MATH 26 Functions and Modelling for Business and Social Science FALL Semester 2008 Instructor: Brian Rodas Class Room and Time: MC 2 Tuesday and Thursday 9:30am-10:50am Office Room: MC 38 Office Phone: (310)434-8673 E-mail: rodas brian@smc.edu Office Hours: M 9:30-10:30am, TTh 12:45-1:45pm and W 9:30-10:30am(Math Study Room MC 84) and by appointment Class Website: http://homepage.smc.edu/rodas brian Homework Website: http://webassign.net/student.html Text: Sullivan,Michael & Sullivan, Michael III; College Algebra Concepts Through Functions. Prentice Hall, 2007. Course Description: This course is an INTENSIVE course designed as a preparatory course for students anticipating enrollment in Math 28(Calculus 1 for Business and Social Science). It is not recommended as a terminal course to satisfy transfer requirements. Topics include algebraic, exponential and logarithmic functions and their graphical representations, and using these functions to model applications in business and social science. The prerequisite for this course is Math 20. Homework: Homework will be assigned daily. The problems assigned are from the textbook and are meant to be practice problems in understanding the material covered for the day. It has been known that a genuine understanding and completion of the homework results in quality performance. Web Assign: Supplemental homework is downloaded and submitted on line through web-assign. These on line assignments will be graded and must be completed and entered into the web by the due date for credit. Log-in at: http://webassign.net/student.html Quizzes: There will be quizzes given occasionally. They will be approximately 10-15 minutes long. It has been my nature to give quiz problems identical to the homework. Therefore it would be in your best interest to do the homework. Each quiz will be graded out of 10 points. The lowest quiz score will be dropped. Exams: There will be three exams and a final. Exams will contain material for the chapter(s) and/or sections covered. The final is cumulative. Each exam is worth 100 points. The final is worth 200 points. Grading: Top three exams Quizzes On-line Homework Final exam Total 300 points 50 points 50 points 200 points 600 points The expectation is that a letter grade will be given using the following scale for the semester average: 90-100%(A), 80-89%(B), 70-79%(C), 60-69%(D), 0-59%(F). Calculators: Calculators can be useful when checking homework problems. However, a non-graphing calculator will only be allowed on certain exams. If allowed, you may use a silent battery-operated non-programmable calculator which does not have print out capability, have an alphabetic keyboard, or is a component of a cell phone. Academic Conduct: You are expected to abide by Santa Monica College s code of academic conduct on all exams, quizzes and homework. Copying homework solutions or quiz or test answers from
someone is considered cheating as is altering a quiz or examination after it has been graded or giving answers to someone during an exam or quiz. If caught cheating, the parties involved will receive a zero on the exam and an academic dishonesty report will be filed. Also note that cell phones are to be turned off for the duration of each class. Since attendance is essential for normal progress in class, a student is expected to be in class regularly and on time. Missing classes puts you in danger of being dropped. There are no makeup assignments, quizzes or exams. Late assignments will not be accepted. No excuses. Refer to the school s web page, www.smc.edu, for withdrawal dates. Note that the last day to withdraw with a guaranteed W is 10pm Sunday October 19, 2008 by phone/web. IT IS THE STUDENT S RESPON- SIBILITY TO BE AWARE OF WITHDRAWAL DATES AND TO TAKE THE APPROPRIATE NECESSARY STEPS. If a student does not withdraw and stops coming to class, the student will receive a failing grade. Learning Mathematics: Learning mathematics takes time and consistent effort. Attending class regularly, completing all assignments and reading class notes are essential for success in this course for most students. Students in need of additional assistance should be encouraged to make use of the Math Lab where instructional assistants, tutors and mathematical tutoring software are available. The lab is open Monday-Thursday 8am-10pm and Friday 8am-4pm. Forming study groups outside of class may also offer further support. Entry Skills for Math 26: Students should be able to do the following: A. Perform all routine elementary algebraic operations. B. Solve linear and quadratic equations and inequalities in one variable and express the answer in interval notation. C. Perform fundamental operations on polynomials and rational expressions. D. Solve application problems using equations. E. Find domain of functions. F. Perform fundamental operations on functions. G. Graph linear, quadratic, absolute value functions. H. Demonstrate the relationship between exponential and logarithmic functions. I. Solve elementary exponential and logarithmic equations. J. Solve polynomial equations by factoring. Exit Skills for Math 26: Upon completion of this course, students will be able to: A. Construct the function or equation that best models the description of a mathematical or practical situation. B. Analyze a functional model to determine information relevant to an application. C. Solve specific problems relating to, but not limited to, compound interest, supply and demand, cost, maximizing revenue and profit, and exponential growth/decay. D. Solve polynomial, rational, radical, exponential and logarithmic equations. E. Use the language and notation of the algebra of functions, including algebraic combinations and compositions. F. Use interval and set builder notation to state the domain and range of functions. G. Use algebraic principles of graphing including translations, reflections, expansions and contractions. H. Graph polynomial, absolute value, rational, radical, exponential, logarithmic, and piecewise functions without the aid of graphing devices. I. Solve polynomial and rational inequalities in one variable. J. Evaluate, manipulate and interpret summation notation using properties of sequences. K. Use geometric sequences and series and related formulas to solve problems relating to annuities. L. Use a scientific calculator to support computations for application problems. M. Rewrite algebraic expressions with rational exponents in simplest form as a product or quotient in which only positive exponents occur.
SCHEDULE OF LECTURES, HOMEWORK & EXAMS Date Section Material Homework 8/26 A.8 Solving Equations 19,29,39,43,48 A.9 Solving Inequalities 11,13,15,23,25,29,35,53,55,63,65,91,93 A.10 Problem Solving 7,9,15,17,19 8/28 F.2 Graphs of Equations F.2: 3,11,21,29,37,39,41,43,45,51 53,59,63,69,73,75 F.3 Lines F.3: 1,5,13,17,25,27,29,39,41,43,45 47,49,61,65,77,115-117,119ac 2.2 Direct Variation 2.2: 19,21,23 3.3 Inverse and Joint Variation 3.3: 57-69 odd 9/2 1.1 Functions 3,19,29,33,39,45-61odd,65,69, 73-79odd,91 1.2 The Graph of a Function 5,9,11,13,23,25,29abcd 9/4 1.3 Properties of Functions 1,5,11-35odd,41,53,59,63abc 65bc,71ce 9/9 1.4 Library of Functions 3,9-16all,17-39odd 9/11 1.4 Library of Functions 43,45,47,51ab 1.5 Transformations 1-18all,19-29odd 9/16 1.5 Transformations 31,37,45,51-69odd,73,77 9/18 Review Ch.1: 1,3,11,15,21,23,25,27 29,33,41,45,55,61,66,67 9/23 EXAM 1 Review Sections and Chapter 1 9/25 1.6 Mathematical Models 3-21odd (parts a,b only) 2.1 Properties of Linear Functions 13-55odd 9/30 2.3 Quadratic Functions and Their Zeros 11-71*,85,87 2.4 Properties of Quadratic Functions 11-18all,19,21,25,27,29,33,35 10/2 2.4 Properties of Quadratic Functions 43,47,53,59,61,65 2.6 Quadratic Models 3-25odd(omit 11,23),31 10/7 2.5 Inequalities involving Quadratic Functions 7,9,13,15,17,23 3.4 Polynomial and Rational Inequalities 5-37*,39,43,45,49,51 10/8 3.1 Polynomial Functions and Models 3,7,11,15,17,19-39odd,45,47 49,55,57-61all 10/14 3.1 Polynomial Functions and Models 63,67,73,75,77,81,86,87 3.2 Properties of Rational Functions 3,5,11,13,15,19,21-51odd 10/16 3.3 The Graph of a Rational Function 5,7,11,13,15,19,23,27,31,33 35,39,45,49a,51ab,53a,55a 10/21 Review Ch.3: 5,9,11,13,17-29odd,35,37,39 10/23 EXAM 2 on Chapters 2 and 3
Date Section Material Homework 10/28 4.1 Composite Functions 1,3,7,9,11,15,19,29ab-41ab odd 53-58all,67 4.2 Inverse Functions 9,11,13,17,19,22,25,27,31,33,37, 42,45 10/30 4.2 Inverse Functions 49,51,53,57,63,85 4.3 Exponential Functions 7,9,11,17,29-36all,37,39,49 11/4 4.3 Exponential Functions 55,63,69,73,97,101ac,111 4.4 Logarithmic Functions 9,13,15,19,23,25-39odd,45,47,49,51,55 11/6 4.4 Logarithmic Functions 59,61,63-70all,75,77,85-105odd 4.5 Properties of Logarithms 7,9,13,15,17,21,23,25,27,37,41,45 11/11 4.5 Properties of Logarithms 51,57,61,65,73,75,79,81,85,91,98 4.6 Logarithmic and Exponential Equations 5,9,13,15,17,19,23,27,35,45,47,49 55,57,61c 11/13 4.7 Compound Interest 3,9,13,17,23,31,33,35,39,47 4.8 Exponential and Logarithmic Models 3,7,13,23 11/18 Review Ch.4: 1-11odd,12,13,15,17,20, 23-33odd,39,41,51,53,55,60,63, 65,71,79,81,83,91 11/20 EXAM 3 on Chapter 4 11/25 7,1 Sequences 5,11,17,19,27,35,49,51-53, 57-77odd(omit 67) 7.3 Geometric Sequences 1,2,5,9,11,33 11/27 Thanksgiving Day (No class) 12/2 7.3 Geometric Sequences 41,47,49,51,53,55,59,63,65,71,73,77 A.7 nth Roots; Rational Exponents 77,83,85,89-97odd 12/4 REVIEW FOR THE FINAL 12/11 Final Exam 8am-11am * Every other odd problem The instructor does reserve the right to add or modify the syllabus at the instructor s discretion.
WEB ASSIGN Web Assign is a web based homework system. The purpose of this is to practice more involved problems to supplement the problems in the textbook. The website for web assign is http://webassign.net/student.html To use web assign, you will need a user name, password, and an access code. I will provide you with the user name. The sign-in sheet has your username. Please write your user name down in your notebook. YOUR PASSWORD IS YOUR STUDENT ID NUMBER. To get the access code, you can either purchase it at SMC s bookstore or you can purchase the code on line when you login to web assign. Note that if you purchase the access code on line you will need a credit card. When you go to the website, you will be asked for your user name, institution and password. The institution is SMC. Once you have logged in, web assign will inform you that you have not entered your access code. You can then purchase it online or enter the code you purchased from the bookstore or the code that was packaged in a new textbook. NOTE: For the first 14 days you will not need an access code. This is a grace period should you decide not to continue in this course. After the 14 day grace period if you decide to stay in the course, you will have to purchase the access code. You will not be able to do any of the assignments after the grace period without having entered the access code. This is a one time thing. Once you have logged into web assign, you are then able to complete any and all assignments listed by their due dates. All assignments will be due at 11:59pm. There are no extensions granted. No excuses. If you don t have access to the internet at home, you can use one of the computer labs at school including the Math Lab, the Cayton Center lab, and the Library. If you have any problems entering answers into web assign, there is an online student handbook that can help. Also feel free to come by my office and I will be glad to help you. Note that I will not take class time to go over web assign problems. Also note that everyone has different versions of the same problem. Cheating will not be tolerated, however, I do encourage you to form study groups. These problems will take you some time to do so do not wait until the last minute to do them. For the majority of the problems, you will have up to five chances to enter in answers. If you enter an answer three times and are convinced it is right, double check your syntax. If that is correct review the problem with me during my office hours. DO NOT HAVE THE MATH LAB TUTORS DO THE PROBLEM FOR YOU. They are familiar with the system and have been informed not to give you answers. They will aid you in solving the problem. One final note: Once you submit all your answers for a particular assignment, web assign will grade it and give you immediate feedback. That s great. However, do not spend all your time on web assign. You must do the homework in the book as well which will also be graded. The concepts you will learn are a culmination of development from class lectures, textbook homework, online homework, quizzes, and reviews. MY ADVICE: Don t procrastinate. Never assume. FORM STUDY GROUPS. Read the textbook. Visit the Math Lab. Come to office hours. ASK QUESTIONS.