Applied Calculus
Home > Mathematics and Science Textbooks > Mathematics > Calculus and mathematical analysis > Calculus > Applied Calculus
Applied Calculus

Applied Calculus

|
     0     
5
4
3
2
1




Available


About the Book

The fourth edition gives readers the skills to apply calculus on the job. It highlights the applications' connection with real-world concerns. The problems take advantage of computers and graphing calculators to help them think mathematically. The applied exercises challenge them to apply the math they have learned in new ways. This develops their capacity for modeling in a way that the usual exercises patterned after similar solved examples cannot do. The material is also presented in a way to help business professionals decide when to use technology, which empowers them to learn what calculators/computers can and cannot do.

Table of Contents:
Detailed TABLE of CONTENTS 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 REVIEW PROBLEMS CHECK YOUR UNDERSTANDING PROJECTS: COMPOUND INTEREST, POPULATION CENTER OF THE US 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 REVIEW PROBLEMS CHECK YOUR UNDERSTANDING PROJECTS: ESTIMATING TEMPERATURE OF A YAM, TEMPERATURE AND ILLUMINATION FOCUS ON THEORY LIMITS, CONTINUITY, AND THE DEFINITION OF THE DERIVATIVE 3 SHORT-CUTS 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 REVIEW PROBLEMS CHECK YOUR UNDERSTANDING PROJECTS: CORONER'S RULE OF THUMB; AIR PRESSURE AND ALTITUDE; RELATIVE GROWTH RATES: POPULATION, GDP, AND GDP PER CAPITA FOCUS ON THEORY ESTABLISHING THE DERIVATIVE FORMULAS FOCUS ON PRACTICE FOCUS ON PRACTICE 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 REVIEW PROBLEMS CHECK YOUR UNDERSTANDING PROJECTS: AVERAGE AND MARGINAL COSTS, FIREBREAKS, PRODUCTION AND THE PRICE OF RAW MATERIALS 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 THE FUNDAMENTAL THEOREM OF CALCULUS REVIEW PROBLEMS CHECK YOUR UNDERSTANDING PROJECTS: CARBON DIOXIDE IN POND WATER, FLOODING IN THE GRAND CANYON FOCUS ON THEORY THEOREMS ABOUT DEFINITE INTEGRALS 6 USING THE DEFINITE INTEGRAL 6.1 AVERAGE VALUE 6.2 CONSUMER AND PRODUCER SURPLUS 6.3 PRESENT AND FUTURE VALUE 6.4 INTEGRATING RELATIVE GROWTH RATES REVIEW PROBLEMS CHECK YOUR UNDERSTANDING PROJECTS: DISTRIBUTION OF RESOURCES, YIELD FROM AN APPLE ORCHARD 7 ANTIDERIVATIVES 7.1 CONSTRUCTING ANTIDERIVATIVES ANALYTICALLY 7.2 INTEGRATION BY SUBSTITUTION 7.3 USING THE FUNDAMENTAL THEOREM TO FIND DEFINITE INTEGRALS 7.4 INTEGRATION BY PARTS 7.5 ANALYZING ANTIDERIVATIVES GRAPHICALLY AND NUMERICALLY REVIEW PROBLEMS CHECK YOUR UNDERSTANDING PROJECTS: QUABBIN RESERVOIR FOCUS ON PRACTICE FOCUS ON PRACTICE 8 PROBABILITY 8.1 DENSITY FUNCTIONS 8.2 CUMULATIVE DISTRIBUTION FUNCTIONS AND PROBABILITY 8.3 THE MEDIAN AND THE MEAN REVIEW PROBLEMS CHECK YOUR UNDERSTANDING PROJECTS: TRIANGULAR PROBABILITY DISTRIBUTION 9 FUNCTIONS OF SEVERAL VARIABLES 9.1 UNDERSTANDING FUNCTIONS OF TWO VARIABLES 9.2 CONTOUR DIAGRAMS 9.3 PARTIAL DERIVATIVES 9.4 COMPUTING PARTIAL DERIVATIVES ALGEBRAICALLY 9.5 CRITICAL POINTS AND OPTIMIZATION 9.6 CONSTRAINED OPTIMIZATION REVIEW PROBLEMS CHECK YOUR UNDERSTANDING PROJECTS: A HEATER IN A ROOM, OPTIMIZING RELATIVE PRICES FOR ADULTS AND CHILDREN, MAXIMIZING PRODUCTION AND MINIMIZING COST: "DUALITY" FOCUS ON THEORY DERIVING THE FORMULA FOR A REGRESSION LINE 10 MATHEMATICAL MODELING USING DIFFERENTIAL EQUATIONS 10.1 MATHEMATICAL MODELING: SETTING UP A DIFFERENTIAL EQUATION 10.2 SOLUTIONS OF DIFFERENTIAL EQUATIONS 10.3 SLOPE FIELDS 10.4 EXPONENTIAL GROWTH AND DECAY 10.5 APPLICATIONS AND MODELING 10.6 MODELING THE INTERACTION OF TWO POPULATIONS 10.7 MODELING THE SPREAD OF A DISEASE REVIEW PROBLEMS CHECK YOUR UNDERSTANDING PROJECTS: HARVESTING AND LOGISTIC GROWTH, POPULATION GENETICS, THE SPREAD OF SARS FOCUS ON THEORY SEPARATION OF VARIABLES 11 GEOMETRIC SERIES 11.1 GEOMETRIC SERIES 11.2 APPLICATIONS TO BUSINESS AND ECONOMICS 11.3 APPLICATIONS TO THE NATURAL SCIENCES REVIEW PROBLEMS CHECK YOUR UNDERSTANDING PROJECTS: DO YOU HAVE ANY COMMON ANCESTORS?, HARROD-HICKS MODEL OF AN EXPANDING NATIONAL ECONOMY, PROBABILITY OF WINNING IN SPORTS APPENDICES 471 A FITTING FORMULAS TO DATA B COMPOUND INTEREST AND THE NUMBER 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 LOTTERYWINNINGS 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


Best Sellers


Product Details
  • ISBN-13: 9780470505892
  • Publisher: John Wiley and Sons Ltd
  • Publisher Imprint: John Wiley & Sons Ltd
  • Height: 277 mm
  • Weight: 1320 gr
  • ISBN-10: 0470505893
  • Publisher Date: 26 Feb 2010
  • Binding: Paperback
  • Spine Width: 32 mm
  • Width: 215 mm


Similar Products

Add Photo
Add Photo

Customer Reviews

REVIEWS      0     
Click Here To Be The First to Review this Product
Applied Calculus
John Wiley and Sons Ltd -
Applied Calculus
Writing guidlines
We want to publish your review, so please:
  • keep your review on the product. Review's that defame author's character will be rejected.
  • Keep your review focused on the product.
  • Avoid writing about customer service. contact us instead if you have issue requiring immediate attention.
  • Refrain from mentioning competitors or the specific price you paid for the product.
  • Do not include any personally identifiable information, such as full names.

Applied Calculus

Required fields are marked with *

Review Title*
Review
    Add Photo Add up to 6 photos
    Would you recommend this product to a friend?
    Tag this Book Read more
    Does your review contain spoilers?
    What type of reader best describes you?
    I agree to the terms & conditions
    You may receive emails regarding this submission. Any emails will include the ability to opt-out of future communications.

    CUSTOMER RATINGS AND REVIEWS AND QUESTIONS AND ANSWERS TERMS OF USE

    These Terms of Use govern your conduct associated with the Customer Ratings and Reviews and/or Questions and Answers service offered by Bookswagon (the "CRR Service").


    By submitting any content to Bookswagon, you guarantee that:
    • You are the sole author and owner of the intellectual property rights in the content;
    • All "moral rights" that you may have in such content have been voluntarily waived by you;
    • All content that you post is accurate;
    • You are at least 13 years old;
    • Use of the content you supply does not violate these Terms of Use and will not cause injury to any person or entity.
    You further agree that you may not submit any content:
    • That is known by you to be false, inaccurate or misleading;
    • That infringes any third party's copyright, patent, trademark, trade secret or other proprietary rights or rights of publicity or privacy;
    • That violates any law, statute, ordinance or regulation (including, but not limited to, those governing, consumer protection, unfair competition, anti-discrimination or false advertising);
    • That is, or may reasonably be considered to be, defamatory, libelous, hateful, racially or religiously biased or offensive, unlawfully threatening or unlawfully harassing to any individual, partnership or corporation;
    • For which you were compensated or granted any consideration by any unapproved third party;
    • That includes any information that references other websites, addresses, email addresses, contact information or phone numbers;
    • That contains any computer viruses, worms or other potentially damaging computer programs or files.
    You agree to indemnify and hold Bookswagon (and its officers, directors, agents, subsidiaries, joint ventures, employees and third-party service providers, including but not limited to Bazaarvoice, Inc.), harmless from all claims, demands, and damages (actual and consequential) of every kind and nature, known and unknown including reasonable attorneys' fees, arising out of a breach of your representations and warranties set forth above, or your violation of any law or the rights of a third party.


    For any content that you submit, you grant Bookswagon a perpetual, irrevocable, royalty-free, transferable right and license to use, copy, modify, delete in its entirety, adapt, publish, translate, create derivative works from and/or sell, transfer, and/or distribute such content and/or incorporate such content into any form, medium or technology throughout the world without compensation to you. Additionally,  Bookswagon may transfer or share any personal information that you submit with its third-party service providers, including but not limited to Bazaarvoice, Inc. in accordance with  Privacy Policy


    All content that you submit may be used at Bookswagon's sole discretion. Bookswagon reserves the right to change, condense, withhold publication, remove or delete any content on Bookswagon's website that Bookswagon deems, in its sole discretion, to violate the content guidelines or any other provision of these Terms of Use.  Bookswagon does not guarantee that you will have any recourse through Bookswagon to edit or delete any content you have submitted. Ratings and written comments are generally posted within two to four business days. However, Bookswagon reserves the right to remove or to refuse to post any submission to the extent authorized by law. You acknowledge that you, not Bookswagon, are responsible for the contents of your submission. None of the content that you submit shall be subject to any obligation of confidence on the part of Bookswagon, its agents, subsidiaries, affiliates, partners or third party service providers (including but not limited to Bazaarvoice, Inc.)and their respective directors, officers and employees.

    Accept

    New Arrivals

    Inspired by your browsing history


    Your review has been submitted!

    You've already reviewed this product!