Study Guide for Stewart’s Multivariable

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.

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

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Study Guide for Stewart’s Multivariable Calculus Concepts and Contexts

Summary

Table of Contents

Supplemental Materials