Lake-Sumter Community College Course Syllabus Course / Prefix Number MAC 1114 Course Title: Trigonometry CRN: Course Catalog Description: 20220 Credit: 3 Term: Spring 2011 This is a calculus preparatory course in trigonometry that, in conjunction with MAC 1140 (Precalculus Algebra), is designed to provide the student with the trigonometric skills necessary for MAC 2311 (Calculus with Analytic Geometry 1). Major topics include: trigonometric functions, their properties and graphs; inverse trigonometric functions, their properties and graphs; right triangle trigonometry; trigonometric identities; trigonometric equations; the law of sines and the law of cosines; polar coordinates; vectors; and parametric equations. NOTE: A graphing calculator is required. Email: hayesj@lscc.edu Judith Hayes Contact Information: Phone: 352-435-6410 Instructor: Office Location: SM #134 Office Hours: Mon/Wed: 8:30-9am, 11-12:30pm, 2-3pm Tues/Thurs: 8-9:30am, 1-2pm All students are required to use LakerMail for official college e-mail communications. See the college webpage for instructions on activating LakerMail. Prerequisites: Textbook and Other Course Materials: Technology and Online Computer Access Requirements: C or higher in MAT 1105 or appropriate placement score Precalculus: Functions and Graphs, 3 nd Ed. Mark Dugopolski, Addison Wesley Publishing, 2009 A Graphing Calculator is required. The TI-83 or 84 are recommended but any graphing calculator that does not perform symbolic manipulation may be used. TI-82, TI-83, TI-83plus, TI-84, TI-84plus, TI-85, and TI-86 are all acceptable calculators. Students will not be allowed to use a TI-89 or TI-92 calculator. If you are using another calculator, such as a Casio or HP, the instructor will determine if your calculator is acceptable. Course Objectives: (what the course will do) To give the student a solid algebraic and trigonometric foundation for successful completion of the calculus sequence. 1
1. The student will demonstrate and apply knowledge of the six trigonometric functions. a. Define degree and radian measure and how to convert between them, relate radian measure, arc length, and radius, and apply these ideas to linear and angular velocity. b. Develop the six trigonometric functions (sine, cosine, tangent, secant, cosecant, and cotangent) over the set of real numbers and evaluate these functions at special values using reference angles and by using technology. c. Graph the sine and cosine functions with and without technology, including scale changes and translations, and determine the amplitude, phase shift, and period from an equation or graph. d. Define, graph (including scale changes and translations), apply, and evaluate the tangent, secant, cosecant, and cotangent functions. e. Define, graph, apply, and evaluate the inverses of the six trigonometric functions. f. Apply trigonometry to solve right triangles, including real-world applications. Student Learning Outcomes (SLOs) Assessed in this Course: (what the students take with them beyond this course) 2. The student will demonstrate and apply knowledge of trigonometric identities and conditional equations. a. Develop and apply basic trigonometric identities, including definitions, reciprocals, Pythagorean identities, and odd and even identities. b. Prove (or disprove) trigonometric identities. c. Determine and apply sum, difference, cofunction, double-angle, and half-angle identities d. Solve conditional trigonometric equations. 3. The student will apply trigonometry to the solution of problems, including real-world applications. Academic Integrity: a. Develop and apply the Law of Sines and the Law of Cosines to help solve triangles, find the area of a triangle, and solve real-world applications. b. Define, graph, and apply vectors, including vector multiplication and addition, scalar multiplication, the dot product, the component form of a vector, the angle between two vectors, and real-world applications using vectors. c. Determine products, quotients, powers, and roots of complex numbers in trigonometric form, including the use of DeMoivre s Theorem for finding roots. d. Graph polar equations with and without technology and convert between polar and rectangular form. e. Define, graph, and apply parametric equations, including the parametric equation of a line segment. The successful functioning of the academic community demands honesty, which is the basis of respect for both ideas and persons. In the academic community, there is an ongoing assumption of academic integrity at all levels. There is the expectation that work will be independently thoughtful and responsible as to its sources of information and inspiration. Honesty is an appropriate consideration in other ways as well, including but not limited to the responsible use of library resources, responsible conduct in examinations, and the responsible use of the Internet. (See college catalog for complete statement.) 2
Important Information for Students with Disabilities: Privacy Policy (FERPA): Attendance/Withdrawal Policies: Any student with a documented disability who requires assistance or academic accommodations should contact the Office for Students with Disabilities immediately to discuss eligibility. The Office for Students with Disabilities (OSD) is located on the Leesburg Campus, but arrangements can be made to meet with a student on any campus. An appointment can be made by calling 352-365-3574 and specific information about the OSD and potential services can be found at www.lscc.edu, then go to Quick Links and click on Disability Services. The Family Educational Rights and Privacy Act (FERPA) (20 U.S.C. 1232g; 34 CFR Part99) is a Federal law that protects the privacy of a student s education records. In order for your information to be released, a form must be signed and in your records located in the Admissions/Registrar s Office. Regular attendance is essential to learn the material and succeed in this course. If you must miss class, you should contact a fellow student to find out what was covered, copy notes, etc. because you are responsible for what was covered. If you wish to withdraw from the course, it is your responsibility to go to the Admissions Office and do so officially, or you will receive your calculated course grade. Withdrawal Deadline: The deadline for withdrawing from this course this semester is Friday, March 25, 2011. There will be five chapter tests and a cumulative Final Exam. The 5 regular tests will count as 80% of your course grade and the Final will count at 20% of your course grade. Your lowest test grade will not be dropped but it will be replaced with your final exam grade if your final exam grade is higher than your lowest test grade. Methods of Evaluation: Make-up tests will only be given at the discretion of the instructor. You must have my permission to take a make-up test BEFORE graded tests have been returned to your class. Call or email me prior to the test date and GET A RESPONSE from me before you make plans to take a make-up test. The instructor may ask the student to supply supporting documentation (such as a doctor s note). Grading Scale: A = 90% or higher B = 80% - 89% C = 70% - 79% D = 60% - 69% F = Below 60% Course Calendar: Tentative Spring 2011 MAC 1114 T/R Daily Schedule: Thursday 1/6 5.1 Tuesday 1/11 5.2 Thursday 1/13 5.2, 5.4 Tuesday 1/18 5.3 Thursday 1/20 5.3, Review Tuesday 1/25 Test #1 (5.1 5.4) 3
Thursday 1/27 5.5 Tuesday 2/1 5.6 Thursday 2/3 5.6, 6.1 Tuesday 2/8 6.2 Thursday 2/10 6.2, Review Tuesday 2/15 Test #2 (5.5-6.2) Thursday 2/17 6.3 Tuesday 2/22 6.4, start 6.6 Thursday 2/24 6.6 Tuesday 3/1 6.6, Review Thursday 3/3 Test #3 (6.3, 6.4, 6.6) Tuesday 3/15 7.1 Thursday 3/17 7.2 Tuesday 3/22 7.3 Thursday 3/24 7.3 Tuesday 3/29 7.3, Review, start 7.7 Thursday 3/31 Test #4 (7.1 7.3) Tuesday 4/5 7.7, 7.6 Thursday 4/7 7.6, 7.4 Tuesday 4/12 7.4, 7.5 Thursday 4/14 7.5, Review Tuesday 4/19 Test #5 (7.4 7.7) Thursday 4/21 Final Exam Review Tuesday 4/26 FINAL EXAM 8:00 9:55am Classroom Rules and Policies: Violence Statement: Syllabus Disclaimer: All answers must be in simplified form. Specifications will be made in class. If you are disruptive, then I will ask you to leave. Turn off and put away all cell phones and other electronic devices before class. Students seen using these devices (for example: texting) during class will be asked to leave. They may also lose points on their next test and/or receive an F in the course at the instructor s discretion. If you are late and I am giving a test, then you have only the remaining class time to complete the test, as do the students who were on time. If you are caught cheating, you will either fail the test or fail the course, at the discretion of the instructor. No warning will be given. Lake-Sumter Community College has a policy of zero tolerance for violence as stated in College Board Rule 2.17. Appropriate disciplinary action will be taken in accordance with Board Rule 2.17. Information contained in this syllabus is, to the best knowledge of this instructor, considered correct and complete when distributed to the student. The instructor reserves the right, acting within policies and procedures of Lake-Sumter Community College, to make necessary changes in course content or instructional techniques without prior notice or obligation to the student. 4
Homework Assignments Note: The following are textbook assignments. Additional Homework Handouts will be provided by your instructor. 5.1 #1-33 odd. 41-89 odd, 90, 91-115 odd, 116 5.2 #1-27 odd, 41-47odd, 49-59 odd (but don t use reference angles. Instead do these using the same method as #3-27 odd), #61-93 odd, plus Additional Homework Handout 5.3 #1-15 odd, 21, 23, 31 39 odd, 47, 49, 55 63 odd,73, 75, plus Additional HW Handout 5.4 #1-28 all, #29-49 odd, plus Additional HW Handout Review : pp. 427-428: #1-38, 41-48, 69, 75, 81, 87, 88, 95, 96 EXAM #1 WILL COVER THE ABOVE TOPICS 5.5 #1-43 odd, 49-59 odd, 65, 67, 71-79 odd, plus Additional HW Handouts #1-3 5.6 #1-31 odd, 41-55 odd, 59 6.1 #1-27 odd, 37-75odd, 87-103odd, plus Additional HW handout 6.2 #1-103 odd, plus Additional HW Handout Review: pp. 427-429: #39, 40, 49-60, 65-68, 85, 86, 89-92, 97, 98, 101, 102, 104-106 Review: pp. 496-497: _#1-3, 5, 21,22, 31-36, 50 EXAM #2 WILL COVER THE ABOVE TOPICS 6.3 #1-95 odd, plus Additional HW Handout 6.4 #1-45 odd, 49-65 odd, 75 79 odd 6.6 #1-105 odd, plus Additional HW Handout Review: pp. 496-498: #4, #6 20, 23 26, 37-64 (exclude #50), 69-94 EXAM #3 WILL COVER THE ABOVE TOPICS 7.1 #1-37 odd 7.2 #1-49 odd, 55 7.3 #1--79 odd, 87, 89, 101, 107, plus Additional HW Handouts Review: pp. 571-572 #1-35 odd, 37-51 odd, 93-97 EXAM #4 WILL COVER THE ABOVE TOPICS 7.7 #1-21 odd, 35 38, plus Additional HW Handout 7.6 #1-53 odd, 75-97 odd, plus Additional HW Handout 7.4 #1-45 odd, Also, IF TIME PERMITS: 47-61 odd 7.5 #1-21 odd, Also, IF TIME PERMITS: 23-53 odd Review: pp.572-573: #37-71 odd, 81-91 odd EXAM #5 WILL COVER THE ABOVE TOPICS 5
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