#### Calculus, 8th Edition

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

The Calculus Consortium’s focus on the “Rule of Four” (viewing problems graphically, numerically, symbolically, and verbally) has become an integral part of teaching calculus in a way that promotes critical thinking to reveal solutions to mathematical problems. Their approach reinforces the conceptual understanding necessary to reduce complicated problems to simple procedures without losing sight of the practical value of mathematics. In this edition of Calculus, the authors continue their focus on introducing different perspectives for students with an increased emphasis on active learning in a ‘flipped’ classroom.

The world has evolved, and the Consortium has too; the authors continue their focus on introducing different perspectives for students with an increased emphasis on providing tools for a variety of classroom formats. Algorithmic auto-graded homework questions, videos, active learning worksheets, and many viewable student metrics provide a comprehensive, data-driven approach to engage students. New graphing questions and visual aids powered by GeoGebra allow for complex, multi-part question types that reinforce the Rule of Four to enhance conceptual understanding and visualization.

The 8th edition features a variety of problems with applications from the physical sciences, health, biology, engineering, and economics, allowing for engagement across multiple majors. The Consortium brings Calculus to (real) life with current, relevant examples and a focus on active learning.

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Interactive Explorations

allow visualization of calculus topics and guide students through key concepts for better understanding.

Pre-Lecture and Mini-Lecture Videos with ConcepTests

allow flexibility in any classroom format with author-led discussion on key concepts. These videos provide students with enough information to immediately tackle problems in every section.

Graphing and Complex Questions Powered by GeoGebra

give instructors the ability to assign more complex auto-graded questions to improve conceptual understanding in math.

**Deborah J. Hughes-Hallett** is 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.

Chapter 1: A Library of Functions

Chapter 2: Key Concept: The Derivative

Chapter 3: Short-Cuts to Differentiation

Chapter 4: Using the Derivative

Chapter 5: Key Concept: The Definite Integral

Chapter 6: Constructing Antiderivatives

Chapter 7: Integration

Chapter 8: Using the Definite Integral

Chapter 9: Sequences and Series

Chapter 10: Approximating Functions

Chapter 11: Differential Equations

Chapter 12: Functions of Several Variables

Chapter 13: A Fundamental Tool: Vectors

Chapter 14: Differentiating Functions of Several Variables

Chapter 15: Optimization: Local and Global Extrema

Chapter 16: Integrating Functions of Several Variables

Chapter 17: Parameterization and Vector Fields

Chapter 18: Line Integrals

Chapter 19: Flux Integrals and Divergence

Chapter 20: The Curl and Stokes’ Theorem

Chapter 21: Parameters, Coordinates, and Integrals