Study Guide for Stewart’s Multivariable Calculus Concepts and Contexts

by Burton, Robert; Garity, Dennis

• ISBN13: 9780534379131
• ISBN10: 0534379133
• Additional ISBN(s): 9780534344405, 9780534410063
• Edition: 2nd
• Format: Paperback
• Copyright: 2001-03-19
• Publisher: Brooks Cole
• More Book Details
• Purchase Benefits

Summary

Student Study Guide for Student's using Stewart's Multivariable Calculus: Concepts and Contexts, 2E. Provides strategies for problem solving to improve understanding of the material.

Table of Contents

Infinite Sequences and Series	420	(57)
Sequences	421	(7)
Series	428	(6)
The Integral and Comparison Tests; Estimating Sums	434	(7)
Other Convergence Tests	441	(7)
Power Series	448	(4)
Representations of Functions as Power Series	452	(6)
Taylor and Maclaurin Series	458	(6)
The Binomial Series	464	(3)
Applications of Taylor Polynomials	467	(5)
Using Series to Solve Differential Equations	472	(5)
SkillMasters for Chapter 8	476	(1)
Vectors and the Geometry of Space	477	(64)
Three-Dimensional Coordinate Systems	478	(10)
Vectors	488	(8)
The Dot Product	496	(8)
The Cross Product	504	(8)
Equations of Lines and Planes	512	(10)
Functions and Surfaces	522	(7)
Cylindrical and Spherical Coordinates	529	(12)
SkillMasters for Chapter 9	540	(1)
Vector Functions	541	(40)
Vector Functions and Space Curves	542	(6)
Derivatives and Integrals of Vector Functions	548	(6)
Are Length and Curvature	554	(11)
Motion in Space	565	(9)
Parametric Surfaces	574	(7)
SkillMasters for Chapter 10	580	(1)
Partial Derivatives	581	(92)
Functions of Several Variables	582	(8)
Limits and Continuity	590	(9)
Partial Derivatives	599	(14)
Tangent Planes and Linear Approximations	613	(14)
The Chain Rule	627	(14)
Directional Derivatives and the Gradient Vector	641	(11)
Maximum and Minimum Values	652	(14)
Lagrange Multipliers	666	(7)
SkillMasters for Chapter 11	672	(1)
Multiple Integrals	673	(80)
Double Integrals over Rectangles	674	(9)
Interated Integrals	683	(8)
Double Integrals over General Regions	691	(9)
Double Integrals in Polar Coordinates	700	(6)
Applications of Double Integrals	706	(11)
Surface Area	717	(7)
Triple Integrals	724	(10)
Triple Integrals in Cylindrical and Spherical Coordinatess	734	(10)
Change of Variables in Multiple Integrals	744	(9)
SkillMasters for Chapter 12	752	(1)
Vector Calculus	753	(56)
Vector Fields	754	(6)
Line Integrals	760	(8)
The Fundamental Theorem for Line Integrals	768	(7)
Green's Theorem	775	(7)
Curl and Divergence	782	(8)
Surface Integrals	790	(9)
Stokes' Theorem	799	(5)
The Divergence Theorem	804	(5)
SkillMasters for Chapter 13	809