WACO, TEXAS INSTRUCTOR PLAN AND COURSE SYLLABUS Precalculus Math 2412.87 Matt Shelton AN EQUAL OPPORTUNITY INSTITUTION Summer II 2015
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: MATH 1314 or passing score on college algebra placement exam 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 209 Office Hours: By appointment only. I will not be in my office to answer phone calls so please use email to contact me this summer. Throughout the week I will be monitoring my email and the course discussion boards in order to answer your questions. If you want to set up an on campus meeting you must email me at least 24 hours in advance to set up an appointment. Required Text & Material: Title: MyMathLab Access Code Publisher: Pearson ISBN: 9780321199911 TI-83 or 84 graphing calculator MCC Bookstore Website 2
Methods of Teaching and 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. Course Objectives and/or Competencies: 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) 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 Orientation 4.1 Polynomial Functions and Models 4.2 Properties of Rational Functions 4.3 The Graph of a Rational Function Chapter 4 Quiz OBJ 1,2 3
Week 2 Week 3 Week 4 Week 5 Week 6 PRECALCULUS 4.4 Polynomial and Rational Inequalities 4.6 Complex Zeros: Fundamental Theorem of Algebra 5.1/5.2 Composite Functions, One to One, Inverse 5.3 Exponential Functions 5.4 Logarithmic Functions 5.5 Properties of Logarithms 5.6 Logarithmic and Exponential Equations 6.2 Trigonometric Functions Unit Circle Approach 6.3 Properties of the Trigonometric Functions 6.4 Graphs of Sine and Cosine Functions 6.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions 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 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 14.3 One Sided Limits/ Continuous Functions Chapter 5 Quiz OBJ 1,2 Chapter 6/7 Quiz OBJ 1-4 Chapter 9/10 Quiz OBJ 5-8 Chapter 12/14 Quiz OBJ 9-13 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 August 10 th. They will be your main source of practice for the quizzes. 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. 4
Unit 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 (the same amount of time you would get in a face-to-face course) to complete each quiz once you start. There is 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 may not 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 may 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 August 10 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 August 11 th. It will count as 20% of your final grade. You can check your grades using the Gradebook button on the left side of the MathLab component. The standard grading scale applies: 90 100 = A 80 89 = B 70 79 = C 60 69 = D 59 and lower = F This course will use a variety of internal and external assessments. A faculty developed comprehensive final exam will access the core objectives of critical thinking and empirical/quantitative analysis. These core objectives will also be assessed using parts of a standardized test (CAAP). A faculty designed rubric will be used to assess communication skills as well. Review of such items such as GPA, retention levels, and success in following course may be used to evaluate the effectiveness of student learning. Late Work, Attendance, and Make Up Work Policies: 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 by 11:59pm on August 10 th. 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. 5
Attendance will be monitored during the first three weeks of the semester. During that time if you accrue 2 absences you will be automatically dropped from the course. To be counted as present during any given week you must submit at least one assignment. A week begins on Monday (except the first week which begins on Wednesday) and ends Sunday night at 11:59pm. It can be a homework section or a quiz. Student Behavioral Expectations or Conduct Policy: Students should act in accordance to the General Conduct Policy in the Highlander Student Guide. 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. Academic Integrity Statement: Cheating will not be tolerated in class. Having someone else do your online homework assignment and tests are both violations of the academic integrity policy and either may result in failing grades and/or being dropped from the class. Infractions such as these will be reported to the administration for tracking and possible college action. 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. 6
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 designated ADA coordinators, Dr. Drew Canham Vice President, Student Success and Mr. Gene Gooch - Vice President, Finance and Administration 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 Ms. Renee Jacinto, Disabilities Specialist, Student Services Center, Student Development Department, Room 211 or at 299-8122 or disabilities@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, Drew Canham Vice President, Student Success 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 Drew Canham, Title IX Deputy Coordinator Vice President, Program Development Vice President, Student Success McLennan Community College McLennan Community College Administration Building, Room 417 Administration Building, Room 408 1400 College Drive 1400 College Drive 254-299-8669 254-299-8692 FAX 254-299-8654 FAX 254-299-8654 apollard@mclennan.edu dcanham@mclennan.edu 7