# Calculus Early Transcendentals MultiVariable

## Third EditionJon Rogawski

©2015
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ISBN:9781464171758

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Student Solutions Manual for Calculus Early and Late Transcendentals Multivariable
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**This alternative version of Rogawski and Adams’ Calculus: Early Transcendentals includes chapters 11-17 of the Third Edition, and is ideal for instructors who just want coverage of topics in multivariable calculus.**

*Calculus*offers an ideal balance of formal precision and dedicated conceptual focus, helping students build strong computational skills while continually reinforcing the relevance of calculus to their future studies and their lives. Guided by new author Colin Adams, the new edition stays true to the late Jon Rogawski’s refreshing and highly effective approach, while drawing on extensive instructor and student feedback, and Adams’ three decades as a calculus teacher and author of math books for general audiences.

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## Table of Contents

**Rogawski/Adams: Calculus Early Transcendentals 3e, Multivariable Table of Contents**

Chapter 11: Parametric Equations, Polar Coordinates, and Conic Sections

11.1 Parametric Equations

Chapter 11: Parametric Equations, Polar Coordinates, and Conic Sections

11.2 Arc Length and Speed

11.3 Polar Coordinates

11.4 Area and Arc Length in Polar Coordinates

11.5 Conic Sections

Chapter Review Exercises

**Chapter 12: Vector Geometry**

12.1 Vectors in the Plane

12.2 Vectors in Three Dimensions

12.3 Dot Product and the Angle Between Two Vectors

12.4 The Cross Product

12.5 Planes in Three-Space

12.6 A Survey of Quadric Surfaces

12.7 Cylindrical and Spherical Coordinates

Chapter Review Exercises

**Chapter 13: Calculus of Vector-Valued Functions**

13.1 Vector-Valued Functions

13.2 Calculus of Vector-Valued Functions

13.3 Arc Length and Speed

13.4 Curvature

13.5 Motion in Three-Space

13.6 Planetary Motion According to Kepler and Newton

Chapter Review Exercises

**Chapter 14: Differentiation in Several Variables**

14.1 Functions of Two or More Variables

14.2 Limits and Continuity in Several Variables

14.3 Partial Derivatives

14.4 Differentiability and Tangent Planes

14.5 The Gradient and Directional Derivatives

14.6 The Chain Rule

14.7 Optimization in Several Variables

14.8 Lagrange Multipliers: Optimizing with a Constraint

Chapter Review Exercises

**Chapter 15: Multiple Integration**

15.1 Integration in Two Variables

15.2 Double Integrals over More General Regions

15.3 Triple Integrals

15.4 Integration in Polar, Cylindrical, and Spherical Coordinates

15.5 Applications of Multiple Integrals

15.6 Change of Variables

Chapter Review Exercises

**Chapter 16: Line and Surface Integrals**

16.1 Vector Fields

16.2 Line Integrals

16.3 Conservative Vector Fields

16.4 Parametrized Surfaces and Surface Integrals

16.5 Surface Integrals of Vector Fields

Chapter Review Exercises

**Chapter 17: Fundamental Theorems of Vector Analysis**

17.1 Green’s Theorem

17.2 Stokes’ Theorem

17.3 Divergence Theorem

Chapter Review Exercises

**Appendices**

A. The Language of Mathematics

B. Properties of Real Numbers

C. Induction and the Binomial Theorem

D. Additional Proofs

Answers to Odd-Numbered Exercises

References

Index

References

Index