Applied Calculus, Enhanced eText

Name: Applied Calculus, Enhanced eText
Price: 5250 ISK
Availability: InStock
Author: Deborah Hughes-Hallett; Andrew M. Gleason; Daniel E. Flath; Patti Frazer Lock
ISBN: 9781119799085

Höfundar: Deborah Hughes-Hallett; Andrew M. Gleason; Daniel E. Flath; Patti Frazer Lock (Útgáfa: 7)

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The 7th edition of Applied Calculus focuses on the “Rule of Four” (viewing problems graphically, numerically, symbolically, and verbally) to promote critical thinking to reveal solutions to mathematical problems. This approach reinforces the conceptual understanding necessary to reduce complicated problems to simple procedures without losing sight of the practical value of mathematics. In this edition, the authors continue their focus on introducing different perspectives for students with updated applications, exercises, and an increased emphasis on active learning.

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Útgefandi: Wiley Global Education US

ISBN: 9781119799085

Print ISBN: 9781119799061

Format: ePub

Útgáfa: 7

Höfundar: Deborah Hughes-Hallett; Andrew M. Gleason; Daniel E. Flath; Patti Frazer Lock

Tungumál: English

Útgefið: 01/2022

Prent takmörkun á líftíma: 100

Prent takmörkun: 10

Afritunar takmörkun: 2

Flokkar: Stærðfræði og tölfræði

Efnisflokkar: Stærðfræði › Reikningur

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Cover
Title Page
Copyright
Dedication
PREFACE
Acknowledgments
APPLICATIONS INDEX
To Students: How to Learn from this Book
Chapter 1: FUNCTIONS AND CHANGE
1.1 WHAT IS A FUNCTION?
1.2 LINEAR FUNCTIONS
1.3 AVERAGE RATE OF CHANGE AND RELATIVE CHANGE
1.4 APPLICATIONS OF FUNCTIONS TO ECONOMICS
1.5 EXPONENTIAL FUNCTIONS
1.6 THE NATURAL LOGARITHM
1.7 EXPONENTIAL GROWTH AND DECAY
1.8 NEW FUNCTIONS FROM OLD
1.9 PROPORTIONALITY AND POWER FUNCTIONS
1.10 PERIODIC FUNCTIONS
Chapter 1: REVIEW EXERCISES AND PROBLEMS FOR CHAPTER 1
Chapter 1: STRENGTHEN YOUR UNDERSTANDING
Chapter 1: PROJECTS FOR CHAPTER ONE
Chapter 2: RATE OF CHANGE: THE DERIVATIVE
2.1 INSTANTANEOUS RATE OF CHANGE
2.2 THE DERIVATIVE FUNCTION
2.3 INTERPRETATIONS OF THE DERIVATIVE
2.4 THE SECOND DERIVATIVE
2.5 MARGINAL COST AND REVENUE
Chapter 2: REVIEW EXERCISES AND PROBLEMS FOR CHAPTER 2
Chapter 2: STRENGTHEN YOUR UNDERSTANDING: Digital Only
Chapter 2: PROJECTS FOR CHAPTER TWO
Chapter 2: FOCUS ON THEORY: LIMITS, CONTINUITY, AND THE DEFINITION OF THE DERIVATIVE
Chapter 3: SHORTCUTS TO DIFFERENTIATION
3.1 DERIVATIVE FORMULAS FOR POWERS AND POLYNOMIALS
3.2 EXPONENTIAL AND LOGARITHMIC FUNCTIONS
3.3 THE CHAIN RULE
3.4 THE PRODUCT AND QUOTIENT RULES
3.5 DERIVATIVES OF PERIODIC FUNCTIONS
Chapter 3: REVIEW EXERCISES AND PROBLEMS FOR CHAPTER 3
Chapter 3: STRENGTHEN YOUR UNDERSTANDING: Digital Only
Chapter 3: PROJECTS FOR CHAPTER THREE
Chapter 3: FOCUS ON THEORY: ESTABLISHING THE DERIVATIVE FORMULAS
Chapter 3: FOCUS ON PRACTICE
Chapter 4: USING THE DERIVATIVE
4.1 LOCAL MAXIMA AND MINIMA
4.2 INFLECTION POINTS
4.3 GLOBAL MAXIMA AND MINIMA
4.4 PROFIT, COST, AND REVENUE
4.5 AVERAGE COST
4.6 ELASTICITY OF DEMAND
4.7 LOGISTIC GROWTH
4.8 THE SURGE FUNCTION AND DRUG CONCENTRATION
Chapter 4: REVIEW EXERCISES AND PROBLEMS FOR CHAPTER 4
Chapter 4: STRENGTHEN YOUR UNDERSTANDING: Digital Only
Chapter 4: PROJECTS FOR CHAPTER FOUR
Chapter 5: ACCUMULATED CHANGE: THE DEFINITE INTEGRAL
5.1 DISTANCE AND ACCUMULATED CHANGE
5.2 THE DEFINITE INTEGRAL
5.3 THE DEFINITE INTEGRAL AS AREA
5.4 INTERPRETATIONS OF THE DEFINITE INTEGRAL
5.5 TOTAL CHANGE AND THE FUNDAMENTAL THEOREM OF CALCULUS
5.6 AVERAGE VALUE
Chapter 5: REVIEW EXERCISES AND PROBLEMS FOR CHAPTER 5
Chapter 5: STRENGTHEN YOUR UNDERSTANDING: Digital Only
Chapter 5: PROJECTS FOR CHAPTER FIVE
Chapter 5: FOCUS ON THEORY: THEOREMS ABOUT DEFINITE INTEGRALS
Chapter 6: ANTIDERIVATIVES AND APPLICATIONS
6.1 ANALYZING ANTIDERIVATIVES GRAPHICALLY AND NUMERICALLY
6.2 ANTIDERIVATIVES AND THE INDEFINITE INTEGRAL
6.3 USING THE FUNDAMENTAL THEOREM TO FIND DEFINITE INTEGRALS
6.4 APPLICATION: CONSUMER AND PRODUCER SURPLUS
6.5 APPLICATION: PRESENT AND FUTURE VALUE
6.6 INTEGRATION BY SUBSTITUTION
6.7 INTEGRATION BY PARTS
Chapter 6: REVIEW EXERCISES AND PROBLEMS FOR CHAPTER 6
Chapter 6: STRENGTHEN YOUR UNDERSTANDING: Digital Only
Chapter 6: PROJECTS FOR CHAPTER SIX
Chapter 6: FOCUS ON PRACTICE
Chapter 7: PROBABILITY
7.1 DENSITY FUNCTIONS
7.2 CUMULATIVE DISTRIBUTION FUNCTIONS AND PROBABILITY
7.3 THE MEDIAN AND THE MEAN
Chapter 7: REVIEW EXERCISES AND PROBLEMS FOR CHAPTER 7
Chapter 7: STRENGTHEN YOUR UNDERSTANDING: Digital Only
Chapter 7: PROJECTS FOR CHAPTER SEVEN
Chapter 8: FUNCTIONS OF SEVERAL VARIABLES
8.1 UNDERSTANDING FUNCTIONS OF TWO VARIABLES
8.2 CONTOUR DIAGRAMS
8.3 PARTIAL DERIVATIVES
8.4 COMPUTING PARTIAL DERIVATIVES ALGEBRAICALLY
8.5 CRITICAL POINTS AND OPTIMIZATION
8.6 CONSTRAINED OPTIMIZATION
Chapter 8: REVIEW EXERCISES AND PROBLEMS FOR CHAPTER 8
Chapter 8: STRENGTHEN YOUR UNDERSTANDING: Digital Only
Chapter 8: PROJECTS FOR CHAPTER EIGHT
Chapter 8: FOCUS ON THEORY: DERIVING THE FORMULA FOR A REGRESSION LINE
Chapter 9: MATHEMATICAL MODELING USING DIFFERENTIAL EQUATIONS
9.1 MATHEMATICAL MODELING: SETTING UP A DIFFERENTIAL EQUATION
9.2 SOLUTIONS OF DIFFERENTIAL EQUATIONS
9.3 SLOPE FIELDS
9.4 EXPONENTIAL GROWTH AND DECAY
9.5 APPLICATIONS AND MODELING
9.6 MODELING THE INTERACTION OF TWO POPULATIONS
9.7 MODELING THE SPREAD OF A DISEASE
Chapter 9: REVIEW EXERCISES AND PROBLEMS FOR CHAPTER 9
Chapter 9: STRENGTHEN YOUR UNDERSTANDING: Digital Only
Chapter 9: PROJECTS FOR CHAPTER NINE
Chapter 9: FOCUS ON THEORY: SEPARATION OF VARIABLES
Chapter 10: GEOMETRIC SERIES
10.1 GEOMETRIC SERIES
10.2 APPLICATIONS TO BUSINESS AND ECONOMICS
10.3 APPLICATIONS TO THE NATURAL SCIENCES
Chapter 10: REVIEW EXERCISES AND PROBLEMS FOR CHAPTER 10
Chapter 10: STRENGTHEN YOUR UNDERSTANDING: Digital Only
Chapter 10: PROJECTS FOR CHAPTER TEN
APPENDICES
A FITTING FORMULAS TO DATA
B COMPOUND INTEREST AND THE NUMBER e
C SPREADSHEET PROJECTS
1. MALTHUS: POPULATION OUTSTRIPS FOOD SUPPLY
2. CREDIT CARD DEBT
3. CHOOSING A BANK LOAN
4. COMPARING HOME MORTGAGES
5. PRESENT VALUE OF LOTTERY WINNINGS
6. COMPARING INVESTMENTS
7. INVESTING FOR THE FUTURE: TUITION PAYMENTS
8. NEW OR USED?
9. VERHULST: THE LOGISTIC MODEL
10. THE SPREAD OF INFORMATION: A COMPARISON OF TWO MODELS
11. THE FLU IN WORLD WAR I
INDEX
GRAPHS OF FAMILIES OF FUNCTIONS
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