College Trigonometry Fall 2019
Sarah Holliday, PhD, Associate Professor
E-mail: shollid4 @ kennesaw.edu *Preferred method of contact
Office Phone: 470-578-4923
Office Location: Marietta Campus, D216
Office Hours: by appointment
Virtual Office Hours: TBD
Email and Classroom Response Times:
I will check my email at least once a day, not including weekends or holidays. During the week, I will respond to all emails within 24 hours. Over the weekend (starting Friday at 4 p.m.) I will respond to all emails within 48 hours. All assignments will be returned within 7 days.
This course is an in-depth study of the properties of trigonometric functions and their inverses. Emphasis is placed on the unit circle approach to the study of trigonometric functions and their graphs. Topics include circular functions, special angles, solutions of triangles, trigonometric identities and equations, graphs of trigonometric functions, inverse trigonometric functions and their graphs, Law of Sines, Law of Cosines, and vectors.
Successful completion of all Learning Support Mathematics requirements, or appropriate placement by exam.
Course Objectives (As determined by the department)
By the end of this course, you should be able to:
Model situations from a variety of settings by using trigonometric functions.
Manipulate mathematical information, concepts, and thoughts in verbal, numeric, graphical and symbolic form while solving a variety of problems which involve trigonometric and inverse trigonometric functions, and vectors.
Apply a variety of problem-solving strategies, including right triangle, unit circle and functional techniques, to solve multiple-step problems involving trigonometric equations.
Shift among the verbal, numeric, graphical and symbolic modes in order to analyze functions.
Derive appropriate formulas such as trigonometric identities.
Required Textbook/Supporting Materials
Textbook: Precalculus Graphs & Models, 5th edition, by Marvin L. Bittinger, Judith A. Beecher, David J. Ellenbogen, and Judith A. Penna. (6th edition also works, and don't pay for the paper book until you've decided if the e-book included with MML will work for you)
Calculator: TI-83, TI-83+, or TI-84
Online Resource: MyMathLab (includes access to the complete eText version of Precalculus Graphs & Models, 5th edition). Used for required homework. New books purchased at the KSU and General bookstores should come bundled with a subscription to MyMathLab. Anyone just wanting to purchase the subscription to MyMathLab (without purchasing the textbook) can either purchase a MyMathLab registration code at the bookstore, or present their plastic online at the MyMathLab website (www.mymathlab.com) to subscribe.
Instructor’s MyMathLab Course ID: holliday90192
Course ID: holliday90192
Course Dates: Aug 12, 2019 - Dec 18, 2019
Enrollment Dates: Aug 12, 2019 - Sep 06, 2019 (You have to enroll by 9/6)
D2L Brightspace supports Firefox, Internet Explorer, Safari, and Chrome. Make sure to run the System Check on the D2L Brightspace login page to be sure. You should also allow pop-ups for D2L Brightspace.
You can also use your mobile device, such as an iPad. (It's good for D2L, not so good for MML)
Final exam: 25%
Three tests: 30%
Check point quizzes: 25%
Homework (in MyMathLab): 15%
Bonus & Extras: 5%
Grade Conversion: A: (90-100), B: (80-89), C: (70-79), D: (60-69), F: (0-59)
Below is an outline of the content and activities in each unit of the course. All due dates for activities are in Eastern Standard Time.
Review: (assigned reading and graded homework, but no quizzes)
1.1 Introduction to Graphing
9.1 Solving systems of linear equations
1.2 Functions and Graphs – focus on domain
2.1 Piecewise Functions
2.2 The Algebra of Functions – Focus on domain and difference quotients
2.3 The Composition of Functions
5.1 Inverse Functions
5.2 Exponential Functions and Graphs
5.3 Logarithmic Functions and Graphs
5.4: Properties of Logarithmic Functions
5.5: Solving Exponential Equations and Logarithmic Equations
New material: (assigned reading, graded homework, and quizzes)
6.1 Trigonometric Functions of Acute Angles
6.2 Applications of Right Triangles
6.3 Trigonometric Functions of Any Angle
6.4 Radians, Arc Length, and Angular Speed
6.5 Circular Functions: Graphs and Properties
6.6 Graphs of Transformed Sine and Cosine Functions
7.1 Identities: Pythagorean and Sum and Difference
7.2 Identities: Cofunction, Double-Angle, and Half-Angle
7.3 Proving Trigonometric Identities
7.4 Inverses of the Trigonometric Functions
7.5 Solving Trigonometric Equations
8.1 The Law of Sines
8.2 The Law of Cosines
For this online class, you should expect to spend about 2 hours per week reviewing material, up to 120 minutes a week working through assessments (quizzes and tests), and up to an additional 3 hours per week engaged in practice problems, homework, and concept reinforcement. There are several discussion boards in the d2l class, and you should plan to check in an average of 3 times a week.
In any classroom setting there are communication rules in place that encourage students to respect others and their opinions. In an online environment the do's and don'ts of online communication are referred to as Netiquette. As a student in this course you should:
Be sensitive and reflective to what others are saying.
Avoid typing in all capitals because it is difficult to read and is considered the electronic version of 'shouting'.
Don't flame - These are outbursts of extreme emotion or opinion.
Think before you hit the post (enter/reply) button. You can't take it back!
Don't use offensive language.
Use clear subject lines.
Don't use abbreviations or acronyms unless the entire class knows them.
Be forgiving. Anyone can make a mistake.
Keep the dialog collegial and professional, humor is difficult to convey in an online environment.
Always assume good intent and respond accordingly. If you are unsure of or annoyed by a message, wait 24 hours before responding.
All assignments will lose 10% off the earned grade per 3 business days late (20% if 6 days late, 30% if 9 days late, etc.) Exceptions to this penalty can be made by contacting the instructor directly, and in advance of the deadline.
Distance learning requires more individual discipline than traditional classes, and requires that you have at least some control over your time and schedule. It is not easier or less time than face-to-face courses. During each week, students are expected to:
Check D2L course website regularly; (try setting up notifications about deadlines
Follow the weekly study guide;
Study the assigned material, such as; virtual lectures, textbook chapters, PPT slides, etc.;
Complete and submit assigned quizzes or homework on time.
Tips for Effective Online Learning
For an online class, students can really enjoy the benefits of learning at your own pace and in whatever environment that you choose. Below are some tips for effective online learning:
Check the D2L course website regularly. Always be aware of the current status of the
course. It might be helpful to subscribe to the RSS feeds within the News Tool, sign
up for text message alerts, or subscribe to your posts within the Discussion Tool.
By taking advantage of the tools within the environment and the posted learning material,
you can maintain an enhanced learning experience.
Work closely with your instructor. If you have any questions, please contact me immediately. The best way to contact me if via email or text, and you will be guaranteed to have a reply within 12 hours.
Begin your work early. If you can start a task early, don’t start late. Assuming you spend the same amount of time completing the task, starting later will be much more stressful than starting early. Never wait until the last minute to begin an assignment! You’ll have no turnaround time if you need help or something happens.
What is Plagiarism?
Plagiarism is defined as the practice of taking someone else’s work or ideas and passing them off as one’s own. If you are unaware or uncertain on how to properly cite a particular source, please do not neglect to add the citation—that is considered plagiarism.
If you have questions on how to cite your work, please contact me immediately! For more information, please refer to the “Plagiarism Policy” under the Policies section of this syllabus.
Contacts to get Help
Student Help Desk firstname.lastname@example.org or call 470.578.3555
D2L FAQ’s click here
D2L Student User’s Guide click here
UITS Student Training Workshop Schedule click here
Remote access to Library Resources: http://library.kennesaw.edu/
Tutoring and Academic Support: http://learnonline.kennesaw.edu/resources/tutoring_academic_support.php
ONLINE HELP: The internet has a vast array of learning resources. Search for your own help, or try these suggestions:
• Most textbooks have wonderful online resources. You may not have to purchase these online resources (it depends on your instructor's requirements and what your textbook publisher may offer), but you may want to look into at least a 'trial period' if your instructor doesn't require you to purchase it already.
• Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere, so you can teach yourself a lot of things if you have the patience and time to do so: http://www.khanacademy.org can help you fill in the gaps in your path to learning difficult content.
KSU SERVICES: Your student fees pay for these programs and services, so please look into these resources that are available to you free of charge. Some programs have a specific focus or demographic.
• Supplemental Instruction may be offered as an option with your course and instructor. If available, SI sessions are free and designed to help you develop the thinking and reasoning skills necessary to succeed in historically difficult courses. Seehttp://uc.kennesaw.edu/academicinitiatives/supplementalinstruction.php for more details.
• The Smart Center (previously known as the Math Lab) is located in the Library in Room 433 on the Kennesaw campus and in the Student Center in A-185 on the Marietta campus. It is drop-in-style tutoring for MATH, CHEM, and PHYS, so you need to be prepared with specific questions and may work in small groups on your problems. They can help with your graphing calculator issues, too. It is available to you for additional help free of charge. See http://mathlab.kennesaw.edu for their hours.
• Counseling & Psychological Services offers some academic programs that may help you; their U-Turn and Jumpstart workshops can help with study skills, test anxiety, and overcoming procrastination. See attached or go to http://www.kennesaw.edu/studentsuccessservices/cps and click on ‘Events’.
• The Lifelong Learning Center is typically for adult learners, non-traditional students, and commuter students (but they don’t turn anyone away, as long as you’re quiet!). They offer several programs, a quiet environment, and one-on-one appointment-based free tutoring. They are located on the 2nd floor of the Student Center on the Kennesaw campus. For more details, seehttp://www.kennesaw.edu/stu_dev/alp/aboutllc.shtml.
• If you are a student athlete, the Student-Athlete Success Services provides tutoring, studying assistance, computing technology, and development programs. They are located on the Kennesaw campus, at the corner of Big Shanty and Campus Loop Rd. Seehttp://www.kennesaw.edu/studentsuccessservices/sass.
• The Cultural Awareness & Resource Center includes a full service ITC computer lab, appointment and walk-in free tutoring services in MATH and writing. They are also located on the 2nd floor of the Student Center on the Kennesaw campus. Seehttp://www.kennesaw.edu/stu_dev/msrs/academic.html.
• The Recruitment, Retention, and Progression to Graduation Program for Hispanic/Latino Students offers individual academic coaching and exclusive enrichment activities. They are located in 121 Willingham Hall on the Kennesaw campus. See http://www.kennesaw.edu/rrpg.
OTHER TUTORING: See attached for a list of tutors that Department of Mathematics keeps on file. They aren’t recommending these tutors, it’s just a list to offer you a wide array of choices and prices. These tutors are not through any of KSU’s programs, so they will cost you $15-$75 an hour. If you are struggling and the above KSU services don’t fit your needs, then you have to decide if this cost is worth it or if you should reinvest your money and time to take the course again.
EXTRA HELP: Most instructors have office hours if you need help with the material, so please seek help as soon as you have difficulty. Do not wait until you are completely overwhelmed to ask for help. Note that if you are absent, most instructors will not schedule a one-on-one appointment time for you if you expect them to teach you the material you missed; not understanding something is different than not going to class to learn how to do it.
STUDY SESSIONS: The Department of Mathematics may host MATH STUDY NIGHTS. If available, I strongly encourage you to attend this. You will need to be prepared with specific questions and will typically work in a large group on your problems.
TIPS FOR STUDYING FOR MATH:
• Begin each homework assignment as soon as possible; then if you have difficulty, you have the time to access additional resources. Carefully read the instructions before working exercises and include all steps and diagrams.
• Work with a group of your classmates because verbalizing questions about topics that you do not understand can often clarify the material for you.
• It is easy to watch someone else do mathematics or explain it, but typically, you cannot learn this content without working at the problems yourself. At some point before a quiz, test, or final, you must be able to do problems on your own and without looking at the notes or textbook.
• See http://tutorial.math.lamar.edu/Extras/StudyMath/HowToStudyMath.aspx for additional tips on succeeding in mathematics courses.
Every KSU student is responsible for upholding the provisions of the Student Code of Conduct, as published in the Undergraduate and Graduate Catalogs. Section II of the Student Code of Conduct addresses the University’s policy on academic honesty, including provisions regarding plagiarism and cheating, unauthorized access to University materials, misrepresentation/ falsification of University records or academic work, malicious removal, retention, or destruction of library materials, malicious/intentional misuse of computer facilities and/or services, and misuse of student identification cards. Incidents of alleged academic misconduct will be handled through the established procedures of the University Judiciary Program, which includes either an “informal” resolution by a faculty member, resulting in a grade adjustment, or a formal hearing procedure, which may subject a student to the Code of Conduct’s minimum one semester suspension requirement.
No student shall receive, attempt to receive, knowingly give or attempt to give unauthorized assistance in the preparation of any work required to be submitted for credit as part of a course (including examinations, laboratory reports, essays, themes, term papers, etc.). When direct quotations are used, they should be indicated, and when the ideas, theories, data, figures, graphs, programs, electronic based information or illustrations of someone other than the student are incorporated into a paper or used in a project, they should be duly acknowledged.
Kennesaw State University provides program accessibility and reasonable accommodations for persons defined as disabled under Section 504 of the Rehabilitation Act of 1973 and the Americans with Disabilities Act of 1990. Kennesaw State University does not deny admission or subject to discrimination in admission any qualified disabled student.
A number of services are available to help students with disabilities with their academic work. In order to make arrangements for special services, students must visit the Office for Student Disability Services and make an appointment to arrange an individual assistance plan. In most cases, certification of disability is required.
Special services are based on
medical and/or psychological certification of disability,
eligibility for services by outside agencies, and
ability to complete tasks required in courses.
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Kennesaw State University, a member of the University System of Georgia, does not discriminate on the basis of race, color, religion, age, sex, national origin or disability in employment or provision of services. Kennesaw State University does not discriminate on the basis of disability in the admission or access to, or treatment or employment in, its programs or activities.
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ADA Compliance Officer for Students
ADA Compliance Officer for Facilities
ADA Compliance Officer for Employees
For more information, go to: http://www.kennesaw.edu/stu_dev/dsss.
MATH 1112 satisfies one of Kennesaw State University’s general education program requirements. It addresses the quantitative Math Skills learning outcomes. This learning outcome states:
Math Skills: Students will demonstrate the ability to explain information presented in mathematical forms (e.g., equations, graphs, diagrams, tables) and/or convert information into mathematical forms at a level appropriate for the complexity of problems in a college-level course.