Math 144: Trigonometry
TR 2:00 – 2:50 p.m.
2 Credits – Fall 2015
Instructor: Cindy Dickson, M.S. Phone: 732-6544 or 1-800-680-0274 x6544
Office: Shields 207 C e-mail:
Office Hours:
MWF: 1:00 – 1:50 p.m.
TR: 12:00 – 12:50 p.m.
Math Lab Tutoring (Shields 207): W 1:00 – 1:50 p.m.
Office Hours also by appointment
1. Course Description: This course covers right triangle and circular function approaches to trigonometry, graphs of trig functions, trig identities, conditional equations, right and non-right triangle applications of trigonometry, inverse trig functions, trigonometry of complex numbers including DeMoivre's Theorem, polar coordinates and equations, parametric equations. Students desiring both college algebra and trigonometry should take MATH 147. Credit hours are not granted in both MATH 144 and MATH 147.
2. Prerequisite: MATH 143 grade of “C” or better, or CSI placement test.
3. Required Textbook and Supplies:
a. Textbook: Trigonometry, second edition, by Stewart, Redlin, and Watson, available at the campus bookstore.
b. Calculator: A graphing calculator is required. TI–83/84 (plus) will be used by the instructor. TI–89, TI–Nspire, and Casio–FX 115 ES will not be allowed.
c. Supplies: 3-ring binder with dividers, paper, pencil, stapler.
4. Course Objectives: This course combined with Math 143, College Algebra, will prepare students for Math 170 Calculus, physics and other courses which have a trigonometry prerequisite.
i. The students will have achieved the course objectives when they successfully demonstrate a working knowledge of the course content by developing solutions to skill-based and real world application problems and communicating the solution to these problems. The course content includes:
a. Angles (standard position, positive angle, negative angle, degree measure in degrees-minutes-seconds as well as decimal degrees, radian measure, coterminal angles, reference angles, supplementary, complementary)
b. Trig functions in right triangles (trig function definitions using opposite side, adjacent side and hypotenuse of right triangle; exact trig values of 30-60-90 and 45-45-90 triangles; use calculator to evaluate trig function values in degrees and radians; solve right triangles including application problems)
c. Trig functions of any angle (use the x-y-r definitions to find trig function values, signs of the trig functions within each quadrant, find and use reference angles)
d. Trig functions of real numbers (use the unit circle to find trig function values, properties of the trig functions (domain, range, symmetries, period)
e. Basic trig identities (Reciprocal, Quotient or Ratio, Pythagorean, rearrange basic identities, simplify trig expressions)
f. Graph the trig functions (period, amplitude, graph sin, cos, tan, cot, csc and sec functions without the use of a graphing calculator and using a graphing calculator, transformations of the basic trig graphs (horizontal and vertical shifts, vertical stretch/shrink, change of period, graph using addition of ordinates, given the graph of a trig function write the equation)
g. Inverse trig functions (restrictions on the domain and range, how graph of inverse is related to trig function graph, find exact values using triangles, evaluate composition of a trig function and an inverse trig function, evaluate inverse trig functions using a calculator)
h. Verify trig identities (include techniques of changing all to sin and cos, factoring, multiplying by a conjugate, etc., use graphs to decide if a given equation is an identity, then prove algebraically)
i. Use trig identities (Sum and Difference Identities for sin, cos, tan, Cofunction Identities, Double-Angle Identities, Half-Angle Identities, Product to Sum Identities, Sum to Product Identities)
j. Solve trig equations
k. Applications of trig (Linear velocity, angular velocity, arc length, area of a sector, Law of Sines, Law of Cosines, area of a triangle, trigonometric form of complex numbers (compute absolute value, product, quotient), DeMoivre’s Theorem)
l. Parametric equations (eliminate the parameter, graph)
m. Polar coordinates and equations (convert to and from rectangular form, graph)
These additional topics will be covered as time allows:
a. Algebraic operations on vectors
b. Geometric interpretation of vectors
ii. Success will be measured by homework assignments, chapter exams, and a comprehensive final exam.
5. Outcomes Assessment:
Philosophy Statement:
General education in Mathematics develops the understanding of mathematics as a language which permits the student to express, define, and answer questions about the world.
Student Learning Outcomes:
1. The students will be able to analyze real-world questions and mathematically structure strategies to model the questions.
2. The students will be able to correctly provide solutions to the models of the questions.
3. The students will be able to communicate the solutions to the questions when analyzed and solved mathematically.
6. Online Course Evaluations: Students are strongly encouraged to complete evaluations at the end of the course. Evaluations are very important to assist the teaching faculty in continually improving the course. Evaluations are available online through MyCSI (http://mycsi.csi.edu) by clicking on the CoursEval tab in the yellow navigation bar at the top of the MyCSI website once you are successfully logged-in. Students will receive an email when the evaluation becomes available and then have up to two weeks to submit the evaluation before the end of the course. The last day to complete an evaluation is the last day of the course. Evaluations are anonymous and are not available to faculty until after grades are submitted.
7. Policies and Procedures:
a. Attendance: Attendance is essential to student success. If you miss a class, you are responsible for material discussed in class as well as any additional assignments and announcements made during class time. If the number of absences exceeds 4 hours in this course, the student will receive a failing grade (F) in the course.
b. Homework: Assignments will be given daily and due the following class period. Be sure to read each section before attempting the homework. Late homework cannot be submitted after the due date. Your lowest 3 homework scores will be dropped.
c. Exams: Four exams and a comprehensive final will be given. Make-up exams will NOT BE GRANTED unless you have a medical excuse validated by a doctor or the consent of the instructor at least one week prior to the exam. Make-up final exams will NOT BE GRANTED UNDER ANY CIRCUMSTANCES.
d. Academic Integrity: The College valuesits mission as an educational institution.CSI students, faculty, staff, and administration are expected to behonest in all aspects of theircollege education and employment. All student workis evaluated with the assumption that the work presented is the individual’sown. All work submitted is to be arepresentation of an individual’s own ideas,concepts, and understanding. Anything less is unacceptable and is subject todisciplinary action as outlined in theStudent and Faculty Handbooks.Please see the Academic Integrity Website formore information.
If a student is caught cheating on an exam or copying another student’s assignment in this course, a student will be subject to a failing grade of F (0 credit) and will be referred to the Dean of Students.
e. Classroom Behavior: You as a student are expected to maintain good conduct during class, treating fellow students with respect and demonstrating a cooperative attitude toward the instructor. Inappropriate behavior will not be tolerated. After one warning, further breaches in acceptable conduct will result in your being dropped from the course, and the matter will be referred to the Dean of Students for college discipline. If there is a situation creating a problem for you in this class, please let me know so that I can conference with any students who are involved. Information regarding student Behavior Policies can be in the C.S.I. catalog and the complete Student Code of Conduct can be found online at www.csi.edu/StudentHandbook.
f. Other Policies: All cell phones and pagers must be turned off or to a vibrate mode during class. No texting allowed during class. No children are allowed in class.
8. Grading Practices:
a. Testing: All chapter exams will be taken in the Testing Center. It is located in GRM 230 and is open from 8:00 am – 9:30 p.m. Monday – Friday and from 12:00 p.m. – 5:00 p.m. on Saturdays. A student ID card is required to take any test in the Testing Center. You cannot start a test in the Testing Center if closing time is less than one hour away.
The comprehensive final exam will be given in the classroom.
b. Evaluation:
4 Exams: 400 points 90 -100%=A
Homework: 100 points 80-89% =B
Final Exam: 150 points 70-79%=C
Total Possible: 650 points 60-69%=D
Below 60% = F
Students must score at least 60% on the comprehensive final exam to be eligible to receive a course grade of C or higher.
c. It is the student’s responsibility to drop the course.
A student may drop a course or all courses prior to the end of late registration (first Friday of the term) without it being recorded on the student’s official transcript. A student initiated drop after the late registration period is considered a withdrawal, and results in the grade of W.
(Students may drop courses online until the end of the late registration period. In order to withdraw from one or more courses following late registration, a completed registration form is required. Instructions on the form indicate when a signature of instructor and/or Financial Aid advisor is required. The completed form may be submitted to Admissions & Records or any off-campus center.)
NOTE: Students may withdraw from courses until 75% of the course meetings have elapsed. No course may be withdrawn from after 75% of the course has elapsed.
9. Disabilities: Any student with a documented disability may be eligible for reasonable accommodations. To determine eligibility and secure services, students should contact Student Disability Services at their first opportunity after registration for a class(es). Student Disability Services is located on the second floor of the Taylor Building on the Twin Falls Campus. 208.732.6260 (voice).
10. Student e-mail: Since email is the primary source of written communication with students, all registered CSI students get a college email account. Student e-mail addresses have the following format: <address>@eaglemail.csi.edu where <address> is a name selected by the student as a part of activating his/her account. Students activate their accounts and check their CSI e-mail online at http://eaglemail.csi.edu. Instructors and various offices send messages to these student accounts.Students must check their CSI e-mail accounts regularly to avoid missing important messages and deadlines. At the beginning of each semester free training sessions are offered to students who need help in using their accounts.
11. Do not put off getting help! If you wait until you are totally lost, you might find it impossible to get back on track.
12. Keys to success in this class: Show up every day and pay attention; ask questions; practice by doing assignments and forming study groups; don’t quit!
13. Where to get help:
§ Ask questions in class or stop by to see me – I’m here to help you!
§ One-on-one instructor and peer tutoring are available at…
o Math Lab (SHL 207)
§ Study groups are a great resource and I encourage you to form them to do assignments, study for tests, etc.
§ Student Solutions Manuals for our textbook are available for purchase at the campus bookstore. These are not required, but some students find them useful.
14. Nondiscrimination Policy
It is the policy of the College of Southern Idaho to comply with all federal, state and local authorities requiring nondiscrimination, including but not limited to Title VI of the Civil Rights Act of 1964, the Civil Rights Restoration Act of 1987, Title IX of the Education Amendments of 1972, Section 504 of the Rehabilitation Act of 1973, the Americans with Disabilities Act of 1990 (ADA), the Age Discrimination Act of 1975, and Executive Orders 12898 (Environmental Justice) and 13166 (Limited English Proficiency). College of Southern Idaho is an equal opportunity employer.
The college does not exclude from participation in, deny the benefits of, or subject any individual to discrimination on the basis of race, color, national origin, sex, sexual orientation, gender identity, disability, income, protected veteran status, limited English proficiency, or any other status protected under applicable federal, state or local law.
For more information or if you believe you have been subject to discrimination on the basis of sex, sexual orientation, gender identity, or disability, or if you believe you have been subject to discrimination on any other basis, please contact the College of Southern Idaho’s Title IX, ADA, and 504 Coordinator: Eric Nielson--Director of Human Resources, (208) 732-6267 Or Nolan Goubeaux- Associate Dean of Student Affairs, (208) 732-6225.
15. Tentative topical outline:
Date / Section / Date / SectionAug. 25 / Syllabus,
2.1 Unit Circle / Oct. 22 / 4.1 Trigonometric Identities
Aug. 27 / 2.1 Unit Circle / Oct. 27 / 4.2 Addition and Subtraction Formulas
Sept. 1 / 2.2 Trigonometric Functions of Real Numbers / Oct. 29 / 4.3 Double Angle, Half Angle, and Product-Sum Formulas
Sept. 3 / 2.2 Trigonometric Functions of Real Numbers, 2.3 Trigonometric Graphs / Nov. 3 / 4.3 Double Angle, Half Angle, and Product-Sum Formulas
Sept. 8 / 2.3 Trigonometric Graphs / Nov. 5 / 4.4 Basic Trigonometric Equations
Sept. 10 / 2.4 More Trigonometric Graphs / Nov. 10 / 4.5 More Trigonometric Equations
Sept. 15 / 2.5 Inverse Trigonometric Graphs / Nov. 12 / Review
Exam 3 open
Sept. 17 / 2.6 Modeling Harmonic Motion / Nov. 17 / 5.1 Polar Coordinates
Sept. 22 / Review
Exam 1 open / Nov. 19 / 5.2 Graphs of Polar Equations
Sept. 24 / 3.1 Angle Measure / Nov. 24 / 5.3 Polar Form of Complex Numbers
Sept. 29 / 3.1 Angle Measure / Nov. 25-27 / Thanksgiving Break
Oct. 1 / 3.2 Trigonometry of Right Triangles / Dec. 1 / 5.3 DeMoivre’s Theorem
Oct. 6 / 3.3 Trigonometric Functions of Angles / Dec. 3 / 5.4 Plane Curves and Parametric Equations
Oct. 8 / 3.4 Inverse Trigonometric Functions and Right Triangles / Dec. 8 / Review
Exam 4 open
Oct. 13 / 3.5 Law of Sines / Dec. 10 / Final Exam Review
Oct. 15 / 3.6 Law of Cosines / Dec. 15 / Final Exam
2 p.m. – 4 p.m.
In classroom
Oct. 20 / Review
Exam 2 open
Using Blackboard to Access Outlines for Notes & Chapter Exam Answer Keys
1. Go to http://blackboard.csi.edu
2. Login with your CSI student username and password.
3. Click on our class –Trigonometry (Math 144 C01) under My Courses.
4. Click on the buttons on the left hand side to navigate the course: