Student's Solutions Manual Part II to Accompany Thomas' Calculus

, by Scharf, John L.; Weir, Maurice D.; Finney, Ross L.; Giordano, Frank R.

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ISBN: 9780201504026 | 0201504022
Cover: Paperback
Copyright: 10/1/2000

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Summary

Supplemental Materials

Contains detailed solutions for all odd-numbered exercises in Chapters 8-13.

Infinite Series

321

(50)

Limits of Sequences of Numbers

321

(3)

Subsequences, Bounded Sequences, and Picard's Method

324

(1)

Infinite Series

325

(3)

Series of Nonnegative Terms

328

(5)

Alternating Series, Absolute and Conditional Convergence

333

(4)

Power Series

337

(6)

Taylor and Maclaurin Series

343

(3)

Applications of Power Series

346

(4)

Fourier Series

350

(4)

Fourier Cosine and Sine Series

354

(17)

Practice Exercises

357

(9)

Additional Exercises

366

(5)

Vectors in the Plane and Polar Functions

371

(36)

Vectors in the Plane

371

(3)

Dot Products

374

(4)

Vector-Valued Functions

378

(4)

Modeling Projectile Motion

382

(4)

Polar Coordinates and Graphs

386

(6)

Calculus of Polar Curves

392

(15)

Practice Exercises

398

(5)

Additional Exercises

403

(4)

Vectors and Motion in Space

407

(34)

Cartesian (Rectangular) Coordinates and Vectors in Space

407

(2)

Dot and Cross Products

409

(4)

Lines and Planes in Space

413

(4)

Cylinders and Quadric Surfaces

417

(1)

Vector-Valued Functions and Space Curves

418

(4)

Arc Length and the Unit Tangent Vector T

422

(3)

The TNB Frame: Tangential and Normal Components of Acceleration

425

(5)

Planetary Motion and Satellites

430

(11)

Practice Exercises

431

(6)

Additional Exercises

437

(4)

Multivariable Functions and Their Derivatives

441

(52)

Functions of Several Variables

441

(3)

Limits and Continuity in Higher Dimensions

444

(5)

Partial Derivatives

449

(3)

The Chain Rule

452

(5)

Directional Derivatives, Gradient Vectors, and Tangent Planes

457

(4)

Linearization and Differentials

461

(3)

Extreme Values and Saddle Points

464

(7)

Lagrange Multipliers

471

(5)

Partial Derivatives with Constrained Variables

476

(2)

Taylor's Formula for Two Variables

478

(15)

Practice Exercises

479

(10)

Additional Exercises

489

(4)

Multiple Integrals

493

(44)

Double Integrals

493

(7)

Areas, Moments, and Centers of Mass

500

(6)

Double Integrals in Polar Form

506

(3)

Triple Integrals in Rectangular Coordinates

509

(4)

Masses and Moments in Three Dimensions

513

(3)

Triple Integrals in Cylindrical and Spherical Coordinates

516

(8)

Substitutions in Multiple Integrals

524

(13)

Practice Exercises

528

(4)

Additional Exercises

532

(5)

Integration in Vector Fields

537

Line Integrals

537

Vector Fields, Work, Circulation, and Flux

539

Path Independence, Potential Functions, and Conservative Fields

544

Green's Theorem in the Plane

548

Surface Area and Surface Integrals

552

Parametrized Surfaces

557

Stokes' Theorem

565

The Divergence Theorem and a Unified Theory

568

Practice Exercises

571

Additional Exercises

578

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Student's Solutions Manual Part II to Accompany Thomas' Calculus

Summary

Table of Contents

Supplemental Materials