Calculus Single Variable 6E
Home > Mathematics and Science Textbooks > Mathematics > Calculus and mathematical analysis > Calculus > Calculus Single Variable 6E
Calculus Single Variable 6E

Calculus Single Variable 6E

|
     0     
5
4
3
2
1




Out of Stock


Notify me when this book is in stock
About the Book

Calculus: Single Variable, 6th Edition continues the effort to promote courses in which understanding and computation reinforce each other. The 6th Edition reflects the many voices of users at research universities, four-year colleges, community colleges, and secondary schools. This new edition has been streamlined to create a flexible approach to both theory and modeling. For instructors wishing to emphasize the connection between calculus and other fields, the text includes a variety of problems and examples from the physical, health, and biological sciences, engineering and economics. In addition, new problems on the mathematics of sustainability and new case studies on calculus in medicine by David E. Sloane, MD have been added.

Table of Contents:
1 A LIBRARY OF FUNCTIONS 1.1 FUNCTIONS AND CHANGE 1.2 EXPONENTIAL FUNCTIONS 1.3 NEW FUNCTIONS FROM OLD 1.4 LOGARITHMIC FUNCTIONS 1.5 TRIGONOMETRIC FUNCTIONS 1.6 POWERS, POLYNOMIALS, AND RATIONAL FUNCTIONS 1.7 INTRODUCTION TO CONTINUITY 1.8 LIMITS REVIEW PROBLEMS PROJECTS 2 KEY CONCEPT: THE DERIVATIVE 2.1 HOW DO WE MEASURE SPEED? 2.2 THE DERIVATIVE AT A POINT 2.3 THE DERIVATIVE FUNCTION 2.4 INTERPRETATIONS OF THE DERIVATIVE 2.5 THE SECOND DERIVATIVE 2.6 DIFFERENTIABILITY REVIEW PROBLEMS PROJECTS 3 SHORT-CUTS TO DIFFERENTIATION 3.1 POWERS AND POLYNOMIALS 3.2 THE EXPONENTIAL FUNCTION 3.3 THE PRODUCT AND QUOTIENT RULES 3.4 THE CHAIN RULE 3.5 THE TRIGONOMETRIC FUNCTIONS 3.6 THE CHAIN RULE AND INVERSE FUNCTIONS 3.7 IMPLICIT FUNCTIONS 3.8 HYPERBOLIC FUNCTIONS 3.9 LINEAR APPROXIMATION AND THE DERIVATIVE 3.10 THEOREMS ABOUT DIFFERENTIABLE FUNCTIONS REVIEW PROBLEMS PROJECTS 4 USING THE DERIVATIVE 4.1 USING FIRST AND SECOND DERIVATIVES 4.2 OPTIMIZATION 4.3 OPTIMIZATION AND MODELING 4.4 FAMILIES OF FUNCTIONS AND MODELING 4.5 APPLICATIONS TO MARGINALITY 4.6 RATES AND RELATED RATES 4.7 L’HOPITAL’S RULE, GROWTH, AND DOMINANCE 4.8 PARAMETRIC EQUATIONS REVIEW PROBLEMS PROJECTS 5 KEY CONCEPT: THE DEFINITE INTEGRAL 5.1 HOW DO WE MEASURE DISTANCE TRAVELED? 5.2 THE DEFINITE INTEGRAL 5.3 THE FUNDAMENTAL THEOREM AND INTERPRETATIONS 5.4 THEOREMS ABOUT DEFINITE INTEGRALS REVIEW PROBLEMS PROJECTS 6 CONSTRUCTING ANTIDERIVATIVES 6.1 ANTIDERIVATIVES GRAPHICALLY AND NUMERICALLY 6.2 CONSTRUCTING ANTIDERIVATIVES ANALYTICALLY 6.3 DIFFERENTIAL EQUATIONS AND MOTION 6.4 SECOND FUNDAMENTAL THEOREM OF CALCULUS REVIEW PROBLEMS PROJECTS 7 INTEGRATION 7.1 INTEGRATION BY SUBSTITUTION 7.2 INTEGRATION BY PARTS 7.3 TABLES OF INTEGRALS 7.4 ALGEBRAIC IDENTITIES AND TRIGONOMETRIC SUBSTITUTIONS 7.5 NUMERICAL METHODS FOR DEFINITE INTEGRALS 7.6 IMPROPER INTEGRALS 7.7 COMPARISON OF IMPROPER INTEGRALS REVIEW PROBLEMS PROJECTS 8 USING THE DEFINITE INTEGRAL 8.1 AREAS AND VOLUMES 8.2 APPLICATIONS TO GEOMETRY 8.3 AREA AND ARC LENGTH IN POLAR COORDINATES 8.4 DENSITY AND CENTER OF MASS 8.5 APPLICATIONS TO PHYSICS 8.6 APPLICATIONS TO ECONOMICS 8.7 DISTRIBUTION FUNCTIONS 8.8 PROBABILITY, MEAN, AND MEDIAN REVIEW PROBLEMS PROJECTS 9 SEQUENCES AND SERIES 9.1 SEQUENCES 9.2 GEOMETRIC SERIES 9.3 CONVERGENCE OF SERIES 9.4 TESTS FOR CONVERGENCE 9.5 POWER SERIES AND INTERVAL OF CONVERGENCE REVIEW PROBLEMS PROJECTS 10 APPROXIMATING FUNCTIONS USING SERIES 10.1 TAYLOR POLYNOMIALS 10.2 TAYLOR SERIES 10.3 FINDING AND USING TAYLOR SERIES 10.4 THE ERROR IN TAYLOR POLYNOMIAL APPROXIMATIONS 10.5 FOURIER SERIES REVIEW PROBLEMS PROJECTS 11 DIFFERENTIAL EQUATIONS 11.1 WHAT IS A DIFFERENTIAL EQUATION? 11.2 SLOPE FIELDS 11.3 EULER’S METHOD 11.4 SEPARATION OF VARIABLES 11.5 GROWTH AND DECAY 11.6 APPLICATIONS AND MODELING 11.7 THE LOGISTIC MODEL 11.8 SYSTEMS OF DIFFERENTIAL EQUATIONS 11.9 ANALYZING THE PHASE PLANE REVIEW PROBLEMS PROJECTS APPENDICES A ROOTS, ACCURACY, AND BOUNDS B COMPLEX NUMBERS C NEWTON’S METHOD D VECTORS IN THE PLANE READY REFERENCE ANSWERS TO ODD-NUMBERED PROBLEMS INDEX


Best Sellers


Product Details
  • ISBN-13: 9780470888643
  • Publisher: John Wiley and Sons Ltd
  • Publisher Imprint: John Wiley & Sons Ltd
  • Height: 282 mm
  • No of Pages: 768
  • Spine Width: 25 mm
  • Width: 196 mm
  • ISBN-10: 0470888644
  • Publisher Date: 22 Nov 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 1 gr


Similar Products

Add Photo
Add Photo

Customer Reviews

REVIEWS      0     
Click Here To Be The First to Review this Product
Calculus Single Variable 6E
John Wiley and Sons Ltd -
Calculus Single Variable 6E
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.

Calculus Single Variable 6E

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!