SOUTHWEST COLLEGE Department of Mathematics COURSE SYLLABUS MATH 1316: Plane Trigonometry Summer 1, 2011 / CRN 76296 / M - R 12 2:30 pm / Stafford Learning Hub INSTRUCTOR: Mrs. N. H. Bowen CONTACT INFORMATION: 713-718-5565 / nancy.bowen@hccs.edu OFFICE HOURS: 2:30 3 pm Mon. Thurs. OFFICE LOCATION: Stafford Learning Hub, Room 303.15 Feel free to contact me, or come to see me about any problems or questions you may have regarding the course. Your performance in my class is important to me. MYMATHLAB COURSE ID: bowen03262 (The Mymathlab access code is included in the book package at the bookstores. It can also be purchased separately online or at the bookstore.) Textbook: Trigonometry, 2 nd edition. Dugopolski, Mark. Pearson / Addison-Wesley: Boston, 2007. (The textbook is packaged together with the solutions manual and the Mymathlab access code at the bookstores at SW College.) Catalog Description: Topics include solutions of triangles, Euler identity, graphing of trigonometric and inverse trigonometric functions, identities, trigonometric equations and an introduction to vector analysis. Prerequisites: Math 1314: Pass with C or better Credits: 3 credit hours (3 lecture). Course Intent & Audience: This course is intended for students whose curriculum requires trigonometry as a prerequisite for higher mathematics courses. It may also be taken as a first course in trigonometry or as a review course. Students whose curricula are generally non-technical in nature may take this course as a mathematics elective if the necessary algebraic and geometric prerequisites have been met. The 1
transferability of this course as either mathematics credit or elective credit is at the discretion of the school to which the student intends to transfer. Testing policy: There will be three major tests, a homework grade, and a comprehensive final examination. Tests will be returned within a week. If a student does not perform well on the 1 st test, then it is the student s responsibility to see the instructor in order to discuss the situation. Make-up policy: NO makeup tests or quizzes will be given. The final examination grade will be substituted for a missed test. If a second test is missed, the score for that test is zero (0). Grading policy: Your final course grade is based on the following standard HCCS scale. Final Average 90 Avg 100 80 Avg < 90 70 Avg < 80 60 Avg < 70 Avg < 60 Final Course Grade A B C D F Final Average = (Test 1 + Test 2 + Test 3 + Homework Grade + Final Exam + Final Exam) / 6. Before computing the final average, the lowest of the 3 test scores will be replaced by the next lowest test score. If any test is missed, this will not be done. Notice that a test grade may be replaced, not dropped. Final Examination: The final examination is comprehensive. It will be 1/3 of the final course grade. Homework policy: All homework must be completed online using MYMATHLAB. The MyMathLab Course ID to be used for registration purposes is bowen03262, and the school zip code is 77477. To register for MyMathLab and to access the homework, go to www.coursecompass.com. Practice is essential to the mastery of mathematics, and homework assignments must be done in order to learn the concepts well. At the beginning of the next class, be prepared to ask questions about any problems that you are unable to work or any material in the textbook that you do not understand. As part of your homework, be sure to read in the textbook the next section(s) to be covered in class. Your homework grade will be the equivalent of one test grade. Calculators: SCIENTIFIC calculators or graphing calculators are recommended. However, calculators will not be allowed on some tests. Cell phones may not be used as calculators. Attendance policy: Regular attendance is essential to good performance. Attendance will be checked during every class. You will be dropped for excessive absences (3). It is your responsibility to be sure that you are marked present if you are tardy. 2
Tardiness policy: If you are tardy, then it is your responsibility to tell the instructor at the end of that class to mark you present or you will remain absent for the day. Two instances of leaving early or being tardy will count as one absence. Withdrawal policy: The State of Texas imposes penalties on students who drop courses excessively. Students are limited to no more than SIX total course withdrawals throughout their educational career at a Texas public college or university. To avoid having to drop/withdraw from a class, contact your professor regarding your academic performance. You may also want to contact a counselor to learn about helpful HCC resources (e.g. online tutoring, child care, financial aid, job placement, etc.). If you decide to drop or withdraw from a class after careful review of other options, you can drop yourself online prior to the drop deadline through the HCC Student Center. The drop deadline is June 29 th at 4:30 pm. HCC and/or the instructor may drop students for excessive absences without notification (see Class Attendance below). Students should check HCC s Academic Calendar by Term to review drop/withdrawal dates and deadlines. After the withdrawal deadline has passed, you will receive a grade. Zeros averaged in for required coursework that is not submitted will lower your semester average significantly, most likely resulting in a failing grade of F. It is the responsibility of the student to withdraw from the class; however, your professor reserves the right to withdraw you without your request due to excessive absences. Student conduct: As your instructor and as a student in this class, it is our shared responsibility to develop and maintain a positive learning environment for everyone. You are asked to respect the learning needs of your classmates and to assist your instructor in achieving this critical goal. Therefore, students should not engage in disruptive activities while in the classroom. Any conduct that is deemed detrimental to the academic atmosphere, such as cell phone use or talking during instructional delivery, will not be tolerated. Cell phones must be turned off in the classroom. The use of a cell phone during class for any purpose is not allowed. Any student found guilty of disruptive conduct will be asked to leave the classroom until further notice. Academic dishonesty: All students are required to exercise academic honesty in completion of all tests and assignments. Cheating involves deception for the purpose of violating testing rules. Students who improperly assist other students are just as guilty as students who receive assistance. All students are required to follow and be familiar with HCC Policies & Procedures and the Student Code of Conduct for Scholastic Honesty as stated in the Student Handbook. If you are charged with an offense, pleading ignorance of the rules will not help you. During a test or quiz, activities such as talking to another student, looking on another student s paper, using the book or notes, failure to cover your work or answer sheet, or using a cell phone or other recording device will be considered as cheating. In addition, students should remain in their 3
seats during a test or quiz. To answer questions, the instructor will come to the student. A student guilty of a first offense will receive a grade of F on the quiz or test involved. For a second offense, the student will receive a grade of F for the course. The use of recording devices, including camera phones and tape recorders, is prohibited in all locations where instruction, tutoring, or testing occurs. Students with disabilities who need to use a recording device as a reasonable accommodation should contact the Disability Support Service Office for information. Resources and supplemental instruction: Free online tutoring is provided using AskOnline. With Mymathlab, the free Math Tutoring Center is provided, and MYMATHLAB provides guided solutions, online lectures, and study plans. For more information, go to the math department web page at http://swc2.hccs.edu/math/, and select the tutoring and Mymathlab links. Another helpful resource is the student solutions manual that may be obtained from the bookstore. For additional help, you can see the instructor before or after class or during office hours. Students with Disabilities: Any student with a documented disability (e.g. physical, learning, psychiatric, vision, hearing, etc.) who needs to arrange reasonable accommodations must contact the Disability Support Service Office at this college at the beginning of the semester. To make an appointment, please call 713-718- 7910. Professors are authorized to provide only the accommodations requested by the Disability Support Office. Advisement: Beginning of semester MATH 1314 (College Algebra) is the course prerequisite. End of semester Students will be advised about upcoming courses. In most cases the next math course is Math 2412 which is Precalculus. Refer to the math courses flow chart on the math department home page. Instructional Methods: The instructor will strive to facilitate an effective learning environment through lectures, classroom practice activities, discussions, and review sessions. Student Responsibilities: To be successful in this class, it is the student s responsibility to complete the following tasks. Attend class and be on time. Participate in class discussions and activities. Read and study the textbook. Complete the MyMathLab homework and required assignments before the deadline. Work the reviews and study before taking the tests. Take all the tests. Pass the Final Exam. Keep copies of all paperwork, including this syllabus, handouts, and all homework assignments in a binder. Work your homework problems showing each step on paper, and enter the answer in MML. Ask for help when there is a question or problem. 4
Course Schedule: Chapters and Sections Chapter 1 Angles and the Trigonometric Functions 1.1 Angles and Degree Measure 1.2 Radian Measure, Arc Length, and Area 1.3 Angular and Linear Velocity 1.4 The Trigonometric Functions 1.5 Right Triangle Trigonometry 1.6 The Fundamental Identity and Reference Angles Chapter 2 Graphs of the Trigonometric Functions 2.1 The Unit Circle and Graphing 2.2 The General Sine Wave 2.3 Graphs of the Secant and Cosecant Functions 2.4 Graphs of the Tangent and Cotangent Functions 2.5 Combining Functions (Optional) Chapter 3 Trigonometric Identities 3.1 Basic Identities 3.2 Verifying Identities 3.3 Sum and Difference Identities for Cosine 3.4 Sum and Difference Identities for Sine and Tangent 3.5 Double-Angle and Half-Angle Identities 3.6 Product and Sum Identities (Optional) Chapter 4 Solving Conditional Trigonometric Equations 4.1 The Inverse Trigonometric Functions 4.2 Basic Sine, Cosine, and Tangent Equations 4.3 Multiple Angle Equations 4.4 Trigonometric Equations of Quadratic Type Chapter 5 Applications of Trigonometry 5.1 The Law of Sines 5.2 The Law of Cosines 5.3 Area of a Triangle 5.4 Vectors 5.5 Applications of Vectors Approximate Time 2 days 2 days 5
Chapter 6 Complex Numbers, Polar Coordinates, and Parametric Equations 6.1 Complex numbers 6.2 Trigonometric Form of Complex Numbers 6.3 Powers and Roots of Complex Numbers 6.4 Polar Equations 3 Tests (1 hour in length) Total class days 16 days Test Schedule: Test Chapters Covered on Test Date Test #1 1.1 1.6, 2.1 2.4 Wed., June 15 th Test #2 3.1 3.5, 4.1 4.4 Thurs., June 23 rd Test #3 5.1 5.5, 6.1 6.4 Thurs., June 30 th Final Exam Chapters 1 6 Wednesday, July 6 th, 12-2 pm * Drop Deadline: Wednesday, June 29 th at 4:30 pm Course Objectives & Student Learning Outcomes: At the completion of this course, a student should be able to: Student Learning Outcomes 1. Examine and interpret the graphs of basic trigonometric functions, vectors, and polar plots, and their transformations. Course Objectives 1.1 Recognize the graphs of the six basic trigonometric functions. 1.2 Know the amplitude, period, and phase shift for sine and cosine functions. 1.3 Sketch functions exhibiting the above properties. 1.4 Solve problems dealing with vectors. 1.5 Recognize polar graphs. 6
2. Apply standard trigonometric identities to simplify expressions and to solve trigonometric equations and applications. 3. Determine the exact value and approximation of basic trigonometric functions. 4. Rewrite complex numbers in polar form and apply arithmetic operations using both polar and standard forms of complex numbers. 2.1 Solve right triangles. 2.2 Convert degrees to radians and vice versa. 2.3 Solve problems dealing with the application of radian measures. 2.4 Solve problems relating to linear and angular velocities. 2.5 Recognize the various identities including sum and difference angle formula, double angle formula, and half angle formulas. 2.6 Prove trigonometric identities using the formulas given above. 2.7 Solve trigonometric equations and inverse trigonometric equations. 2.8 Solve triangles using the sine and cosine laws. 2.9 Find areas of triangles. 3.1 Recognize the six basic trigonometric functions and understand the relationships between them. 3.2 Evaluate the trigonometric functions of special angles. 3.3 Find reference or related angles and coterminal angles. 3.4 Use a calculator or a table (not on exams) to find trigonometric function values of any angle. 4.1 Rewrite a complex number in polar form. 4.2 Use DeMoivre s Theorem to simplify a complex number raised to a whole number exponent. 4.3 Find the nth root of a complex number. 7