Textbook: College Algebra: Graphs and Models, by Bittinger and Beecher, Addison Wesley Publishers, 4th Edition. ISBN#:
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1 MAC1105 SYLLABUS, Tallahassee Community College Fall, 2008 Ref #064015, TR 5:30-6:45pm, Room SM124 Instructor: Mr. Jaime Frade Office: SMA226 Office Phone: (Best way to contact!) Office Hours: TR (5:00-5:30pm) Available by apt. to setup a time. See website for more office hours. Website: & Blackboard Click on class link for grades. Each student will be given a unique 3 digit code assigned on blackboard. Use CODE to check website for handouts/quizzes/answers and for announcements. Textbook: College Algebra: Graphs and Models, by Bittinger and Beecher, Addison Wesley Publishers, 4th Edition. ISBN#: Prerequisites: One of the following must be satisfied: 1. Appropriate placement test score. 2. Grade of C or higher in MAT1033 Intermediate Algebra 3. Transfer credit with grade of at least C in course equivalent to MAT Appropriate score on ACT or SAT. OUTLINE/OBJECTIVES: Topics for MAC Functions and functional notation 2. Domains and ranges of functions Given an equation in x and y, determine the DOMAIN Given a graph, determine the domain and range 3. Graphs of functions and relations Graph vertical and horizontal translations of the basic functions, (i.e y=x 2, y = x ) Given a function, y = f(x), recognize and perform the transformations associated with y = f(x) + h, y = f(x + h), y = f(x), and y = af(x) 4. Operations of functions Given one or more function, determine formulas and/or specific range values for the composition of the functions 5. Inverse functions Determine whether a function is one-to-one Specify the inverse of a one-to-one function Give the graph of a function, sketch the graph of its inverse by reflections across the line, y = x Understand the relationship between the domains and ranges of a one-to-one function and its inverse 6. Linear, quadratic, and rational functions Given ordered pairs Be able to use the process of completing the square Solve quadratic inequalities, algebraically and graphically 7. Absolute value and radical functions Solve absolute value equations and inequalities 8. Exponential and logarithmic properties, functions, and equations Given a basic exponential function, y =a x, sketch its graph and to determine the following: y-intercept, domain, range, asymptote and whether it is increasing or decreasing Graph vertical and horizontal translations of the basic exponential function Convert between logarithmic and exponential forms Know and be able to use the properties of logarithms Use the properties of logarithms to rewrite and simplify logarithmic expressions Use a calculator to evaluate common and natural logs Use the Change of Base Formula Given an exponential or logarithmic function, specify its inverse Given a logarithm function, y = log a (x), sketch its graph and determine the following: y-intercept, domain, range, asymptote and whether it is increasing or decreasing Graph vertical and horizontal translations of the basic logarithmic function Solve equations using the one-to-one property of exponential function (5.1.4) Solve logarithmic equations Solve exponential equations using logarithms Solve applications involving exponential and logarithmic functions Attendance and Withdrawal Policy: Attendance will be checked regularly. Arriving to class late or leaving early may be counted as absences. If you accumulate more than 3 absences, you may be withdrawn from this course. However, DO NOT assume that you will be withdrawn if you stop attending class. It is your responsibility to formally withdraw yourself if you stop attending. The last day that you can withdraw yourself is November 4, If you are absent, it is your responsibility to contact me or someone in the class to find out what was covered in class. Refer to calendar in syllabus for days of importance. Contact: Phone: Contact: Phone:
2 Grading policy: You must earn at least a C in MAC1105 in order to enroll in your next math course. MAC1105 is the prereq. for Trig. (MAC2114), Precalculus (MAC2140), MAC2147 (at least a B in 1105), and Business Calculus (MAC2233). Grading scale: Method to determine grade: A: , B: 80-89, Final Notebook/Assignment = 5% C: 70-79, D: 60-69, Pretest Average= 5% F: below 60 Average of 4 unit tests = 65% Cumulative Final Exam = 25% Final Notebook: Responsible for composition notebook. One handout will be given on the day of each exam. Student will complete each handout and provide DETAILED solutions in notebook. Day after test, an assignment will be given that is based on the handout. During this time, I will collect and check notebooks. Full credit will be given for completing assignment first day. Turning in notebook in late, deducts 20%. I will only check notebooks, 4 times, each day after an exam. Quizzes: Although quizzes will be provided, none will be collected for grade. All answers and work will be provided. Either each quiz will be posted online through my website and/or blackboard. The quizzes are meant to prepare you for the exam. Exams are based in PART from the quizzes. Pretests: There will be 4 pretests assigned and collected before each exam. It will be provided and the due date will be announced either two or three days before the exam. Exams are based in PART from the pretests. Late pretests will not be accepted. Answers with solutions will be posted blackboard. Tests: I will prepare review sheets with answers, (no work) for each of my exams. It is imperative that you do no only focus your studies on this extra material. Each test will be based upon lecture, homework problems, quizzes, and review sheets. Apart from the first exam, each test will have two portions: with and without the calculator. I clear calculator s memory before every exam! Missed Test Policy: A grade of "0" will be assigned for any missed test except in the case of a dire, well documented emergency. I must be notified before or on the day of the test, no later. If approved, the zero will be replaced by a percentage (with a penalty of 0-25%) of the final exam grade. If you miss a second test, you will receive a non-removable zero. If you miss a test and show up in class as if nothing happened, expect a zero (0) grade. Makeup/Late Policy: THERE WILL BE NO MAKEUPS FOR ASSIGNMENTS OR THE FINAL EXAM Final Exam: The Final Exam will be (Tuesday) December 9, 5:30-7:30pm. (Room TBA). There will be no early, late, or makeup Final Exam. (Time subject to change!) Help: Come for help during my office hours. Also, TCC has a TCC Learning Commons (located in LC 30), where tutors are on duty many hours of the day. This is free to all students with TCC student ID cards. Other resources for help include: videos available for viewing at the media center, tutorial software. (M-T 7:30-9pm, F 7:30-5, S 10-2pm) Graphing Calculators: You are required to have a graphing calculator for this course. Bring it to class everyday. No particular brand or model is required; however, I will be using a Texas Instrument TI-83 PLUS for instruction in the classroom. I would recommend a TI-83 or TI-86. A TI-83 is required for Statistics, STA2023. Instructional videos are available in the library and Math Center. NOT ALLOWED: TI-89 or TI-92. BRING PHOTO ID TO EACH TEST & FINAL Cellular Phones and Pagers: All cell phones and pagers must be turned off before class begins. If any cell phone or pager rings during class, I will ask the owner to leave class immediately for the day. Student Conduct in the Classroom: Please refer to the TCC Student Conduct Code. I will treat all students with respect and dignity, and I expect the same in return. If any disturbances or problems occur, I will ask the student to: 1. Discontinue the behavior. 2. Leave the classroom. o If the student does not leave, TCC police will escort the student out. The student will be allowed to return once a conference with the Dean of Science and Math has been complete
3 Fall Term 2008-Tentative Calendar (3 rd edition) FRADE MAC1105 TR 5:30-6:45pm Monday Tuesday Wednesday Thursday Friday August Last day to Classes begin drop/add a class Calculator & SuppA Last day to cancel and R.7 & Calculator & 1.1 receive a refund Sept. 1 Labor Day & SuppB & SuppB & & SuppC 1.6 & & & 2.6 & & 4.2 November 3 4 Last day to withdraw with a W or AW 4.3 & Veteran s Day & Supp H TEST 4 Dec Final Exam 5:30pm-7:30pm SM SuppB2 & 1.3 TEST & & Supp D Oct. 1 2 TEST & SuppE & 2.5 & & TEST & Supp F & & Supp G & & Thanksgiving PRETEST 1 DUE PRETEST 2 DUE PRETEST 3 DUE PRETEST 4 DUE 28 Thanksgiving 5 Classes end
4 MAC 1105 Homework List (3 rd Edition) Section Page Exercises R , 23, (Odd), 61, 63 Supplement A Handout All (Odd), (Odd), 51, 53, 57, (Odd), 77, 85, 89, (Odd), (All), 113 Even Answers for : # 110 x 2 y 4 1, 2,4, 1 #112 x 5 y 3 4, 5, 3, (Odd), (Odd), (Odd) Supplement B Handout All Supplement B2 Handout All 1.3 TEST , 7, 11, 15, 19, 21, (Odd), (Odd) (Odd), (Odd) Supplement C Handout All (Odd), (Odd) (Odd), 87, , 3, 5, 7-13 (Odd; visual test only), (Odd), (Odd), 93, 95, 99, 103, 109, (Odd), 125, 127 Supplement D Handout All 2.1 TEST (Odd) 2.2 No text homework. Read pages (Odd), 35-53, (Odd), (Odd), (Odd) (Odd), (Odd) Supplement E Handout All (Odd) (Odd), 65, 66, (Odd) , 3, 7, 9, 19, 21, 39, 41, 43, 47, TEST (Odd), (Odd), 39, (Odd), (Odd), (Odd), 71, 75, (Odd), 86, (Odd) (Odd), 27, 29, 35, 43, 45, 55, 57, 61, 85, 87, (Odd), (Odd), 83, 85, 89, 93, 95, 99, 109 Supplement F Handout All (Odd), (Odd), 89, (Odd), (Odd), (Odd), 69, 75, 79 Supplement G Handout All ,3,7, and 13 Supplement H TEST 4 Handout All
5 NEW Fourth Edition Changes OLD Third Edition R-5 Solving Basic Equations R-7 CHAPTER Introduction to Graphing 1.2 Functions and Graphs 1.3 Linear Functions, Slope, and Applications 1.4 Equations of Lines and Modeling 1.5 Linear Equations, Functions, Zeros and Applications Solving Linear Inequalities 2.6 CHAPTER Increasing, Decreasing and Piecewise Functions Algebra of Functions Optional Difference Quotient Composition of Functions Symmetry and Transformations 1.7 CHAPTER Complex Numbers Quadratic Equations, Functions, Zeros and Models 3.3 Analyzing Graphs of Quadratic Functions Solving Rational Equations and Radical Equations OMIT Absolute Value Equations Solving Equations and Inequalities with Absolute Value Covers both equations and inequalities 2.5 CHAPTER Polynomial Functions and Modeling Polynomial and Rational Inequalities 3.6 CHAPTER Inverse Functions Exponential Functions and Graphs Logarithmic Functions and Graphs Properties of Logarithmic Functions Solving Exponential and Logarithmic Functions Applications and Models: Growth and Decay 4.6
6
7 MAC 1105 Homework List (4th Edition)
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