Calculus

ISBN-10: 032122647X
ISBN-13: 9780321226471
Edition: 11th 2008 (Student Manual, Study Guide, etc.)
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Book details

List price: $36.67
Edition: 11th
Copyright year: 2008
Publisher: Prentice Hall PTR
Publication date: 12/3/2004
Binding: Paperback
Pages: 192
Size: 8.50" wide x 10.87" long x 0.43" tall
Weight: 2.178
Language: English

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
Practice Exercises
Additional and Advanced Exercises
Vectors and Analytic Geometry in Space
Three-Dimensional Coordinate Systems
Vectors
The Dot Product
The Cross Product
Lines and Planes in Space
Cylinders and Quadric Surfaces
Practice Exercises
Additional Exercises
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
Practice Exercises
Additional Exercises
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
Practice Exercises
Additional Exercises
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
Practice Exercises
Additional Exercises
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's Theorem
The Divergence Theorem and a Unified Theory
Practice Exercises
Additional Exercises

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