# Calculus: Early Transcendental Functions

4^{th}Edition

ISBN10: 0073532320

ISBN13: 9780073532325

Copyright: 2012

Instructors: choose ebook for fast access or receive a print copy.

Still Have Questions? Contact your Rep s

With the McGraw-Hill eBook, students can access their digital textbook on the web or go offline via the ReadAnywhere app for phones or tablets.

McGraw-Hill eBook Courses Include:

- Offline reading – study anytime, anywhere
- One interface for all McGraw-Hill eBooks
- Highlighting and note-taking
- Syncs across platforms, always up-to-date
- Available for Android and iOS

#### Rent Monthly

## Purchase Options

Students, we’re committed to providing you with high-value course solutions backed by great service and a team that cares about your success. See tabs below to explore options and pricing. Don't forget, we accept financial aid and scholarship funds in the form of credit or debit cards.

### Loose-Leaf Purchase

- Purchase un-bound 3-ring binder ready textbook
- Flexibility and ease of selecting chapters to take where you want to go

ISBN10: 0077431391 | ISBN13: 9780077431396

Purchase

$195.67

### Hardcopy

Receive via shipping:

- Bound book containing the complete text
- Full color
- Hardcover or softcover

ISBN10: 0073532320 | ISBN13: 9780073532325

Purchase

$164.22

### Connect

- Personalize your learning, save time completing homework, and possibly earn a better grade
- Access to eBook, homework and adaptive assignments, videos, and study resources
- Download free ReadAnywhere App for offline access to eBook for anytime reading
- Connect may be assigned as part of your grade. Check with your instructor to see if Connect is used in your course.

ISBN10: 0077235894 | ISBN13: 9780077235895

180 Day

$104.00

The estimated amount of time this product will be on the market is based on a number of factors, including faculty input to instructional design and the prior revision cycle and updates to academic research-which typically results in a revision cycle ranging from every two to four years for this product. Pricing subject to change at any time.

The estimated amount of time this product will be on the market is based on a number of factors, including faculty input to instructional design and the prior revision cycle and updates to academic research-which typically results in a revision cycle ranging from every two to four years for this product. Pricing subject to change at any time.

### Program Details

# Calculus: Early Transcendental Functions

### Chapter 0: Preliminaries

#### 0.1, "Polynomials and Rational Functions"

#### 0.2, "Graphing Calculators and Computer Algebra Systems"

#### 0.3, "Inverse Functions"

#### 0.4, "Trigonometric and Inverse Trigonometric Functions"

#### 0.5, "Exponential and Logarithmic Functions"

#### 0.6, "Transformations of Functions"

### Chapter 1: Limits and Continuity

#### 1.1, "A Brief Preview of Calculus: Tangent Lines and the Length of a Curve

#### 1.2, "The Concept of Limit"

#### 1.3, "Computation of Limits"

#### 1.4, "Continuity and Its Consequences"

#### 1.5, "Limits Involving Infinity; Asymptotes"

#### 1.6, "Formal Definition of the Limit"

#### 1.7, "Limits and Loss-of-Significance Errors"

### Chapter 2: Differentiation

#### 2.1, "Tangent Lines and Velocity"

#### 2.2, "The Derivative"

#### 2.3, "Computation of Derivatives: The Power Rule"

#### 2.4, "The Product and Quotient Rules"

#### 2.5, "The Chain Rule"

#### 2.6, "Derivatives of Trigonometric Functions"

#### 2.7, "Derivatives of Exponential and Logarithmic Functions"

#### 2.8, "Implicit Differentiation and Inverse Trigonometric Functions"

#### 2.9, "The Hyperbolic Functions"

#### 2.10, "The Mean Value Theorem"

### Chapter 3: Applications of the Derivative

#### 3.1, "Linear Approximations and Newton's Method""

#### 3.2, "Indeterminate Forms and L'Hôpital's Rule "

#### 3.3, "Maximum and Minimum Values"

#### 3.4, "Increasing and Decreasing Functions"

#### 3.5, "Concavity and the Second Derivative Test"

#### 3.6, "Overview of Curve Sketching"

#### 3.7, "Optimization"

#### 3.8, "Related Rates"

#### 3.9, "Rates of Change in Economics and the Sciences"

### Chapter 4: Integration

#### 4.1, "Antiderivatives"

#### 4.2, "Sums and Sigma Notation"

#### 4.3, "Area"

#### 4.4, "The Definite Integral"

#### 4.5, "The Fundamental Theorem of Calculus"

#### 4.6, "Integration by Substitution"

#### 4.7, "Numerical Integration"

#### 4.8, "The Natural Logarithm as an Integral"

### Chapter 5: Applications of the Definite Integral

#### 5.1, "Area Between Curves"

#### 5.2, "Volume: Slicing, Disks and Washers"

#### 5.3, "Volumes by Cylindrical Shells"

#### 5.4, "Arc Length and Surface Area"

#### 5.5, "Projectile Motion"

#### 5.6, "Applications of Integration to Physics and Engineering"

#### 5.7, "Probability"

### Chapter 6: Integration Techniques

#### 6.1, "Review of Formulas and Techniques"

#### 6.2, "Integration by Parts"

#### 6.3, "Trigonometric Techniques of Integration"

#### 6.4, "Integration of Rational Functions Using Partial Fractions"

#### 6.5, "Integration Tables and Computer Algebra Systems"

#### 6.6, "Improper Integrals"

### Chapter 7: First-Order Differential Equations

#### 7.1, "Modeling with Differential Equations"

#### 7.2, "Separable Differential Equations"

#### 7.3, "Direction Fields and Euler's Method"

#### 7.4, "Systems of First-Order Differential Equations"

### Chapter 8: Infinite Series

#### 8.1, "Sequences of Real Numbers"

#### 8.2, "Infinite Series"

#### 8.3, "The Integral and Comparison Tests"

#### 8.4, "Alternating Series"

#### 8.5, "Absolute Convergence and the Ratio Test"

#### 8.6, "Power Series"

#### 8.7, "Taylor Series"

#### 8.8, "Applications of Taylor Series"

#### 8.9, "Fourier Series"

### Chapter 9: Parametric Equations and Polar Coordinates

#### 9.1, "Plane Curves and Parametric Equations"

#### 9.2, "Calculus and Parametric Equations"

#### 9.3, "Arc Length and Surface Area in Parametric Equations"

#### 9.4, "Polar Coordinates"

#### 9.5, "Calculus and Polar Coordinates"

#### 9.6, "Conic Sections"

#### 9.7, "Conic Sections in Polar Coordinates"

### Chapter 10: Vectors and the Geometry of Space

#### 10.1, "Vectors in the Plane"

#### 10.2, "Vectors in Space"

#### 10.3, "The Dot Product"

#### 10.4, "The Cross Product"

#### 10.5, "Lines and Planes in Space"

#### 10.6, "Surfaces in Space"

### Chapter 11: Vector-Valued Functions

#### 11.1, "Vector-Valued Functions"

#### 11.2, "The Calculus of Vector-Valued Functions"

#### 11.3, "Motion in Space"

#### 11.4, "Curvature"

#### 11.5, "Tangent and Normal Vectors"

#### 11.6, "Parametric Surfaces"

### Chapter 12: Functions of Several Variables and Partial Differentiation

#### 12.1, "Functions of Several Variables"

#### 12.2, "Limits and Continuity"

#### 12.3, "Partial Derivatives"

#### 12.4, "Tangent Planes and Linear Approximations"

#### 12.5, "The Chain Rule"

#### 12.6, "The Gradient and Directional Derivatives"

#### 12.7, "Extrema of Functions of Several Variables"

#### 12.8, "Constrained Optimization and and Lagrange Multipliers"

### Chapter 13: Multiple Integrals

#### 13.1, "Double Integrals"

#### 13.2, "Area, Volume and Center of Mass"

#### 13.3, "Double Integrals in Polar Coordinates"

#### 13.4, "Surface Area"

#### 13.5, "Triple Integrals"

#### 13.6, "Cylindrical Coordinates"

#### 13.7, "Spherical Coordinates"

#### 13.8, "Change of Variables in Multiple Integrals"

### Chapter 14: Vector Calculus

#### 14.1, "Vector Fields"

#### 14.2, "Line Integrals"

#### 14.3, "Independence of Path and Conservative Vector Fields"

#### 14.4, "Green's Theorem"

#### 14.5, "Curl and Divergence"

#### 14.6, "Surface Integrals"

#### 14.7, "The Divergence Theorem"

#### 14.8, "Stokes' Theorem"

#### 14.9, "Applications of Vector Calculus"

### Chapter 15: Second Order Differential Equations

#### 15.1, Second-Order Equations With Constant Coefficients"

#### 15.2, "Nonhomogeneous Equations: Undetermined Coefficients"

#### 15.3, "Applications of Second-Order Equations"

#### 15.4, "Power Series Solutions of Differential Equations"

#### Appendix A: Proofs of Selected Theorems

#### Appendix B: Answers to Odd-Numbered Exercises

# Calculus: Early Transcendental Functions

### Chapter 0: Preliminaries

#### 0.1, "Polynomials and Rational Functions"

#### 0.2, "Graphing Calculators and Computer Algebra Systems"

#### 0.3, "Inverse Functions"

#### 0.4, "Trigonometric and Inverse Trigonometric Functions"

#### 0.5, "Exponential and Logarithmic Functions"

#### 0.6, "Transformations of Functions"

### Chapter 1: Limits and Continuity

#### 1.1, "A Brief Preview of Calculus: Tangent Lines and the Length of a Curve

#### 1.2, "The Concept of Limit"

#### 1.3, "Computation of Limits"

#### 1.4, "Continuity and Its Consequences"

#### 1.5, "Limits Involving Infinity; Asymptotes"

#### 1.6, "Formal Definition of the Limit"

#### 1.7, "Limits and Loss-of-Significance Errors"

### Chapter 2: Differentiation

#### 2.1, "Tangent Lines and Velocity"

#### 2.2, "The Derivative"

#### 2.3, "Computation of Derivatives: The Power Rule"

#### 2.4, "The Product and Quotient Rules"

#### 2.5, "The Chain Rule"

#### 2.6, "Derivatives of Trigonometric Functions"

#### 2.7, "Derivatives of Exponential and Logarithmic Functions"

#### 2.8, "Implicit Differentiation and Inverse Trigonometric Functions"

#### 2.9, "The Hyperbolic Functions"

#### 2.10, "The Mean Value Theorem"

### Chapter 3: Applications of the Derivative

#### 3.1, "Linear Approximations and Newton's Method""

#### 3.2, "Indeterminate Forms and L'Hôpital's Rule "

#### 3.3, "Maximum and Minimum Values"

#### 3.4, "Increasing and Decreasing Functions"

#### 3.5, "Concavity and the Second Derivative Test"

#### 3.6, "Overview of Curve Sketching"

#### 3.7, "Optimization"

#### 3.8, "Related Rates"

#### 3.9, "Rates of Change in Economics and the Sciences"

### Chapter 4: Integration

#### 4.1, "Antiderivatives"

#### 4.2, "Sums and Sigma Notation"

#### 4.3, "Area"

#### 4.4, "The Definite Integral"

#### 4.5, "The Fundamental Theorem of Calculus"

#### 4.6, "Integration by Substitution"

#### 4.7, "Numerical Integration"

#### 4.8, "The Natural Logarithm as an Integral"

### Chapter 5: Applications of the Definite Integral

#### 5.1, "Area Between Curves"

#### 5.2, "Volume: Slicing, Disks and Washers"

#### 5.3, "Volumes by Cylindrical Shells"

#### 5.4, "Arc Length and Surface Area"

#### 5.5, "Projectile Motion"

#### 5.6, "Applications of Integration to Physics and Engineering"

#### 5.7, "Probability"

### Chapter 6: Integration Techniques

#### 6.1, "Review of Formulas and Techniques"

#### 6.2, "Integration by Parts"

#### 6.3, "Trigonometric Techniques of Integration"

#### 6.4, "Integration of Rational Functions Using Partial Fractions"

#### 6.5, "Integration Tables and Computer Algebra Systems"

#### 6.6, "Improper Integrals"

### Chapter 7: First-Order Differential Equations

#### 7.1, "Modeling with Differential Equations"

#### 7.2, "Separable Differential Equations"

#### 7.3, "Direction Fields and Euler's Method"

#### 7.4, "Systems of First-Order Differential Equations"

### Chapter 8: Infinite Series

#### 8.1, "Sequences of Real Numbers"

#### 8.2, "Infinite Series"

#### 8.3, "The Integral and Comparison Tests"

#### 8.4, "Alternating Series"

#### 8.5, "Absolute Convergence and the Ratio Test"

#### 8.6, "Power Series"

#### 8.7, "Taylor Series"

#### 8.8, "Applications of Taylor Series"

#### 8.9, "Fourier Series"

### Chapter 9: Parametric Equations and Polar Coordinates

#### 9.1, "Plane Curves and Parametric Equations"

#### 9.2, "Calculus and Parametric Equations"

#### 9.3, "Arc Length and Surface Area in Parametric Equations"

#### 9.4, "Polar Coordinates"

#### 9.5, "Calculus and Polar Coordinates"

#### 9.6, "Conic Sections"

#### 9.7, "Conic Sections in Polar Coordinates"

### Chapter 10: Vectors and the Geometry of Space

#### 10.1, "Vectors in the Plane"

#### 10.2, "Vectors in Space"

#### 10.3, "The Dot Product"

#### 10.4, "The Cross Product"

#### 10.5, "Lines and Planes in Space"

#### 10.6, "Surfaces in Space"

### Chapter 11: Vector-Valued Functions

#### 11.1, "Vector-Valued Functions"

#### 11.2, "The Calculus of Vector-Valued Functions"

#### 11.3, "Motion in Space"

#### 11.4, "Curvature"

#### 11.5, "Tangent and Normal Vectors"

#### 11.6, "Parametric Surfaces"

### Chapter 12: Functions of Several Variables and Partial Differentiation

#### 12.1, "Functions of Several Variables"

#### 12.2, "Limits and Continuity"

#### 12.3, "Partial Derivatives"

#### 12.4, "Tangent Planes and Linear Approximations"

#### 12.5, "The Chain Rule"

#### 12.6, "The Gradient and Directional Derivatives"

#### 12.7, "Extrema of Functions of Several Variables"

#### 12.8, "Constrained Optimization and and Lagrange Multipliers"

### Chapter 13: Multiple Integrals

#### 13.1, "Double Integrals"

#### 13.2, "Area, Volume and Center of Mass"

#### 13.3, "Double Integrals in Polar Coordinates"

#### 13.4, "Surface Area"

#### 13.5, "Triple Integrals"

#### 13.6, "Cylindrical Coordinates"

#### 13.7, "Spherical Coordinates"

#### 13.8, "Change of Variables in Multiple Integrals"

### Chapter 14: Vector Calculus

#### 14.1, "Vector Fields"

#### 14.2, "Line Integrals"

#### 14.3, "Independence of Path and Conservative Vector Fields"

#### 14.4, "Green's Theorem"

#### 14.5, "Curl and Divergence"

#### 14.6, "Surface Integrals"

#### 14.7, "The Divergence Theorem"

#### 14.8, "Stokes' Theorem"

#### 14.9, "Applications of Vector Calculus"

### Chapter 15: Second Order Differential Equations

#### 15.1, Second-Order Equations With Constant Coefficients"

#### 15.2, "Nonhomogeneous Equations: Undetermined Coefficients"

#### 15.3, "Applications of Second-Order Equations"

#### 15.4, "Power Series Solutions of Differential Equations"

#### Appendix A: Proofs of Selected Theorems

#### Appendix B: Answers to Odd-Numbered Exercises

# Related Products

# Related Products

##### Student Solutions Manual for Calculus: Early Transcendental Functions

4^{th} Edition

ISBN10: 0077235908

ISBN13: 9780077235901

### $74.00

#### Shipping Options

- Standard
- Next day air
- 2nd day air
- 3rd day air

#### Rent Now

You will be taken to our partner Chegg.com to complete your transaction.

After completing your transaction, you can access your course using the section url supplied by your instructor.