Calculus of a Single Variable (AP® Edition)

9781337286909

Overview

The Larson CALCULUS OF A SINGLE VARIABLE program has a long history of innovation in the calculus market. It has been widely praised by a generation of students and professors for its solid and effective pedagogy that addresses the needs of a broad range of teaching and learning styles and environments. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning. For use in or out of the classroom, the companion website LarsonCalculus.com offers free access to multiple tools and resources to supplement students’ learning. Stepped-out solution videos with instruction are available at CalcView.com for selected exercises throughout the text.

Author

Ron Larson

Dr. Ron Larson is a professor of mathematics at the Pennsylvania State University, where he has taught since 1970. He is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored more than 30 software titles since 1990. Dr. Larson has also authored numerous acclaimed textbooks, including the best-selling calculus series coauthored with Dr. Bruce Edwards and published by Cengage. Dr. Larson received the 2017 William Holmes McGuffey Longevity Award for PRECALCULUS and for CALCULUS. He also received the 2018 Text and Academic Authors Association TEXTY Award for CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS. In addition, Dr. Larson received the 1996 Text and Academic Authors Association TEXTY Award for INTERACTIVE CALCULUS -- a complete text on CD-ROM that was the first mainstream college textbook to be offered on the internet.

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Table of Contents

P. Preparation for Calculus
1. Limits and their Properties
2. Differentiation
3. Applications of Differentiation
4. Integration
5. Logarithmic, Exponential, and Other Transcendental Functions
6. Differential Equations
7. Applications of Integration
8. Integration Techniques, L’Hopital’s Rule, and Improper Integrals
9. Infinite Series
10. Conics, Parametric Equations, and Polar Coordinates
A. Proofs of Selected Theorems
B. Integration Tables
C. Precalculus Review (online)
D. Rotation and the General Second-Degree Equation (online)
E. Complex Numbers (online)
F. Business and Economic Applications (online)
G. Fitting Models to Data (online)

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Student Supplements

Fast Track to a 5 Test Prep for AP Calculus AB & BC

9781337625166

Fast Track to a 5: Preparing for the AP Calculus AB and Calculus BC Examinations is correlated directly to the Eleventh Edition of Ron Larson's AP Calculus and AP Calculus of a Single Variable. This resource provides a diagnostic test, practice questions, and full-length pr... more

Fast Track to a 5: AP® Test Preparation Workbook

9781337286961

Students benefit from this workbook that provides full test-prep support to help them study quickly, efficiently, and effectively. It features diagnostic tests, quizzes, and more.