Calculus, 7th Edition

Book Cover

Calculus, 7th Edition

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

MULTI-TERM
$119  USD | $155  CAN

WileyPLUS for Calculus combines a modern digital environment with proven pedagogy. Enjoy the freedom to move forward in the course by addressing student preparation or remediation through built-in algebra and trigonometry refresher material and adaptive practice. This text 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, the course offers a flexible approach with variety of problems and examples from the physical, health, and biological sciences, engineering and economics. The approach to instruction allows a variance in the level of theory while emphasizing the connection between calculus and multiple fields of study. WileyPLUS provides 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 engage students. New in WileyPLUS, symbolic palette and graphing questions powered by GeoGebra give instructors the ability to assign more complex auto-graded questions to enhance conceptual understanding in math.

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Adaptive practice:

Every student has a different starting point, and adaptive practice provides endless opportunities for practice to effectively prepare for class or quizzes and exams. 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. Students begin with a quick, section-level diagnostic to determine their initial level of understanding, and they can use the dashboard and quick reports to see what topics they know and don’t know.

Interactive Exploration Applets:

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

New Interactive Questions

New in WileyPLUS, symbolic palette and graphing questions powered by GeoGebra give instructors the ability to assign more complex auto-graded questions to enhance conceptual understanding in math. Enhance your homework assessments with flexible, accurate, and reliable symbolic palette entry and real-time manipulation of graphs.

    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.

Deborah J. Hughes-Hallett is a professor of mathematics at the University of Arizona. Her expertise is in the undergraduate teaching of mathematics. Hughes-Hallett earned a bachelor’s degree in mathematics from the University of Cambridge in 1966, and a master’s degree from Harvard in 1976. She worked as a preceptor and senior preceptor at Harvard from 1975 to 1991, as an instructor at the Middle East Technical University in Ankara, Turkey, from 1981 to 1984, and as a faculty member at Harvard from 1986 to 1998. She served as professor of the practice in the teaching of mathematics at Harvard from 1991 to 1998 and continues to hold an affiliation with Harvard as adjunct professor of public policy in the John F. Kennedy School of Government. She moved to Arizona in 1998, and took on her adjunct position at the Kennedy School in 2001.

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