Humanities, Social Science and Language


Digital Products


Connect®
Course management, reporting, and student learning tools backed by great support.

ALEKS®
Personalize learning and assessment

ALEKS® Placement, Preparation, and Learning
Achieve accurate math placement

SIMnet
Ignite mastery of MS Office and IT skills

McGraw-Hill eBook & ReadAnywhere App
Get learning that fits anytime, anywhere

Services


Inclusive Access
Reduce costs and increase success

LMS Integration
Log in and sync up

Math Placement
Achieve accurate math placement

Content Collections powered by Create®
Curate and deliver your ideal content

Custom Courseware Solutions
Teach your course your way

Professional Services
Collaborate to optimize outcomes

Lecture Capture
Capture lectures for anytime access

Remote Proctoring
Validate online exams even offsite

Institutional Solutions
Increase engagement, lower costs, and improve access for your students

Support


General Help & Support Info
Customer Service & Tech Support contact information

Online Technical Support Center
FAQs, articles, chat, email or phone support

Support At Every Step
Instructor tools, training and resources for ALEKS, Connect & SIMnet

Instructor Sample Requests
Get step by step instructions for requesting an evaluation, exam, or desk copy

Platform System Check
System status in real time

Calculus https://www.mheducation.com/cover-images/Jpeg_400-high/0073383112.jpeg 4 2012 9780073383118 Now in its 4th edition, Smith/Minton, Calculus offers students and instructors a mathematically sound text, robust exercise sets and elegant presentation of calculus concepts. When packaged with ALEKS Prep for Calculus, the most effective remediation tool on the market, Smith/Minton offers a complete package to ensure students success in calculus. The new edition has been updated with a reorganization of the exercise sets, making the range of exercises more transparent. Additionally, over 1,000 new classic calculus problems were added.
09780073383118
Calculus
Calculus

Calculus, 4th Edition

ISBN10: 0073383112 | ISBN13: 9780073383118
By Robert T Smith, Roland Minton
© 2012

Purchase Options:

* 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.

Additional Product Information:

Now in its 4th edition, Smith/Minton, Calculus offers students and instructors a mathematically sound text, robust exercise sets and elegant presentation of calculus concepts. When packaged with ALEKS Prep for Calculus, the most effective remediation tool on the market, Smith/Minton offers a complete package to ensure students success in calculus. The new edition has been updated with a reorganization of the exercise sets, making the range of exercises more transparent. Additionally, over 1,000 new classic calculus problems were added.

Calculus: Early Transcendental Functions

Chapter 0: Preliminaries

0.1, "The Real Numbers and the Cartesian Plane"

0.2, "Lines and Functions"

0.3, "Graphing Calculators and Computer Algebra Systems"

0.4, "Trigonometric Functions"

0.5, "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, "Implicit Differentiation"

2.8, "The Mean Value Theorem"

Chapter 3: Applications of the Derivative

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

3.2, "Maximum and Minimum Values"

3.3, "Increasing and Decreasing Functions"

3.4, "Concavity and the Second Derivative Test"

3.5, "Overview of Curve Sketching"

3.6, "Optimization"

3.7, "Related Rates"

3.8, "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"

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"

Chapter 6: Exponentials, Logarithms and Other Transcendental Functions

6.1, "The Natural Logarithm"

6.2, "Inverse Functions"

6.3, "The Exponential Function"

6.4, "The Inverse Trigonometric Functions"

6.5, "The Calculus of the Inverse Trigonometric Functions"

6.6, "The Hyperbolic Functions"

Chapter 7: Integration Techniques

7.1, "Review of Formulas and Techniques"

7.2, "Integration by Parts"

7.3, "Trigonometric Techniques of Integration"

7.4, "Integration of Rational Functions Using Partial Fractions"

7.5, "Integration Tables and Computer Algebra Systems"

7.6, "Indeterminate Forms and L'Hopital's Rule"

7.7, "Improper Integrals"

7.8, "Probability"

Chapter 8: First-Order Differential Equations

8.1, "Modeling with Differential Equations"

8.2, "Separable Differential Equations"

8.3, "Direction Fields and Euler's Method"

8.4, "Systems of First-Order Differential Equations"

Chapter 9: Infinite Series

9.1, "Sequences of Real Numbers"

9.2, "Infinite Series"

9.3, "The Integral and Comparison Tests"

9.4, "Alternating Series"

9.5, "Absolute Convergence and the Ratio Test"

9.6, "Power Series"

9.7, "Taylor Series"

9.8, "Applications of Taylor Series"

9.9, "Fourier Series"

Chapter 10: Parametric Equations and Polar Coordinates

10.1, "Plane curves and Parametric Equations"

10.2, "Calculus and Parametric Equations"

10.3, "Arc Length and Surface Area in Parametric Equations"

10.4, "Polar Coordinates"

10.5, "Calculus and Polar Coordinates"

10.6, "Conic Sections"

10.7, "Conic Sections in Polar Coordinates"

Chapter 11: Vectors and the Geometry of Space

11.1, "Vectors in the Plane"

11.2, "Vectors in Space"

11.3, "The Dot Product"

11.4, "The Cross Product"

11.5, "Lines and Planes in Space"

11.6, "Surfaces in Space"

Chapter 12: Vector-Valued Functions

12.1, "Vector-Valued Functions"

12.2, "The Calculus of Vector-Valued Functions"

12.3, "Motion in Space"

12.4, "Curvature"

12.5, "Tangent and Normal Vectors"

12.6, "Parametric Surfaces"

Chapter 13: Functions of Several Variables and Partial Differentiation

13.1, "Functions of Several Variables"

13.2, "Limits and Continuity"

13.3, "Partial Derivatives"

13.4, "Tangent Planes and Linear Approximations"

13.5, "The Chain Rule"

13.6, "The Gradient and Directional Derivatives"

13.7, "Extrema of Functions of Several Variables"

13.8, "Constrained Optimization and and Lagrange Multipliers"

Chapter 14: Multiple Integrals

14.1, "Double Integrals"

14.2, "Area, Volume and Center of Mass"

14.3, "Double Integrals in Polar Coordinates"

14.4, "Surface Area"

14.5, "Triple Integrals"

14.6, "Cylindrical Coordinates"

14.7, "Spherical Coordinates"

14.8, "Change of Variables in Multiple Integrals"

Chapter 15: Vector Calculus

15.1, "Vector Fields"

15.2, "Line Integrals"

15.3, "Independence of Path and Conservative Vector Fields"

15.4, "Green's Theorem"

15.5, "Curl and Divergence"

15.6, "Surface Integrals"

15.7, "The Divergence Theorem"

15.8, "Stokes' Theorem"

15.9, "Applications of Vector Calculus"

Chapter 16: Second Order Differential Equations

16.1, Second-Order Equations With Constant Coefficients"

16.2, "Nonhomogeneous Equations: Undetermined Coefficients"

16.3, "Applications of Second-Order Equations"

16.4, "Power Series Solutions of Differential Equations"

Appendix A: Proofs of Selected Theorems

Appendix B: Answers to Odd-Numbered Exercises

Video tutorial:

Your text has great instructor tools, like presentation slides, instructor manuals, test banks and more. Follow the steps below to access your instructor resources or watch the step-by-step video.

Steps to access instructor resources:

  1. To get started, visit connect.mheducation.com to sign in. (If you do not have an account, request one from your McGraw Hill rep. To find your rep, visit Find Your Rep)
  2. Then, under "Find a Title," search by title, author, or subject
  3. Select your desired title, and create a course. (You do not have to create assignments, just a course instance)
  4. Go to your Connect course homepage
  5. In the top navigation, select library to access the title's instructor resources

About the Author

Robert T Smith

Roland Minton

Need support?   We're here to help - Get real-world support and resources every step of the way.