Calculus, 7th Edition

Book Cover

Calculus, 7th Edition

By Deborah Hughes-Hallett, Andrew M. Gleason, and William G. McCallum, et al.

Calculus continues the Harvard Consortium’s effort to promote courses in which understanding and computation reinforce each other to reduce complicated problems to simple procedures without losing sight of the practical value of mathematics. With a focus on the development of mathematical thinking supported by theory and modeling, this course offers a flexible approach with a variety of problems and examples from the physical, health, and biological sciences as well as engineering and economics. This approach to instruction allows a variance in the level of theory while emphasizing the connection between calculus and multiple fields of study.

Schedule a Demo Sign Up for a Test Drive Adopt WileyPLUS

Want to learn more about WileyPLUS? Click Here

Adaptive practice provides plenty of practice to effectively prepare students.

Students begin with a quick, section-level diagnostic to determine their initial level of understanding. They can use the dashboard and quick reports to see what topics they know and don’t know.

Visualizing more challenging concepts helps improve comprehension.

The HTML5 Interactive Exploration applets help students better understand and visualize difficult concepts. The Interactive Explorations include quizzes to ensure students understand key concepts.

Videos clearly explain concepts for all types of students.

The Assignable Video Series is a full suite of worked example videos of the most difficult examples in each section of the program.

    What’s New

    Calculus enhancements include:

  • WileyPLUS: A flexible platform with customizable content to elevate students’ experience in the modern classroom. Algorithmic auto-graded homework questions and adaptive practice with many viewable metrics and analytics provide a comprehensive, data-driven approach to engaging students.
  • Assignable Video Series: This course includes a full suite of worked example videos for the most difficult examples in each section of the program.
  • Adaptive Practice: Every student has a different starting point, and adaptive practice provides countless opportunities for students to prepare for class or exams and quizzes. Active retrieval of information with practice questions is proven to improve retention of information better than re-reading or reviewing the material, and students who use adaptive practice to prepare for exams do significantly better than those who do not.

The Calculus Consortium was founded in 1988 in response to the call for change at the “Lean and Lively Calculus” and “Calculus for a New Century” conferences. These conferences urged mathematicians to redesign the content and pedagogy used in calculus. The Consortium initially brought together mathematics faculty from Harvard, Stanford, the University of Arizona, Southern Mississippi, Colgate, Haverford, Suffolk Community College, and Chelmsford High School to address the issue. Finding surprising agreement among their diverse institutions, the Consortium was awarded funding from the National Science Foundation to design a new calculus course. A subsequent NSF grant supported the development of a precalculus and multivariable calculus curriculum.

Since its inception, the Calculus Consortium has consisted of members of high school, college, and university faculty, all working together towards a common goal. The collegiality of such a disparate group of instructors is one of the Consortium’s greatest strengths.

Contributors include:

Deborah Hughes-Hallett, University of Arizona; Andrew M. Gleason, Harvard University; William G. McCallum, University of Arizona; Eric Connally, Harvard University Extension; Daniel E. Flath, Macalester College; Selin Kalaycioglu, New York University; Brigitte Lahme, Sonoma State University; Patti Frazer Lock, St. Lawrence University; David O. Lomen, University of Arizona; David Lovelock, University of Arizona; Guadalupe I. Lozano, University of Arizona; Jerry Morris, Sonoma State University; David Mumford, Brown University; Brad G. Osgood, Stanford University; Cody L. Patterson, University of Texas at San Antonio; Douglas Quinney, University of Keele; Karen R. Rhea, University of Michigan; Ayse Arzu Sahin, Wright State University; Adam H. Spiegler, Loyola University-Chicago; Jeff Tecosky-Feldman, Haverford College; Thomas W. Tucker, Colgate University; Aaron D. Wootton, University of Portland; Elliot J. Marks

1. Foundation for Calculus: Functions and Limits
2. Key Concept: The Derivative
3. Short-Cuts to Differentiation
4. Using the Derivative
5. Key Concept: The Definite Integral
6. Constructing Antiderivatives
7. Integration
8. Using the Definite Integral
9. Sequences and Series
10. Approximating Functions Using Series
11. Differential Equations
12. Functions of Several Variables
13. A Fundamental Tool: Vectors
14. Differentiating Functions of Several Variables
15. Optimization: Local and Global Extrema
16. Integrating Functions of Several Variables
17. Parameterization and Vector Fields
18. Line Integrals
19. Flux Integrals and Divergence
20. The Curl and Stokes Theorem
21. Parameters, Coordinates, and Integrals