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

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

• ISBN13: 9780201504026
• ISBN10: 0201504022
• Edition: 10th
• Format: Paperback
• Copyright: 2000-10-01
• Publisher: Addison-Wesley

Summary

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

Table of Contents

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