04587nam 2200601 a 450 991046235090332120200520144314.01-61444-601-6(CKB)2670000000257562(EBL)3330433(SSID)ssj0000577601(PQKBManifestationID)11349275(PQKBTitleCode)TC0000577601(PQKBWorkID)10561830(PQKB)11711356(MiAaPQ)EBC3330433(Au-PeEL)EBL3330433(CaPaEBR)ebr10733076(OCoLC)929120312(EXLCZ)99267000000025756219971203d1997 uy 0engur|n|---|||||txtccrElementary mathematical models[electronic resource] order aplenty and a glimpse of chaos /Dan Kalman[Washington, D.C.] Mathematical Association of Americac19971 online resource (362 p.)Classroom resource materialsIncludes index.0-88385-707-3 ""cover ""; ""copyright page""; ""title page""; ""Preface""; ""Teaching EMM""; ""Classroom Experience""; ""Acknowledgments""; ""Contents""; ""1 Overview""; ""An Example""; ""Three Methods: Numerical, Graphical, Theoretical""; ""Mathematical Models""; ""Chaos""; ""Summary""; ""Exercises""; ""Solutions to Selected Exercises""; ""2 Sequences and Difference Equations""; ""Sequences""; ""Difference Equations""; ""The Numerical Approach""; ""The Graphical Approach""; ""The Theoretical Approach""; ""Back to Reality""; ""Sample Difference Equations""; ""Summary""; ""Exercises""""Solutions to Selected Exercises""""3 Arithmetic Growth""; ""The Arithmetic Growth Difference Equation""; ""Examples""; ""Numerical, Graphical, and Theoretical Properties""; ""Proportional Reasoning and Continuous Models""; ""Beyond Arithmetic Growth: Oil Reserves""; ""Summary""; ""Exercises""; ""Solutions to Selected Exercises""; ""4 Linear Graphs, Functions, and Equations""; ""Linear Functions and Equations""; ""Continuous Models""; ""Algebra and Solving Linear Equations""; ""Graphs of Linear Equations""; ""Fitting a Line to Data""; ""Formulating Linear Models""; ""Summary""""Exercises""""Solutions to Selected Exercises""; ""5 Quadratic Growth Models""; ""A New School Population Example""; ""Quadratic Growth Models""; ""Quadratic Growth Difference Equations""; ""Applications of Quadratic Growth""; ""Properties of Quadratic Growth Models""; ""Whole Number Sums and sum Notation""; ""Summary""; ""Exercises""; ""Solutions to Selected Exercises""; ""6 Quadratic Graphs, Functions, andEquations""; ""Quadratic Functions and Equations""; ""Algebraic Considerations""; ""Graphs""; ""Solving Equations""; ""An Example""; ""Summary""; ""Exercises""""Solutions to Selected Exercises""""7 Polynomial and Rational Functions""; ""Algebraic Aspects of Polynomials""; ""Graphing Polynomials""; ""Solving Polynomial Equations""; ""Applications of Polynomials""; ""Graphs of Rational Functions""; ""Summary""; ""Exercises""; ""Solutions to Selected Exercises""; ""8 Fitting a Line to Data""; ""Defining ``Best""""; ""An Error Function""; ""Finding the Best Slope""; ""Three-Dimensional Parabolas""; ""Summary""; ""Exercises""; ""Solutions to Selected Exercises""; ""9 Geometric Growth""; ""The Geometric Growth Assumption""""The Geometric Growth Difference Equation""""Functional Equation""; ""Exponential Functions""; ""Additional Applications""; ""Summary""; ""Exercises""; ""Solutions to Selected Exercises""; ""10 Exponential Functions""; ""Graphs""; ""Algebraic Properties""; ""Solving Equations""; ""The number e""; ""Summary""; ""Exercises""; ""Solutions to Selected Exercises""; ""11 More On Logarithms""; ""Rules for Logarithms""; ""Logarithmic Scales""; ""The pH Scale""; ""Transforming Data""; ""Summary""; ""Exercises""; ""Solutions to Selected Exercises""; ""12 Geometric Sums and Mixed Models""""Geometric Sums""Classroom resource materials (Unnumbered)Mathematical modelsMathematical analysisElectronic books.Mathematical models.Mathematical analysis.511/.8Kalman Dan632551MiAaPQMiAaPQMiAaPQBOOK9910462350903321Elementary mathematical models33409UNINA