Note: Supplemental materials are not guaranteed with Rental or Used book purchases.
Purchase Benefits
What is included with this book?
Infinite Sequences And Series | |
Sequences | |
Series | |
The Integral and Comparison Tests | |
Estimating Sums | |
Other Convergence Tests | |
Power Series | |
Representation of Functions as Power Series | |
Taylor and Maclaurin Series | |
The Binomial Series | |
Applications of Taylor Polynomials | |
Using Series to Solve Differential Equations | |
Review | |
Focus on Problem Solving | |
Vectors And The Geometry Of Space | |
Three Dimensional Coordinate Systems | |
Vectors | |
The Dot Product | |
The Cross Product | |
Equations of Lines and Planes | |
Functions and Surfaces | |
Cylindrical and Spherical Coordinates | |
Review | |
Focus on Problem Solving | |
Vector Functions | |
Vector Functions and Space Curves | |
Derivatives and Integrals of Vector Functions | |
Arc Length and Curvature | |
Motion in Space | |
Parametric Surfaces | |
Review | |
Focus on Problem Solving | |
Partial Derivatives | |
Functions of Several Variables | |
Limits and Continuity | |
Partial Derivatives | |
Tangent Planes and Linear Approximations | |
The Chain Rule | |
Directional Derivatives and the Gradient Vector | |
Maximum and Minimum Values | |
Lagrange Multipliers | |
Review | |
Focus on Problem Solving | |
Multiple Integrals | |
Double Integrals over Rectangles | |
Integrated Integrals | |
Double Integrals over General Regions | |
Double Integrals in Polar Coordinates | |
Applications of Double Integrals | |
Surface Area | |
Triple Integrals | |
Triple Integrals in Cylindrical and Spherical Coordinates | |
Change of Variables in Multiple Integrals | |
Review | |
Focus on Problem Solving | |
Vector Calculus | |
Vector Fields | |
Line Integrals | |
The Fundamental Theorem for Line Integrals | |
Green's Theorem | |
Curl and Divergence | |
Surface Integrals | |
Stokes' Theorem | |
The Divergence Theorem | |
Summary | |
Review | |
Focus on Problem Solving | |
Appendices | |
Intervals, Inequalities, And Absolute Values | |
Coordinate Geometry | |
Trigonometry | |
Precise Definitions Of Limits | |
A Few Proofs | |
Sigma Notation | |
Integration Of Rational Functions By Partial Fractions | |
Polar coordinates | |
tComplex Numbers | |
Answers To Odd-Numbered Exercises | |
Index | |
Table of Contents provided by Publisher. All Rights Reserved. |
The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.
The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.