{"product_id":"mathematical-modeling-9781119102724","title":"Mathematical Modeling","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cb\u003eA logical problem-based introduction to the use of GeoGebra for mathematical modeling and problem solving within various areas of mathematics\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eA well-organized guide to mathematical modeling techniques for evaluating and solving problems in the diverse field of mathematics, \u003ci\u003eMathematical Modeling: Applications with GeoGebra\u003c\/i\u003e presents a unique approach to software applications in GeoGebra and WolframAlpha. The software is well suited for modeling problems in numerous areas of mathematics including algebra, symbolic algebra, dynamic geometry, three-dimensional geometry, and statistics. Featuring detailed information on how GeoGebra can be used as a guide to mathematical modeling, the book provides comprehensive modeling examples that correspond to different levels of mathematical experience, from simple linear relations to differential equations.\u003c\/p\u003e \u003cp\u003eEach chapter builds on the previous chapter with practical examples in order to illustrate the mathematical modelin\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003ePreface xi\u003c\/p\u003e \u003cp\u003eIntroduction xiii\u003c\/p\u003e \u003cp\u003eAbout the Companion Website xxx\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Some Introductory Problems 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Ticket Prices, 3\u003c\/p\u003e \u003cp\u003e1.2 How Long Will the Pasture Last in a Field?, 7\u003c\/p\u003e \u003cp\u003e1.3 A Bit of Chemistry, 10\u003c\/p\u003e \u003cp\u003e1.4 Sydney Harbor Bridge, 16\u003c\/p\u003e \u003cp\u003e1.5 Perspective, 19\u003c\/p\u003e \u003cp\u003e1.6 Lake Erie’s Area, 21\u003c\/p\u003e \u003cp\u003e1.7 Zebra Crossing, 25\u003c\/p\u003e \u003cp\u003e1.8 The Security Case, 31\u003c\/p\u003e \u003cp\u003e1.9 Personal Measurements, 34\u003c\/p\u003e \u003cp\u003e1.10 Height of the Body, 34\u003c\/p\u003e \u003cp\u003e1.11 Lamp Pole, 35\u003c\/p\u003e \u003cp\u003e1.12 The Skyscraper, 35\u003c\/p\u003e \u003cp\u003e1.13 The Fence, 35\u003c\/p\u003e \u003cp\u003e1.14 The Corridor, 35\u003c\/p\u003e \u003cp\u003e1.15 Bird Feeders, 35\u003c\/p\u003e \u003cp\u003e1.16 Golf, 36\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Linear Models 37\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Are Women Faster Than Men?, 38\u003c\/p\u003e \u003cp\u003e2.2 Taxi Companies, 40\u003c\/p\u003e \u003cp\u003e2.3 Crime Development, 47\u003c\/p\u003e \u003cp\u003e2.4 The Metal Wire, 52\u003c\/p\u003e \u003cp\u003e2.5 Options Trading, 57\u003c\/p\u003e \u003cp\u003e2.6 Flying Foxes, 62\u003c\/p\u003e \u003cp\u003e2.7 Knots on a Rope, 66\u003c\/p\u003e \u003cp\u003e2.8 The Candle, 66\u003c\/p\u003e \u003cp\u003e2.9 Hooke’s Law, 66\u003c\/p\u003e \u003cp\u003e2.10 Ranking, 67\u003c\/p\u003e \u003cp\u003e2.11 Dolbear’s Law, 67\u003c\/p\u003e \u003cp\u003e2.12 Man at Office, 68\u003c\/p\u003e \u003cp\u003e2.13 A Stack of Paper, 68\u003c\/p\u003e \u003cp\u003e2.14 Milk Production in Cows, 69\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Nonlinear Empirical Models I 70\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Galaxy Rotation, 71\u003c\/p\u003e \u003cp\u003e3.2 Olympic Pole Vaulting, 73\u003c\/p\u003e \u003cp\u003e3.3 Kepler’s Third Law, 79\u003c\/p\u003e \u003cp\u003e3.4 Density, 83\u003c\/p\u003e \u003cp\u003e3.5 Yeast, 87\u003c\/p\u003e \u003cp\u003e3.6 Cooling I, 88\u003c\/p\u003e \u003cp\u003e3.7 Modeling the Population of Ireland, 93\u003c\/p\u003e \u003cp\u003e3.8 The Rule of 72, 96\u003c\/p\u003e \u003cp\u003e3.9 The Fish Farm I, 100\u003c\/p\u003e \u003cp\u003e3.10 New Orleans Temperatures, 104\u003c\/p\u003e \u003cp\u003e3.11 The Record Mile, 107\u003c\/p\u003e \u003cp\u003e3.12 The Rocket, 107\u003c\/p\u003e \u003cp\u003e3.13 Stopping Distances, 107\u003c\/p\u003e \u003cp\u003e3.14 A Bottle with Holes, 108\u003c\/p\u003e \u003cp\u003e3.15 The Pendulum, 108\u003c\/p\u003e \u003cp\u003e3.16 Radio Range, 108\u003c\/p\u003e \u003cp\u003e3.17 Running 400 Meters, 108\u003c\/p\u003e \u003cp\u003e3.18 Blue Whale, 109\u003c\/p\u003e \u003cp\u003e3.19 Used Cars, 109\u003c\/p\u003e \u003cp\u003e3.20 Texts, 110\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Nonlinear Empirical Models II 111\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Cooling II, 112\u003c\/p\u003e \u003cp\u003e4.2 Body Surface Area, 116\u003c\/p\u003e \u003cp\u003e4.3 Warm]Blooded Animals, 120\u003c\/p\u003e \u003cp\u003e4.4 Control of Insect Pests, 123\u003c\/p\u003e \u003cp\u003e4.5 Selling Magazines for Christmas, 125\u003c\/p\u003e \u003cp\u003e4.6 Tumor, 136\u003c\/p\u003e \u003cp\u003e4.7 Free Fall, 141\u003c\/p\u003e \u003cp\u003e4.8 Concentration, 145\u003c\/p\u003e \u003cp\u003e4.9 Air Current, 150\u003c\/p\u003e \u003cp\u003e4.10 Tides, 153\u003c\/p\u003e \u003cp\u003e4.11 Fitness, 156\u003c\/p\u003e \u003cp\u003e4.12 Life Expectancy versus Average Income, 157\u003c\/p\u003e \u003cp\u003e4.13 Stockholm Center, 157\u003c\/p\u003e \u003cp\u003e4.14 Workforce, 157\u003c\/p\u003e \u003cp\u003e4.15 Population of Sweden, 158\u003c\/p\u003e \u003cp\u003e4.16 Who Killed the Lion?, 158\u003c\/p\u003e \u003cp\u003e4.17 AIDS in United States, 159\u003c\/p\u003e \u003cp\u003e4.18 Thermal Comfort, 159\u003c\/p\u003e \u003cp\u003e4.19 Watts and Lumen, 159\u003c\/p\u003e \u003cp\u003e4.20 The Beaufort Scale, 160\u003c\/p\u003e \u003cp\u003e4.21 The von Bertalanffy Growth Equation, 161\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Modeling with Calculus 162\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 The Fish Farm II, 163\u003c\/p\u003e \u003cp\u003e5.2 Titration, 169\u003c\/p\u003e \u003cp\u003e5.3 The Bowl, 176\u003c\/p\u003e \u003cp\u003e5.4 The Aircraft Wing, 180\u003c\/p\u003e \u003cp\u003e5.5 The Gateway Arch in St. Louis, 182\u003c\/p\u003e \u003cp\u003e5.6 Volume of a Pear, 187\u003c\/p\u003e \u003cp\u003e5.7 Storm Flood, 190\u003c\/p\u003e \u003cp\u003e5.8 Exercise, 193\u003c\/p\u003e \u003cp\u003e5.9 Bicycle Reflectors, 202\u003c\/p\u003e \u003cp\u003e5.10 Cardiac Output, 206\u003c\/p\u003e \u003cp\u003e5.11 Medication, 210\u003c\/p\u003e \u003cp\u003e5.12 New Song on Spotify, 215\u003c\/p\u003e \u003cp\u003e5.13 Temperature Change, 221\u003c\/p\u003e \u003cp\u003e5.14 Tar, 224\u003c\/p\u003e \u003cp\u003e5.15 Bicycle Reflectors Revisited, 229\u003c\/p\u003e \u003cp\u003e5.16 Gas Pressure, 229\u003c\/p\u003e \u003cp\u003e5.17 Airborne Attacks, 229\u003c\/p\u003e \u003cp\u003e5.18 Railroad Tracks, 230\u003c\/p\u003e \u003cp\u003e5.19 Cobb–Douglas Production Functions, 230\u003c\/p\u003e \u003cp\u003e5.20 Future Carbon Dioxide Emissions, 231\u003c\/p\u003e \u003cp\u003e5.21 Overtaking, 232\u003c\/p\u003e \u003cp\u003e5.22 Population Dynamics of India, 232\u003c\/p\u003e \u003cp\u003e5.23 Drag Racing, 232\u003c\/p\u003e \u003cp\u003e5.24 Super Eggs, 233\u003c\/p\u003e \u003cp\u003e5.25 Measuring Sticks, 234\u003c\/p\u003e \u003cp\u003e5.26 The Lecture Hall, 234\u003c\/p\u003e \u003cp\u003e5.27 Progressive Braking Distances, 234\u003c\/p\u003e \u003cp\u003e5.28 Cylinder in a Cone, 235\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Using Differential Equations 236\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Cooling III, 237\u003c\/p\u003e \u003cp\u003e6.2 Moose Hunting, 241\u003c\/p\u003e \u003cp\u003e6.3 The Water Container, 247\u003c\/p\u003e \u003cp\u003e6.4 Skydiving, 250\u003c\/p\u003e \u003cp\u003e6.5 Flu Epidemics, 256\u003c\/p\u003e \u003cp\u003e6.6 USA’s Population, 263\u003c\/p\u003e \u003cp\u003e6.7 Predators and Prey, 274\u003c\/p\u003e \u003cp\u003e6.8 Smoke, 285\u003c\/p\u003e \u003cp\u003e6.9 Alcohol Consumption, 289\u003c\/p\u003e \u003cp\u003e6.10 Who Killed the Mathematics Teacher, 292\u003c\/p\u003e \u003cp\u003e6.11 River Clams, 297\u003c\/p\u003e \u003cp\u003e6.12 Contamination, 297\u003c\/p\u003e \u003cp\u003e6.13 Damped Oscillation, 297\u003c\/p\u003e \u003cp\u003e6.14 The Potassium–Argon Method, 298\u003c\/p\u003e \u003cp\u003e6.15 Barium, Lanthanum, and Cerium, 298\u003c\/p\u003e \u003cp\u003e6.16 Iodine, 298\u003c\/p\u003e \u003cp\u003e6.17 Endemic Epidemics, 299\u003c\/p\u003e \u003cp\u003e6.18 War, 299\u003c\/p\u003e \u003cp\u003e6.19 Farmers, Bandits, and Rulers, 299\u003c\/p\u003e \u003cp\u003e6.20 Epidemics Without Immunity, 300\u003c\/p\u003e \u003cp\u003e6.21 Zombie Apocalypse I, 300\u003c\/p\u003e \u003cp\u003e6.22 Zombie Apocalypse II, 300\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Geometrical Models 301\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 The Looping Pen, 302\u003c\/p\u003e \u003cp\u003e7.2 Comparing Areas, 304\u003c\/p\u003e \u003cp\u003e7.3 Crossing Lines, 307\u003c\/p\u003e \u003cp\u003e7.4 Points in a Triangle, 310\u003c\/p\u003e \u003cp\u003e7.5 Trisected Area, 316\u003c\/p\u003e \u003cp\u003e7.6 Spirograph, 320\u003c\/p\u003e \u003cp\u003e7.7 Connected LP Players, 326\u003c\/p\u003e \u003cp\u003e7.8 Folding Paper, 332\u003c\/p\u003e \u003cp\u003e7.9 The Locomotive, 336\u003c\/p\u003e \u003cp\u003e7.10 Maximum Volume, 340\u003c\/p\u003e \u003cp\u003e7.11 Pascal’s Snail or Limaçon, 340\u003c\/p\u003e \u003cp\u003e7.12 Equilateral Triangle Dissection, 341\u003c\/p\u003e \u003cp\u003e7.13 Dividing the Sides of a Triangle, 341\u003c\/p\u003e \u003cp\u003e7.14 The Pedal Triangle, 342\u003c\/p\u003e \u003cp\u003e7.15 The Infinity Diagram, 343\u003c\/p\u003e \u003cp\u003e7.16 Dissecting a Circular Segment, 344\u003c\/p\u003e \u003cp\u003e7.17 Neuberg Cubic Art, 344\u003c\/p\u003e \u003cp\u003e7.18 Phase Plots for Triangles, 345\u003c\/p\u003e \u003cp\u003e7.19 The Joukowski Airfoil, 347\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Discrete Models 348\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 The Cabinetmaker, 349\u003c\/p\u003e \u003cp\u003e8.2 Weather, 358\u003c\/p\u003e \u003cp\u003e8.3 Squirrels, 362\u003c\/p\u003e \u003cp\u003e8.4 Chlorine, 365\u003c\/p\u003e \u003cp\u003e8.5 The Deer Farm, 369\u003c\/p\u003e \u003cp\u003e8.6 Analyzing a Number Sequence, 373\u003c\/p\u003e \u003cp\u003e8.7 Inner Areas in a Square, 376\u003c\/p\u003e \u003cp\u003e8.8 Inner Areas in a Triangle, 382\u003c\/p\u003e \u003cp\u003e8.9 A Climate Model Based on Albedo, 387\u003c\/p\u003e \u003cp\u003e8.10 Traffic Jam, 392\u003c\/p\u003e \u003cp\u003e8.11 Wildfire, 399\u003c\/p\u003e \u003cp\u003e8.12 A Modern Carpenter, 408\u003c\/p\u003e \u003cp\u003e8.13 Conway’s Game of Life, 409\u003c\/p\u003e \u003cp\u003e8.14 Matrix Taxis, 409\u003c\/p\u003e \u003cp\u003e8.15 The Car Park, 409\u003c\/p\u003e \u003cp\u003e8.16 Selecting a Collage, 410\u003c\/p\u003e \u003cp\u003e8.17 Apportionment, 410\u003c\/p\u003e \u003cp\u003e8.18 Steiner Trees for Regular Polygons, 410\u003c\/p\u003e \u003cp\u003e8.19 Hugs and High Fives, 411\u003c\/p\u003e \u003cp\u003e8.20 Pythagorean Triples, 411\u003c\/p\u003e \u003cp\u003e8.21 Credits, 412\u003c\/p\u003e \u003cp\u003e8.22 The Piano, 413\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Modeling in the Classroom 415\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 The Teacher Creating Diagrams, 416\u003c\/p\u003e \u003cp\u003e9.2 Student’s Lab Reports, 416\u003c\/p\u003e \u003cp\u003e9.3 Making Screencast Instructions, 417\u003c\/p\u003e \u003cp\u003e9.4 Demonstrations, 417\u003c\/p\u003e \u003cp\u003e9.5 Students Investigating Constructions, 418\u003c\/p\u003e \u003cp\u003e9.6 Working in Groups, 418\u003c\/p\u003e \u003cp\u003e9.7 Students Constructing Models, 419\u003c\/p\u003e \u003cp\u003e9.8 Broader Assignments, 420\u003c\/p\u003e \u003cp\u003e9.9 The Same or Different Assignments, 421\u003c\/p\u003e \u003cp\u003e9.10 Previous Assignments, 421\u003c\/p\u003e \u003cp\u003e9.11 The Consultancy Bureau, 422\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Assessing Modeling 425\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 To Evaluate Mathematical Modeling Assignments, 426\u003c\/p\u003e \u003cp\u003e10.2 Concretizing Grading Criteria, 426\u003c\/p\u003e \u003cp\u003e10.3 Evaluating Students’ Work, 431\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Assessing Models 434\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Relative Error, 435\u003c\/p\u003e \u003cp\u003e11.2 Correlation, 435\u003c\/p\u003e \u003cp\u003e11.3 Sum of Squared Errors, 436\u003c\/p\u003e \u003cp\u003e11.4 Simple Linear Regression, 436\u003c\/p\u003e \u003cp\u003e11.5 Multiple Regression Analysis, 438\u003c\/p\u003e \u003cp\u003e11.6 Nonlinear Regression, 438\u003c\/p\u003e \u003cp\u003e11.7 Confidence Intervals, 439\u003c\/p\u003e \u003cp\u003e11.8 2D Confidence Interval Tools, 441\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Interpreting Models 443\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Mathematical Representations, 443\u003c\/p\u003e \u003cp\u003e12.2 Graphical Representations, 444\u003c\/p\u003e \u003cp\u003e12.3 A Sample Model Interpreted, 445\u003c\/p\u003e \u003cp\u003e12.4 Creating the Model, 446\u003c\/p\u003e \u003cp\u003eAppendix A: Introduction to GeoGebra 448\u003c\/p\u003e \u003cp\u003eAppendix B: Function Library 485\u003c\/p\u003e \u003cp\u003eInteger Properties 509\u003c\/p\u003e \u003cp\u003eIndex 523\u003c\/p\u003e \u003cp\u003eIndex of Problems by Name 535\u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49406985994583,"sku":"9781119102724","price":95.36,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781119102724.jpg?v=1730497793","url":"https:\/\/bookcurl.com\/products\/mathematical-modeling-9781119102724","provider":"Book Curl","version":"1.0","type":"link"}