MATH 2412 COURSE SYLLABUS COURSE : Name: Precalculus Description: Topics include elementary theory of functions and equations, analytic geometry, vectors, introductory logic, mathematical induction, sequences and finite series. Goal: This course is intended primarily to prepare students for calculus. It can also be used for general mathematics credit. See page 3 for Student Learning Objectives. INSTRUCTOR : Name: Email: Michael Sawyer michael.sawyer@hccs.edu TEXT : Precalculus by Robert Blitzer, Fifth Edition, Pearson Prentice Hall POLICY ON ATTENDANCE : Regular attendance is highly recommended. Absences in excess of 12.5% of the total number of classes may result in an administrative withdrawal. Tardiness should be kept to a minimum. POLICY ON INCOMPLETES : The following are necessary but not sufficient conditions for a grade of I : 1) passing with at least a C2) regular attendance 3) documented excuse for missing the final exam. POLICY ON DROPS : Any student wishing to drop the class must do so before the deadline stated in the Class Schedule. Lack of attendance will usually result in a poor letter grade and not a W. Note: Students who repeat a course for a third time or more may face significant tuition/fee increases at HCC and other Texas public colleges and universities. Please ask your instructor/counselor about opportunities for tutoring or other assistance prior to considering course withdrawal or if you are not receiving passing grades. POLICY ON GRADING : Four exams will be given, the lowest of which will be ignored. The homework will be assigned through MyMathLab and will be graded on a completion basis. The final exam will be comprehensive and compulsory. The following percentages will apply: Three exams ( 15% each)-------------45% MyMathLab Homework ---------------15% Final Exam-----------------------------40% The course grade will usually be determined by: 90-100 A 80-89 B 70-79 C 60-69 D 0-59 F POLICY ON MAKE-UPS : No make-up exams will be given for any reason. POLICY ON CHEATING : All students are required to exercise academic honesty in completion of all tests and assignments. Cheating on exams will result in a grade of F and a transcript note and may result in total dismissal from the college. 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. The use of recording devices, including camera phones and tape recorders, is prohibited in all locations where instruction, tutoring, or testing occurs. Note that talking or cell phone use or otherwise communicating during exams will be construed as cheating. Students with disabilities who need to use a recording device as a reasonable accommodation should contact the Disability Services Office for information. INSTRUCTIONAL SUPPLEMENTS: Any student enrolled in Math 2412 at HCCS has access to the Academic Support Center where they may get additional help in understanding the theory or improving their skill. The Center is staffed with mathematics faculty and student assistants, and offers tutorial help. A Chapter Tests preparation video CD comes with the text. A Student’s Solution Manual and MyMathLab are also available. NOTE: Americans with Disabilities Act (ADA): Any student with a documented disability (e.g. physical, learning, psychiatric, vision, hearing, etc.) who needs to arrange reasonable accommodations must contact the Disability Services Office at the respective college at the beginning of each semester. Faculty are authorized to provide only the accommodations requested by the Disability Support Services Office. If you have any questions, please contact the disability counselor at your college or Donna Price at 713-718-5165. MATH Lesson Number 2412 COURSE Date Material Covered 1 2 3 4 5 6 7 8 Pre-test 1.2-1.4 1.5, 1.7, 1.9 2.4 2.5-2.6 7.3 REVIEW 9/16 EXAM ONE 9 10 11 12 13 14 15 4.2, 4.5-4.7 5.1-5.3 5.4-5.5 6.1-6.3 6.4-6.7 REVIEW 10/14 EXAM TWO 16 17 18 19 20 21 22 9.1 9.2-9.3 9.4 9.5 9.6 REVIEW 11/4 EXAM THREE 23 24 25 26 27 28 29 10.1 10.2 10.3 10.4 10.5 REVIEW 12/2 EXAM FOUR 30 31 OUTLINE REVIEW 12/12 12:00-2:00 FINAL EXAM MATH 2412: PRECALCULUS Credit: 4 (4 lecture) Prerequisite: MATH 1314 and MATH 1316 or Department Approval Topics include elementary theory of functions and equations, analytic geometry, vectors, introductory logic, mathematical induction, sequences and finite series. Core Curriculum Course. Textbook: Precalculus by Robert F. Blitzer Publisher: Prentice Hall Pub. Date: February 2006 ISBN-13: 9780131874794 Student Learning Outcomes Course Objectives 1. Represent and manipulate algebraic and trigonometric functions and relations algebraically, graphically, and numerically, including partial fraction decomposition and finding zeroes of functions. 1.1 Develop and use various problem-solving techniques. 1.2 Recognize functions as ordered pairs. 1.3 Determine the graph of an algebraic equation or function. 1.4 Understand synthetic division. 1.5 Develop partial fraction decomposition. 1.6 Find the zeros of real functions 1.7 Solve polynomial equations. 1.8 Utilize the six basic trigonometric functions. 2. Engage in algebraic and trigonometric problem solving and modeling. 2.1 Apply the Law of sines and the Law of cosines for various types of situations. 3. Synthesize algebraic and trigonometric facts and laws into proofs. 3.1 Verify various trigonometric identities. 3.2 Find the powers and roots of complex numbers using DeMoivre’s Theorem. 4. Analyze and manipulate equations between various two dimensional systems such as rectangular, polar, vector representations, conic systems and axes manipulations, as well as solving equations in these systems. 4.1 Understand basic vectors (2 dimensional). 4.2 Convert points in a rectangular coordinate system to polar coordinates. 4.3 Recognize algebraic formulas relating to circles, parabolas, ellipses, and hyperbolas. 4.4 Use translation of axes, rotation of axes, and polar equations of conics. 5. Investigate and perform summations and predictions on geometric, algebraic and binomial sequences and series. 5.1 Recognize the use of arithmetic and geometric sequences. 5.2 Use summation notation to represent a series. 5.3 Understand and use the Binomial theorem. 5.4 Understand mathematical induction. 5.5 (Optional) Understand the basic concepts of limits.