Read more about Calculus: Early Transcendentals

Calculus: Early Transcendentals

(9 reviews)

David Guichard, Whitman College

Copyright Year: 2017

Last Update: 2021

Publisher: Lyryx

Language: English

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Reviewed by Susan Aydelotte, Professor, College of Western Idaho on 9/12/22

The first two chapters contain review material, with perhaps one exception being hyperbolic functions. I liked the use of set notation and the examples used to illustrate concepts. I might include more graphs to help visual learners. The order of... read more

Reviewed by Richard McBride, Mathematics Instructor, Lane Community College on 1/12/21

The text is very comprehensive, and covers all topics in a typical three semester calculus sequence. The writing is very concise, but on the other hand does not provide a lot of context or applications interwoven throughout the sections. The... read more

Reviewed by Olusegun Otunuga, Assistant Professor, Marshall University on 5/13/20

1. Section 9.2: It would be nice if the author can include telescoping series examples, showing how limit of partial sum lim s_{n} =s (convergence of series) 2. Section 8.3: Give a general formula (in form of a theorem) for finding the volume... read more

Reviewed by Peng Lu, Professor, University of Oregon on 5/15/19

1. Chapter 1 helps students to warm up to the course which usually starts from Chapter 2. 2. Section 3.5.3 and 3.5.4 is not in many other calculus book. 3. The Taylor polynomial as approximation (5.4.3) is nice, my teaching experience is some... read more

Reviewed by Wei Wei, Associate Professor, Metropolitan State University on 1/7/16

This textbook contains 10 chapters and selected exercise answers. The book covers the review of algebra and functions, limit, derivatives, derivative tests, graphing using the derivative tests, L'Hopital Rule, optimization problem, integration,... read more

Reviewed by Bruce Aubertin, Instructor, Langara College on 8/15/13

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 Transcendentals by Guichard et al, which includes both single and multivariable calculus and can be... read more

Reviewed by Sam Pimentel, Assistant Professor of Mathematical Sciences, Trinity Western University on 8/7/13

The textbook covers all the topics necessary for a Calculus 1 course. The entire textbook, chapters 1-11, cover material for a Calculus 2 course, with the exception that the current copy received for review doesn't include a section/chapter on... read more

Reviewed by James L. Bailey, Chair, British Columbia Committee on the Undergraduate Program in Mathematics and Statistics, College of the Rockies on 7/15/13

The BCcupms Core Calculus Report (revised 2013): In 2002 the British Columbia Committee on the Undergraduate Program in Mathematics and Statistics (BCcupms) accepted the Core Calculus Report. It was reviewed in 2007 and revised in 2013.... read more

Reviewed by Michael Nyenhuis, Instructor, Kwantlen Polytechnic University on 7/2/13

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 at a more mathematically sophisticated level than students are usually used to. For example, limits... read more

Table of Contents

  • Introduction
  • 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
  • Index

Ancillary Material

  • Lyryx
  • 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.

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