TY  - BOOK
AU  - Stewart, James.
TI  - Single variable calculus: early transcendentals 
SN  - 9780538498678
AV  - QA 303.2 .S74 2012 
PY  - 2012///
CY  - Australia
PB  - Brooks/Cole Publishing Company
KW  - CALCULUS -- TEXTBOOKS
N1  - Includes index; Machine generated contents note: 1.Functions and Models -- 1.1.Four Ways to Represent a Function -- 1.2.Mathematical Models: A Catalog of Essential Functions -- 1.3.New Functions from Old Functions -- 1.4.Graphing Calculators and Computers -- 1.5.Exponential Functions -- 1.6.Inverse Functions and Logarithms -- Review -- Principles of Problem Solving -- 2.Limits and Derivatives -- 2.1.The Tangent and Velocity Problems -- 2.2.The Limit of a Function -- 2.3.Calculating Limits Using the Limit Laws -- 2.4.The Precise Definition of a Limit -- 2.5.Continuity -- 2.6.Limits at Infinity; Horizontal Asymptotes -- 2.7.Derivatives and Rates of Change -- Writing Project Early Methods for Finding Tangents -- 2.8.The Derivative as a Function -- Review -- Problems Plus -- 3.Differentiation Rules -- 3.1.Derivatives of Polynomials and Exponential Functions -- Applied Project Building a Better Roller Coaster -- 3.2.The Product and Quotient Rules -- 3.3.Derivatives of Trigonometric Functions  Note continued: 3.4.The Chain Rule -- Applied Project Where Should a Pilot Start Descent? -- 3.5.Implicit Differentiation -- Laboratory Project Families of Implicit Curves -- 3.6.Derivatives of Logarithmic Functions -- 3.7.Rates of Change in the Natural and Social Sciences -- 3.8.Exponential Growth and Decay -- 3.9.Related Rates -- 3.10.Linear Approximations and Differentials -- Laboratory Project Taylor Polynomials -- 3.11.Hyperbolic Functions -- Review -- Problems Plus -- 4.Applications of Differentiation -- 4.1.Maximum and Minimum Values -- Applied Project The Calculus of Rainbows -- 4.2.The Mean Value Theorem -- 4.3.How Derivatives Affect the Shape of a Graph -- 4.4.Indeterminate Forms and l'Hospital's Rule -- Writing Project The Origins of l'Hospital's Rule -- 4.5.Summary of Curve Sketching -- 4.6.Graphing with Calculus and Calculators -- 4.7.Optimization Problems -- Applied Project The Shape of a Can -- 4.8.Newton's Method -- 4.9.Antiderivatives -- Review  Note continued: Problems Plus -- 5.Integrals -- 5.1.Areas and Distances -- 5.2.The Definite Integral -- Discovery Project Area Functions -- 5.3.The Fundamental Theorem of Calculus -- 5.4.Indefinite Integrals and the Net Change Theorem -- Writing Project Newton, Leibniz, and the Invention of Calculus -- 5.5.The Substitution Rule -- Review -- Problems Plus -- 6.Applications of Integration -- 6.1.Areas Between Curves -- Applied Project The Gini Index -- 6.2.Volumes -- 6.3.Volumes by Cylindrical Shells -- 6.4.Work -- 6.5.Average Value of a Function -- Applied Project Calculus and Baseball -- Applied Project Where to Sit at the Movies -- Review -- Problems Plus -- 7.Techniques of Integration -- 7.1.Integration by Parts -- 7.2.Trigonometric Integrals -- 7.3.Trigonometric Substitution -- 7.4.Integration of Rational Functions by Partial Fractions -- 7.5.Strategy for Integration -- 7.6.Integration Using Tables and Computer Algebra Systems  Note continued: Discovery Project Patterns in Integrals -- 7.7.Approximate Integration -- 7.8.Improper Integrals -- Review -- Problems Plus -- 8.Further Applications of Integration -- 8.1.Arc Length -- Discovery Project Arc Length Contest -- 8.2.Area of a Surface of Revolution -- Discovery Project Rotating on a Slant -- 8.3.Applications to Physics and Engineering -- Discovery Project Complementary Coffee Cups -- 8.4.Applications to Economics and Biology -- 8.5.Probability -- Review -- Problems Plus -- 9.Differential Equations -- 9.1.Modeling with Differential Equations -- 9.2.Direction Fields and Euler's Method -- 9.3.Separable Equations -- Applied Project How Fast Does a Tank Drain? -- Applied Project Which Is Faster, Going Up or Coming Down? -- 9.4.Models for Population Growth -- 9.5.Linear Equations -- 9.6.Predator-Prey Systems -- Review -- Problems Plus -- 10.Parametric Equations and Polar Coordinates -- 10.1.Curves Defined by Parametric Equations  Note continued: Laboratory ProjectRunning Circles around Circles -- 10.2.Calculus with Parametric Curves -- Laboratory Project Bezier Curves -- 10.3.Polar Coordinates -- Laboratory Project Families of Polar Curves -- 10.4.Areas and Lengths in Polar Coordinates -- 10.5.Conic Sections -- 10.6.Conic Sections in Polar Coordinates -- Review -- Problems Plus -- 11.Infinite Sequences and Series -- 11.1.Sequences -- Laboratory Project Logistic Sequences -- 11.2.Series -- 11.3.The Integral Test and Estimates of Sums -- 11.4.The Comparison Tests -- 11.5.Alternating Series -- 11.6.Absolute Convergence and the Ratio and Root Tests -- 11.7.Strategy for Testing Series -- 11.8.Power Series -- 11.9.Representations of Functions as Power Series -- 11.10.Taylor and Maclaurin Series -- Laboratory Project An Elusive Limit -- Writing Project How Newton Discovered the Binomial Series -- 11.11.Applications of Taylor Polynomials -- Applied Project Radiation from the Stars -- Review  Note continued: Problems Plus -- Appendixes -- A.Numbers, Inequalities, and Absolute Values -- B.Coordinate Geometry and Lines -- C.Graphs of Second-Degree Equations -- D.Trigonometry -- E.Sigma Notation -- F.Proofs of Theorems -- G.The Logarithm Defined as an Integral -- H.Complex Numbers -- I.Answers to Odd-Numbered Exercises
N2  - Success in your calculus course starts here! James Stewart's CALCULUS: EARLY TRANSCENDENTALS texts are world-wide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples. With SINGLE VARIABLE CALCULUS: EARLY TRANSCENDENTALS, Seventh Edition, Stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an appreciation for the intrinsic beauty of the subject. His patient examples and built-in learning aids will help you build your mathematical confidence and achieve your goals in the course!
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