Calculus: Early Transcendentals

(4 reviews)


David Guichard, Whitman College

Pub Date: 2017

ISBN 13:

Publisher: Lyryx

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Reviewed by Michael Nyenhuis, Instructor, Kwantlen Polytechnic University, on 7/3/2013.

The text covers the standard topics in first-year calculus, but I think a regular student would have trouble using it. It covers the contents … read more



Reviewed by Sam Pimentel, Assistant Professor of Mathematical Sciences, Trinity Western University, on 8/8/2013.

The textbook covers all the topics necessary for a Calculus 1 course. The entire textbook, chapters 1-11, cover material for a Calculus 2 … read more



Reviewed by Bruce Aubertin, Instructor, Langara College, on 8/16/2013.

The text reviewed here is a version (May 2013) of the single variable portion (chapters 1 -11; 318 pages) of the full text, Calculus: Early … read more



Reviewed by James L. Bailey, Chair, British Columbia Committee on the Undergraduate Program in Mathematics and Statistics, College of the Rockies, on 7/16/2013.

The BCcupms Core Calculus Report (revised 2013):

In 2002 the British Columbia Committee on the Undergraduate Program in … read more


Table of Contents


1 Review 

2 Functions

3 Limits 

4 Derivatives

5 Applications of Derivatives 

6 Integration

7 Techniques of Integration

8 Applications of Integration 

9 Sequences and Series 

10 Differential Equations

11 Polar Coordinates, Parametric Equations 405

12 Three Dimensions

13 Partial Differentiation

14 Multiple Integration

15 Vector Functions 

16 Vector Calculus 

Selected Exercise Answers 

About the Book

Calculus: Early Transcendentals, originally by D. Guichard, has been redesigned by the Lyryx editorial team. Substantial portions of the content, examples, and diagrams have been redeveloped, with additional contributions provided by experienced and practicing instructors. This approachable text provides a comprehensive understanding of the necessary techniques and concepts of the typical Calculus course sequence, and is suitable for the standard Calculus I, II and III courses.

To practice and develop an understanding of topics, this text offers a range of problems, from routine to challenging, with selected solutions. As this is an open text, instructors and students are encouraged to interact with the textbook through annotating, revising, and reusing to your advantage. Suggestions for contributions to this growing textbook are welcome.

Lyryx develops and supports open texts, with editorial services to adapt the text for each particular course. In addition, Lyryx provides content-specific formative online assessment, a wide variety of supplements, and in-house support available 7 days/week for both students and instructors.

About the Contributors


David Guichard is a Professor of Mathematics at Whitman College in Walla Walla, Washington. He received his PhD from the University of Wisconsin, and his research interests include Graph Theory.