Reeve Managing Producer: Scott Disanno Producer: Stephanie Green TestGen Content Manager: Mary Durnwald Manager: Content Development, Math: Kristina Evans Product Marketing Manager: Emily Ockay Field Marketing Manager: Evan St. WEIR Naval Postgraduate Schoolĭirector, Portfolio Management: Deirdre Lynch Executive Editor: Jeff Weidenaar Editorial Assistant: Jennifer Snyder Content Producer: Rachel S. JOEL HASS University of California, DavisĬHRISTOPHER HEIL Georgia Institute of Technology Massachusetts Institute of Technology as revised by MyMathLab is available for this textbook. S Personalized and adaptive learning S Interactive practice with immediate feedback S Multimedia learning resources S Complete eText MyMathLab is the leading online homework, tutorial, and assessment program designed to help you learn and understand mathematics. The Mixed Derivative Theorem and the Increment Theorem The Distributive Law for Vector Cross ProductsĪ.9. The Divergence Theorem and a Unified TheoryĪ.8. Path Independence, Conservative Fields, and Potential Functionsġ6.8. Vector Fields and Line Integrals: Work, Circulation, and Fluxġ6.3. Triple Integrals in Cylindrical and Spherical Coordinatesġ5.8. Triple Integrals in Rectangular Coordinatesġ5.7. Double Integrals over General Regionsġ5.5. Double and Iterated Integrals over Rectanglesġ5.2. Partial Derivatives with Constrained Variablesġ5.1. Directional Derivatives and Gradient Vectorsġ4.10. Limits and Continuity in Higher Dimensionsġ4.5. Velocity and Acceleration in Polar Coordinatesġ4.2. Tangential and Normal Components of Accelerationġ3.6. Curvature and Normal Vectors of a Curveġ3.5. Integrals of Vector Functions Projectile Motionġ3.4. Vector-Valued Functions and Motion in Spaceġ3.2. Areas and Lengths in Polar Coordinatesġ2.1. Parametric Equations and Polar Coordinatesġ1.4. Alternating Series and Conditional Convergenceġ1. Absolute Convergence The Ratio and Root Testsġ0.6. Systems of Equations and Phase Planesġ0.5. Graphical Solutions of Autonomous Equationsĩ.5. Solutions, Slope Fields, and Euler’s Methodĩ.4. Integral Tables and Computer Algebra Systemsĩ.1. Integration of Rational Functions by Partial FractionsĨ.6. Indeterminate Forms and L’Hôpital’s RuleĨ.5. Exponential Change and Separable Differential Equationsħ.5. Inverse Functions and Their Derivativesħ.4. Definite Integral Substitutions and the Area Between Curvesħ.1. Indefinite Integrals and the Substitution Methodĥ.6. Sigma Notation and Limits of Finite Sumsĥ.5. Monotonic Functions and the First Derivative Testĥ.1. Extreme Values of Functions on Closed IntervalsĤ.3. Derivatives of Trigonometric FunctionsĤ.1. Tangent Lines and the Derivative at a Pointģ.5. Limits Involving Infinity Asymptotes of Graphsģ.1. Rates of Change and Tangent Lines to CurvesĢ.6. Combining Functions Shifting and Scaling GraphsĢ.1.
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