometry Edition: 11th Edition Author: Sullivan Publisher: Pearson ISBN: 9780135240809 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. Evaluation Policy: Five unit exams will be given during the semester, as well as a comprehensive final exam. The final exam is optional and may substitute the lowest of the unit exams. It may only substitute one exam. All exams will be administered promptly at the beginning of class. No one will be allowed to begin an exam if any student has already seen the exam and left the room.

Quizzes: Five extra credit unannounced quizzes will be given during the semester. Each quiz will allow you to earn 5 extra credit points. Projects: This course is an HONORS course and thus requires a more challenging and intuitive approach to learning PreCalculus and Trigonometry, as a result you will be required to complete 4 projects during the semester. Each project will incorporate the material being covered in class. (Sum of Five Unit Exams + Projects)/5.8 500 points 80 points

*If opting out of Final Exam

(Sum of Five Unit Exams + Projects + Final Exam)/6.8 500 points 80 points 100 points

*If taking Final Exam

Grading Policy: 90 – 100 = A 80 – 89 = B 70 – 79 = C 60 – 69 = D 0 – 59 = F 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/STEM Lab: The Math Lab/STEM Lab is in room 6013. It is highly recommended. Homework: Homework will be assigned at the end of each lecture. It will not be collected; however, students are expected to complete all assigned homework. Questions will be answered at the beginning of each class. It is extremely important to keep up with the homework assigned. My Math Lab: My Math Lab is an online support that offers online homework, tutorials, practice exams and more. Your book will contain an access code for you to access our class account. You can access our class account at www.coursecompass.com. Withdrawal Policy: If you decide to withdraw from this course, it is your responsibility to do so in order to receive a grade of “W”. Drop/Withdraw should be conducted through the office of the registrar. However, I periodically purge my class roster. If you are continuously absent and do not inform me of a reason, you may be purged from the class. The last day to withdraw with a grade of “W” is November 4th. Cell phones, IPhones, IPods, Airpods, Headphones etc: Cell phones and/or other electronic devices must be on silent or be turned off during class. Students will not be allowed to use a cell phone, text message or wear airpods and/or headphones inside the classroom. If a student has airpods, headphones or has a cellphone out at any time

during an exam, whether it is on or off, this will result in a 0 on the exam and may result in further action of academic dishonesty. Incompletes: Incompletes will be given in very limited circumstances. The student must have a passing average and must provide documentation for extreme circumstances impeding him/her from completing course (for example a serious personal illness, family death, or unexpected crisis). 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 unless specified by the instructor. Under no circumstances will a cell phone be allowed to be used as a calculator. 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): Week 1, August 27 Introduction Review of Functions Week 2, September 3 5.1 – Polynomial Functions 5.2 – Properties of Rational Functions 5.3 – The Graph of Rational Function Week 3, September 10 5.4 – Polynomial and Rational Inequalities 5.5 – The Real Zeros of a Polynomial Function 5.6 – Complex Zeros; The Fundamental Theorem of Algebra Week 4, September 17 Review 1 Exam 1 6.1 – Composite Functions 6.2 – One-to-One Functions; Inverse Functions Week 5, September 24 6.3 – Exponential Functions 6.4 – Logarithmic Functions 6.5 – Properties of Logarithms Week 6, October 1 6.6 – Logarithmic and Exponential Equations 6.7 – Financial Models 6.8 – Exponential Growth and Decay

Week 7, October 8 12.2 – Systems of Linear Equations: Matrices 12.6 – Systems of Nonlinear Equations Review 2 Exam 2 Week 8, October 15 7.1 – Angles and their Measure 7.2 – Right Triangle Trigonometry 7.3 – Computing the Values of Trigonometric Functions of Acute Angles 7.4 – Trigonometric Functions of Any Angles Week 9, October 22 7.5 – Unit Circle Approach 7.6 – Graphs of the Sine and Cosine Functions 7.7 – Graphs of the Tangent, Cotangent, Cosecant, and Secant Week 10, October 29 7.8 – Phase Shift Review 3 Exam 3 8.1 – The Inverse Sine, Cosine, and Tangent Functions 8.2 – The Inverse Trigonometric Functions (continued) Week 11, November 5 8.3 – Trigonometric Equations 8.4 – Trigonometric Identities 8.5 – Sum and Difference Formulas Week 12, November 12 8.6 – Double-angle 8.7 – Product-to-Sum and Sum-to-Product 9.1 – Applications Involving Right Triangles Week 13, November 19 9.2 – Law of Sines 9.3 – Law of Cosines Review 4 Exam 4 Week 14, November 26 11.2 – The Parabola 11.3 – The Ellipse 11.4 – The Hyperbola Week 15, December 3 13.1 – Sequences 13.2 – Arithmetic Sequences 13.3 – Geometric Sequences and Series

Week 16, December 10 13.4 – Mathematics Induction 13.5 – Binomial Theorem Review 5 Exam 5 Week 17, December 17 Cumulative Final Exam

IMPORTANT DATES: Last day to withdraw with a grade of “W”: M Nov 4 Holidays: M Sept 2 (Labor Day) M Nov 11 (Veteran’s Day) RF Nov 28-Nov 29 (Thanksgiving) Last day of classes: F Dec 13 Final Exam Week: Dec 14-Dec 20

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 student will demonstrate knowledge of trigonometric identities by: a. Simplifying trigonometric expressions. b. Finding exact values of sums and differences of angles and half angles. c. Proving trigonometric identities. Competency 14: The student will demonstrate knowledge of solving trigonometric equations by: a. Finding all solutions on the domain 0  x  2 b. Finding all solutions on the real numbers. c. Using identities to solve equations. Competency 15: The student will demonstrate knowledge of solving triangles by: a. Solving right triangles. b. Solving triangles using the law of sines and the law of cosines.

Miami Dade College/InterAmerican Campus Mathematics Department How do the course objectives relate to the Miami Dade College Learning Outcomes? What follows below is a list of the ten learning outcomes that have recently been agreed upon by Miami Dade College faculty and administrators. As graduates of Miami Dade College, students will be able to: 1. 2. 3. 4. 5. 6. 7. 8. 9. 10.

Communicate effectively using listening, speaking, reading, and writing skills. Use quantitative analytical skills to evaluate and process numerical data. Solve problems using critical and creative thinking and scientific reasoning. Formulate strategies to locate, evaluate, and apply information. Demonstrate knowledge of diverse cultures, including global and historical perspectives. Create strategies that can be used to fulfill personal, civic, and social responsibilities. Demonstrate knowledge of ethical thinking and its application to issues in society. Use computer and emerging technologies effectively. Demonstrate an appreciation for aesthetics and creative activities. 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. MAC1147, addresses outcomes 1, 2, 3, 4, 5, 8, 9....