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Applied Calculus 5th Edition [Pehme köide]

  • Formaat: Paperback / softback, 576 pages, kõrgus x laius x paksus: 271x214x21 mm, kaal: 1124 g
  • Ilmumisaeg: 04-Nov-2013
  • Kirjastus: John Wiley & Sons Inc
  • ISBN-10: 1118174925
  • ISBN-13: 9781118174920
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  • Formaat: Paperback / softback, 576 pages, kõrgus x laius x paksus: 271x214x21 mm, kaal: 1124 g
  • Ilmumisaeg: 04-Nov-2013
  • Kirjastus: John Wiley & Sons Inc
  • ISBN-10: 1118174925
  • ISBN-13: 9781118174920
Teised raamatud teemal:
A team called the Calculus Consortium revises the introductory textbook that emphasizes the mathematical dimension of calculus, rather than reducing it to a set of rules and procedures. It can be used for a one-semester or two-semester course in applied calculus. It covers functions and change, rate of change; the derivative, short-cuts to differentiation, using the derivative, accumulated change; the definite integral, anti-derivatives and applications, probability, functions of several variables, mathematical modeling using differential equations, and geometric series. First published in 1999 and updated here from the 2010 edition. Annotation ©2014 Book News, Inc., Portland, OR (booknews.com)

The 5th Edition of Applied Calculus continues to exhibit the same strengths from earlier editions including a focus on creative conceptual and modeling problems and the "Rule of Four", an emphasis on concepts and modeling, exposition that teaches a flexible approach to technology. This issue provides readers with deeper skills needed to apply calculus on the job and highlights connections with real-world concerns. The problems and exercises are challenging and provoke deeper thinking to help apply math in new ways. The material is presented in a way to help readers decide when to use technology, which empowers them to learn what calculators/computers can and cannot do.
1 Functions And Change
1(88)
1.1 What Is A Function?
2(6)
1.2 Linear Functions
8(8)
1.3 Average Rate Of Change And Relative Change
16(12)
1.4 Applications Of Functions To Economics
28(11)
1.5 Exponential Functions
39(7)
1.6 The Natural Logarithm
46(5)
1.7 Exponential Growth And Decay
51(9)
1.8 New Functions From Old
60(5)
1.9 Proportionality And Power Functions
65(6)
1.10 Periodic Functions
71(18)
Review Problems
78(6)
Strengthen Your Understanding
84(2)
Projects: Compound Interest, Population Center Of The Us, Medical Case Study: Anaphylaxis
86(3)
2 Rate Of Change: The Derivative
89(48)
2.1 nstantaneous Rate Of Change
90(7)
2.2 The Derivative Function
97(6)
2.3 Interpretations Of The Derivative
103(9)
2.4 The Second Derivative
112(6)
2.5 Marginal Cost And Revenue
118(19)
Review Problems
124(4)
Strengthen Your Understanding
128(1)
Projects: Estimating Temperature Of A Yam; Temperature And Illumination; Chlorofluorocarbons In The Atmosphere
129(2)
Focus On Theory
131(1)
Limits, Continuity, And The Definition Of The Derivative
131(6)
3 Shortcuts To Differentiation
137(38)
3.1 Derivative Formulas For Powers And Polynomials
138(7)
3.2 Exponential And Logarithmic Functions
145(5)
3.3 The Chain Rule
150(6)
3.4 The Product And Quotient Rules
156(5)
3.5 Derivatives Of Periodic Functions
161(14)
Review Problems
165(3)
Strengthen Your Understanding
168(1)
Projects: Coroner's Rule Of Thumb; Air Pressure And Altitude; Relative Growth Rates: Population, Gdp, And Gdp Per Capita; Keeling Curve: Atmospheric Carbon Dioxide
169(2)
Focus On Theory
171(1)
Establishing The Derivative Formulas
171(3)
Focus On Practice
174(1)
4 Using The Derivative
175(66)
4.1 Local Maxima And Minima
176(7)
4.2 Inflection Points
183(6)
4.3 Global Maxima And Minima
189(5)
4.4 Profit, Cost, And Revenue
194(8)
4.5 Average Cost
202(6)
4.6 Elasticity Of Demand
208(5)
4.7 Logistic Growth
213(8)
4.8 The Surge Function And Drug Concentration
221(20)
Review Problems
228(7)
Strengthen Your Understanding
235(2)
Projects: Average And Marginal Costs, Firebreaks, Production And The Price Of Raw Materials, Medical Case Study: Impact Of Asthma On Breathing
237(4)
5 Accumulated Change: The Definite Integral
241(50)
5.1 Distance And Accumulated Change
242(8)
5.2 The Definite Integral
250(5)
5.3 The Definite Integral As Area
255(5)
5.4 Interpretations Of The Definite Integral
260(8)
5.5 Total Change And The Fundamental Theorem Of Calculus
268(4)
5.6 Average Value
272(19)
Review Problems
276(5)
Strengthen Your Understanding
281(2)
Projects: Carbon Dioxide In Pond Water, Flooding In The Grand Canyon
283(4)
Focus On Theory
287(1)
Theorems About Definite Integrals
287(4)
6 Antiderivatives And Applications
291(40)
6.1 Analyzing Antiderivatives Graphically And Numerically
292(5)
6.2 Antiderivatives And The Indefinite Integral
297(5)
6.3 Using The Fundamental Theorem To Find Definite Integrals
302(4)
6.4 Application: Consumer And Producer Surplus
306(6)
6.5 Application: Present And Future Value
312(4)
6.6 Integration By Substitution
316(5)
6.7 Integration By Parts
321(10)
Review Problems
324(2)
Strengthen Your Understanding
326(2)
Projects: Quabbin Reservoir, Distribution Of Resources, Yield From An Apple Orchard
328(2)
Focus On Practice
330(1)
7 Probability
331(22)
7.1 Density Functions
332(4)
7.2 Cumulative Distribution Functions And Probability
336
7.3 The Median And The Mean
34(319)
Review Problems
348(2)
Strengthen Your Understanding
350(1)
Projects: Triangular Probability Distribution
351(2)
8 Functions Of Several Variables
353(56)
8.1 Understanding Functions Of Two Variables
354(4)
8.2 Contour Diagrams
358(11)
8.3 Partial Derivatives
369(7)
8.4 Computing Partial Derivatives Algebraically
376(5)
8.5 Critical Points And Optimization
381(6)
8.6 Constrained Optimization
387(22)
Review Problems
394(5)
Strengthen Your Understanding
399(2)
Projects: A Heater In A Room, Optimizing Relative Prices For Adults And Children, Maximizing Production And Minimizing Cost: "Duality"
401(2)
Focus On Theory
403(1)
Deriving The Formula For A Regression Line
403(6)
9 Mathematical Modeling Using Differential Equations
409(54)
9.1 Mathematical Modeling: Setting Up A Differential Equation
410(4)
9.2 Solutions Of Differential Equations
414(4)
9.3 Slope Fields
418(6)
9.4 Exponential Growth And Decay
424(6)
9.5 Applications And Modeling
430(9)
9.6 Modeling The Interaction Of Two Populations
439(6)
9.7 Modeling The Spread Of A Disease
445(18)
Review Problems
450(2)
Strengthen Your Understanding
452(3)
Projects: Harvesting And Logistic Growth, Population Genetics, The Spread Of Sars
455(3)
Focus On Theory
458(1)
Separation Of Variables
458(5)
10 Geometric Series
463(20)
10.1 Geometric Series
464(6)
10.2 Applications To Business And Economics
470(4)
10.3 Applications To The Natural Sciences
474(9)
Review Problems
479(1)
Strengthen Your Understanding
480(1)
Projects: 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
481(2)
APPENDIX
483(24)
A Fitting Formulas To Data
484(8)
B Compound Interest And The Number E
492(5)
C Spreadsheet Projects
497(10)
1 Malthus: Population Outstrips Food Supply
497(1)
2 Credit Card Debt
498(1)
3 Choosing A Bank Loan
499(1)
4 Comparing Home Mortgages
500(1)
5 Present Value Of Lottery Winnings
501(1)
6 Comparing Investments
501(1)
7 Investing For The Future: Tuition Payments
502(1)
8 New Or Used?
502(1)
9 Verhulst: The Logistic Model
503(1)
10 The Spread Of Information: A Comparison Of Two Models
504(1)
11 The Flu In World War I
504(3)
Answers To Odd-Numbered Problems 507(28)
Pretest 535(4)
Index 539
Dr. Deborah Hughes-Hallett is a Professor of Mathematics at the University of Arizona and Adjunct Professor of Public Policy at the Harvard Kennedy School.?She is regularly consulted on the design of curricula and pedagogy for undergraduate mathematics at the national and international level and she is an author of several college level mathematics texts. She has co-authored a report for the National Academy of Science's Committee on Advanced Study in American High Schools, and is a member of the MAA Committee on Mutual Concerns and the College Board's Committee to review the new Math-SAT. In 1998 and 2002 she was co-chair of International Conference on the Teaching of Mathematics in Greece, attended by several hundred faculty from about 50 countries. In 2006, she chaired the third conference in this sequence in Istanbul, Turkey. She established programs for master's students at the Kennedy School of Government, precalculus, and quantitative reasoning courses (with Andy Gleason), and courses for economics majors.