# Calculus Multivariable Solutions Manual

Edition: 3

Pages: 202

## \$60.78

ISBN 9781792411830

Details Electronic Delivery EBOOK 365 days

This Solutions Manual was written completely by the Authors. This means that it has the same problem- solving format as the textbook and, unlike other solutions manuals, provides more details, more steps toward the solutions, and more commentary and background. The figures and graphics are first-rate. Multivariable Solutions Manual covers Chapters 9-14.

Preface

Chapter 9 Plane Curves and Polar Coordinates
9.1 Parametric Equations
9.2 Parametric Calculus - Derivatives
9.3 Parametric Calculus - Integrals
9.4 Polar Coordinates
9.5 Polar Coordinate Calculus
9.6 Conic Sections

Chapter 10 Vectors and Geometry
10.1 Three Dimensional Coordinate Systems
10.2 Vectors
10.3 The Dot Product
10.4 The Cross Product
10.5 Lines and Planes in Space

Chapter 11 Partial Derivatives
11.1 Functions of Two or More Variables
11.2 Multivariable Limits and Continuity
11.3 Partial Derivatives
11.4 The Chain Rule
11.5 Directional Derivatives - The Gradient
11.6 Tangent Planes
11.7 Local Extrema and Saddle Points

Chapter 12 Multiple Integrals
12.1 Double Integrals and Iterated Integrals
12.2 Double Integrals over General Regions
12.3 Double Integrals in Polar Coordinates
12.4 Applications of Double Integrals
12.5 Triple Integrals
12.6 Triple Integrals in Cylindrical and Spherical Coordinates

Chapter 13 Geometry of Curves and Surfaces
13.1 Space Curves and Arc Length
13.2 Surfaces and Surface Area

Chapter 14 Vector Analysis
14.1 Vector Fields and Differential Operators
14.2 Line Integrals
14.3 The Fundamental Theorem of Line Integrals
14.4 Surface Integrals
14.5 Stokes’ Theorem - Green’s Theorem
14.6 The Divergence Theorem

Mylan Redfern Betounes

Mylan Redfern received her BS in mathematics from Augusta College and her PhD in mathematics from Louisiana State University. She has authored numerous refereed publications in stochastic analysis and has published two books on Mathematical Computing and Calculus. She has taught all levels of mathematics at the University of Southern Mississippi, Valdosta State University, and the University of Texas, Permian Basin.

David Betounes

David Betounes received his BArch in architecture from the University of Southern California and his PhD in mathematics from Florida State University. He has authored numerous refereed publications in differential geometry and mathematical physics and has published four books on DEs, PDEs, Mathematical Computing, and Calculus. He has taught all levels of mathematics at the University of Southern Mississippi, Valdosta State University, and the University of Texas, Permian Basin.

This Solutions Manual was written completely by the Authors. This means that it has the same problem- solving format as the textbook and, unlike other solutions manuals, provides more details, more steps toward the solutions, and more commentary and background. The figures and graphics are first-rate. Multivariable Solutions Manual covers Chapters 9-14.

Preface

Chapter 9 Plane Curves and Polar Coordinates
9.1 Parametric Equations
9.2 Parametric Calculus - Derivatives
9.3 Parametric Calculus - Integrals
9.4 Polar Coordinates
9.5 Polar Coordinate Calculus
9.6 Conic Sections

Chapter 10 Vectors and Geometry
10.1 Three Dimensional Coordinate Systems
10.2 Vectors
10.3 The Dot Product
10.4 The Cross Product
10.5 Lines and Planes in Space

Chapter 11 Partial Derivatives
11.1 Functions of Two or More Variables
11.2 Multivariable Limits and Continuity
11.3 Partial Derivatives
11.4 The Chain Rule
11.5 Directional Derivatives - The Gradient
11.6 Tangent Planes
11.7 Local Extrema and Saddle Points

Chapter 12 Multiple Integrals
12.1 Double Integrals and Iterated Integrals
12.2 Double Integrals over General Regions
12.3 Double Integrals in Polar Coordinates
12.4 Applications of Double Integrals
12.5 Triple Integrals
12.6 Triple Integrals in Cylindrical and Spherical Coordinates

Chapter 13 Geometry of Curves and Surfaces
13.1 Space Curves and Arc Length
13.2 Surfaces and Surface Area

Chapter 14 Vector Analysis
14.1 Vector Fields and Differential Operators
14.2 Line Integrals
14.3 The Fundamental Theorem of Line Integrals
14.4 Surface Integrals
14.5 Stokes’ Theorem - Green’s Theorem
14.6 The Divergence Theorem

Mylan Redfern Betounes

Mylan Redfern received her BS in mathematics from Augusta College and her PhD in mathematics from Louisiana State University. She has authored numerous refereed publications in stochastic analysis and has published two books on Mathematical Computing and Calculus. She has taught all levels of mathematics at the University of Southern Mississippi, Valdosta State University, and the University of Texas, Permian Basin.

David Betounes

David Betounes received his BArch in architecture from the University of Southern California and his PhD in mathematics from Florida State University. He has authored numerous refereed publications in differential geometry and mathematical physics and has published four books on DEs, PDEs, Mathematical Computing, and Calculus. He has taught all levels of mathematics at the University of Southern Mississippi, Valdosta State University, and the University of Texas, Permian Basin.