Calculus
Single and Multivariable, 7th Edition

Calculus
Deborah Hughes-Hallett
William G. McCallum, Andrew M. Gleason, Eric Connally, Daniel E. Flath, Selin Kalaycioglu, Brigitte Lahme, Patti Frazer Lock, David O. Lomen, David Lovelock, Guadalupe I. Lozano, Jerry Morris, David Mumford, Brad G. Osgood, Cody L. Patterson, Douglas Quinney, Karen Rhea, Ayse Arzu Sahin, Adam H. Spiegler, Jeff Tecosky-Feldman, Thomas W. Tucker, Aaron D. Wootton, Elliot J. Marks

© 2017

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Topics covered

Foundations for Calculus: Functions and Limits

Key Concept: The Derivative

Short-Cuts to Differentiation

Using the Derivative

Key Concept: The Definite Integral

Constructing Antiderivatives

Integration

Using the Definitive Integral

Sequences and Series

Approximating Functions Using Series

Differential Equations

Functions of Several Variables

A Fundamental Tool: Vectors

Differentiating Functions of Several Variables

Optimization: Local and Global Extreme

Integrating Functions of Several Variables

Parameterization and Vector Fields

Line Integrals

Flux Integrals and Divergence

The Curl and Stokes' Theorem

Parameters, Coordinates, and Integrals