WACO, TEXAS COURSE SYLLABUS AND INSTRUCTOR PLAN Precalculus Math 2412.87 Matt Shelton Spring 2013
Course Description: Provides a thorough treatment of the functions necessary to adequately prepare students for the calculus sequence. Topics include relations and functions, including polynomial, rational, trigonometric, exponential, and logarithmic functions; conic sections; polar coordinates; matrices and determinants; and sequences and series. Graphing calculator required. Semester Hours 4 (4 lec) Prerequisites and/or Corequisites: Prerequisite: MATH 1316 or high school credit for trigonometry or THEA score of 270 or higher or equivalent score on approved alternative test, or consent of division chair. Instructor Information: Instructor Name: Matt Shelton MCC E-mail: mshelton@mclennan.edu Office Phone Number: (254)299-8834 Office Location: MATH 207 Office Hours: MW 11:30 1:00, TTh online, Friday by appointment only Required Text & Material: Title: MyMathLab Access Code Publisher: Pearson ISBN: 9780321199911 TI-83 or 84 graphing calculator MCC Bookstore Website Methods of Learning: MyMathLab is the online component that will house the course information. All assignments will be done online in this environment. Reference materials and videos are available there as well. 2
Course Objectives and/or Competencies: PRECALCULUS Upon completion of Math 2412, the student will be able to: 1. Identify the key characteristics and properties of polynomial, rational, exponential, logarithmic, and trigonometric functions and their graphs (1,2,4,5) 2. Solve polynomial, rational, exponential, logarithmic, and trigonometric equations (2,3,6) 3. Recall exact trigonometric values and identities and use them to solve various problems (2,3,9) 4. Graph trigonometric functions (2,4,5) 5. Graph rectangular and polar equations using polar coordinates (2,4,5) 6. Perform algebraic operations on complex numbers in polar form (1) 7. Use vectors to solve application problems (5,8,9) 8. Identify the key characteristics and properties of conic equations and their graphs 9. Compute the limits of various functions (1,2,4,6) 10. Find instantaneous rate of change (1,6) 11. Find formulas of geometric and arithmetic sequences (2) 12. Find the sum of geometric and arithmetic sequences (2) 13. Use the binomial theorem (2) STUDENT LEARNING OUTCOMES: GEN ED/MATHEMATICS 1 To apply arithmetic, algebraic, geometric, higher-order thinking, and statistical methods to modeling and solving realworld situations 2 To represent and evaluate basic mathematical information verbally, numerically, graphically, and symbolically. 3 To expand mathematical reasoning skills and formal logic to develop convincing mathematical arguments. 4 To use appropriate technology to enhance mathematical thinking and understanding and to solve mathematical problems and judge the reasonableness of the results. 5 To interpret mathematical models such as formulas, graphs, tables and schematics, and draw inferences from them. 6 To recognize the limitations of mathematical and statistical models. To develop the view that mathematics is an evolving discipline, interrelated with human culture, and understand its 7 connections to other disciplines 8 Reading at the college level means the ability to analyze and interpret a variety of printed materials -- books, articles, and documents. A core curriculum should offer students the opportunity to master both general methods of analyzing printed materials and specific methods for analyzing the subject matter of individual disciplines. 9 Critical thinking embraces methods for applying both qualitative and quantitative skills analytically and creatively to subject matter in order to evaluate arguments and to construct alternative strategies. Problem solving is one of the applications of critical thinking, used to address an identified task. 3
Course Outline or Schedule: This is only a suggested schedule to keep you on pace. See below regarding due dates for assignments. Dates Lecture/Work Tests/Objectives Week 1 4.1 Polynomial Functions and Models Orientation Quiz 4.2 Properties of Rational Functions Week 2 4.3 The Graph of a Rational Function 4.4 Polynomial and Rational Inequalities Ch. 4 Quiz OBJ 1,2 4.6 Complex Zeros: Fundamental Theorem of Algebra Week 3 5.1/5.2 Composite Functions, One to One, Inverse 5.3 Exponential Functions 5.4 Logarithmic Functions Week 4 5.5 Properties of Logarithms 5.6 Logarithmic and Exponential Equations Ch. 5 Quiz OBJ 1,2 Week 5 6.1 Angles and Their Measure 6.2 Trigonometric Functions Unit Circle Approach 6.3 Properties of the Trigonometric Functions Week 6 6.4 Graphs of Sine and Cosine Functions 6.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions 6.6 Phase Shift; Sinusoidal Curve Fitting Week 7 Week 8 Week 9 Week 10 Week 11 Week 12 Week 13 Week 14 Week 15 7.1 The Inverse Sine, Cosine, and Tangent Functions 7.2 The Inverse Trig Functions (Continued) 7.3 Trigonometric Equations 7.4 Trigonometric Identities 7.6 Double-Angle and Half-Angle Formulas SPRING BREAK Catch up, work ahead, or take a break 8.1 Right Triangle Trigonometry 8.2 The Law of Sines 8.3 The Law of Cosines 9.1 Polar Coordinates 9.2 Polar Equations and Graphs 9.3 The Complex Plane; DeMoivre s Theorem 9.4 Vectors 10.2 The Parabola 10.3 The Ellipse 10.4 The Hyperbola 10.7 Plane Curves and Parametric Equations 12.1 Sequences 12.2 Arithmetic Sequences 12.3 Geometric Sequences and Series 12.5 Binomial Theorem 14.1 Finding Limits Using Tables and Graphs 14.2 Algebra Techniques for Finding Limits Ch. 6 Quiz OBJ 1,3,4 Ch. 7/8 Quiz OBJ 1 4 Ch. 9/10 Quiz OBJ 5-8 Ch. 12/14 Quiz OBJ 9 13 4
Week 16 Week 17 Review for Final Final Exam OBJ 1 13 Course Grading Information: Homework: There is an online homework assignment for each section that is covered during the semester. All of the homework assignments need to be completed by 11:59pm on May 5 th. They will be your main source of practice for the quizzes and tests. You can work on a homework assignment as many times as you want to improve your grade up until the due date. Your homework average will count 20% of your final grade. Chapter Quizzes: There will be online quizzes over the chapters covered in this course. Unlike the homework, the quizzes can only be attempted once (see make-up section below), and they are timed. You will have 80 minutes to complete each quiz once you start. There is also no way to save your progress and return at a later time to finish. You must make sure that when you start a quiz you have enough time to complete it. Also make sure that when you are done you hit the Submit Test button or else it won t record your grade, and you will not be permitted to access it again. Also if you accidentally close the quiz window or click a link that takes you away from the quiz, you will be locked out of the quiz and not be permitted to access it again. The quizzes will look exactly like the homework problems for the sections covered. The quizzes must be completed by 11:59pm on May 5 th. Your quiz average will count 60% of your final grade. Final Exam: There will be a comprehensive final exam. It will be done online and will also be timed. You will have 120 minutes to complete the final exam. The problems on the test will look like the homework and quiz problems from the previous units. The final exam will be due by 11:59pm on May 7 th. It will count as 20% of your final grade. You can check your grades using the Gradebook button on the left side of MyMathLab. The standard grading scale applies: 90 100 = A 80 89 = B 70 79 = C 60 69 = D 59 and lower = F Late Work, Attendance, and Make Up Work Policies: 5
Due dates are set for all homework, quizzes, and tests. If students do not make the deadlines, those grades become zero. I plan on dropping a couple of the lowest homework grades at the end of the semester. Each student will be allowed one make-up quiz for the semester in case you accidentally get locked out or you just make a low score. Your make-up assignment will need to be completed before you take your final exam. It is your responsibility to contact me when you ve decided which quiz you would like to make up. Instructor has the right to adapt under special circumstances. Documented inactivity in this online course will be considered nonattendance. Activity covers any work in the areas for homework, quizzes, tests. If inactivity occurs in any 4 weeks before the last day to drop, the student will be dropped from the course. MCC Academic Integrity Statement: The Center for Academic Integrity, of which McLennan Community College is a member, defines academic integrity as a commitment, even in the face of adversity, to five fundamental values: honesty, trust, fairness, respect, and responsibility. From these values flow principles of behavior that enable academic communities to translate ideals into action. Individual faculty members determine their class policies and behavioral expectations for students. Students who commit violations of academic integrity should expect serious consequences. For further information about student responsibilities and rights, please consult the McLennan website and The Highlander Guide. MCC Attendance Policy: Regular and punctual attendance is expected of all students, and each instructor will maintain a complete record of attendance for the entire length of each course, including online and hybrid courses. Students will be counted absent from class meetings missed, beginning with the first official day of classes. Students, whether present or absent, are responsible for all material presented or assigned for a course and will be held accountable for such materials in the determination of course grades. In the case of online and hybrid courses, attendance will be determined in terms of participation, as described in the course syllabus. Please refer to the Highlander Guide for the complete policy. ADA Statement: In accordance with the requirements of the Americans with Disabilities Act (ADA), and the regulations published by the United States Department of Justice 28 C.F.R. 35.107(a), MCC s 6
designated ADA co-coordinators, Mr. Gene Gooch - Vice President, Finance and Administration and Dr. Santos Martinez Vice President, Student Services shall be responsible for coordinating the College s efforts to comply with and carry out its responsibilities under ADA. Students with disabilities requiring physical, classroom, or testing accommodations should contact Renee Jacinto, Disabilities Specialist, at 299-8122 or rrjacinto@mclennan.edu. TITLE IX No person in the United States shall, on the basis of sex, be excluded from participation in, be denied the benefits of, or be subjected to discrimination under any education program or activity receiving Federal financial assistance. Legal Citation: Title IX of the Education Amendments of 1972, and its implementing regulation at 34 C. F. R. Part 106 (Title IX) In accordance with the requirements of the Title IX Education Amendments of 1972 MCC s designated Title IX Coordinator, Al Pollard Vice President, Program Development/EEO Officer and Deputy Coordinator, Phyllis Blackwood Director of Human Resources shall be responsible for coordinating the College s effort to comply with and carry out its responsibilities under Title IX. Contact information Al Pollard, Title IX Coordinator Vice President, Program Development McLennan Community College Administration Building, Room 408 Administration Building, Room 101 1400 College Drive 1400 College Drive 254-299-8669 254-299-8659 Phyllis Blackwood, Title IX Deputy Coordinator Director, Human Resources McLennan Community College FAX 254-299-8654 FAX 254-299-8592 apollard@mclennan.edu pblackwood@mclennan.edu 7