ࡱ> XZWf[ hbjbj 7ΐΐ`%H H 8\3t'=8:"777<<<<<<<$_>A<D77DD<4<T T T D<T D<T T 9*; V  f:<<0'=:AA4*;*;A>;T7vTT DE777<<777'=DDDDA777777777H Q:  MATH 102 COURSE SYLLABUS GENERAL INFORMATION Semester and Year: Fall 2008 Course title and Number: College Algebra 102 Text: Shore, College Algebra: Using Technology to Solve Real Life Problems, Prentice Hall, 2007. Instructor: Dr. Mark Shore Phone: 301-784 5371 e-mail:  HYPERLINK "mailto:mshore@ac.cc.md.us"  HYPERLINK "mailto:mshore@allegany.edu" mshore@allegany.edu Note: When sending an e-mail to the instructor use the word Algebra in the subject line. Office location/hours: Humanities Building room H-30 MWF 9:00-10:00 and TTh 9:30-10:00 and by appointment Day & Time of Class: MWF 10-10:50, 12-12:50, and TTh 9:30-10:45, 11:00-12:15, and WEB course. Excel/Graphing Calculator: You will need to use either Excel or a graphing calculator in this course. You do not need to know how to work Excel prior to this course. All the Excel worksheets have already been put together. For students that would rather use a graphing calculator, I recommend the TI-83 Plus. Your book comes with a Video CD that have over 30 hours of video showing how to solve problems using Excel or a TI-83 graphing calculator or pencil and paper. Videos on how to use Excel and how to use your TI-83 calculator are also on your Blackboard site. Web Pages http://www.allegany.edu then click on  EMBED MSPhotoEd.3  (For Blackboard) *Please note: Under extenuating circumstances, the instructor has the right to change any course provision or requirements during the semester. I. PURPOSE A. Description: This is a course in College Algebra. It begins with a review of topics in Intermediate Algebra such as: operations with exponents, radicals, and solutions of linear and quadratic equations. However, these topics are covered in an applied nature not in a theoretical nature. Also, the student will be shown how to use spreadsheets (Excel) and/or graphing calculators to aid in solving the various applied problems. The course progresses through the study of functions, solving and graphing linear, quadratic, polynomial, rational, exponential, logarithmic, and logistic equations, and solutions to systems of equations and matrices. If you plan on taking Calculus or Business Calculus, you should take pre-calculus, not this course. This course reflects the importance the outside world places on thinking and problem solving. Students engage in solving realistic problems using information and the technological tools available in real life. General Education and other essential core skill goals: Students will communicate the reasoning and the results of their solutions to real-life problems through class discussions, interactive group activities, projects, presentations, or written reports. Use arithmetic, algebraic, geometric, technological, or statistical methods (as needed or appropriate) to solve realistic problems. Use mathematical reasoning for problem solving, test conjectures, judge the validity of arguments, and to communicate the reasoning and evaluate the results. Interpret mathematical models of scientific data given verbally, or by formulas, graphs, tables, or schematics. Students will utilize the library, Internet, faculty, or college resources to aid in their understanding of mathematical concepts. Students will use graphing calculators, spreadsheets, word processors, the Internet, computer programs, and other technology (as needed or appropriate) to solve realistic problems. Objectives and Intended learning outcomes for College Algebra: Student will work collaboratively to solve real-life mathematical problems that reflect the students career field and major using appropriate technology (word processing, Internet, spreadsheets and/or graphing calculators). Relates to General Education Goals listed above (1,2,6) Student will develop the problem solving skills, and work ethic needed to solve critical thinking problems. Relates to General Education Goals (1,3,4) Student will be able to evaluate and understand tables of data, charts, and graphs using appropriate technology. Relates to General Education Goals (4,6) Student will understand the differences between linear and non-linear relationships and their use in real-life situations. Relates to General Education Goals (4,6) Student will be able to model and explain real-life situations using mathematics and appropriate technology. Relates to General Education Goals (4,6) To examine the concepts of College Algebra in terms of their real-life application. Relates to General Education Goals (2,4) To enable the student to solve various types of statement problems. Relates to General Education Goals (2,3) To develop a real world mathematical modeling project. Use the library, Spreadsheets, Word processor, Internet, or other college resources to gather data, write paper, draw a conclusion, supply sources of information, and give an oral presentation. Relates to General Education Goals (1,2,3,4,5,6) To provide the student with mathematical background needed for other courses in the natural, social and life sciences. Relates to General Education Goals (2,4) II. COURSE POLICIES A. Attendance: The instructor may withdraw students that; 1. Do not meet the prerequisite for the course. 2. Do not take more than one assessment (quiz or test) by the date given without advance notification given to the instructor. 3. (For non-web students) Have more than one unexcused absents before the end of the third week of class or more than three unexcused absents by the last day to withdraw with a W. Note: If you arrive to class after roll has been taken, you will be marked absent. B. Behavior problems: 1. Language: Offensive or inappropriate language will not be tolerated in this classroom. 2. Cell Phones: Cell phones must be turned off during class. 3. Tardiness: If you are late for class, you will be marked absent. If any of the actions above occur, the student will not be allowed to enter the classroom again until a 500 word essay is typed describing problems caused by this kind of behavior and how you plan to correct this behavior. The paper must be handed to the instructor before the next class. The student will not be allowed back into class until the essay is given to the instructor. Each class that the student misses from not completing the paper, will be counted as an unexcused absence. Once the student is over the limit for the number of unexcused absences (as listed in the first paragraph of this page) the student will be dropped from the course. Remember that the instructor is in charge of the classroom and other classroom rules that your instructor has will be emphasized. Classroom rules are designed to enhance a better learning environment for ALL students. You need to check Blackboard every weekday to check on quiz and test due dates. If a student misses a quiz or test due to a college sanctioned activity, death in the family, or illness, the student will be able to make-up that quiz or test if the instructor is notified in advance either in person, phone, or e-mail. Without advance notification, either in person, by phone, or by e-mail, you will not be allowed to make up the test or quiz. C. Participation: If you have a math related question or message then either ask me in class or during office hours, or call, or send me an e-mail. You can send an e-mail to the instructor or any student in the class using the Communications button and then clicking on Send e-mail. Please keep your messages on the topic of mathematics. The more you put into the course, through your involvement with the course material (videos, textbook, and homework problems), instructor, and fellow students, the more you will get out of the course. List of resources: All resources for this course are on the Blackboard site for this course. This includes over 20 hours of video instruction, all of your tests and quizzes, the Excel sheet for the course, and staff information. The Blackboard website is http://blackboard.allegany.edu. Then type in your user name. Your user name is your first initial, middle initial, last name (John E. Brown would be jebrown). If there are duplicates, then a number is added at the end of the user name (Jennifer E. Brown would be jebrown2). Your password is initially set to be your student ID number. If the student wants to change his/her password, they can do so by editing their personal information and entering a new password. You will need to use the library for obtaining sources for the statistics critique. Read the textbook section we are going to cover before it is covered in class. This will aid in your understanding of the material. Any beginning statistics book will have the same topics. Tutoring, extra help sessions, or special needs: Tutoring and extra help sessions are available from the instructor, or the Student Support Center (H-58). If you have a disability, which impairs your access to this course or your ability to pursue the coursework as it is presented, please see to the Student Support Center (H-58). Grading: This course reflects a shift in the importance that the world outside the schools increasingly places on thinking and problem solving. Procedural skills alone do not prepare students for that world. Therefore, students deserve a curriculum that develops their mathematical power and an assessment system that enables them to show it. Assessments that match the current vision of school mathematics involve activities that are based on significant and correct mathematics. These activities provide all students with opportunities to formulate problems, reason mathematically, make connections among mathematical ideas, and communicate about mathematics. Students engage in solving realistic problems using information and the technological tools available in real life. 1. 5-Tests 400 2. 15-Quizzes 75 3. Project (Optional) 50 Total number of points possible 475 (no project) 525 (if you do the project) Grading Scale: 90% to 100% = A 80% to 89% = B 70% to 79% = C 60% to 69% = D 0% to 59% = F A student who earns a final average of 70% or more on all assessments of objectives and intended learning outcomes for the College Algebra course has successfully fulfilled the general education and other essential core skill goals listed in section 1B. Note: The grade of X will be given to students that do not pass, but can prove to the instructor that they have done all the homework (work must be shown), quizzes, and tests. Any extra credit problems are given to the entire class. There are no extra credit problems for any one individual during any part of the semester. G. Plagiarism/Cheating: The college has established a policy regarding cheating. When you take a test, you are not allowed to have your notes or book on your desk and you are not allowed to talk to another person. You are not allowed to have any cell phones out during the test. H. Assessment of Student Learning: Tests and Quizzes are to be taken on the day specified or in advance on Blackboard. There are 5 tests in the course and 15 quizzes. You are allowed to use any of your class materials for the quizzes. The date that a quiz or test needs to be taken by, will be listed on Blackboard under Tests and Quizzes. Quizzes may be taken at any location in which you have a reliable Internet connection. Tests are password protected and must be taken at one of the colleges testing lab. Many of the questions are fill in the blank. Only type in the answer, do not type in units (such as $ or pounds, etc.). Type in answers as decimals rounded to the nearest hundredth, unless the problem states otherwise. You are only allowed to take each quiz and test once, and I do not curve grades. If a real-life problem has no solution, then just type in the word, Never. Students who miss a test due to a prolonged illness may contact the instructor in advance by telephone or e-mail. I have an answering machine in my office, so you can leave a message at anytime. This course is NOT, learn at your own pace. You must keep up with the course schedule to be prepared for the tests and quizzes. If you do not take a test or quiz by the date given on Blackboard under Tests and Quizzes (and you do not give advance notification), you will receive a grade of zero on that test or quiz. Once you start the quiz or test you can NOT left mouse click on any of the buttons on the Blackboard site or your test will automatically close and you will not be able to reopen the test. Note: If you accidentally start the test without opening Excel first, you can right mouse click on the button on BB that says Excel/Syllabus and chose Open in a new window. You will need to have Excel on the computer you are using. Blackboard lock ups: Always right down your solutions to each question on every quiz and test before you submit the test. After you submit your test, you should get a score on the test. If you do not get a score on the test, immediately e-mail me your solutions and I can check your test. If your e-mail is not sent immediately, I will not accept the e-mail as being your solutions. Any student that gets locked on Blackboard and does not immediately send me their solutions, will need to re-take the test. Exam Make-up: Make-ups for tests will only be given for those students who give their instructor advance notification of missing a test with adequate written verification. These students will take makeup tests before the following class period. Tests and quizzes may also be taken ahead of schedule. If a test or quiz is missed without advance notification, a grade of ZERO will be recorded for that test or quiz. Students that get good grades tend to find a study partner or group to work with and have a good work ethic. Almost all students that fail the class do so because of lack of doing the homework or a lack of effort. Get assistance as soon as possible from another student, the teacher, the instructional assistance center, or from a friend if needed. Only from trying the homework can you find out if and where the problem is for you. If you have been away from algebra for more than six months, you will need to spend more time than usual (greater than 6 hours per week) on refreshing yourself with material you have forgotten. Remember, this class covers a course beyond High school Algebra II in just 45 hours of class time. The purpose of the homework is to make you better prepared for quizzes and tests. COURSE REQUIREMENTS Outline of Topics: P.1 - P.9 Preliminaries and learning to use Excel or your graphing calculator. TEST I (100 points) 1.1 1.4 Graphing and modeling linear and quadratic relationships TEST II (100 points) 2.1 - 2.4 Composition of functions and graphing and modeling polynomial, power, and rational functions Test III (60 points) 3.1-3.4 Graphing and modeling exponential, logarithmic and logistic functions Test IV (40 points) 4.1 4.3 and 4.5 Applications of systems of equations and matrices Cumulative Final (100 points) College Algebra - Math 102 Homework You may use a calculator or Excel on all problems and tests. Homework problems are at the end of each section. Do as many homework problems that are needed till you understand the material. Focus on the applied problems. Homework is not collected. Answers to odd problems are in the back of the book and answers to even problems are either at the end of the book or on the BB site under corrections to the book. Chapter P Preliminaries and learning to use Excel or your graphing calculator P.1 Evaluating expressions and equations P.2 Integer exponents and scientific notation P.3 Polynomials P.4 Applications of linear equations P.5 Literal equations P.6 Applications of quadratic equations P.7 Imaginary and complex numbers P.8 Radicals and rational exponents P.9 Absolute value equations and radical equations TEST I 100 points Chapter 1 Graphing and modeling linear and quadratic relationships 1.1 Graphing linear and nonlinear equations 1.2 Functions 1.3 Linear modeling 1.4 Quadratic functions TEST II 100 points Chapter 2 - Composition of functions and Graphing and modeling polynomial and rational functions 2.1 Composition of Functions Polynomial Functions of Higher Degree Power Functions Rational Functions TEST III 60 points Chapter 3 - Graphing and modeling exponential, logarithmic and logistic functions 3.1 Exponential functions 3.2 Logarithmic functions Exponential models, Logarithmic, and Logistic models TEST IV 40 points Chapter 4 - Systems of Equations and Inequalities and matrices 4.1 Linear systems of equations 2 X 2 4.2 Linear systems of equations 3 X 3 and higher 4.3 Nonlinear systems of equations 4.4 Systems of inequalities (We will be skipping this section) 4.5 Operations with matrices and applications TEST IV and cumulative final on chapters 1-4 approx. 100 points Project (Optional) 50 points. Note: This is not 50 bonus points College Algebra - Learning Objectives Chapter P Preliminaries and learning to use Excel or your graphing calculator P.1 Evaluating expressions and equations: Student will be able to evaluate real-life applications (models) that are polynomials, rational, piece-wise defined and power. P.2 Integer exponents and scientific notation: Student will be able to simplify expressions having integer exponents, solve banking problems involving compound interest, and solve applied problems involving scientific notation. P.3 Polynomials: Student will be able to translate words to expressions in which students will need to multiply polynomials together. P.4 Applications of linear equations: Student will be able to translate words to linear equations (or be given a linear model) which students will need to solve. P.5 Literal equations: Student will be able to solve by pencil linear equations which have two or more variables for a particular variable. Solving the linear literal equation may involve factoring out a common factor. The literal equation may be given to the student in the form of a model. Students will not have to derive their own model. P.6 Applications of quadratic equations: Student will be able to translate words to quadratic equations (or be given the quadratic model) which students will need to solve. Applications will also include perimeter and area of a rectangle. P.7 Imaginary and complex numbers: Student will be able to translate words to expressions in which students will get an imaginary solution. Students will be able to add, subtract, multiply, and divide complex numbers. P.8 Radicals and rational exponents: Student will be able to simplify expressions that involve radicals and rational exponents. This includes converting between rational exponent form and radical form and multiplying and dividing radicals with the same base. P.9 Absolute value equations and radical equations: Student will be able to solve models that involve radicals, rational exponents, and absolute value. Students will be able to solve radical expressions involving more than one variable for another variable. Students will not need to derive the model. TEST I 100 points Chapter 1 Graphing and modeling linear and quadratic relationships 1.1 Graphing linear and nonlinear equations: Student will be able to determine the value and explain the meaning of slope, x-intercept, y-intercept in terms of a given real-life situation (model) and solve the model for a given value. 1.2 Functions: Student will be able to evaluate models given in function notation. Students will be able to write an equation using function notation. Student will not need to determine if an expression is a function. Student will not need to determine the domain, range, or inverse of the function. Student will not need to derive the function. 1.3 Linear modeling: Student will be able to translate words to data points in which students will need to find the linear equation of best fit and determine the value and explain the meaning of slope, x-intercept, y-intercept, and correlation coefficient in terms of the real-life situation and solve the model for a given value. 1.4 Quadratic functions: Student will be able to translate words to data points in which students will need to find the quadratic equation of best fit (or be given the quadratic model) and determine the value and explain the meaning of vertex point, x-intercept, y-intercept in terms of the real-life situation and solve the model for a given value. Applications will also include perimeter and area of a rectangle. TEST II 100 points Chapter 2 - Composition of functions and Graphing and modeling polynomial and rational functions Composition of Functions: Student will be able to composite two functions together. Functions may be given in the form of models. Polynomial Functions of Higher Degree: Student will be able to translate words to data points in which students will need to find the cubic, quartic, or quintic equation of best fit (or be given the model) and determine the value and explain the meaning of the absolute maximum within a restricted domain, the absolute minimum within a restricted domain, local maximums and minimums, x-intercepts, and y-intercept in terms of the real-life situation, and solve the model for a given value. Power Functions: Student will be able to translate words to data points in which students will need to find the power equation of best fit (or be given the model) and solve the model for a given value. Student will understand the meaning of monotonic. Rational Functions: Student will be given a rational model in which the will need to determine the value and explain the meaning of the horizontal asymptote, vertical asymptote, x-intercept, y-intercept, absolute maximum and minimum in terms of the real-life situation, and solve the model for a given value. TEST III 60 points Chapter 3 - Graphing and modeling exponential, logarithmic and logistic functions Exponential functions: Student will be able to determine if a function is growing or decaying exponentially, the location of the horizontal asymptote, and understand the number e. Student will be able to solve compound interest rate problems for discrete and continuous interest rates, doubling time and rate needed to double at a given time, and determine equivalent interest rates for banks that give different compounding periods. Logarithmic functions: Student will be able to convert logarithmic equations to exponential equations. Students will be able to solve exponential and logarithmic equations that only have one log or one exponent. Students will not need to combine logarithmic expressions Exponential models: Student will be able to translate words to data points in which students will need to find the exponential equation of best fit (or be given the model) and solve the model for a given value. Student will also determine and explain the meaning of the horizontal asymptote in terms of the real-life situation. Logarithmic, and Logistic models: Student will be able to translate words to data points in which students will need to find the logarithmic equation of best fit (or be given the model) and solve the model for a given value. Student will also determine and explain the meaning of the vertical asymptote in terms of the real-life situation. Students will be able to solve logistic equations for a value (the logistic model will be given). TEST IV approx. 40 points Chapter 4 - Systems of Equations and Inequalities and matrices 4.1 Linear systems of equations 2 X 2: Student will be able to translate words to expressions in which students will need to solve a system of linear equations with two variables 4.2 Linear systems of equations 3 X 3 and higher: Student will be able to translate words to expressions in which students will need to solve a system of linear equations with three variables 4.3 Nonlinear systems of equations: Student will be able to translate words to data points in which students will need to find two non-linear equations of best fit (or be given two models) and determine the range in which one model is greater or less than another model. 4.5 Operations with matrices and applications: Student will be able to translate words to matrices in which students will need to add, subtract or multiply the matrices. Applications will include accounting and transportation problems. TEST IV and cumulative final on chapters 1-4 100 points. Optional curve fitting project 50 points (Note: This is not 50 bonus points). Examples of the curve fitting project are at the end of the book and on your Blackboard site.     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