MATH 114 TRIGONOMETRY Syllabus Fall 2017

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1 MATH 114 TRIGONOMETRY Syllabus Fall 2017 Instructor: Dr. Laura McCauley Office Hours: M/W 3:00-4:00, T/R 12:30-1:30 & 3:00-4:00 Office Location: Jindra (Fine Arts) 140 Address: Course Meets: M/W 8:00am 9:15am; CATS 201 Required Textbook: Title: Trigonometry Authors: STEWART/REDLIN/WATSON Edition: 2nd Edition Publisher: Cengage Publish date: 2012 ISBN: Course Description This course is intended for students who plan to pursue a college program requiring a strong background in mathematics. The course will build from basic knowledge of algebra and geometry toward a solid understanding of the modern approach to both doing mathematics and applying mathematics, especially in the areas of technology and connections between branches of mathematics. Topics include: the unit circle, trigonometric functions (definitions, graphs and inverses), right triangles, oblique triangles, trigonometric identities, trigonometric equations, the trigonometric form of complex numbers, vectors, polar coordinates, polar graphs and parametric equations. Applications from many areas of science are included. Prerequisites: None Objectives Upon successful completion of this course, the student will be able to: Locate angles in standard position and produce the ordered pairs on the unit circle associated with common angles. Find coterminal angles and convert between radians and degrees. Evaluate trigonometric functions of angles measured in radians and degrees. Evaluate the six trigonometric functions using a right triangle and a circle. Solve application problems involving right triangles Apply formulas for arc length, area of a triangle, area of a sector, angular speed and linear speed.

2 Graph trigonometric functions and identify the period, amplitude, phase shift, and location of asymptotes Solve any oblique triangle by applying the Law of Sines or Law of Cosines. Solve application problems involving the Law of Sines or Law of Cosines. Apply basic trigonometric identities and basic algebra skills to verify identities and simplify expressions Apply the sum and difference, double angle, and half angle identities. Evaluate inverse trigonometric functions and compositions of trigonometric and inverse trigonometric functions. Express complex numbers in trigonometric form and be able to find the product, quotient, powers and roots of complex numbers. Perform operations on vectors. Solve application problems using vectors. Convert between polar coordinates and rectangular coordinates and be able to graph simple equations given in polar form. Graph and analyze curves defined parametrically. Throughout the course we will discuss how these objectives fit into the College s and School s mission and goals. The instructor reserves the right to modify any aspect of the course syllabus or content. Any modifications will be communicated to students in advance. Expectations & Instructional Approach Expectations Students will be expected to read through sections as listed on the calendar. Classes will include lectures, group work, and discussion. You will be expected to complete assignments on time. You are responsible for asking questions in class and utilizing my office hours. Homework There will be a total of 25 homework assignments (10 points apiece). Check calendar for homework due dates. They are graded on completion and correctness, so show all of your work and clearly mark final answers. Worksheets There will be four worksheets (40 points apiece), one handed out prior to each hourly exam; they will be due on the day of the exam. They are graded on completion, so show all your work. Exams There will be four hourly exams (100 points apiece) and one comprehensive final exam (200 points). Attendance and participation are vital to the learning experience. Consequently, I expect you to be at each class having read the material and ready to participate in the day's discussions and exercises. Please be in class on time. In order to foster a climate conducive to learning, please join me in treating your classmates with respect. I encourage students to ask questions, seek my help when they need it, and help their classmates understand the material.

3 Assessment and Grading Grading Policy Points Each Total Number Total Points Percent of Grade Homework/Quiz % Worksheets % Hourly Exams % Final Exam % Total % Your grade will be determined by at least 900 points for an A, 870 points for a B+, 800 points for a B, 770 points for a C+, 700 points for a C, 670 points for a D+, and 600 points for a D. Attendance Attendance will be taken daily. Missing more than 7 class days (25%) will result in a failing grade. Make-Up Policy Make-ups exams will be given but only with a properly authorized excused absence. If you are unsure about your absence, ask me in advance. Make-up exams must be taken within one week of the scheduled exam day. Late homework will not be accepted for any reason. Textbook/Calculators Students are required to purchase a textbook. Calculators with standard trigonometric functions (also TI83/84) are encouraged for use on homework and in the classroom and on most exams. In order to receive full credit for problems on assignments and exams, I expect students to show enough work to demonstrate mastery of the course material. You are here to learn valuable quantitative problem-solving skills. Technology can supplement and enhance these skills, but it cannot replace them. Cell Phones Turn them off before you enter the classroom. The use of cell phones during an exam will be construed as a violation of Academic Integrity. (Don t even use one to check the time during an exam.)

4 College s Incomplete Coursework Policy To designate a student s work in a course as incomplete at the end of a term, the instructor records the incomplete grade (I). Students may receive this grade only when serious illness, hardship, death in the immediate family, or military service during the semester in which they are registered prevents them from completing course requirements. In addition, to receive an incomplete, a student must have completed substantially all of the course s major requirements. Unless extenuating circumstances dictate otherwise, students must initiate requests for an incomplete by filling out an Incomplete Grade Completion Contract, which requires the signature of the student, instructor, and Dean. The Incomplete Grade Completion contract cites the reason(s) for the incomplete and details the specific obligations the student must meet to change the incomplete to a letter grade. The date by which the student agrees to complete required work must appear in the contract. The Dean, the instructor, and the student receive signed copies of the Incomplete Grade Completion Contract. Even if the student does not attend Peru State College, all incomplete course work must be finished by the end of the subsequent semester. Unless the appropriate Dean approves an extension and if the student does not fulfill contract obligations in the allotted time, the incomplete grade automatically becomes an F. College s Academic Integrity Policy The College expects all students to conduct themselves in a manner that supports an honest assessment of student learning outcomes and the assignment of grades that appropriately reflect student performance. It is ultimately the student s responsibility to understand and comply with instructions regarding the completion of assignments, exams, and other academic activities. At a minimum, students should assume that at each assessment opportunity they are expected to do their own original academic work and/or clearly acknowledge in an appropriate fashion the intellectual work of others, when such contributions are allowed. Students helping others to circumvent honest assessments of learning outcomes, or who fail to report instances of academic dishonesty, are also subject to the sanctions defined in this policy. Instances of academic dishonesty may be discovered in a variety of ways. Faculty members who assign written work ordinarily check citations for accuracy, run data base and online checks, and/or may simply recognize familiar passages that are not cited. They may observe students in the act of cheating or may become aware of instances of cheating from the statements of others. All persons who observe or otherwise know about instances of cheating are expected to report such instances to the proper instructor or Dean. In order to promote academic integrity, the College subscribes to an electronic service to review papers for the appropriate citations and originality. Key elements of submitted papers are stored electronically in a limited access database and thus become a permanent part of the material to which future submissions are compared. Submission of an application and continued enrollment signifies your permission for this use of your written work. Should an occurrence of academic misconduct occur, the faculty member may assign a failing grade for the assignment or a failing grade for the course. Each incident of academic misconduct should be reported to the Dean and the Vice President for Academic Affairs (VPAA). The VPAA may suspend for two semesters students found to be responsible for multiple instances of academic dishonesty. The reason for the suspension will be noted on the student s transcript. A faculty member need present only basic evidence of academic dishonesty. There is no requirement for proof of intent. Students are responsible for understanding these tenets of academic honesty and integrity. Students may appeal penalties for academic dishonesty using the process established for grades appeals. Title IX Compliance Notice Peru State College is an equal opportunity institution. PSC does not discriminate against any student, employee or applicant on the basis of race, color, national origin, sex, sexual orientation, gender identity, disability, religion, or age in employment and education opportunities, including but not limited to admission decisions. The College has designated an individual to coordinate the College s nondiscrimination efforts to comply with regulations implementing Title II of the Americans with Disabilities Act, Titles VI and VII of the Civil Rights Act, Title IX of the Education Amendments of 1972, and Section 504 of the Rehabilitation Act. Inquiries regarding non-discrimination policies and practices may be directed to Eulanda Cade, Director of Human Resources, Title VI, VII, IX Compliance Coordinator, Peru State College, PO Box 10, Peru, NE , (402) Students requesting reasonable accommodation and tutoring services should contact the Center for Achievement and Transition Services (CATS).

5 Mon, Aug 21 Sun, Aug 27 Mon, Sep 4 Fri, Oct 13 Mon, Oct 16 Tue, Oct 17 Sat, Oct 28 Fri, Nov 10 Tue, Nov 14 Wed, Nov 22 Thu, Nov 23 Fri, Nov 24 Fri, Dec 8 Important Dates First Day of Classes Last Day to Drop/Add Labor Day Midterm Midterm Break Homecoming Last Day to Drop with 'W' Registration Fall Break Last Day of Classes Wed, Dec 13 Final 8:00-10:00 Course Outline Chapter Two: Trig Functions: Unit Circle Approach Section 2.1: The Unit Circle Section 2.2: Trigonometric Functions of Real Numbers Section 2.3: Trigonometric Graphs Section 2.4: More Trigonometric Graphs Section 2.5: Inverse Trigonometric Functions and Their Graphs Chapter Three: Trig Functions: Right Triangle Approach Section 3.1: Angle Measure Section 3.2: Trigonometry of Right Triangles Section 3.3: Trigonometric Functions of Angles Section 3.4: Inverse Trigonometric Functions and Right Triangles Section 3.5: The Law of Sines Section 3.6: The Law of Cosines Chapter Four: Analytic Trigonometry Section 4.1: Trigonometric Identities Section 4.2: Addition and Subtraction Formulas Section 4.3: Double-Angle, Half-Angle, and Product-Sum Formulas Section 4.4: Basic Trigonometric Equations Chapter Five: Polar Coordinates and Parametric Equations Section 5.1: Polar Coordinates Section 5.2: Graphs of Polar Equations Section 5.3: Polar Form of Complex Numbers; De Moivre's Theorem Section 5.4: Plane Curves and Parametric Equations Chapter Six: Vectors in Two and Three Dimensions Section 6.1: Vectors in Two Dimensions Section 6.2: The Dot Product Section 6.3: Three-Dimensional Coordinate Geometry Section 6.4: Vectors in Three Dimensions Section 6.5: The Cross Product

6 Read all sections PRIOR to their scheduled coverage. MATH114 Week Month Monday Tuesday Wednesday Thursday Friday 1 August 2 3 September October November December / LABOR DAY 11 EXAM / EXAM EXAM 4 11 REVIEW / / EXAM REVIEW FINAL: LAST DAY DROP/ADD MIDTERM LAST DROP W I reserve the right to modify any aspect of the course syllabus or content. Any modification will be communicated to you in advance.

7 MATH 114: Trigonometry Fall 2017 Homework/Worksheet Schedule Section Assignment Due Date 2.1 6, 12, 18, 22, 48 8/ , 24-28, 32, 48, 58, 68, 78 8/ , 24, 34, 48, 75 8/ , 14, 24, 34, 44, 54 8/ , 8, 24, 28, 38, 44 9/11 Chapter 2 Worksheet 1 9/ , 18, 28, 38, 48, 58, 68 9/ , 16, 24, 26, 36, 46 9/ , 16, 26, 36, 44, 46, 56, 66 9/ , 18, 24, 32, 42 9/ , 12, 18, 24, 30, 36, 42 9/ , 12, 18, 24, 30, 40, 46 9/ , 18, 30, 42, 66, 78, 92 9/ , 16, 24, 32, 40, 52, 64 10/ , 12, 22, 32, 42, 46, 86, / , 16, 24, 32, 40, 48, 56 10/11 Chapters 3 & 4 Worksheet 2 10/ , 9, 27, 35, 45, 55 10/ , 19, 21, 25, 29, 35, 43, 47 10/ , 19, 23, 31, 55, 69, 85, 91 11/ , 17, 25, 29, 43, 51, 57 11/06 Chapter 5 Worksheet 3 11/ , 35, 37, 41, 51 11/ , 17, 25, 29, 47, 49 11/ , 7, 11, 15, 19 11/ , 11, 15, 27, 29, 41 11/ , 9, 17, 21, 25, 29 12/04 Chapter 6 Worksheet 4 12/04

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