Mymathlab

Syllabus developed by Dr. Bill Kiele MATH_142_Online_Syllabus_0812

MATH 142 - Trigonometry

Online Course Syllabus Credit Hours: 3 Delivery Method: Online (Internet / Blackboard) Required Course Materials

Blitzer, R. (2010). Algebra and trigonometry plus MyMathLab student access kit (4th ed.). Upper Saddle River, NJ: Pearson.

ISBN: 978-0321687364 Note: This ISBN includes the MyMathLab Student Access Kit

Other Required Software This course requires an equation editor and graphing tool that allows you to transfer your graphs to a MS Word document.

Recommended Software for the above requirement: • This course requires the use of an Equation Editor. ERAU provides a software

download for the current version of MathType (at no cost), or you can use the Microsoft Word Equation Editor. For details and the download instructions, see Course Specific Resources in this course

• Microsoft Math 4.0 is free and is a primary graphing and calculator software package. It is a 2010 release. From basic math to precalculus, Microsoft Mathematics 4.0 helps you visualize and see mathematical concepts. There is a learning curve when you initially begin to use this editor.

• The Shareware program Graphmatica 2.0 (for Mac users and other rebels) is an acceptable alternative for this course.

• Other web-based graphing applets may be available over the internet; however, you will need to ensure they will do the tasks required for this course and that its license authorizes you to use the program/applet in the manner intended (usually, noncommercial academic use).

Suggested Supplemental Materials Scientific Calculator: The TI-83 or equivalent graphing calculator is recommended, however, the TI-30X-IIS, TI-30X-IIB, or any Casio equivalent will do. Your calculator needs to evaluate combinations and permutations, trigonometry functions, logarithms and exponential functions. Other Resources are available at the Resources Link in Blackboard. Take the time to review them for suitability for your needs.

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Course Description Students will be introduced to trigonometric functions and their graphs; identities; radian measure with applications; compound, half and double angle identities; solving elementary trigonometric equations, right and oblique triangles, law of sines and cosines; inverse trigonometric functions; vectors and trigonometric form of a complex number. Prerequisite: Math 140.

Course Goals This course is designed to provide the student with the mathematical skills to support further work in Computer Science, Aerospace Engineering, Electrical Engineering, Engineering Physics, Aircraft Engineering Technology, and the Avionics degree program. Learning Outcomes Upon successful completion of this course, the student will be able to:

1. Identify the six trigonometric functions and express them as the ratio of the sides of a right triangle, solve right triangle problems.

2. Find the trigonometric function value of any angle, and know the values of six trigonometric functions for quadrantal and special angles.

3. Convert from degrees to radian measure. 4. Solve problems involving arc length, angular speed and linear speed. 5. Define amplitude, period, and phase shift for the trigonometric functions 6. Graph the trigonometric functions using information on amplitude, period, and

phase shift. 7. Verify trigonometric identities using the fundamental identities, along with the

sum and difference formulas, double angle formulas and half angle formulas. 8. Define the domain and range of the inverse trigonometric functions. 9. Graph the inverse trigonometric functions, using information on the domain and

range. 10. Solve trigonometric equations on either a restricted domain or a general

domain. 11. Use the Law of Sines and the Law of Cosines to solve problems involving

oblique triangles. 12. Convert from rectangular to polar coordinates, and perform operations with

complex numbers in polar form. 13. Perform vector addition, subtraction and scalar multiplication. 14. Use vectors to solve displacement and force problems.

Added Learning Outcomes for Worldwide Campus:

15. Write equations of parabolas, ellipses, and hyperbolas in standard form, graph them, rotate axes to eliminate any xy term in the equation, and solve problems involving these conic sections.

16. Understand the purpose and utility of a parameter in rendering graphs of traditional functions. Trace out other important curves that have no traditional functional representation, such as conics, cycloids, etc. Compare and contrast between the rectangular form, the polar form, and a parametric form of a trigonometric equation.

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All learning outcomes for MATH 140 are in alignment with the Department of Arts and Sciences program outcomes 1 and 7.

• PO1 - Apply knowledge of college level mathematics to defining and solving problems. • PO7 - Use digitally enabled technology to organize and manipulate data, perform

calculations, aid in solving problems, and communicate solutions, ideas, and concepts. Grading Grading Note for all evaluation items: All activities in this course earn scores from zero to 100. The Grade Center then weights the scores appropriately. See the Evaluation Items and Weights chart below. This means while you earn the same score for all graded activities in the course, the weights are different. Your final grade is based on the weights of your earned scores, not the simple score total. If you have questions about the scoring and weights, contact your instructor.

Grade Scale

90 – 100 A 80 – 89 B 70 – 79 C 60 – 69 D

< 60 F

Evaluation Items and Weights Discussion Board Participation 20% MyMathLab Homework 20% Chapter 5 Test 15% Chapters 6 and 7 Test 20% Final Exam (Part 1 - 10% and Part 2 - 15%) 25%

Total 100%

Readings and Section Notes Each module contains chapter readings from the Blitzer textbook. The developer of this course has provided “Class Notes” that correspond with the chapter sections in the textbook. The notes highlight the main topic in the chapter section. The purpose of the notes is to help you focus your energy and time on the more important facts and examples in the reading. MyMathLab (MML) The MML learning platform provides innovative homework assignments, student assessment tests, and final exam. It also provides important learning tools that include video lectures for each section, animated demonstrations, and an online textbook. It provides you the opportunity to improve your performance and understanding of the trigonometric concepts at your own pace. Be sure to follow the registration instructions. MML is required to complete this course.

MyMathLab HW Throughout this course, you will have MML HW problems assigned that cover the course topics, textbook contents, and section notes provided. Solve the problems and work on the concepts and procedures until you understand them. If you have difficulty, use MML’s systematic instructions, animated help, and the video help that is available for most of the problems. You can even click on the “Ask My Instructor” button and an email containing the problem of difficulty will be immediately sent to him or her. Expect a reply within 24 hours in nearly all cases, but it could take 48 hours if circumstances break badly against you. Most modules have two or three homework sessions, one for each reading activity. Each homework session has 25 to 30 questions or problems to solve in MML. In MML, there is

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one homework set for each module. This means you will find one homework assignment in MML even though there are three MML Module HW sessions in a module. You are required to earn an overall score of 70 on most MML HW sets before proceeding to the assigned homework sessions in the next module. You can improve your HW score up to seven days after the end date of the module where it was assigned. If you have difficulty achieving the minimum score of 70, contact your instructor. MyMathLab (MML) is the principal delivery mechanism for all HW and Tests in this course. Using MyMathLab is a course requirement. Students who purchased a license to use MML in Math 140 in the past 12 months may use the same access code for this course, at no additional cost. MML Prerequisite Review The MML Prerequisite Review is an optional assignment designed to help you freshen up some basic algebra skills you might have forgotten, or give you a chance to improve on topics that have eluded you in the past. Work to improve your score until the end of Module 2. Beyond that time, you will be too involved with the course. The MML Prerequisite review takes about 2 - 4 hours to complete. MML Chapter Tests and Final Exam There are two chapter tests and a final exam in this course. The test on Chapter 5 is worth 15% of the course, while the test on Chapters 6 and 7 is worth 20%. They are timed and taken just once. You can take a short break, of course, but the timer on your screen will still count down from 120 minutes without interruption. In other words, the break you take is on test time. Plan ahead accordingly. For the Final Exam, Part 1 covers Chapters 1, 5 and 6 and consists of 22 problems and you have 120 minutes. It has only a 10% weight since it a review and you have a second chance to show your competence/mastery of the first material. Part 2 covers the material in Chapter 7 and 10, and there are 24 questions for which you are permitted another 120 minutes. It is worth 15% of the course. You do not have to take both parts at the same time—in fact we encourage you to take a day off between them, if your time permits. However, a single part must be completed without a break once you have begun it. A count-down timer will be on the screen to help you manage your time.

Discussion and Participation The goal of the Discussion Board is to share concepts, theories, ideas, and to learn from the collective knowledge and skills of your peers and instructor. Participation is vital to enhance everyone's learning experience. Class discussions are an integral part of your learning in this course. You are expected to participate in online discussions, making college-quality inputs. Timely and meaningful contributions are part of your Discussion and Participation course grade. Most modules contain problem solving or biographical Discussion Board activities. The problem solving activities will cover problems demonstrating the concepts covered in the related module and will require you to use an equation editor and the free Microsoft Mathematics 4.0 or other graphing program. There are also biographical Discussion Board activities, which require Internet research. The research will reveal important information about important figures in the history of mathematics, whose accomplishments are worthy of your time.

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For all Required Discussion Board activities, your initial submission is due no later than Day 5 of the module week. During Days 6 and Day 7 of the module, you must read all the initial submissions and write follow-up comments to at least two of your classmates’ submissions or follow-up comments. Keep in mind that your responses and timely interaction on the Discussion Board is very important. There will be no extensions beyond Day 7—no exceptions. Late posts will not increase your score. After all, whom are you talking to when everyone has left the room? Please see the Discussion Grading Rubric in Module 1 (or in Course Specific Resources) for details. The link to the Rubric is repeated in each of the required Discussion Boards. Online Sources There are no other required online sources per se; however, you are expected to use the web as a resource when doing your biographical and other math research. Use the Internet and/or library resources to obtain information for your contributions. To access the Hunt Library Databases use the link provided under the Library section of this syllabus or the link provided in the course. Below are two additional links that may prove helpful to you.

Mathwords - http://www.mathwords.com/ Calculator Help - http://www.prenhall.com/divisions/esm/app/calc_v2/index.html

General Note Module 1 contains specific and detailed instructions for the weekly module activities. APA Format Go to http://www.apastyle.org/manual/index.aspx for the American Psychological Association Publication Manual. Library Embry-Riddle Aeronautical University has one of the most complete library collections of aviation-related resources in the world.

• ERAU Libraries: http://library.erau.edu/ • Hunt Library Worldwide: Information, Services, Help

o Worldwide Library: Basic Training o Worldwide Library: Ask-a-Librarian o Reference: Research Request

Contact Information

• Hours: Monday - Friday 8:00 a.m. - 5:00 p.m. Eastern Time • Telephone: 1-800-678-9428 or 386-226-6947 • Email: [email protected]

RefWorks RefWorks, a research tool included with the library databases, has guidance in how to collect and use references, write a paper, and create a bibliography. RefWorks must be accessed through ERNIE. From the My ERNIE tab, scroll down to Admin Services and choose the Library Databases link. Scroll down or “Jump to” RefWorks. You must enter your user name and

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password to use RefWorks. Please contact the Hunt Library if you have any questions about this product or how to access it. Course Policies Academic Integrity Embry-Riddle is committed to maintaining and upholding intellectual integrity. All students, faculty, and staff have obligations to prevent violations of academic integrity and take corrective action when they occur. The adjudication process may result in sanctions being imposed on students who commit the following academic violations, which may include a failing grade for the course, suspension, or dismissal from the University. 1. Plagiarism: Presenting as one’s own the ideas, words, or products of another. Plagiarism

includes use of any source to complete academic assignments without proper acknowledgement of the source.

2. Cheating is a broad term that includes the following:

• Giving or receiving help from unauthorized persons or materials during examinations. • The unauthorized communication of examination questions prior to, during, or following

administration of the examination. • Collaboration on examinations or assignments expected to be individual work. • Fraud and deceit, that include knowingly furnishing false or misleading information or

failing to furnish appropriate information when requested, such as when applying for admission to the University.

Online Learning This course is offered over the Internet, at ERAU Worldwide Online (Blackboard) and runs nine (9) weeks. The first week begins the first day of the term and ends at 11:59 PM EDT/EST (as applicable) seven days later. During this first week, students may drop the course and receive a refund if applicable. Success in this course requires in-depth study of each module as assigned, timely completion of assignments, and regular participation in forum discussions. It is highly recommended that students keep electronic copies of all assignments submitted until completion of the course and receipt of a grade. Late work should be the exception and not the rule and may be downgraded at the discretion of the instructor, if accepted at all. Unless all work is submitted, the student could receive a failing grade for the course. Extensions may be granted for extenuating circumstances at the discretion of the instructor and only for the length of time the instructor deems appropriate. The most important element of success in an online course is to communicate with your instructor throughout the term. Conventions of “online etiquette,” which include courtesy to all users, will be observed. Students should use the Private Mail function in Blackboard for private messages to the instructor and other students. The class Discussion Board forums are for public messages. It is highly recommended that students keep electronic copies of all materials submitted in the Discussion Forum, via e-mail, or postal mail, until after the end of the term. When posting responses in the Discussion Forum, please confirm that the responses have actually been posted after you submit them.

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Course Schedule

Module Titles / Topics Activities

1 Angles, Right Triangle Trigonometry

Activity 1.1 - MyMathLab Registration and MathType Software Download

Activity 1.2 - Mandatory MML Orientation Activity 1.3 - Introduce, Meet, and Greet Activity 1.4 - MML Prerequisite Skill Review (optional) Activity 1.5 - Read Blitzer; Chapter Sections: 1.4 Activity 1.6 - Module 1 MML HW Activity 1.7 - Read Blitzer; Chapter 5, Section: 1 Activity 1.8 - Module 1 MML HW (continued) Activity 1.9 - Read Blitzer; Chapter 5, Section: 2 Activity 1.10 - Module 1 MML HW (continued)

2 Trigonometric Functions and Their Graphs

Activity 2.1 - Read Blitzer; Chapter 5, Section: 3 Activity 2.2 - Module 2 MML HW Activity 2.3 - Read Blitzer; Chapter 5, Section: 4 Activity 2.4 - Module 2 MML HW (continued) Activity 2.5 - Discussion: Triangles, both Famous and

Common Activity 2.6 - Read Blitzer; Chapter 5, Section: 5 Activity 2.7 - Module 2 MML HW (continued) Activity 2.8 - Read Blitzer; Chapter 5, Section: 6 Activity 2.9 - Module 2 MML HW (continued)

3 Inverse Trigonometric Functions and Some Serious Applications

Activity 3.1 - Read Blitzer; Chapter 5, Section: 7 Activity 3.2 - Module 3 MML HW Activity 3.3 - Read Blitzer; Chapter 5, Section: 8 Activity 3.4 - Module 3 MML HW (continued) Activity 3.5 - Discussion: Trigonometric Equations and

Equation Editors Activity 3.6 - Chapter Review Activity 3.7 - Optional Discussion: Chapter 5 Test Q and A

4 Test, then Introduction to Trig Identities

Activity 4.1 - MML Chapter 5 Test Activity 4.2 - Read Blitzer; Chapter 6, Section: 1 Activity 4.3 - Module 4 MML HW Activity 4.4 - Read Blitzer; Chapter 6, Section: 2 Activity 4.5 - Module 4 MML HW (continued) Activity 4.6 - Read Blitzer; Chapter 6, Section: 3 Activity 4.7 - Module 4 MML HW (continued)

5 Trig Equations, Laws of Sines and Cosines, Polar Coordinates

Activity 5.1 - Read Blitzer; Chapter 6, Section: 5 Activity 5.2 - Module 5 MML HW Activity 5.3 - Read Blitzer; Chapter 7, Section: 1 Activity 5.4 - Module 5 MML HW (continued) Activity 5.5 - Discussion: Trigonometric Equations and

Equation Editors Activity 5.6 - Read Blitzer; Chapter 7, Section: 2 Activity 5.7 - Module 5 MML HW (continued) Activity 5.8 - Read Blitzer; Chapter 7, Section: 3 Activity 5.9 - Module 5 MML HW, Part 2

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6 Polar Form Complex Number Arithmetic; Vectors

Activity 6.1 - Read Blitzer; Chapter 7, Section: 4 Activity 6.2 - Module 6 MML HW Activity 6.3 - Read Blitzer; Chapter 7, Section: 5 Activity 6.4 - Module 6 MML HW (continued) Activity 6.5 - Read Blitzer; Chapter 7, Section: 6 Activity 6.6 - Module 6 MML HW (continued) Activity 6.7 - Discussion: Benoit Mandelbrot and his Famous Set Activity 6.8 - Read Blitzer; Chapter 7, Section: 7 Activity 6.9 - Module 6 MML HW (continued) Activity 6.10 - Chapter Reviews

7 Test, then Ellipses and Hyperbolas

Activity 7.1 - Optional Discussion: Chapters 6 and 7 Test Q and A Activity 7.2 - MML Chapters 6 and 7 Test Activity 7.3 - Read Blitzer; Chapter 10, Section: 1 Activity 7.4 - Module 7 MML HW Activity 7.5 - Read Blitzer; Chapter 10, Section: 2 Activity 7.6 - Module 7 MML HW (continued)

8

Parabolas; Parametric Equations; Polar Form of the Conics

Activity 8.1 - Read Blitzer; Chapter 10, Section: 3 Activity 8.2 - Module 8 MML HW Activity 8.3 - Read Blitzer; Chapter 10, Section: 5 Activity 8.4 - Module 8 MML HW (continued) Activity 8.5 - Read Blitzer; Chapter 10, Section: 6 Activity 8.6 - Module 8 MML HW (continued) Activity 8.7 - Discussion: The Parametric Curve Defined End of Course Evaluation

9 Final Review and Exam

Activity 9.1 - Chapter Reviews Activity 9.2 - Optional Discussion: Final Exam Q and A Activity 9.3 - MML Final Exam