Applied Calculus, EMEA Edition

Häftad, Engelska, 2019

Av Deborah Hughes-Hallett, Andrew M. Gleason, Patti Frazer Lock, Daniel E. Flath, Deborah (Harvard University) Hughes-Hallett, Andrew M. (Harvard University) Gleason, Patti Frazer (St. Lawrence University) Lock, Daniel E. (National University of Singapore) Flath

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Interactive classrooms and well-crafted problems promote student learning. Since it's inception, the hallmark of Applied Calculus is its innovative and engaging problems. The Calculus Consortium pioneered and incorporates the approach called the "Rule of Four." The Rule of Four, presents ideas graphically, numerically, symbolically, and verbally, thereby encouraging students with a variety of learning styles to deepen their understanding as they work through a wide variety of problem types.

Produktinformation

Utgivningsdatum2019-04-19
Mått10 x 10 x 10 mm
Vikt454 g
FormatHäftad
SpråkEngelska
Upplaga6
FörlagJohn Wiley & Sons Inc
ISBN9781119587965

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Matematik inom Naturvetenskap och teknik

1 Functions and Change 11.1 What is a Function? 21.2 Linear Functions 91.3 Average Rate of Change and Relative Change 181.4 Applications of Functions to Economics 311.5 Exponential Functions 421.6 the Natural Logarithm 511.7 Exponential Growth and Decay 561.8 New Functions From Old 661.9 Proportionality and Power Functions 721.10 Periodic Functions 78Chapter a Summary DigitalStrengthen Your Understanding DigitalProjects: Compound Interest, Population Center of the Us, Medical Case Study: Anaphylaxis 852 Rate of Change: the Derivative 872.1 Instantaneous Rate of Change 882.2 the Derivative Function 972.3 Interpretations of the Derivative 1032.4 the Second Derivative 1142.5 Marginal Cost and Revenue 120Chapter 2 Summary DigitalStrengthen Your Understanding DigitalProjects: Estimating Temperature of a Yam; Temperature and Illumination; Chlorofluorocarbons in the Atmosphere 126Focus On Theory: Limits and the Definition of the Derivative 127Limits, Continuity, and the Definition of the Derivative 1283 Shortcuts to Differentiation 1353.1 Derivative Formulas for Powers and Polynomials 1363.2 Exponential and Logarithmic Functions 1443.3 the Chain Rule 1503.4 the Product and Quotient Rules 1563.5 Derivatives of Periodic Functions 161Chapter 3 Summary DigitalStrengthen Your Understanding DigitalProjects: Coroner’s Rule of Thumb; Air Pressure and Altitude; Relativegrowthrates: Population, Gdp, Andgdp Per Capita; Keelingcurve: Atmospheric Carbon Dioxide 166Focus On Theory: Establishing the Derivative Formulas 168Establishing the Derivative Formulas 168Focus On Practice 1724 Using the Derivative 1734.1 Local Maxima and Minima 1744.2 Inflection Points 1814.3 Global Maxima and Minima 1874.4 Profit, Cost, and Revenue 1944.5 Average Cost 2024.6 Elasticity of Demand 2084.7 Logistic Growth 2134.8 the Surge Function and Drug Concentration 223Chapter 4 Summary DigitalStrengthen Your Understanding DigitalProjects: Average and Marginal Costs, Firebreaks, Production and the Price of Raw Materials, Medical Case Study: Impact of Asthma On Breathing 2295 Accumulated Change: the Definite Integral 2335.1 Distance and Accumulated Change 2345.2 the Definite Integral 2435.3 the Definite Integral As Area 2495.4 Interpretations of the Definite Integral 2555.5 Total Change and the Fundamental Theorem of Calculus 2645.6 Average Value 268Chapter 5 Summary DigitalStrengthen Your Understanding DigitalProjects: Carbon Dioxide in Pond Water, Flooding in the Grand Canyon 273Focus On Theory: the Second Fundamental Theorem of Calculus 276Theorems About Definite Integrals 2776 Antiderivatives and Applications 2816.1 Analyzing Antiderivatives Graphically and Numerically 2826.2 Antiderivatives and the Indefinite Integral 2886.3 Using the Fundamental Theorem to Find Definite Integrals 2936.4 Application: Consumer and Producer Surplus 2976.5 Application: Present and Future Value 3036.6 Integration By Substitution 3086.7 Integration By Parts 314Chapter 6 Summary DigitalStrengthen Your Understanding DigitalProjects: Quabbin Reservoir, Distribution of Resources, Yield From An Apple Orchard 317Focus On Practice 3197 Probability 3217.1 Density Functions 3227.2 Cumulative Distribution Functions and Probability 3267.3 the Median and the Mean 333Chapter 7 Summary DigitalStrengthen Your Understanding DigitalProjects: Triangular Probability Distribution 3388 Functions of Several Variables 3398.1 Understanding Functions of Two Variables 3408.2 Contour Diagrams 3458.3 Partial Derivatives 3578.4 Computing Partial Derivatives Algebraically 3648.5 Critical Points and Optimization 3708.6 Constrained Optimization 376Chapter 8 Summary DigitalStrengthen Your Understanding DigitalProjects: a Heater in a Room, Optimizing Relative Prices for Adults and Children, Maximizing Production and Minimizing Cost: “Duality” 384Focus On Theory: Deriving the Formula for Regression Lines 385Deriving the Formula for a Regression Line 3869 Mathematical modeling Using Differential Equations 3919.1 Mathematical modeling: Setting Up a Differential Equation 3929.2 Solutions of Differential Equations 3969.3 Slope Fields 4009.4 Exponential Growth and Decay 4069.5 Applications and Modeling 4119.6 Modeling the Interaction of Two Populations 4219.7 Modeling the Spread of a Disease 427Chapter 9 Summary DigitalStrengthen Your Understanding DigitalProjects: Harvesting and Logistic Growth, Population Genetics, The Spread of Sars 431Focus On Theory: Separation of Variables 434Separation of Variables 43410 Geometric Series Digital10.1 Geometric Series Digital10.2 Applications to Business and Economics Digital10.3 Applications to the Natural Sciences DigitalChapter 10 Summary DigitalStrengthen Your Understanding DigitalProjects: Do You Have Any Common Ancestors?, Harrod-Hicks Model of An Expanding National Economy, Probability of Winning in Sports, Medical Case Study: Drug Desensitization Schedule DigitalAppendices DigitalA Fitting Formulas to Data DigitalB Compound Interest and the Number E DigitalC Spreadsheet Projects Digital1. Malthus: Population Outstrips Food Supply Digital2. Credit Card Debt Digital3. Choosing a Bank Loan Digital4. Comparing Home Mortgages Digital5. Present Value of Lottery Winnings Digital6. Comparing Investments Digital7. Investing for the Future: Tuition Payments Digital8. New or Used? Digital9. Verhulst: the Logistic Model Digital10. the Spread of Information: a Comparison of Two Models Digital11. the Flu in World War I DigitalAnswers to Odd-Numbered Problems 439Index 461