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Thomas Calculus Single Variable 12th Edition by George Thomas ISBN 978-0321648440 0321648447

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Thomas Calculus Single Variable 12th Edition George B. Thomas Digital Instant Download

Author(s): George B. Thomas, Maurice D. Weir, Joel Hass
ISBN(s): 9780321637420, 0321637429
Edition: 12
File Details: PDF, 272.12 MB
Year: 2009
Language: english
SKU: EB-2021750 Category: Tags: , ,

Thomas Calculus Single Variable 12th Edition by  George B. Thomas – Ebook PDF Instant Download/Delivery:  978-0321648440, 0321648447
Full download Thomas Calculus Single Variable 12th Edition  after payment

Product details: 

ISBN 10:   0321648447

ISBN 13: 978-0321648440

Author: George B. Thomas 

Thomas’ Calculus, Single Variable Plus MyMathLab/MyStatLab Student Access Kit

Table of contents: 

1. Functions

  • 1.1 Functions and Their Graphs

  • 1.2 Combining Functions; Shifting and Scaling Graphs

  • 1.3 Trigonometric Functions

  • 1.4 Graphing with Calculators and Computers

  • Questions to Guide Your Review

  • Practice Exercises

  • Additional and Advanced Exercises

2. Limits and Continuity

  • 2.1 Rates of Change and Tangents to Curves

  • 2.2 Limit of a Function and Limit Laws

  • 2.3 The Precise Definition of a Limit

  • 2.4 One-Sided Limits

  • 2.5 Continuity

  • 2.6 Limits Involving Infinity; Asymptotes of Graphs

  • Questions to Guide Your Review

  • Practice Exercises

  • Additional and Advanced Exercises

3. Differentiation

  • 3.1 Tangents and the Derivative at a Point

  • 3.2 The Derivative as a Function

  • 3.3 Differentiation Rules

  • 3.4 The Derivative as a Rate of Change

  • 3.5 Derivatives of Trigonometric Functions

  • 3.6 The Chain Rule

  • 3.7 Implicit Differentiation

  • 3.8 Related Rates

  • 3.9 Linearization and Differentials

  • Questions to Guide Your Review

  • Practice Exercises

  • Additional and Advanced Exercises

4. Applications of Derivatives

  • 4.1 Extreme Values of Functions

  • 4.2 The Mean Value Theorem

  • 4.3 Monotonic Functions and the First Derivative Test

  • 4.4 Concavity and Curve Sketching

  • 4.5 Applied Optimization

  • 4.6 Newton’s Method

  • 4.7 Antiderivatives

  • Questions to Guide Your Review

  • Practice Exercises

  • Additional and Advanced Exercises

5. Integration

  • 5.1 Area and Estimating with Finite Sums

  • 5.2 Sigma Notation and Limits of Finite Sums

  • 5.3 The Definite Integral

  • 5.4 The Fundamental Theorem of Calculus

  • 5.5 Indefinite Integrals and the Substitution Method

  • 5.6 Substitution and Area Between Curves

  • Questions to Guide Your Review

  • Practice Exercises

  • Additional and Advanced Exercises

6. Applications of Definite Integrals

  • 6.1 Volumes Using Cross-Sections

  • 6.2 Volumes Using Cylindrical Shells

  • 6.3 Arc Length

  • 6.4 Areas of Surfaces of Revolution

  • 6.5 Work and Fluid Forces

  • 6.6 Moments and Centers of Mass

  • Questions to Guide Your Review

  • Practice Exercises

  • Additional and Advanced Exercises

7. Transcendental Functions

  • 7.1 Inverse Functions and Their Derivatives

  • 7.2 Natural Logarithms

  • 7.3 Exponential Functions

  • 7.4 Exponential Change and Separable Differential Equations

  • 7.5 Indeterminate Forms and L’Hôpital’s Rule

  • 7.6 Inverse Trigonometric Functions

  • 7.7 Hyperbolic Functions

  • 7.8 Relative Rates of Growth

  • Questions to Guide Your Review

  • Practice Exercises

  • Additional and Advanced Exercises

8. Techniques of Integration

  • 8.1 Integration by Parts

  • 8.2 Trigonometric Integrals

  • 8.3 Trigonometric Substitutions

  • 8.4 Integration of Rational Functions by Partial Fractions

  • 8.5 Integral Tables and Computer Algebra Systems

  • 8.6 Numerical Integration

  • 8.7 Improper Integrals

  • Questions to Guide Your Review

  • Practice Exercises

  • Additional and Advanced Exercises

9. First-Order Differential Equations

  • 9.1 Solutions, Slope Fields, and Euler’s Method

  • 9.2 First-Order Linear Equations

  • 9.3 Applications

  • 9.4 Graphical Solutions of Autonomous Equations

  • 9.5 Systems of Equations and Phase Planes

  • Questions to Guide Your Review

  • Practice Exercises

  • Additional and Advanced Exercises

10. Infinite Sequences and Series

  • 10.1 Sequences

  • 10.2 Infinite Series

  • 10.3 The Integral Test

  • 10.4 Comparison Tests

  • 10.5 The Ratio and Root Tests

  • 10.6 Alternating Series, Absolute and Conditional Convergence

  • 10.7 Power Series

  • 10.8 Taylor and Maclaurin Series

  • 10.9 Convergence of Taylor Series

  • 10.10 The Binomial Series and Applications of Taylor Series

  • Questions to Guide Your Review

  • Practice Exercises

  • Additional and Advanced Exercises

11. Parametric Equations and Polar Coordinates

  • 11.1 Parametrizations of Plane Curves

  • 11.2 Calculus with Parametric Curves

  • 11.3 Polar Coordinates

  • 11.4 Graphing in Polar Coordinates

  • 11.5 Areas and Lengths in Polar Coordinates

  • 11.6 Conic Sections

  • 11.7 Conics in Polar Coordinates

  • Questions to Guide Your Review

  • Practice Exercises

  • Additional and Advanced Exercises

12. Vectors and the Geometry of Space

  • 12.1 Three-Dimensional Coordinate Systems

  • 12.2 Vectors

  • 12.3 The Dot Product

  • 12.4 The Cross Product

  • 12.5 Lines and Planes in Space

  • 12.6 Cylinders and Quadric Surfaces

  • Questions to Guide Your Review

  • Practice Exercises

  • Additional and Advanced Exercises

13. Vector-Valued Functions and Motion in Space

  • 13.1 Curves in Space and Their Tangents

  • 13.2 Integrals of Vector Functions; Projectile Motion

  • 13.3 Arc Length in Space

  • 13.4 Curvature and Normal Vectors of a Curve

  • 13.5 Tangential and Normal Components of Acceleration

  • 13.6 Velocity and Acceleration in Polar Coordinates

  • Questions to Guide Your Review

  • Practice Exercises

  • Additional and Advanced Exercises

14. Partial Derivatives

  • 14.1 Functions of Several Variables

  • 14.2 Limits and Continuity in Higher Dimensions

  • 14.3 Partial Derivatives

  • 14.4 The Chain Rule

  • 14.5 Directional Derivatives and Gradient Vectors

  • 14.6 Tangent Planes and Differentials

  • 14.7 Extreme Values and Saddle Points

  • 14.8 Lagrange Multipliers

  • 14.9 Taylor’s Formula for Two Variables

  • 14.10 Partial Derivatives with Constrained Variables

  • Questions to Guide Your Review

  • Practice Exercises

  • Additional and Advanced Exercises

15. Multiple Integrals

  • 15.1 Double and Iterated Integrals over Rectangles

  • 15.2 Double Integrals over General Regions

  • 15.3 Area by Double Integration

  • 15.4 Double Integrals in Polar Form

  • 15.5 Triple Integrals in Rectangular Coordinates

  • 15.6 Moments and Centers of Mass

  • 15.7 Triple Integrals in Cylindrical and Spherical Coordinates

  • 15.8 Substitutions in Multiple Integrals

  • Questions to Guide Your Review

  • Practice Exercises

  • Additional and Advanced Exercises

16. Integration in Vector Fields

  • 16.1 Line Integrals

  • 16.2 Vector Fields and Line Integrals: Work, Circulation, and Flux

  • 16.3 Path Independence, Conservative Fields, and Potential Functions

  • 16.4 Green’s Theorem in the Plane

  • 16.5 Surfaces and Area

  • 16.6 Surface Integrals

  • 16.7 Stokes Theorem

  • 16.8 The Divergence Theorem and a Unified Theory

  • Questions to Guide Your Review

  • Practice Exercises

  • Additional and Advanced Exercises

17. Second-Order Differential Equations

  • 17.1 Second-Order Linear Equations

  • 17.2 Nonhomogeneous Linear Equations

  • 17.3 Applications

  • 17.4 Euler Equations

  • 17.5 Power Series Solutions

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Tags: George Thomas, Thomas Calculus, Single Variable