CCBC, Fall 2012 MATH 163: College Algebra, Section ENA School of Mathematics and Science Mathematics Department I) Basic Course Information A) Instructor s Name: Danielle Truszkowski B) Instructor s Office Room Number: F-410E Instructor s Contact Information: Phone at 443-840-1528/Email at dtruszkowski@ccbcmd.edu C) Instructor s Office Hours: T/TH 2:05-2:35 W 12:10-1:10 please email me. I am willing to accommodate. D) School of Mathematics and Science Campus Phone Number : 443-840-2662 E) Class Meeting Day(s), Time(s), and Location(s):T/TH 12:45-2:05 F) Out of Class Work Expectations: This is a three-credit course offered over 14 weeks. You are expected to complete at least 6 hours of work per week outside of the class including reading, class preparation, homework, studying, etc. G) Materials Needed: Textbook Algebra and Trigonometry, 3 rd edition, by Stewart, Redlin, and Watson A graphing calculator is recommended but not required for this course. A recommended calculator is the TI-83 or TI-84. Calculators with advanced capabilities, such as a TI-89, are not permitted for use. After purchasing your WebAssign code, you can use that code along with your class key: ccbcmd 7272 2859 to log into WebAssign H) Prerequisites: (RDNG 052 or LVR2) and (ENGL 052 or LVE 2) or (ESOL 052 or LVE 2) and Algebra I and II in high school and a satisfactory score on the placement exam; or (MATH 083 or LVM 3). I) Course Description: Explores the nature and scope of college mathematics through the study of functions. Topics include the study of polynomial, rational, radical, piece-wise defined, and absolute value functions and their graphs and applications as well as modeling with these functions. Additional topics include complex numbers, the binomial theorem, inverse functions, operations with functions, exponential and logarithmic functions and their graphs and applications. II) Overall Course Goals A) Course Objectives Upon completion of this course, the students will be able to: i) Produce and compare graphs of absolute value and piecewise-defined functions; ii) Solve inequalities in one and two variables; iii) Solve absolute value inequalities in one variable; iv) Identify domain and range of functions; v) Produce and compare graphs of functions, using translations, symmetry, end behavior, and asymptotes;
vi) Combine two or more functions using addition, subtraction, multiplication, division, or functional composition; vii) Identify the inverse of a given function; viii) Identify the function, given information about the function; ix) Model numerical data using quadratic functions to further analyze data and predict values; x) Perform operations with functions; xi) Produce and compare graphs of exponential and logarithmic functions; xii) Solve problems using exponential and logarithmic functions; xiii) Produce and compare graphs of polynomial functions; xiv) Identify the zeros of polynomial functions; apply the Fundamental Theorem of Algebra; xv) Identify the equation of a polynomial using the Theory of Equations and given sufficient information about its zeroes; xvi) Apply the Binomial Theorem to determine the coefficients of a polynomial; xvii) Solve rational equations; xviii) Produce graphs of rational functions; xix) Construct a solution to real world problems using problem methods individually and in groups; xx) Examine the mathematical contributions made by people from diverse cultures throughout history. xxi) Articulate a solution to mathematical problems; and xxii) Apply appropriate technology to the solution of mathematical problems. B) Major Topics i) Absolute value equations and inequalities 1) Absolute value equations 2) Absolute value inequalities ii) Functions 1) Review domain, range, and functional notation 2) Modeling data with linear regression function 3) Review parallel and perpendicular functions 4) Review quadratic functions and their graphs 5) Graphing techniques using shifting/stretching techniques 6) Absolute value and piecewise defined functions and their graphs iii) Polynomial Functions 1) Graphs of polynomial functions 2) Zeros of polynomial functions 3) Complex numbers and theory of equations 4) Fundamental Theorem of Algebra 5) Modeling with polynomial functions iv) Binomial Theorem 1) Expanding a binomial 2) Finding a term in a binomial expansion v) Rational Functions and Radical Functions 1) Graphs of rational functions 2) Graphs of radical functions
3) Equations and inequalities of rational and radical functions vi) Combinations of Functions 1) Arithmetic operations on functions 2) Composition of functions 3) One-to-one functions 4) Inverse functions vii) Exponential and Logarithmic Functions 1) Definition and graphs of exponential functions 2) Definition and graphs of logarithmic functions 3) Properties of logarithms 4) Solving exponential and logarithmic equations 5) Applications of exponential and logarithmic functions C) Rationale: College Algebra is the first course in the Calculus track. The students will be introduced to the basics of linear and quadratic equations and inequalities, basic polynomial and rational functions, transcendental functions, systems of equations and basic matrix operations. This course is a prerequisite for Pre-Calculus and will lay the ground work for the more intensive topics covered in that course. III) Evaluation A) Requirements: A scientific or graphing calculator is recommended and may be used in class for homework, quizzes, and exams. The TI-89, TI-92, and any other calculator with computer algebraic capabilities are not permitted in Math 163. I will be using a TI-84 Plus silver edition for some lectures. You MUST always show all algebraic work on all assignments! B) Instructor s Grading Policy: Three Chapter Exams: 300 points (100 points each) Quizzes/Project: 150 points (30 points each) There will be 6 quizzes given throughout the semester. The lowest grade is dropped. Homework: 45 points. Final Exam: 150 points (cumulative). Total of 645 points! A final course grade will be assigned using the following criteria: Final Average At least 90% At least 80% and less than 90% At least 70% and less than 80% At least 60% and less than 70% Less than 60% Final Grade A B C D F
C) Math Department Attendance Policy i) You are expected to attend all scheduled classes. ii) Attendance is critical to student success in college. iii) Satisfactory attendance is defined to be at most six hours of unexcused absences. iv) Documentation of the reason for your absence(s) may be required. v) The instructor may count each unexcused tardy arrival as an absence and each early departure as an absence. D) Math Department Audit Policy: Students may change from credit to audit only during the published 50% refund period, as indicated in the CCBC academic calendar. Students who audit are required to attend class, participate in course activities, and complete assignments (except for tests and the final exam) in accordance with instructor guidelines and due dates. For students who do not meet these requirements, the instructor may change their grade from AU to W. IV) Course Procedures A) : IT IS IMPERATIVE THAT YOU DO NOT FALL BEHIND IN THIS COURSE. QUESTIONS ARE ENCOURAGED, AT ALL TIMES AND THE MORE THE BETTER. NO MAKE-UP EXAMS EXCEPT UNDER UNUSUAL CIRCUMSTANCES. IF YOU MISS AN EXAM DUE TO AN EMERGENCY, YOU MUST NOTIFY ME BEFORE THE SCHEDULED EXAM, AND DOCUMENTAION MAY BE REQUIRED. ANY MAKE-UP EXAM MUST BE TAKEN BEFORE THE FIRST CLASS AFTER WHICH THE ACTUAL EXAM WAS GIVEN. IF THESE CONDITIONS ARE NOT MET, YOUR SCORE ON THE EXAM WILL BE A ZERO. B) College Wide Policies: For college-wide syllabus policies such as the Code of Conduct related to Academic Integrity and Classroom Behavior, or the Audit/Withdraw policy, please go to the MySyllabiPolicies tab on the MyCCBC page in the Student Portal. C) Contact information for course-related concerns: Students should first attempt to take concerns to the faculty. If students are unable to resolve course-related concerns with the faculty member they should contact Sylvia Sorkin, Campus Coordinator of Mathematics, at SSorkin@ccbcmd.edu or 443-840-2661. D) Course Calendars Fall 2012 Academic Calendar: http://ccbcmd.edu/registration/fall_collegecal.html Fall 2012 Final Exam Schedule: http://ccbcmd.edu/media/registration/finalexams_fall.pdf E) Suggested Homework Assignments *The following sections will be covered in a review format: 1.1, 1.4, 2.2, 2.4, 3.1 Section Problems *1.1 13-31 (odd), 37-43(odd), 51-63 (odd), 83, 85, 87 1.2 31, 33, 41, 45-59 (odd) 1.3 5-39 (odd), 65, 69, 79, 81, 83, 87, 97
*1.4 15-43 (odd), 57-65 (odd) 1.5 5-31 (odd), 61, 63, 65, 75 1.6 15-19 (odd), 23,29,33,35,37,43,45,53-57 (odd), 61, 67,69, 83, 85, 91 1.7 5-17 (odd), 27-35 (odd), 39, 41, 43, 58 *2.2 37-47 (odd) *2.4 5, 13, 19, 23, 31, 33, 35,37, 47, 53, 55, 67, 70 Page 1, 3, 5, 9, 11 176 *3.1 17, 19, 21, 27, 29, 31, 32, 33, 35, 37, 41, 43, 47, 49, 51, 61, 69, 77 3.2 37, 41, 43, 49, 51, 53, 82 3.3 5, 7, 19, 21, 31, 33, 45, 47 3.4 1-15(odd), 19, 23, 25 3.5 5-53 (odd), 61, 63, 75-81 (odd) 3.6 5-9 (odd), 21-43(odd) 3.7 5, 15, 21, 27, 31, 35, 41, 47, 51, 53, 57, 64, 71, 78, 81, 85 4.1 5, 7, 9, 13, 15, 17, 25, 27, 33, 35, 45, 47, 51, 53, 63-69 4.2 1, 11-39 (odd), 47, 49 4.3 3, 5, 7, 11, 13, 19, 21, 23, 29, 31, 33, 35, 41, 47, 49, 53-67 (odd) 4.4 5-13 (odd), 25, 35, 43, 45, 49, 51, 55, 59, 61, 67, 69 4.5 5, 7, 11, 21, 27, 31, 35, 37, 39, 41, 45-61 (odd) 4.6 7-13 (odd), 23, 25, 27, 31, 33, 37, 39, 47, 51, 53, 57, 63, 67, 69, 83, 85 5.1 9-13 (odd), 25-33 (odd), 47, 48 5.2 7-13 (odd), 21 5.3 3, 4, 9, 11, 15, 17, 21-35 (odd), 45, 47, 53, 55, 59, 63, 65, 67 5.5 3-19 (odd), 37-43 (odd), 75,79 13.6 6, 9, 13, 17, 23, 25, 33, 37