SOUTHWEST COLLEGE Department of Mathematics

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1 SOUTHWEST COLLEGE Department of Mathematics COURSE SYLLABUS MATH 1316: Plane Trigonometry Summer, 2011 / CRN81384 / M-F 10:00am- 12:00pm / Learning Hub 223 INSTRUCTOR: Kallarackal CONFERENCE TIMES: 12pm-12:30pm by appointment CONTACT INFORMATION: Eunice.kallarackal@hccs.edu MYMATHLAB COURSE ID: Kallarackal38673 (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, (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, applications including DeMoivre s Theorem, and an introduction to vector analysis. Prerequisites: MATH 1314 or the equivalent. (Plane geometry is recommended). 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 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 tests, six quizzes and a final Make-up policy: 1

2 There is no makeup. You have the option to drop a test grade and replace it with the homework online. Grading policy: Your final course grade is based on the following standard HCC scale. Final Average 90 Avg Avg < Avg < Avg < 70 Avg < 60 Final Course Grade A B C D F Three tests (100points each) : 300points Five quizzes (out of six )20points each : 100points Final : 100points Total : 500 points Final Examination: The final exam is comprehensive, and questions on it can deal with any of the course objectives. The final examination must be taken by all students. Homework policy: Homework is assigned online for a grade under MYMATHLAB. It is optional and you may replace your lowest test grade with that homework grade. The MyMathLab Course ID to be used for registration purposes is kallarackal38673, and the school zip code is To register for MyMathLab and to access the homework, go to You may do the homework from the text book for practice but it won t be graded. Calculators: You need a scientific calculator. Graphing calculators are allowed on most quizzes and tests where graphing is not involved. Attendance policy: Attendance is checked during every class. The instructor may drop you for excessive absences. Tardiness policy: You will not be allowed to enter the class ten minutes after the class has started. Withdrawal policy: If you decide to drop the class, then IT IS YOUR RESPONSIBILITY TO DROP before the final drop date. If your name is on the roll at the end of the term, you WILL receive a grade. Neither you nor your instructor will be able to perform the drop after the final drop date. Please refer to the following notice before dropping the class. Notice: 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.. Students with more than 6 drops will be required to pay additional fees. Prior to course withdrawal, you must confer with your professor or counselor about your study habits, homework, test-taking skills, attendance, course participation, and tutoring or other assistance that is available. In order to withdraw from your class and receive a W on your transcript, you MUST contact your professor or a counselor PRIOR to the withdrawal deadline. The Final Withdrawal 2

3 Deadline is, July29, at 4:30 pm. 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. Student conduct: 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 consistently talking during instructional delivery, will not be tolerated. Any student found guilty of such 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. 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 Services Office for information. Resources and supplemental instruction: Free online tutoring is provided using AskOnline. With Mymathlab, the free Math Tutoring Center is also provided. For more information, go to the math department web page at and select the tutoring and Mymathlab links. Another helpful resource is the student solutions manual that may be obtained from the bookstore. 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 Services Office at this college at the beginning of the semester. To make an appointment, please call Professors are authorized to provide only the accommodations requested by the Disability Support Office. Course Schedule: Chapters and Sections Approximate Time Chapter 1 Angles and the Trigonometric Functions 1.1 Angles and Degree Measure 1 hour 1.2 Radian Measure, Arc Length, and Area 1 hour 1.3 Angular and Linear Velocity 1 hour 1.4 The Trigonometric Functions 1 hour 1.5 Right Triangle Trigonometry 2 hours 1.6 The Fundamental Identity and Reference Angles 1 hour Chapter 2 Graphs of the Trigonometric Functions (5 hours) 3

4 2.1 The Unit Circle and Graphing 2 hours 2.2 The General Sine Wave 1 hour 2.3 Graphs of the Secant and Cosecant Functions 1 hour 2.4 Graphs of the Tangent and Cotangent Functions 1 hour 2.5 Combining Functions (Optional) Chapter 3 Trigonometric Identities 3.1 Basic Identities 2 hours 3.2 Verifying Identities 2 hours 3.3 Sum and Difference Identities for Cosine 1 hour 3.4 Sum and Difference Identities for Sine and Tangent 1 hour 3.5 Double-Angle and Half-Angle Identities 1 hour 3.6 Product and Sum Identities (Optional) Chapter 4 Solving Conditional Trigonometric Equations (6 hours) 4.1 The Inverse Trigonometric Functions 2 hours 4.2 Basic Sine, Cosine, and Tangent Equations 2 hours 4.3 Multiple Angle Equations 1 hour 4.4 Trigonometric Equations of Quadratic Type 1 hour Chapter 5 Applications of Trigonometry (8 hours) 5.1 The Law of Sines 2 hours 5.2 The Law of Cosines 2 hours 5.3 Area of a Triangle 1 hour 5.4 Vectors 2 hours 5.5 Applications of Vectors 1 hour Chapter 6 Complex Numbers, Polar Coordinates, and Parametric Equations 6.1 Complex numbers 1 hour 6.2 Trigonometric Form of Complex Numbers 1 hour 6.3 Powers and Roots of Complex Numbers 3 hours 6.4 Polar Equations 2 hours Test Schedule: 4

5 Test Tentative Date Test #1 07/ 18/2011. Test #2 07/29/2010 Test #3 08/05/2011 Final Exam 08/11/ am-12pm Course Objectives: At the completion of this course, a student should be able to: 1. Recognize the six basic trigonometric functions and understand the relationships between them. 2. Evaluate the trigonometric functions of special angles. 3. Find reference or related angles and coterminal angles. 4. Use a calculator or a table (not on exams) to find trigonometric function values of any angle. 5. Solve right triangles. 6. Convert degrees to radians and vice-versa. 7. Solve problems dealing with the application of radian measures. 8. Solve problems relating to linear and angular velocities. 9. Recognize the graphs of the six basic trigonometric functions. 10. Know the amplitude, period, and phase shift for sine and cosine functions. 11. Sketch functions exhibiting the above properties. 12. Recognize the various identities including sum and difference angle formula, double angle formula, and half angle formulas. 13. Prove trigonometric identities using the formulas given above. 14. Solve trigonometric equations and inverse trigonometric equations. 15. Solve triangles using the sine and cosine laws. 16. Find areas of triangles. 17. Rewrite a complex number in polar form. 18. Use DeMoivre s Theorem to simplify a complex number raised to a whole number exponent. 19. Find the nth root of a complex number. 20. Solve problems dealing with vectors. 21. Recognize polar graphs. 5

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