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Calculus, Hybrid (with Enhanced WebAssign Homework and eBook LOE Printed Access Card for Multi Term Math and Science) / Edition 10
     

Calculus, Hybrid (with Enhanced WebAssign Homework and eBook LOE Printed Access Card for Multi Term Math and Science) / Edition 10

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by Ron Larson, Bruce H. Edwards
 

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ISBN-10: 1285095006

ISBN-13: 9781285095004

Pub. Date: 01/17/2013

Publisher: Cengage Learning

Reflecting Cengage Learning's commitment to offering flexible teaching solutions and value for students and instructors, these new hybrid versions feature the instructional presentation found in the printed text while delivering end-of-section exercises online in Enhanced WebAssign. The result—a briefer printed text that engages students online! The Larson

Overview

Reflecting Cengage Learning's commitment to offering flexible teaching solutions and value for students and instructors, these new hybrid versions feature the instructional presentation found in the printed text while delivering end-of-section exercises online in Enhanced WebAssign. The result—a briefer printed text that engages students online! The Larson CALCULUS program has a long history of innovation in the calculus market. It has been widely praised by a generation of students and professors for its solid and effective pedagogy that addresses the needs of a broad range of teaching and learning styles and environments. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning.

Product Details

ISBN-13:
9781285095004
Publisher:
Cengage Learning
Publication date:
01/17/2013
Edition description:
New Edition
Pages:
864
Product dimensions:
8.50(w) x 10.80(h) x 1.10(d)

Table of Contents

1. PRELIMINARIES. Real Numbers and the Real Line. Lines, Circles, and Parabolas. Functions and Their Graphs. Identifying Functions; Mathematical Models. Combining Functions; Shifting and Scaling Graphs. Trigonometric Functions. Graphing with Calculators and Computers. 2. LIMITS AND DERIVATIVES. Rates of Change and Limits. Calculating Limits Using the Limit Laws. Precise Definition of a Limit. One-Sided Limits and Limits at Infinity. Infinite Limits and Vertical Asymptotes. Continuity. Tangents and Derivatives. 3. DIFFERENTIATION. The Derivative as a Function. Differentiation Rules. The Derivative as a Rate of Change. Derivatives of Trigonometric Functions. The Chain Rule and Parametric Equations. Implicit Differentiation. Related Rates. Linearization and Differentials. 4. APPLICATIONS OF DERIVATIVES. Extreme Values of Functions. The Mean Value Theorem. Monotonic Functions and the First Derivative Test. Concavity and Curve Sketching. Applied Optimization Problems. Indeterminate Forms and L'Hopital's Rule. Newton's Method. Antiderivatives. 5. INTEGRATION. Estimating with Finite Sums. Sigma Notation and Limits of Finite Sums. The Definite Integral. The Fundamental Theorem of Calculus. Indefinite Integrals and the Substitution Rule. Substitution and Area Between Curves. 6. APPLICATIONS OF DEFINITE INTEGRALS. Volumes by Slicing and Rotation About an Axis. Volumes by Cylindrical Shells. Lengths of Plane Curves. Moments and Centers of Mass. Areas of Surfaces of Revolution and The Theorems of Pappus. Work. Fluid Pressures and Forces. 7. TRANSCENDENTAL FUNCTIONS. Inverse Functions and their Derivatives. Natural Logarithms. The Exponential Function. ax and loga x. Exponential Growth and Decay. Relative Rates of Growth. Inverse Trigonometric Functions. Hyperbolic Functions. 8. TECHNIQUES OF INTEGRATION. Basic Integration Formulas. Integration by Parts. Integration of Rational Functions by Partial Fractions. Trigonometric Integrals. Trigonometric Substitutions. Integral Tables and Computer Algebra Systems. Numerical Integration. Improper Integrals. 9. FURTHER APPLICATIONS OF INTEGRATION. Slope Fields and Separable Differential Equations. First-Order Linear Differential Equations. Euler's Method. Graphical Solutions of Autonomous Equations. Applications of First-Order Differential Equations. 10. CONIC SECTIONS AND POLAR COORDINATES. Conic Sections and Quadratic Equations . Classifying Conic Sections by Eccentricity. Quadratic Equations and Rotations. Conics and Parametric Equations; The Cycloid. Polar Coordinates . Graphing in Polar Coordinates. Area and Lengths in Polar Coordinates. Conic Sections in Polar Coordinates. 11. INFINITE SEQUENCES AND SERIES. Sequences. Infinite Series. The Integral Test. Comparison Tests. The Ratio and Root Tests. Alternating Series, Absolute and Conditional Convergence. Power Series. Taylor and Maclaurin Series. Convergence of Taylor Series; Error Estimates. Applications of Power Series. Fourier Series. 12. VECTORS AND THE GEOMETRY OF SPACE. Three-Dimensional Coordinate Systems. Vectors. The Dot Product. The Cross Product. Lines and Planes in Space. Cylinders and Quadric Surfaces . 13. VECTOR VALUED FUNCTIONS AND MOTION IN SPACE. Vector Functions. Modeling Projectile Motion. Arc Length and the Unit Tangent Vector T. Curvature and the Unit Normal Vector N. Torsion and the Unit Binormal Vector B. Planetary Motion and Satellites. 14. PARTIAL DERIVATIVES. Functions of Several Variables. Limits and Continuity in Higher Dimensions. Partial Derivatives. The Chain Rule. Directional Derivatives and Gradient Vectors. Tangent Planes and Differentials. Extreme Values and Saddle Points. Lagrange Multipliers. Partial Derivatives with Constrained Variables. Taylor's Formula for Two Variables. 15. MULTIPLE INTEGRALS. Double Integrals. Areas, Moments and Centers of Mass. Double Integrals in Polar Form. Triple Integrals in Rectangular Coordinates. Masses and Moments in Three Dimensions. Triple Integrals in Cylindrical and Spherical Coordinates. Substitutions in Multiple Integrals. 16. INTEGRATION IN VECTOR FIELDS. Line Integrals. Vector Fields, Work, Circulation, and Flux. Path Independence, Potential Functions, and Conservative Fields. Green's Theorem in the Plane. Surface Area and Surface Integrals. Parametrized Surfaces. Stokes' Theorem. The Divergence Theorem and a Unified Theory. APPENDICES. Mathematical Induction. Proofs of Limit Theorems. Commonly Occurring Limits . Theory of the Real Numbers. Complex Numbers. The Distributive Law for Vector Cross Products. Determinants and Cramer's Rule. The Mixed Derivative Theorem and the Increment Theorem. The Area of a Parallelogram's Projection on a Plane.

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Calculus, Hybrid (with Enhanced WebAssign Homework and eBook LOE Printed Access Card for Multi Term Math and Science) 1 out of 5 based on 0 ratings. 1 reviews.
Anonymous More than 1 year ago
I purchased the 9th edition eBook of Larson Calculus but it never work on the nook study on my PC run by Windows 8. I have spent hours and hours of my precious time with the B&N customer support, going nowhere; seemingly they are ignoring the "cry" by a little poor customer. After one week later, they have not fixed the seemingly a simple problem yet. Problem with their business practice?