PRINCE GEORGE'S COMMUNITY COLLEGE



PRINCE GEORGE'S COMMUNITY COLLEGEACADEMIC AFFAIRSMASTER COURSE SYLLABUSMAT 1150 Quantitative Modeling and ReasoningProf. Andy D. JonesMay 23, 2013Course Designator and TitlePrepared byDateProf. Joanne Weinberg May 23, 2013Dr. Christine BarrowMay 23, 2013Department ChairmanDateInstructional DeanDateCOURSE DESCRIPTION:Intended for students who need only one general education mathematics course not specified in the program. This course includes support in intermediate algebra as needed to study concepts in modern mathematics and its applications. Linear, quadratic, exponential, and logarithmic functions are used to represent problems across a variety of contexts and disciplines. Structures and algorithms are used to model and make decisions in social choice, management science, art and nature, and consumer finance. Students must pass an algebra competency exam, offered mid-semester, to receive credit in this course. This course is a terminal course and will not serve as preparation or prerequisite for any other mathematics course. Credit will not be awarded for both MAT 1130 and MAT 1150. 4 credits. (3 class/2 lab/1 recitation)Prerequisite: Math placement score and permission of the Mathematics Department. CREDIT HOUR EXPLANATIONAt Prince George’s Community College, for all credit courses, students are expected to spend a minimum of 37.5 combined hours of instructional time and related coursework time per credit hour. This course is a 4-credit course. This course achieves the minimum of 150 hours of instructional time by requiring 75 hours of instructional time and 165 hours of student work outside of instructional time. (Even though MAT 1150 is a 4-credit course, it includes 3 lecture, 2 lab, and 1 recitation hours for a total of 6 equivalent hours of direct instruction per week.)COURSE OUTCOMES:Students passing this course will be able to accomplish all of the outcomes listed below.Students will demonstrate their attainment of these outcomes through the planned assessments. So, for each course learning outcome, indicate briefly the planned assessment tools, such as cases, essay, multiple choice questions, etcCourses seeking general education status must address all pertinent general education outcomes in the below alignment.Upon successful completion of this course, the student will be able to:Course Outcome*Program Outcome #MO #**Planned Assessments1Solve linear, quadratic, exponential, and logarithmic equations by applying algebraic, numerical, graphing, and/or technology-based techniques.2.2, 4.3Homework, quizzes, exams, and labs.2Express mathematical information, concepts, and ideas in verbal, numeric, graphical, and symbolic form while solving a variety of problems.2.2, 4.3, 1.1, 1.4Homework, quizzes, exams, and labs.3Identify and interpret, in context, the key symbolic and graphical features of linear, quadratic, exponential, and logarithmic functions.2.2Homework, quizzes, exams, and labs.4Apply algebraic, numerical, graphical, and/or technology-based techniques to model real world data and make predictions using an appropriate linear, quadratic, exponential, or logarithmic function.2.2, 4.3Homework, quizzes, exams, and labs.5Calculate and interpret average rates of change, percentage growth and decay rates from data, formulas, and graphs.2.2, 1.3Homework, quizzes, exams, and labs.6Select, use, and evaluate appropriate mathematical models to solve problems in consumer finance.1.1, 2.1, 3.1, 1.3Homework, quizzes, exams, labs, and projects.7Select, use, and evaluate appropriate mathematical models and algorithms to solve problems in management and scheduling systems.2.1, 3.1, 1.3, 1.4Homework, quizzes, exams, labs, and projects.8Select, use, and evaluate appropriate mathematical models and algorithms to solve problems in societal systems.2.1, 3.1, 1.1, 1.4Homework, quizzes, exams, labs, and projects.9Identify, analyze, and model mathematical ideas found in art and nature.1.1, 2.1Homework, quizzes, exams, labs, and projects.* Note: This course is not part of the math program. Therefore, this column is not applicable.** Note: Quizzes and exams will contain free response questions with required explanation and shown work.RANGE OF SUBJECT MATTER -- MODEL COURSE OUTLINE: Analysis of GrowthMeasurement of GrowthIntuitive Notion of FunctionPercentage ChangeAverage Growth RateInterpolation and ExtrapolationVisualizing and Interpreting Growth with GraphsScatterplotsLine Graphs and Smoothed Line GraphsMisleading GraphsFunctionsLinear FunctionsFormulas for Linear FunctionsSlopeTrend Lines and RegressionExponential FunctionsFormulas for Exponential FunctionsRelating Percentage Growth and BaseExponential Decay and Half-LifeLogarithmsDefinition of LogarithmApplications of LogarithmsRichter ScaleDecibelsSolving Exponential EquationsDoubling TimeQuadratic FunctionsSolving Quadratic Equations and Finding ZerosFactoringQuadratic FormulaParabolasFinding maximum/minimum values in applications of quadratic functionsALGEBRA COMPETENCY EXAMVoting and Social ChoiceVoting PowerCoalitionsBanzhaf Power IndexSwing VotesShapley-Shubik Power IndexVoting SystemsPluralityRun-offsPreferential VotingBorda CountsCondorcet’s ParadoxArrow’s Impossibility TheoremFair DivisionDivide-and-Choose procedureAdjusted Winner procedureMethod of Sealed BidsApportionmentApportionment History, Problems, and IssuesHamilton SolutionJefferson SolutionAdams and Webster MethodHuntington-Hill MethodPersonal FinanceSaving MoneySimple InterestCompound InterestAPR vs. APYBorrowing MoneyInstallment Loans and PaymentsAmortization Tables and EquityHome MortgagesRetirement PlanningMaking Regular DepositsAnnuitiesCredit CardsBasics of Credit CardsMinimum PaymentsAbuses of Credit CardsInflation, Taxes, and StocksCPI and the Inflation RateBuying PowerIncome TaxesThe DowGraph TheoryDrawing GraphsEuler Paths and CircuitsHamilton Paths and Hamilton Circuits“Traveling Salesman”-type ProblemsTreesGeometryPerimeter, Area, and VolumeApplications of Basic Geometry FormulasHeron’s FormulaThree-dimensional measurementsProportionality and SimilarityGolden RatioGolden Rectangles in Art and ArchitectureSimilar TrianglesOther Types of ProportionalitySymmetries and TilingsRotational SymmetryReflectional SymmetryRegular TilingsIrregular TilingsEscher TilingsSuggested Course Timeline for 15-week Course:Analysis of Growth1.5 weeksFunctions4.0 weeksAlgebra Competency ExamVoting and Social Choice2.5 weeksExam suggestedPersonal Finance2.0 weeksExam SuggestedGraph Theory2.0 weeksExam SuggestedGeometry2.0 weeksReview, Final, Project Presentations, etc.1.0 week EVALUATION OF STUDENT PERFORMANCE:Generally classes will be a mixture of lecture/discussion sessions, group activities, calculator or computer demonstrations, hands-on experience with both, and student presentations.Course grades must include the following components:Algebra competency exam*At least three other examinations in addition to the algebra competency exam At least one written project (which may also be presented orally) on topics such as consumer finance, voting theory, fair division, or art.At least 70% of the course grade must be based on proctored assessments to include exams and quizzes.Other un-proctored assessments (up to 30%) may contribute to the course grade, These may includeWritten homework assignmentsLaboratory activitiesRecitation activitiesAdditional projects and presentationsPortfolioAttendanceTechnology assignmentsQuizzes*To receive credit for this college-level course, students must pass an algebra competency exam. This will verify that the student has met the “beyond the scope of intermediate algebra” requirement for a college-level course. Students who do not pass the algebra competency exam will be given a time period for self-remediation, and a second algebra competency exam opportunity will be provided. If the student does not pass the algebra competency exam, the student will earn a grade of F in the course no matter the current grade.ACCOUNTING FOR CREDIT HOUR REQUIREMENT *(THIS SECTION APPEARS ONLY ON MASTER SYLLABI, AND IS NOT TO BE DISTRIBUTED TO STUDENTS)Face-to-face classesAssignment/AssessmentClock HoursIn class instruction including lab activities, recitation, and final exam75 hoursProject(s)15 hoursOut-of-class Assignments including but not limited toTextbook HomeworkAssigned Readings from TextbookInstructor created worksheetsStudy and Exam Preparation TimeOutside Testing Time150 hours minimum (10 hours per week x 15 weeks)TOTAL:240 hours minimum INSTRUCTIONAL MATERIALS:Quantitative Literacy: Thinking Between the Lines, Crauder, Bruce, et al, W. H. Freeman, 2012.Must include Portal access.ISBN-10: 1-4641-2578-3 ?? ISBN-13: 978-1-4641-2578-2. ................
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