DEPARTMENT OF MATHEMATICS AND SCIENCE COURSE SYLLABUS MTH 154 D01 - College Algebra and Trigonometry (4 credits) Fall 2016

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1 1 DEPARTMENT OF MATHEMATICS AND SCIENCE COURSE SYLLABUS MTH 154 D01 - College Algebra and Trigonometry (4 credits) Fall 2016 Instructor: Alketa Nina Phone Number: anina@worwic.edu Office Hours: HH 103H, Mon/Wed 1:00-2:00 pm & Tues/Thurs 11:00 12:30 I. COURSE DESCRIPTION: This course covers the advanced algebra, trigonometry, and analytic geometry necessary to prepare a student for the study of calculus. Topics include linear and quadratic functions, right-triangle and unit-circle trigonometry, exponential and logarithmic functions, and graphing of polynomial and rational functions. Hours: 52 lecture. Prerequisite: MTH 099 with a grade of C or better, acceptable mathematics diagnostic assessment score or permission of the department head. This course is usually offered in the fall, spring and summer. II. MATERIALS: Required: Textbook: Robert Blitzer, (2014) Algebra and trigonometry, 5 th Pearson Education, Inc. Boston MA, packaged with the mymathlab access code OR Mymathlab access code that contains the e-book Required: A Graphing calculator, TI-83+ or TI-84 is recommended. BLACKBOARD: Blackboard is being used as a supplementary site in this course. To access course content in Blackboard you need to have access to a computer with an Internet connection, (other requirements may apply). Please refer to this link for computers available on campus that meet these requirements: Please follow these directions to access course syllabi and any other materials posted for this course: Login Information 1. From the Wor Wic home page, click on mywor-wic (top right above Quick Links). 2. Enter your Wor Wic user ID and password (same as your Wor Wic

2 2 user ID and password) to access the portal homepage. 3. In the My Blackboard Classes web part, click on a class listed to be directed to the Blackboard site. 4. Blackboard may also be accessed through Quick Links on the college homepage and also through a link at the bottom of the homepage. Required statement concerning use of academic integrity and computer usage policy: All students logging into Blackboard affirm that they understand and agree to follow Wor Wic Community College policies regarding academic integrity and the use of College resources as described in the college catalog. Wor Wic Community College considers the following as violations of the computer usage policy: Using the campus computing network and facilities to violate the privacy of other individuals Sharing of account passwords with friends, family members or any unauthorized individuals Violators are subject to college disciplinary procedures. III. CLASS GUIDELINES/INSTRUCTOR-STUDENT INTERACTION This lecture class consists of the paper/pencil work, guided use of the text materials and the online materials made available by the publisher. Students will need to log-on to the web site to do part of the course work. Additional assistance for course work may be available in the WWCC Math Lab (BH 225) Math Lab Hours BH 225 Monday through Thursday Friday Saturday Sunday 8:30 a.m. 8:00 p.m. 8:30 4:00pm 10:00 3:00 p.m. closed Please call for more information IV. COURSE OBJECTIVES and ASSSESSMENT GOALS AND ASSESSMENT STRATEGIES: Upon completion of this course, students should be able to: COURSE OBJECTIVES: What should I be able to do by the end of this course? ASSESSMENT GOALS: ASSESSMENT STRATEGIES: How will my skills be assessed?

3 3 A. Apply intermediate algebra concepts to solving linear and nonlinear equations (GEO #4,6) B. Perform operations with functions and circles (GEO #4,6) C. Solve and graph polynomial equations and inequalities (GEO #4,6) What are the specific skills I must learn in order to meet the course objectives? Review of intermediate algebraic concepts including factoring, solving rational, quadratic, radical, absolute value, inequalities and equations 1. Review function operations with a concentration on composition. 2. Find a functions average rate of change 3. Graph functions involving a sequence of transformations 4. Give the center and radius of a circle whose equations in standard form 5. Convert the general form of a circle s equation to standard form 6. Find the distance between two points 1. Utilize graphs to locate relative maxima and minima 2.Identify even or odd functions and state their symmetries 3.Identify characteristics of parabolas in standard form, graph parabolas

4 4 D. Solve and graph rational Equations (GEO #4,6) E. Apply fundamental concepts of trigonometry (GEO #4,6) 4.Solve applied problems using a functions max or min 5.Determine end behavior 6.Use factoring to identify zeros and their multiplicities 7.Graph any polynomial function 8.Evaluate a polynomial using the Remainder Theorem 9.Find factors using synthetic division 10.Solve and graph polynomial inequalities 1. Recognize characteristics of graphs of rational functions 2. Identify vertical, horizontal and slant asymptotes, graph rational equations 3. Apply transformations to graph any rational function 4. Solve and graph rational inequalities 5. Solve direct, inverse, combination and joint variation problems 1. Recognize and apply the vocabulary of angles Class group work 2. Utilize degree/radian measure and convert between measurements 3. Draw angles and coterminal angles in standard position

5 5 F. Solve, graph and analyze using applied trigonometry (GEO #4,6) 4. Compute function values for special angles 5. Use right triangles to evaluate trigonometric functions 6. Identify and apply fundamental identities 7. Evaluate trigonometric functions with a calculator 8. Apply the definitions of the trigonometric functions of any angle, find the signs of each 9. Utilize reference angles to evaluate trigonometric functions 10. Utilize the unit circle to define trigonometric functions of the real numbers 11. State the domain and range of the sine and cosine functions 12. Graph variations of the function f(x) = A Sin(Bx + C) 13. Graph variations of the function: f(x) = A Cos (Bx + C) 14. Graph other trig functions Class group work including tangent and inverse functions 15. Solve a right triangle 1. Find all solutions of a trigonometric equation 2. Solve equations with multiple angles Homework

6 6 H. Solve and graph exponential and logarithmic functions (GEO #4,6) I: Write a mathematical or scientific paper (GEO #1) 3. Solve trigonometric equations that are quadratic in form, use factoring techniques and identities 4. Use a calculator to solve trig equations 5. Identify the laws of sines and cosines; compute and analyze applied problems 1. Evaluate exponential expressions; graph 2. Change from logarithmic to exponential form 3. Use logarithms to solve applied problems, including growth and decay 4. Model data with exponential and logarithmic functions 5.Use base e to compute and model data 1. Summarize relevant mathematical or scientific information 2. Demonstrate clarity and precision in writing using correct mathematical vocabulary Paper Paper V. COURSE EVALUATION: Students will complete units of study as outlined by the instructor. Problem assignments will be completed for each unit of study and tests will be graded accordingly. In addition, a comprehensive final examination is required. A weighted percent average will be used to determine the course grade as follows: Homework (paperwork and mymathlab) 25% Three Chapter Tests (GEO 3) 45%* Electronic Assignment/Writing Assignment 5% Final Examination (GEO 1) 25%* *Students who miss a test or the final exam must contact the instructor before the test or exam is administered to the rest of the class AND provide a valid, documented reason for the absence.

7 7 A letter grade will be awarded according to the following criteria: A 90% or higher B 80% to 89% C 70% to 79% D 60% to 69% F below 60% IMPORTANT DATES: College closed November Last day to drop September 28 Last day to withdraw November 10 Last day of classes before final exam week December 10 VI. GRADING POLICY A. Course Participation: Success in the course will depend on disciplined time management, completion of all assigned homework, and will require that students read and analyze the text and be able to apply technology and careful reasoning to participate fully. The homework assignments are designed to meet the goals and objectives of the course. B. Homework through 1) Access the site through Google Chrome, you may use the temporary code for only two weeks after the class start date. 2) Register your own personal login name and password with your access code that was packaged with your textbook. Make sure you write down that login name and password and keep it in a safe place. (The instructor can not access your password). 3) Login to the course. 4). Click on the MULTIMEDIA tab on the left hand side and read your textbook for that section, unless you have purchased the paper textbook. 5) You will have access to additional multimedia presentations like PowerPoints and videos. 6) Click on the HOMEWORK tab on the left hand side. Do the homework exercises on the website. Each section has about 10 problems. Do the problems, enter your answers. If you do not get it correct the first time, try again. View examples, get help. 7) YOUR GOAL IS TO GET AT LEAST 80% ON EACH HOMEWORK ASSIGNMENT. C. Tests: 1. There will be three tests as indicated in the course syllabus and homework assignment sheet. 2. Each test is worth 100 points. 3. The tests will consist of problems requiring the use of technology, mathematical modeling, critical thinking, and careful analysis. The tests are designed to meet the goals and objectives of the course.

8 8 D. Final Examination: December 12 th 8:30-10:30 am 1. The final examination is comprehensive and worth 100 points. 2. The final examination will follow the same pattern as the three examinations. Emphasis will be on critical thinking, analysis, and the application of mathematical models. The final examination is designed to meet the goals and objectives of the course. 3. There will be a written assignment for this course, which is posted in Mylabsplus along with the rubrics. The paper should be written in a proper MLA or APA format. VII. ACADEMIC HONESTY POLICY: Academic honesty is expected of all students. Cheating and plagiarism are violations of academic honesty. Any student who has violated the academic honesty policy will be denied credit for the assignment, and then the matter will be turned over to the Student-Faculty Disciplinary Committee. Documented evidence of the offense will be kept in the Mathematics and Sciences Department office. Plagiarism is defined as copying or imitating the language, ideas or thoughts of another author and presenting them as one s original work or the copying of another s words in any medium without documenting the borrowing and thus failing to give credit to the original author in proper format (such as MLA or APA documentation format). Each instructor will be available for consultation regarding any confusion a student may have before submitting an assignment. Students are encouraged to use all available resources, including the instructor, assignment directions, handouts, suggested web resources and media center and/or writing center staff for help in avoiding plagiarism. Cheating is defined as the act of obtaining information or data improperly or by dishonest or deceitful means. This includes the intentional use or attempted use of unauthorized materials, information or study aids in any academic exercise. This ALSO includes helping or attempting to help another student to cheat or submitting the same paper for two different classes without the explicit authorization/approval of both instructors, etc. (see Current college catalog). Each instructor will be available for consultation regarding any confusion a student may have before submitting an assignment. Standards of performance and definitions are included in the Student Conduct Policy (College Catalog). COMPUTER USAGE POLICY: All students logging into Blackboard affirm that they understand and agree to follow Wor-Wic Community College policies regarding academic integrity and the use of College resources as described in the college catalog. Wor-Wic Community College considers the following as violations of the computer usage policy: Using the campus computing network and facilities to violate the privacy of other individuals.

9 9 Sharing of account passwords with friends, family members or any unauthorized individuals Violators are subject to college disciplinary procedures. VIII. EMERGENCY INFORMATION STATEMENT In the event of severe inclement weather or other emergency, information about the closing of the college will be communicated via e2campus and the College's website. Faculty will communicate with students about their courses and course requirements, such as assignments, quiz and exam dates, and class and grading policies, via Blackboard. Students will be responsible for completing all assignments in accordance with class policies. IX. Services for Students with Disabilities Wor Wic provides reasonable accommodations for students with disabilities, in compliance with the Americans with Disabilities Act of 1990 and Section 504 of the Rehabilitation Act of If you are in need of accommodations, please contact the counseling office at (410) For more information, see Wor Wic's Services for Students with Disabilities web page. DDF 8/9/16

10 10 Tentative Schedule for MTH 154 Fall 2016 (Subject to change) 9-7 Review of Chapter P , 1.2, 1.3, , 1.5, , , 2.2, 2.3, , , Review for test 10-5 TEST #1 on chapters P, 1, , , , , , 4.4, TEST #2 on chapters 5,6, , , , 5.5, , , Review for test 12-5 TEST #3 on chapters 3, Review for Final Exam FINAL EXAM - December 12 th 8:30-10:30am

SOUTHERN MAINE COMMUNITY COLLEGE South Portland, Maine 04106

SOUTHERN MAINE COMMUNITY COLLEGE South Portland, Maine 04106 Title: Precalculus Catalog Number: MATH 190 Credit Hours: 3 Total Contact Hours: 45 Instructor: Gwendolyn Blake Email: gblake@smccme.edu Website: