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ALERTcourse syllabus to ensure that you select the correct ISBN. Several versions of Pearson's MyLab & Mastering products exist for each title, including customized versions for individual schools, and registrations are not transferable. In addition, you may need a CourseID, provided by your instructor, to register for and use Pearson's MyLab & Mastering products. Packages Access codes for Pearson's MyLab & Mastering products may not be included when purchasing or renting from companies other than Pearson; check with the seller before completing your purchase. Used or rental books If you rent or purchase a used book with an access code, the access code may have been redeemed previously and you may have to purchase a new access code. Access codes Access codes that are purchased from sellers other than Pearson carry a higher risk of being either the wrong ISBN or a previously redeemed code. Check with the seller prior to purchase. --This package consists of the textbook plus an access kit for MyMathLab/MyStatLab. For a three-semester or four-quarter calculus course covering single variable and multivariable calculus for mathematics, engineering, and science majors. Briggs/Cochran is the most successful new calculus series published in the last two decades. The authors' years of teaching experience resulted in a text that reflects how students generally use a textbook: they start in the exercises and refer back to the narrative for help as needed. The text therefore builds from a foundation of meticulously crafted exercise sets, then draws students into the narrative through writing that reflects the voice of the instructor, examples that are stepped out and thoughtfully annotated, and figures that are designed to teach rather than simply supplement the narrative. The authors appeal to students' geometric intuition to introduce fundamental concepts, laying a foundation for the rigorous development that follows. To further support student learning, the MyMathLab course features an eBook with 700 Interactive Figures that can be manipulated to shed light on key concepts. In addition, the Instructor's Resource Guide and Test Bank features quizzes, test items, lecture support, guided projects, and more. *This book is an expanded version of Calculus by the same authors, with an entire chapter devoted to differential equations, additional sections on other topics, and additional exercises in most sections. See the "Features" section for more details. MyMathLab provides a wide range of homework, tutorial, and assessment tools that make it easy to manage your course online. 0321832094 / 9780321832092 Calculus for Scientists and Engineers plus MyMathLab Student Access Kit Package consists of 0321431308 / 9780321431301 MyMathLab/MyStatLab -- Glue-in Access Card 0321654064 / 9780321654069 MyMathLab Inside Star Sticker 0321826698 / 9780321826695 Calculus for Scientists and Engineers
Contents
1. Functions1.1 Review of functions1.2 Representing functions1.3 Trigonometric functions and their inversesReview 2. Limits2.1 The idea of limits2.2 Definitions of limits2.3 Techniques for computing limits2.4 Infinite limits2.5 Limits at infinity2.6 Continuity2.7 Precise definitions of limitsReview 3. Derivatives3.1 Introducing the derivative3.2 Rules of differentiation3.3 The product and quotient rules3.4 Derivatives of trigonometric functions3.5 Derivatives as rates of change3.6 The Chain Rule3.7 Implicit differentiation3.8 Derivatives of inverse trigonometric functions3.9 Related ratesReview 4. Applications of the Derivative4.1 Maxima and minima4.2 What derivatives tell us4.3 Graphing functions4.4 Optimization problems4.5 Linear approximation and differentials4.6 Mean Value Theorem4.7 L'Hopital's Rule4.8 Newton's method4.9 AntiderivativesReview 5. Integration5.1 Approximating areas under curves5.2 Definite integrals5.3 Fundamental Theorem of Calculus5.4 Working with integrals5.5 Substitution ruleReview 6. Applications of Integration6.1 Velocity and net change6.2 Regions between curves6.3 Volume by slicing6.4 Volume by shells6.5 Length of curves6.6 Surface area6.7 Physical applications6.8 Hyperbolic functionsReview 7. Logarithmic and Exponential Functions7.1 Inverse functions7.2 The natural logarithm and exponential functions7.3 Logarithmic and exponential functions with general bases7.4 Exponential models7.5 Inverse trigonometric functions7.6 L'Hopital's rule and growth rates of functionsReview 8. Integration Techniques8.1 Basic approaches8.2 Integration by parts8.3 Trigonometric integrals8.4 Trigonometric substitutions8.5 Partial fractions8.6 Other integration strategies8.7 Numerical integration8.8 Improper integralsReview 9. Differential Equations9.1 Basic ideas9.2 Direction fields and Euler's method9.3 Separable differential equations9.4 Special first-order differential equations9.5 Modeling with differential equationsReview 10. Sequences and Infinite Series10.1 An overview10.2 Sequences10.3 Infinite series10.4 The Divergence and Integral Tests10.5 The Ratio, Root, and Comparison Tests10.6 Alternating seriesReview 11. Power Series11.1 Approximating functions with polynomials11.2 Properties of power series11.3 Taylor series11.4 Working with Taylor seriesReview 12. Parametric and Polar Curves12.1 Parametric equations12.2 Polar coordinates12.3 Calculus in polar coordinates12.4 Conic sectionsReview 13. Vectors and Vector-Valued Functions13.1 Vectors in the plane13.2 Vectors in three dimensions13.3 Dot products13.4 Cross products13.5 Lines and curves in space13.6 Calculus of vector-valued functions13.7 Motion in space13.8 Length of curves13.9 Curvature and normal vectorsReview 14. Functions of Several Variables14.1 Planes and surfaces14.2 Graphs and level curves14.3 Limits and continuity14.4 Partial derivatives14.5 The Chain Rule14.6 Directional derivatives and the gradient14.7 Tangent planes and linear approximation14.8 Maximum/minimum problems14.9 Lagrange multipliersReview 15. Multiple Integration15.1 Double integrals over rectangular regions15.2 Double integrals over general regions15.3 Double integrals in polar coordinates15.4 Triple integrals15.5 Triple integrals in cylindrical and spherical coordinates15.6 Integrals for mass calculations15.7 Change of variables in multiple integralsReview 16. Vector Calculus16.1 Vector fields16.2 Line integrals16.3 Conservative vector fields16.4 Green's theorem16.5. Divergence and curl16.6 Surface integrals16.6 Stokes' theorem16.8 Divergence theoremReview
