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 | |
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 | |
Interated 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 | |
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 | |
Complex Numbers | |
Answers To Odd-Numbered Exercises | |
Index. | |
Table of Contents provided by Publisher. All Rights Reserved. |