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1 SOUTHERN MAINE COMMUNITY COLLEGE South Portland, Maine Pre-Calculus Online Course Syllabus - Summer, 2017 Title: Pre-Calculus Catalog Number: MATH 190-D1 Credit Hours: 3 Total Contact Hours: 45 Instructor: Gary Amara Office Hours: By appointment gamara@smccme.edu Office: Preble 202 / Math Adjunct Office *All s must contain your name, course number and section in the subject line. (Ex: Pythagoras Johnson MATH 190-D1) Course Description: This course is designed to add depth and breadth to a student s mathematical background before embarking on a study of the methods of calculus. The course covers a review of algebra, linear, and quadratic functions; polynomial, rational, exponential, radical, and logarithmic functions; compositions and inverses of functions; theory of polynomials with the Fundamental Theorem of Algebra; trigonometric functions and identities; additional topics and applications. (3 credits) Prerequisite: College Algebra MATH-140 and Trigonometry MATH-160 or College Algebra and Trigonometry MATH-145 or equivalent. Course Objectives Upon successful completion of the course, the student will be able to: 1. Solve and graph linear equations and inequalities. 2. Solve and graph quadratic equations and inequalities. 3. Solve and graph absolute value equations and inequalities. 4. Identify a function from its equation and graph. 5. Graph functions using symmetry, translations, reflection, compression and stretching. 6. Perform the sum, difference, product, quotient and composition of functions. 7. Perform operations on complex numbers. 8. Perform long division on polynomials. 9. Perform synthetic division on polynomials. 10. Use the Remainder Theorem to evaluate polynomials. 11. Use the Factor Theorem to show whether (x-c) is a factor of a polynomial. 12. Graph polynomial functions using roots and end behavior of the function. 13. Identify the equations of a polynomial. 14. Graph rational functions using asymptotes, intercepts and end behavior. 15. Find the inverse of a function. 16. Solve and graph exponential functions. 17. Solve and graph logarithmic functions. 18. Evaluate trigonometric functions of real numbers. 19. Graph trigonometric functions. 20. Recognize and verify trigonometric identities. 21. Solve trigonometric equations. 22. Evaluate inverse trigonometric functions. 23. Identify the important parts of a conicc section from its equation. 24. Find the equation of a conic section.

2 Course Expectations: Students are expected to work through the Homework, complete the Online Quiz for each chapter, take a proctored Midterm and Final Exam on campus, and have at least Weekly contact with me. It is your responsibility to keep up with scheduled assignments. Required Text, Tools, and/or Supplies: Access to a computer with internet access You must have a reliable internet connection and all the necessary plug-ins for the online site. Be sure to use the Browser Check after you register and access our online course through the SMCC student portal at MyMathLab Student Access Kit (or Access Code purchased separately) IMPORTANT: You must purchase your Access code at the SMCC bookstore or through MyMathLab. Codes from other sources will not work in our environment. Textbook: Precalculus: Concepts through Functions- A Unit Circle Approach to Trigonometry Sullivan and Sullivan III, 3 rd Edition, 2015, Pearson Graphing calculator, such as the TI-83 Plus or TI-84 REQUIRED ** The textbook, videos, and Student Solutions Manual are all online by purchasing your ACCESS CODE. You may choose not to purchase the hard copy of the text. Student Evaluation and Testing: Your grade will be determined as follows: Online Homework (15%) Unlimited Attempts 9 Online Quizzes (30%) Two Attempts Only PROCTORED ON-CAMPUS MIDTERM (25%) PROCTORED ON-CAMPUS FINAL EXAM (25%) Weekly contact with me during the semester (5%) (Include your name and course number-section (MATH 190-D1) in the subject line.) Grading: The letter grade you receive will be based on the following grading scale as provided in the Southern Maine Community College Student Handbook. A B C D A B C D B C F 0 62 Important Dates: May 30 th Summer Classes Begin May 30 th - June 5 th 5pm Drop-Add Period July 3 rd, July 5 th -July 7 th Midterm Exam Week July 9 th 11:59 pm Unit 1 Due (Chapters F-3) July 31 st 5pm Last Day to Withdraw August 14 th August 17 th Final Exam Week August 17 th 11:59pm Your Course Ends Unit 2 Due (Chapters 4-6, 9) **CAUTION**: Your course ends Thursday August 17 th at 11:59 pm. Unless special arrangements have been made in advance, any online work completed after the scheduled deadline will not be considered.

3 Places to go for help: Online Tutoring through SmartThinking, by Pearson. Accessed through Blackboard. The Learning Commons: Located on the second floor of the Campus Center at Southern Maine Community College in South Portland provides free professional tutoring by faculty and teaching assistants with a personal approach to academic success through individual tutoring and other resources. Summer Hours: Monday-Friday 8am-4:30pm, Saturday and Sunday CLOSED Khan Academy: Free lectures and instructional videos Course Requirements: Attendance In this internet-based course, attendance does not have the same meaning it does in the traditional classroom. Your instructor will not be checking on you to see that you are or are not working your lessons; you are responsible for your own time management. What matters is that you have made a consistent and honest effort to complete the assigned lessons and course materials including all Weekly Progress s. WARNING! While you may set the pace of your own work in this course, any student who appears to be idle for more than one week without permission may be reported to Enrollment Service as having stopped attending. This will result in the student being dropped from the course. This can be avoided by getting your assignments done on schedule and ing regularly. Homework You will have an Online Homework Assignment for each section in the textbook that is required. These are found under the Assignments tab. You may repeat these assignments as many times as you wish to achieve sufficient skill with each concept being taught. Homework assignments are worth 15% of your grade and are essential building blocks to understanding the material and performing well on mastery quizzes and exams. You might also want to practice in your textbook. There are no formal assignments from the text, but attempting every other odd problem will definitely improve your understanding of the skills being taught. If you find the work difficult, I suggest you practice MORE than what is assigned and always be sure to take advantage of the help available. See Places to Go for Help. Online Quizzes You will also have an Online Quiz for each chapter which can be found in the Assignments tab. You should work neatly and thoroughly on paper as you complete these assignments, in case there is a computer malfunction. This work in your notebook will also be very useful for future study. Online Quizzes can only be taken twice, so make sure that you are ready before you begin. NOTE: If you are unable to complete a Quiz in one sitting, you may save it for later, but you will NOT be permitted to revisit questions that you have previously viewed.

4 Midterm and Final Exams Both the Midterm and Final Exams will be administered on campus, in the Testing Center in the Student Center, during the designated exam weeks. You do not need an appointment. Please give yourself two hours to complete the each exam. The proctor will shut down the testing room promptly at closing time. Each exam is worth 25% of your final grade. Midterm Exam dates and times: (Subject to Change) Monday July 3rd, 8am - 5pm Wednesday July 5th, 8am - 5pm Thursday July 6th, 8am - 5pm Friday July 7th, 8am - 12pm Final Exam dates and times: (Subject to Change) Monday August 14th, 8am - 5pm Tuesday August 15th, 8am - 8pm Wednesday August 16th, 8am - 5pm Thursday August 17th, 8am - 5pm More details concerning exam dates and times will be available as it draws near. Be sure to read announcements online on a regular basis for updates. For your midterm and final exams, I will allow you to bring one 8.5 by 11 sheet of notes (front and back) for use during exams, however you must turn it in with your test as well as any work done on scrap paper. Your notes should be your own, hand-written or typed. No photocopies or digital images are allowed. You should bring a photo ID, pencils, one sheet of notes, and a calculator No cell-phone or laptop calculators will be permitted. If you are not available to come to campus to take your exams, you must enlist the help of a facilitator. Typically, outside facilitators are approved for students who are active military, MDOC, out-of-state, or students with disabilities. Facilitator forms will not be approved after June 9 th. For more information me at gamara@smccme.edu as soon as possible. Cell Phones and Other Electronic Devices Cell phones and all other electronic devices must be turned off during proctoring time. If you are expecting and emergency phone call, please check with the proctor before leaving your phone on. Text-messaging during exams is strictly prohibited.

5 Academic policies: End-of-Course Evaluation Students complete evaluations for each course attended at SMCC. Evaluations are submitted online and can be accessed through the student portal. Students can access the course evaluations beginning one week before the end of classes. The deadline for submission of evaluations occurs Monday at 5 p.m. following the last day of the class. You will receive an to your student account when course evaluations are available. ADA Syllabus Statement Southern Maine Community College is an equal opportunity/affirmative action institution and employer. For more information, please call (207) If you have a disabling condition and wish to request accommodations in order to have reasonable access to the programs and services offered by SMCC, you must register with the Disability Services Coordinator, Sandra Lynham, who can be reached at Further information about services for students with disabilities and the accommodation process is available upon request at this number. Course policies about online testing are modified to suit each individual s accommodations. SMCC Pay-for-Print Policy Each semester students receive a $20 printing credit. The balance resets at the end of the semester and any remaining credits are removed. The College s pay-for-print system monitors printing on all printers (including those in general access labs, library printers, Tutoring Services, Campus Center Lounge and technology labs). Be sure to log OUT of the system when you ve finished your printing, to prevent unauthorized access to your account. Students can check the number of pages they have printed by using the Printing Balance tool available on SMCC computers (located in the lower right corner of the screen, near the clock). Departments with work study students who need to print documents for the department should contact the Help Desk at to have a special account set up. To find ways to reduce your printing charges, please go to the IT Help tab on My SMCC. If you have questions about the pay-for-printing policy or your printing charges, please contact the Help Desk at or send an to helpdesk@smccme.edu. Refunds Print jobs are eligible for a refund in the event of mechanical or electronic error on the part of the printer, print server, or software used to submit the job. Jobs are not eligible for a refund in cases where the job was not set up correctly, was submitted multiple times, or the student is not satisfied with the result. To request a refund, please bring the offending print to the IT Department in the basement of the Ross Technology Center. Refunds will be granted in the form of a credit to the student s account. Add-Drop Policy Students who drop a course during the one-week add/drop period in the fall and spring semesters and the first three days of summer sessions receive a 100% refund of the tuition and associated fees for that course. Please note any course that meets for less than the traditional semester length, i.e., 15 weeks, has a pro-rated add/drop period. There is no refund for non-attendance. Withdrawal Policy A student may withdraw from a course only during the semester in which s/he is registered for that course. The withdrawal period is the second through twelfth week of the Fall and Spring semesters and the second through ninth week of twelve-week Summer courses. This period is pro-rated for shorter-length courses, usually 75 percent of course meeting times; please check with the Registration Office. To withdraw from a course, a student must complete and submit the appropriate course withdrawal form, available at the Registration Office. This process must be completed either in person or by using SMCC accounts. Plagiarism Statement If an instructor suspects that a student has knowingly committed a violation defined in the Maine Community College System Policy on Student Grade Appeals and Academic Misconduct, the instructor has the authority to review the alleged misconduct and determine the grade that the student should receive for the assignment and the course. The instructor may assign a failing grade for the assignment or course and may require the student to complete additional work for the course. The instructor may consult with the department chair and/or the College s chief academic officer prior to making such decisions. If a student seeks to challenge an instructor s determination, the student should submit a grade appeal. Grade appeal forms are available in the Advising Office on the South Portland Campus or in the administrative offices in the Learning Commons on the Midcoast Campus. An instructor may also refer the matter to the College s disciplinary officer for review under the procedures of the MCCS Student Code of Conduct.

6 Week 1 Course Calendar and Pacing MATH 190 Pre-Calculus Online, Summer 2017 (Week numbers refer to the 12 weeks of the semester) Your course begins! Buy your textbook and MyMathLab code and register (5/30-6/5) online through the SMCC Student Portal/Blackboard Print out this syllabus so you will have the pacing and details about the course. Please send me an by June 6 th, introducing yourself. Please include your name course and section number (MATH 190-D1) in the subject line of all s that you send to me at gamara@smccme.edu Begin Unit 1. Complete Chapter O: Orientation Questions for My Math Lab Complete the online homework assignments and Quiz for chapter F: FOUNDATIONS: A PRELUDE OF FUNCTIONS ** DROP/ADD ENDS ON MONDAY, JUNE 5 th AT 5PM. Week 2 Begin reading and Homework for Chapter 1. (6/5-6/12) Week 3 Finish the Homework and Online Quiz for Chapter 1. (6/12-6/19) Begin reading and the Homework for Chapter 2. Week 4 Finish the Homework and Online Quiz for Chapter 2. (6/19-6/26) Begin the reading and Homework for Chapter 3. Week 5 Finish the Homework and Online Quiz for Chapter 3. (6/26-7/3) Prepare for your Midterm Exam next week, covering chapters F, 1, 2, and 3. Week 6 MIDTERM EXAM WEEK The Midterm Exam will be held on campus in (7/3-7/10) the Testing Center in the Campus Center. You can take the Exam July 3 rd, 5 th, 6 th, and 7 th. See page 4 of this syllabus for Testing Center hours. YOU WILL BE GIVEN TWO HOURS TO COMPLETE THE MIDTERM WHICH IS WORTH 25% OF YOUR FINAL GRADE. BE SURE TO BRING A PHOTO ID, PENCILS, ONE PAGE OF NOTES AND A CALCULATOR. All assignments, including online Homework, and Online Quizzes, for Unit 1 (Chapters 0/F, 1, 2, and 3) are due by Sunday, July 9 th by 11:59pm Also, Begin working on the chapter 4 assignments.

7 Week 7 Begin Unit 2. (7/10-7/17) Begin the reading and Homework for Chapter 4. Week 8 Finish the Homework and Online Quiz for Chapter 4. (7/17-7/24) Complete the reading, Homework and Online Quiz for the first half of Chapter 5. NOTE: Chapter 5 is split into two halves to maintain a manageable quiz length. Week 9 Complete the reading, Homework and Online Quiz for the second half of Chapter 5. (7/24-7/31) NOTE: Chapter 5 is split into two halves to maintain a manageable quiz length. Begin reading and the Homework for Chapter 6. Monday, July 31 st, by 5:00 pm is the deadline to withdraw from a course this semester. Week 10 Finish the Homework and Online Quiz for Chapter 6. (7/31-8/7) Week 11 Begin AND Finish the Homework and Online Quiz for Chapter 9. (8/7-8/14) Study for your Final Exam next week. Week 12 FINAL EXAM WEEK - The Final Exam will be held on campus in (8/14-8/17) the Testing Center in the Campus Center. You can take the Exam between August 14 th and August 17 th. See page 4 of this syllabus for Testing Center hours. YOU WILL BE GIVEN TWO HOURS TO COMPLETE THE FINAL WHICH IS WORTH 25% OF YOUR FINAL GRADE. BE SURE TO BRING A PHOTO ID, PENCILS, ONE PAGE OF NOTES AND A CALCULATOR. Finish up all Unit 2 assignments for chapters 4, 5, 6, and 9. Thursday August 17 th is the last day of classes for Summer Semester, All work must be completed by 11:59 pm for it to be considered.

8 Frequently Asked Questions: How do I get started? Video Directions on how to access this course: Do I need a a Course ID for MyMathLab? Not anymore. You will be able to link to your MyMathLab course through the SMCC portal through Blackboard. I need a student access code. Where do I get this? You can purchase a MyMathLab student access kit from the bookstore with your textbook or purchase a code when you register for MyMathLab through Blackboard. What should I tell you in my weekly s to you? You should tell me how your work is progressing. Are things moving smoothly? Do you have any questions? Are you behind? How do plan to catch up? Is everything great? Etc. A question was marked incorrect but I think my answer was right. What should I do? Let me know as soon as possible. I will review it and correct the problem if necessary. I have taken a quiz more than once. Which grade counts? Only your best score counts. When are assignments due? There are only two strict due-dates for your assignments throughout the semester. Unit 1, covering chapters F, 1, 2, and 3, is due Sunday July 9 th by 11:59 pm. Unit 2, covering chapters 4, 5, 6, and 9, is due by Thursday August 17 th at 11:59 pm, when your Summer semester course ends. However, if you are idle (do not complete any work) for any one week period, you may be dropped from the course for having stopped attending. Communicating your intentions and status on a weekly basis will help you avoid this consequence. Can I work ahead of the pace of the course outlined in the syllabus? Absolutely. Though it will be a challenge, working ahead of the pace of the class will bring you confidence and peace of mind. I just lost power or my computer shut down mid-assignment. What should I do? MyMathLab will save all of your progress when you log out or in case of a power failure. Do I have to complete every homework assignment? Yes. Your homework grade (15%) depends on you completing all of the assignments Do I really need a graphing calculator? Yes. Having a graphing calculator on hand will enable you to complete problems involving complicated functions, graphs and trigonometry problems in a timely fashion. I have been using MyMathLab, but I am experiencing technical difficulties. Who do I contact? Go to to contact Pearson/Coursecompass/MyMathLab technical support. Or, call for technical support. I am having technical difficulties with Blackboard. Who should I contact? Michael Hart, E-Learning Coordinator, at blackboard@smccme.edu

9 Checklist for the First Few Days of Classes You ve got your book and student access kit for MyMathLab You ve ed your teacher at least once using the proper subject line (Your Name, MATH 190-D1) You ve printed a copy of this syllabus and read it carefully more than once. You ve logged into Blackboard through the SMCC portal and registered for MyMathLab a. To access your online course materials you can access blackboard directly through this link: For detailed video instructions on how to set up your course for the first time, click or enter the link: b. The opening page of your online course contains links to all other parts of your course. You should take some time to explore using the navigation buttons at the side of the window. In particular, click on the Browser Check, Assignments, and the Announcements buttons. These are very important. The Browser Check will help you install all of the necessary plug-ins that you will need for your computer to function properly in the online environment. The Assignments button contains all of your homework assignments, and online quizzes. The Announcements button contains all past and present announcements and is designed to keep your on track. Also, be sure to explore the Multimedia Library. Here you will find video lectures, slideshows, a digital copy of your textbook, etc. Try to find the resources that work with your learning style. c. Your first homework assignment is for you to complete Chapter O: Orientation Questions for My Math Lab in the Assignments tab. It is the first homework assignment on the list. This assignment will give you a good idea of what MyMathLab assignments are like and teach you how to enter answers properly. Keys for Success Online courses are very different from the traditional classes. They take more focus and selfmotivation, so please do not get a slow start. Know that it generally takes time to get used to the online environment, so please be patient as you learn how it works. I also have some advice: Work with as little distraction as possible. Smaller quantities of quality time are surely better than longer distracted time. Get into your lessons often during the week, paying special attention to the calendar deadlines. It is estimated that a typical course like this takes approximately 6-9 hours of study a week to complete successfully. Have a pencil in your hand and paper on your desk as you work through the course materials. The more interactively you work with the course materials, the more you will gain from your experience. When you come to something you don t understand don t let yourself stay stuck for long. 1. Find a similar problem in your student s solutions manual or in your textbook. 2. Use the Help Me Solve This and View An Example buttons. 3. Use Smarthinking, a free online Pearson tutoring service, accessed through Blackboard. 4. Visit the Academic Achievement Center on campus for free tutoring. 5. I am here to help you. Use the Ask My Instructor button in the homework assignments.

10 Textbook Topical Outline of Instruction And Additional Book Practice (optional): UNIT 1 CHAPTER F FOUNDATIONS: A PRELUDE OF FUNCTIONS F.1 The Distance and Midpoint formulas 1-47 odd, odd F.2 Graphs of Equations in Two Variable; Intercepts; Symmetry 1-8 all, 9-75 odd F.3 Lines (review) 1-10 all, odd F.4 Circles 1-53 odd CHAPTER 1 FUNCTIONS AND THEIR GRAPHS 1.1 Functions 1-87 odd 1.2 The Graph of a Function 1-31 odd 1.3 Properties of Functions 1-67 odd 1.4 Library of Functions; Piecewise-defined Functions 1-47 odd 1.5 Graphing Techniques: Transformations 1-69 odd 1.6 Mathematical Models: Building Functions 1-15 odd 1.7 Building Mathematical Models Using Variation 1-19 odd CHAPTER 2 LINEAR AND QUADRATIC FUNCTIONS 2.1 Properties of Linear Functions and Linear Models 1-45 odd 2.2 Build Linear Models from Data 1-17 odd 2.3 Quadratic Functions and Their Zeros 1-71 odd 2.4 Properties of Quadratic Functions 1-75 odd 2.5 Inequalities Involving Quadratic Functions 1-21 odd, Building Quadratic Models from Verbal Descriptions and from Data 1-11 odd Appendix A92-A97: Complex Numbers A97-A odd 2.7 Complex Zeros of a Quadratic Function 1-29 odd 2.8 Equations and Inequalities Involving the Absolute Value Function 1-61 odd, 67, 69 CHAPTER 3 POLYNOMIAL AND RATIONAL FUNCTIONS 3.1 Polynomial Functions and Models 1-93 odd 3.2 The Real Zeros of a Polynomial Function 1-87 odd, odd Appendix A41-A44: Synthetic Division A45-A odd 3.3 Complex Zeros: Fundamental Theorem of Algebra 1-43 odd 3.4 Properties of Rational Functions 1-53 odd 3.5 The Graph of a Rational Function 1-51 odd 3.6 Polynomial and Rational Inequalities 1-47 odd

11 UNIT 2 CHAPTER 4 EXPONENTIAL AND LOGARITHMIC FUNCTIONS 4.1 Composite functions 1-63 odd 4.2 One-to-One Functions: Inverse Functions 1-71 odd 4.3 Exponential Functions odd 4.4 Logarithmic Functions odd 4.5 Properties of Logarithms odd 4.6 Logarithmic and Exponential Equations 1-85 odd 4.7 Financial Models 1-53 odd 4.8 Exponential Growth and Decay 1-15 odd 4.9 Building Exponential and Logarithmic Models 1-7 odd CHAPTER 5 TRIGONOMETRIC FUNCTIONS 5.1 Angles and Their Measure odd 5.2 Trigonometric Functions: Unit Circle Approach odd 5.3 Properties of Trigonometric Functions odd 5.4 Graphs of the Sine and Cosine Functions 1-71 odd 5.5 Graphs of Tangent, Cotangent, Cosecant, and Secant Functions 1-39 odd 5.6 Phase Shift: Sinusoidal Curve Fitting (Objective 1 only) 1-25 odd CHAPTER 6 ANALYTIC TRIGONOMETRY 6.1 The Inverse Sine, Cosine, and Tangent Functions 1-67 odd 6.2 The Inverse Trigonometric Functions (Continued) (Objective 1 only) 1-35 odd 6.3 Trigonometric Equations 1-83 odd 6.4 Trigonometric Identities 1-93 odd 6.5 Sum and Difference Formulas 1-45 odd 6.6 Double Angle and Half Angle Formulas 1-43 odd 6.7 Product-to-Sum and Sum-to-Product Formulas 1-17 odd CHAPTER 9 ANALYTIC GEOMETRY 9.2 The Parabola (Objectives 1 and 2 only) 11, 17, 19, 21, 25, 55, The Ellipse (Objectives 1 and 2 only) 1-63 odd 9.4 The Hyperbola (Objectives 1 and 3 only) 1-27 odd