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Summary Essential Calculus textbook

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PDF of the essential calculus textbook that is used for Calculus classes 1 and 2 at the college level.

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, Copyright 2012 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s).
Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it.

, Use this QR code for a shortcut
to stewartcalculus.com




Now that you have the book, enhance it with these free
online resources at stewartcalculus.com:

• Review of Algebra, Analytic • Computer Animations
Geometry, and Conic Sections • Lies My Calculator and
• Homework Hints Computer Told Me
• Additional Examples • Challenge Problems
• Additional Topics • Projects
• And much more...


Copyright 2012 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s).
Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it.




Stewart_WebsiteAd_EC.indd 1 1/19/12 11:13

, WEB PROJECTS

These projects can be completed anytime after you have studied the corresponding section in the textbook.
To select a project, go to www.stewartcalculus.com and click on PROJECTS.

2 DERIVATIVES 2.1 WRITING PROJECT Early Methods for Finding Tangents



2.3 APPLIED PROJECT Building a Better Roller Coaster



2.5 APPLIED PROJECT ■ Where Should a Pilot Start Descent?
2.6 LABORATORY PROJECT ■ Families of Implicit Curves
2.8 LABORATORY PROJECT ■ Taylor Polynomials

3 APPLICATIONS OF DIFFERENTIATION 3.1 APPLIED PROJECT ■ The Calculus of Rainbows
3.5 APPLIED PROJECT ■ The Shape of a Can

4 INTEGRALS 4.3 DISCOVERY PROJECT ■ Area Functions
4.4 WRITING PROJECT ■ Newton, Leibniz, and the Invention of Calculus

5 INVERSE FUNCTIONS 5.6 APPLIED PROJECT ■ Where To Sit at the Movies
5.8 WRITING PROJECT ■ The Origins of L’Hospital’s Rule

6 TECHNIQUES OF INTEGRATION 6.4 DISCOVERY PROJECT ■ Patterns in Integrals

7 APPLICATIONS OF INTEGRATION 7.1 APPLIED PROJECT The Gini Index ■


7.2 DISCOVERY PROJECT Rotating on a Slant ■


7.4 DISCOVERY PROJECT ■ Arc Length Contest
7.5 APPLIED PROJECT ■ Calculus and Baseball
7.6 APPLIED PROJECT ■ How Fast Does a Tank Drain?
APPLIED PROJECT ■ Which Is Faster, Going Up or Coming Down?

8 SERIES 8.1 LABORATORY PROJECT Logistic Sequences



8.7 LABORATORY PROJECT An Elusive Limit



WRITING PROJECT ■ How Newton Discovered the Binomial Series
8.8 APPLIED PROJECT ■ Radiation from the Stars

9 PARAMETRIC EQUATIONS 9.1 LABORATORY PROJECT ■ Running Circles Around Circles
AND POLAR COORDINATES 9.2 LABORATORY PROJECT ■ Bézier Curves
9.3 LABORATORY PROJECT ■ Families of Polar Curves

10 VECTORS AND 10.4 DISCOVERY PROJECT The Geometry of a Tetrahedron



THE GEOMETRY OF SPACE 10.5 LABORATORY PROJECT Putting 3D in Perspective ■


10.9 APPLIED PROJECT ■ Kepler’s Laws

11 PARTIAL DERIVATIVES 11.7 APPLIED PROJECT ■ Designing a Dumpster
DISCOVERY PROJECT ■Quadratic Approximations and Critical Points
11.8 APPLIED PROJECT ■ Rocket Science
APPLIED PROJECT ■ Hydro-Turbine Optimization

12 MULTIPLE INTEGRALS 12.5 DISCOVERY PROJECT Volumes of Hyperspheres■


12.6 DISCOVERY PROJECT The Intersection of Three Cylinders



12.7 LABORATORY PROJECT ■ Families of Surfaces
APPLIED PROJECT ■ Roller Derby

13 VECTOR CALCULUS 13.8 WRITING PROJECT ■ Three Men and Two Theorems

Copyright 2012 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s).
Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it.

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March 4, 2025
Number of pages
976
Written in
2024/2025
Type
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