Course Information Math 1321–012 Trigonometry Spring 2016 CRN 26554 Lance D. Drager January 28, 2016 Instructor: Prof. Lance D. Drager. Office: Math 236. Office Phone: 834-8161. If you let the office phone ring long enough, you’ll get me or a voice mail system you can leave a message on. My e-mail address is lance.drager@ ttu.edu. Course materials will sometimes be posted on my web page, which is http: //www.math.ttu.edu/~drager. Office Hours: M 2:00-3:00,TWThF 2:00 to 5:00, unless I have an appointment. These hours are subject to change. You can come by outside of formal office hours; I’ll usually have time to talk to you. Please feel free to come by if you need help. Other Sources of Help: Forming informal study groups with other students can be very helpful. I’ll help all I can. The Math Tutoring Center can help you. It’s in Math 106. You can pay for tutoring outside the Math Department faculties. The Department maintains a list of outside tutors, the information can be found at the Tutoring center. Text: The text is Trigonometry 9th Edition by Lial, Hornsby, and Schneider; published by Pearson. We’re planning on using their online homework system. The information on that will be announced in class and posted on my website. Learning Objectives PURPOSE OF COURSE: This course is designated for a wide student body population. It fulfills a set of learning objectives as established by the Texas Higher Education Coordinating Board for students whose major foundation is not a mathematical one, including but not limited to: architecture, arts, earth sciences, humanities, life sciences, pre-medical sciences, pre-engineering, construction technology. Topics include: trigonometric functions, trigonometric equalities, solving triangles, sine law, cosine law, triangle geometry. 1 Course-specific Objectives: 1. Apply arithmetic, algebraic, geometric, statistical and/or logical reasoning to solve problems. In Math 1321 students will develop skills to: (1) understand and use the definitions of trigonometric functions; (2) understand and verify trigonometric identities; (3) understand vectors, operations, and the dot product; (4) graph trigonometric functions with understanding of translations, polar equations; (5) interpret information given by graphs including intercepts, domain, and range; (6) solve trigonometric equations and parametric equations; (7) use technology appropriately; (8) understand the unit circle; (9) understand when to use certain rules, properties, theorems, and formulas in the above learning outcomes; (10) model real world situations using right angle trigonometry, law of sines and cosines; (11) integrate appropriate terminology into their everyday language when discussing mathematics; (12) appraise their progress in thinking logically, increasing their mathematical confidence, and appropriate organizational skills for mathematics. Studentmastery of problem solving skills will be assessed through homework exercises, in-class quizzes, and examinations 2. Represent and evaluate basic mathematical and/or logical information numerically, graphically, and symbolically In Math 1321 students will learn how to adequately communicate mathematical information in writing, verbally and graphically, by using words, numerical answers, algebraic expressions, logical sentences, as well as graphs and diagrams. 3. Use mathematical and logical reasoning to evaluate the validity of an argument. In Math 1321 students will learn how to identify, understand and apply mathematical and logical reasoning to theoretical and applied problems. In particular, attention will be given to procedures for establishing of the validity of functional identities. 4. Interpret mathematical and/or logical models such as formulas, graphs, tables and schematics, and draw inference from them . In Math 1321 students will learn to identify and interpret mathematical information contained in formulas, graphs and tables, in particular: (a) applied triangle problems; (b) harmonic motion; (c) vectors and applications to physical problems; (d) navigational applications. The development of student interpretative and inference skills will be assessed through homework exercises, in-class quizzes, and examinations. If you need help getting started on a problem you are highly encouraged to talk with me. You may discuss the homework problems with your classmates, but after understanding how to do it, go off by yourself and write up the assignment or enter it in the computer; don’t just copy someone else’s writeup. 2 The homework is worth 25% of the final grade. There will be four in class exams, the exams count for 45%. The final will count for 30% of the grade. I will replace the lowest score on the in class exams with your score on the final, it that helps your score. There will be a curve on the exam scores and the score on the final exam. There will be a curve for the letter grades. The usual 90%, 80%, 70% and 60% system will be sufficient for the letter grade (e.g., if you have 90% or over, you’ll get an A), but the cutoffs may go somewhat lower. I can’t give percentage cutoffs until the final grades are in, but feel free to discuss your standing with me. Final Exam: The final exam is on Friday, May 13, from 1:30am to 4:00pm. It will be in our usual classroom. Formative Assessment: Continuous formative assessment of the progress of the course will occur via ongoing communication between the instructor and the students. To this end, all students are encouraged to ask questions during class and to seek the instructor’s help out of class when needed. Other activities in support of student-instructor communication will include: practice exams and quizzes, review of homework, and personal interviews with students doing poorly on work assigned at the beginning of the course. Attendance and Makeups: I will count attendance for the grade. I’ll choose an appropriate day to begin taking attendance. You are allowed 3 unexcused absences without affecting your grade. After that, each unexcused absence will lower you final score by 2 points. Note the University considers 5 or more absences as sufficient reason to drop a student from the course. The following policy will apply to excusing absence from class or for missing an exam or a homework due date. You will be excused for University sponsored events. There will be paperwork for the event that must show me to verify your attendance. In other cases, an absence will be excused for serious reasons only. You will have to provide documentation to verify the reason. This documentation will be verified by an office under the Dean of Students. Talk with them and show me the paper work from that office. The contact information is: Division of Undergraduate Education and Student Affairs Administration Building, room 162 806-742-2984 duesa@ttu.edu 3 Course Schedule 1/22–1/29 Chapter 1: Trigonometric Functions 2/1–2/10 Chapter 2: Acute Angles and Right Triangles 2/12–2/22 Chapter 3: Radian Measure and the Unit Circle 2/15 Exam 1 2/24–3/4 Chapter 4: Graphs of the Circular Functions 3/7 Exam 2 3/9–3/25 Chapter 5: Trigonometric Identities 2/30–4/11 Chapter 6: Inverse Trigonometric Functions and Trigonometric Equations 4/4 Exam 3 4/13–4/22 Chapter 7: Applications of Trigonometry and Vectors 4/25–5/4 Chapter 8: Complex Numbers, Polar Equations and Paramentric Equations 5/6–5/9 Review 5/10 Last Day of Classes 5/17 10:30am–1:00pm: Common Final The schedule is subject to change. Any changes will be discussed in class and posted to the calendar on my website. This document will not be changed. Identification: You should be prepared to show your Texas Tech picture ID at any quiz or exam. Accommodations for Disabilities: Any student who, because of a disability, may require special arrangements in order to meet course requirements should contact the instructor as soon as possible to make necessary accommodations. Students should present appropriate verification from Disabled Student Services, Dean of Students Office (AccessTECH). No requirement exists that accommodations be made prior to completion of this approved University process. Religious Holy Days: A student may be absent from class for a religious holy day, as legally defined, and will be allowed to make up any missed examination or assignment within a reasonable time after the absence. See http://www. depts.ttu.edu/officialpublications/catalog/_AcademicsRegulations.php 4 Academic Misconduct: It is the aim of the faculty of Texas Tech University to foster a spirit of complete honesty and a high standard of integrity. The attempt of students to present as their own work any work that they have not honestly preformed is regarded by the faculty and administration as a serious offense and renders the offenders liable to serious consequences, possibly suspension. For more information, and a description of what is considered to be misconduct, see http://www.depts.ttu.edu/officialpublications/catalog/_AcademicsRegulations. php Civility in the Classroom: Students are expected to assist in maintaining a classroom environment that is conducive to learning. In order to assure that all students have the opportunity to gain from time spent in class, unless otherwise approved by the instructor, students are prohibited from engaging in any other form of distraction. Inappropriate behavior in the classroom shall result, minimally, in a request to leave class. For more information, see http://www.depts. ttu.edu/officialpublications/catalog/_AcademicsRegulations.php 5