Big Sandy Community and Technical College Course Syllabus PS Number: 54561 Semester: Fall Year: 2015 Faculty Name: Randy Mills Title: Associate Professor Course Prefix and Number: MAT 155 Sec.B001 MW 4:30 p.m. 5:45 p.m. Course Credit Hours: 3 Room: Campbell 107 Course Prerequisites: Course Title: 1. Math ACT score of 22 or above, 2. Math ACT score of 19 21 with concurrent MAT150, 3. Successful completion of Intermediate Algebra, MAT 126, or equivalent, or 4. Placement exam recommendation. Trigonometry Catalog Course Description: Instructor Contact Information: Includes the trigonometric functions, identities, multiple analytic formulas, laws of sines and cosines, graphs of trigonometric functions in rectangular and polar coordinates, and solving trigonometric equations. Emphasizes applications in each topic. (Students may not receive credit for both MAT155 and any other trigonometry or precalculus course.) Campus Location: Prestonsburg Campus Building & Room: Campbell Building Room 120N Office Hours: Tentatively, MW 1:00 p.m. 1:50 p.m., MW 3:05 p.m. 4:30 p.m., MW 5:45 p.m. 6:15 p.m., Tues. 1:50 p.m. 4:30 p.m., Thurs. 1:50 p.m. 3:30 p.m., and by appointment. Office Phone Number: (606) 889-4833 Alternate Number: 1-888-641-4132, Ext. 64833 Best Times to Call: During Office Hours KCTCS Email: Rmills0033@kctcs.edu Special Instructions: Please include your name, the class that you are in, a brief message, and a phone number where I can contact you. It is usually easier to get in touch with me via email than by phone.
Supervisor Contact Information: Name: Dr. Patsy Jackson Campus Location: Prestonsburg Building & Room: Campbell (C120H) Office Phone Number: 606-889-4711 KCTCS Email: patsy.jackson@kctcs.edu Text and Supplies: Trigonometry A Right Triangle Approach, 5 th ed. by Sullivan & Sullivan, 2009, MyMathLab access code, and a TI-83 / TI-84 (or other approved) graphing calculator KCTCS General Education Competencies Students should prepare for twenty-first century challenges by gaining: A. Knowledge of human cultures and the physical and natural worlds through study in the sciences and mathematics, social sciences, humanities, histories, languages, and the arts. Method to Achieve Competency: B. Intellectual and practical skills, including inquiry and analysis critical and creative thinking written and oral communication quantitative literacy information literacy teamwork and problem solving Method to Achieve Competency: Students will be evaluated in this course by their performance on competency based questions on the final exam. C. Personal and social responsibility, including civic knowledge and engagement (local and global) intercultural knowledge and competence ethical reasoning and action foundations and skills for lifelong learning Method to Achieve Competency: D. Integrative and applied learning, including synthesis and advanced accomplishment across general and specialized skills. Method to Achieve Competency:
Course Specific Competencies: Upon completion of the course, the student can: 1. State the definition of the six trigonometric functions in their multiple forms. 2. Compute trigonometric function values using the definitions. 3. State basic trigonometric identities. 4. Apply the trigonometric function definitions to right triangles. 5. Find trigonometric values of angles. 6. Solve right triangle application problems. 7. Solve problems involving vectors and right triangles. 8. Use radian and degree measure. 9. Solve application problems using radian measure. 10. Graph the six trigonometric functions. 11. Determine the amplitude and period of the trigonometric functions. 12. Determine the inverse functions for the six trigonometric functions. 13. Prove trigonometric identities. 14. Solve problems using the sum and difference and double-angle formulas. 15. Solve trigonometric equations. 16. Solve general triangles using the Law of Sines and the Law of Cosines. 17. Put complex numbers into trigonometric form. 18. Calculate complex roots of numbers. 19. Plot points in polar coordinates. 20. Graph equations in polar coordinates. Lab Competencies: (Enter if this does not apply.)
Course Outline: Chapter 2: Trigonometric Functions 2.1 Angles and Their Measure 2.2 Right Triangle Trigonometry 2.3 Computing the Values of Trigonometric Functions of Acute Angles 2.4 Trigonometric Functions of General Angles 2.5 Unit Circle Approach; Properties of the Trigonometric Functions Sec. 1.7: Graphing Techniques: Transformations 2.6 Graphs of the Sine and Cosine Functions 2.8 Phase Shift; Sinusoidal Curve Fitting 2.7 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions Sec. 1.8: One-to-One Functions; Inverse Functions Chapter 3: Analytic Trigonometry 3.1 The Inverse Sine, Cosine, and Tangent Functions 3.2 The Inverse Trigonometric Functions (Continued) 3.3 Trigonometric Identities 3.4 Sum and Difference Formulas 3.5 Double-angle and Half-angle Formulas 3.6 Product-to-Sum and Sum-to-Product Fromulas 3.7 Trigonometric Equations (I) 3.8 Trigonometric Equations (II) Chapter 4: Applications of Trigonometric Functions 4.1 Applications Involving Right Triangles 4.2 The Law of Sines 4.3 The Law of Cosines 4.4 Area of a Triangle 4.5 Simple Harmonic Motion; Damped Motion; Combining Waves Chapter 5: Polar Coordinates; Vectors 5.1 Polar Coordinates 5.2 Polar Equations and Graphs 5.3 The Complex Plane; De Moivre s Theorem 5.4 Vectors 5.5 The Dot Product 5.6 Vectors in Space 5.7 The Cross Product At the discretion of the instructor, some topics may be skipped or additional topics may be included if time permits.
Course Structure: This course will consist of a lecture on each new topic, discussion of material including questions from students and explanation from the instructor, homework assignments in MyMathLab, quizzes and/or worksheets, three regular hour exams, and a comprehensive final exam. Students will be expected to participate in class discussions, answer leading questions by the instructor and students may present math problems to the class on the board. Students are encouraged to seek additional tutoring at the Center for Enrichment Resources (CER). Technology/Media Component: I will utilize a graphing calculator for teaching certain concepts. Unless otherwise indicated, graphing calculators will be permitted on the quizzes, hour exams, and the final exam. Students will complete their homework assignments in MyMathLab. This course is also web-enhanced with a Blackboard course shell. Most of the lecture notes and handouts from class will usually be posted in Blackboard. Announcements and other outside-of-class communications will also be found. It is recommended that students regularly check Blackboard for material and announcements concerning in-class course work. This will be extremely important if we miss class due to snow/weather or any other unforeseen issues. Service-Learning: Course Requirements and Evaluation: Calculator: A graphing calculator is required for this course. I strongly recommend the TI-84. Most of the time, however, the students will be asked to show their work. In this case, a student who does not show his or her work will only receive approximately one point at the discretion of the instructor if a correct answer is given for a graded problem, including quizzes and exams. Calculators on mobile phones will NOT be permitted on quizzes and exams. Quiz and Homework Policy: Homework will be assigned each class meeting. Problems from the book will usually be referenced in the notes that are posted in Blackboard, but hard copies of the homework will not be collected because the homework will be completed in MyMathLab. Quizzes will usually be announced and will cover material from the assigned homework. So doing the homework will greatly increase your chance of success on the quizzes. Homework Clarification: As a rule of thumb, at the conclusion of a specific section of material, you should have the homework for that section completed by the next class meeting. Please feel free to ask questions about homework problems at the beginning of class even if the instructor doesn t ask if you have questions. Important Dates: Monday September 7 TBA Friday October 9 October 11 18 TBA TBA Nov. 26 28 Wed. December 2 Friday December 4 Labor Day (No Classes) Exam 1 (tentative) Midterm Day (no exam) Last Day to withdraw with a W at students discretion Fall Break (No Classes) Exam 2 (tentative) Exam 3 (tentative) the week of Thanksgiving Thanksgiving Holiday (No Classes after 5:00 p.m. Nov. 25) Our last day of class Last Day to Withdraw with a W at instructor s discretion Comprehensive Final Exam: TBA during Finals Week (December 7 12)
Attention: 1. If class is cancelled for any reason the day of a quiz or an exam, even if the announcement of cancellation is not made prior to class time, the exam will be given during the next regularly scheduled class meeting. 2. Mobile Phones: Students should neither make nor receive calls during class. Please set all cell phones and pagers to silent mode before class begins. Note: It is not acceptable to leave class multiple times a day to receive calls unless there is an emergency. In this case, the instructor should be notified. Further note that it is not acceptable to send or receive text messages during class. Failure to comply with this rule may result in a penalty of losing points from your grade. 3. Laptop Computers/Tablets: Students will not be permitted to have open laptop computers/tablets in class unless they can prove that they are using the computer to take notes. Need Help? Albert Einstein said Genius is 1% inspiration and 99% perspiration. In order to be successful in this course, it will be necessary to dedicate time OUTSIDE of class. If you are having trouble with this course, please do not hesitate to come to me (the instructor) for help. I will be more than happy to help you during my office hours or to set up an appointment at a mutually convenient time if you need extra help. Tutoring is also available at the Center for Enrichment Resources (CER). There will be more information about the CER later in the syllabus. Grading Policy: Attendance Grade: After the first week, one point will be assigned for everyday that attendance is taken. The attendance grade will be computed by adding together these points and then scaling the result to 50 points. Each student will be granted two free absences after the first week of class. A student will not receive an attendance point if he or she arrives after attendance has been taken OR if he or she leaves class excessively early. Homework Grade: Homework will be completed in MyMathLab. At the end of the semester I will take your homework grade as calculated in MyMathLab and enter that number into my grade book in Excel. This number will be worth 100 points. Daily Grade: The daily grade will be computed by adding together the scores you receive for quizzes and any other worksheet or group work and then scaling the result to 100 points. Cheating: Academic honesty is paramount in this class. Confirmed cheating will result in a grade of ZERO for that assignment, including homework, quizzes, and exams. The instructor reserves the right to move students during an exam to maintain the integrity of the exam. Your Grade: 3 exams (100 pts each) 300 pts Homework 100 pts Attendance Grade 50 pts Daily Grade 100 pts Final Exam 150 pts TOTAL 700 pts Grading Scale: I will be using the departmental grading scale. 90% - 100% -- A 80% - 89% -- B 70% - 79% -- C 60% - 69% -- D 0% - 59% -- E
Attendance Policy: Ultimately students are responsible for all content covered during class as well as any assignments completed in class even if they are absent. Students are expected to attend and participate in each class. Attendance is for a grade and will be taken daily. (See grading policy on previous page.) Excused Absences: Excused absences fall into four categories 1. School sponsored activities 2. Illness (must provide a doctor s excuse) 3. Death in the family 4. All other instances will be dealt with on a case-by-case basis. Inclement Weather Policy: We will NOT be cutting material from the course content due to inclement weather. Once we miss more than three days of class (including holidays), we will make-up missed class time by having extra class meetings. Additional information will be given about this procedure if needed. Missed Exam Policy: Again, each student is responsible for all assignments completed in class even if he or she is absent. If a student has an absence the day a quiz is announced, then the student must take the quiz the same day as everyone else. If a student misses a quiz or an exam, or if a student knows ahead of time that he or she will miss a quiz or an exam, the student must notify the instructor immediately by voice mail, email, or in person. Make-up exams will only be given to students who can show their absence was completely beyond their control. A student who can provide written documentation will be granted an excused absence and allowed to make up quizzes and exams. All make-ups must be completed within ONE WEEK of the missing work. There will be no make-ups for students with unexcused absences, and a grade of ZERO will be assigned. Note: A student will only be allowed ONE make-up exam during the semester and only then with written documentation or prior notification. Late Assignment Policy: Late assignments, including quizzes and exams will not receive full credit. Credit for late assignments will be based on the discretion of the instructor. Withdrawal Policy: Prior to October 9 (Midterm Day), students may officially withdraw from the course at their discretion and receive a grade of W. The instructor will allow a student to withdraw with a grade of W after October 9 (Midterm Day) if the student has continued to attend and participate in class, and in the opinion of the instructor, made a reasonable effort to perform course requirements and to pass the course. After October 9, a student will NOT be allowed to withdraw if he or she has taken fewer than two out of the three major exams. At this time, the student must contact the instructor and receive the instructor s signature on the required form in order for the W to be allowed. DO NOT COME TO ME AT THE END OF THE SEMESTER AND ASK TO WITHDRAW IF I HAVEN T SEEN YOU IN CLASS OR IF YOU HAVE NOT CONTACTED ME FOR MORE THAN THREE WEEKS.
CENTER FOR ENRICHMENT RESOURCES http://www.bigsandy.kctcs.edu/en/academics/center_for_enrichment_resources.aspx The BSCTC Center for Enrichment Resources (CER) offers students academic assistance in all subject areas. Campus Locations: Prestonsburg Campus the CER is located in the Magoffin Building, room 219. The Testing Center is located in the Magoffin Building, room 218. Pikeville Campus the CER is located in room N202. The Testing Center is located in room N216. Mayo Campus the CER is located in Building C, room 124. The Testing Center is located in Building C, room 112. Americans with Disabilities Act (ADA)Statement http://www.bigsandy.kctcs.edu/en/academics/disability_services.aspx Students with disabilities: If you are in need of an accommodation because of a documented disability, you are required to register with Disability Support Services each semester. Contact: Janie Beverley, Coordinator for Disability Support Services; Student Center Room 103; Ph: (606) 886-7359; Toll-free 888-641-4132, ext. 67359; Email: janie.beverley@kctcs.edu Additional information can be found at the following site: http://www.bigsandy.kctcs.edu/en/academics/office_hours_schedules_and_syllabi.aspx