Calculus Concepts: An Informal Approach to the Mathematics of Change, 1e
Calculus Concepts: An Informal Approach to the Mathematics of Change, Brief, 1e

I. Feature Additions | II. Changes Within a Section | III. Major Content Changes | IV. Supplements

I. Feature Additions [ Top ]

Chapter Opener

includes the goals for the chapter and an opening real data problem that will be explored within each chapter.

Concept Inventory

is a list of the key concepts being explored within a particular section. This feature appears at the end of each section, just before the activities.

Chapter Review Test

is designed to be completed within one class period and follows the Chapter Summary. It includes an average of 5 real data multi-part questions to use as a review test. Answers to all questions are listed in the back of the student text.


contain 2 projects based on chapter concepts are located at the end of each chapter (except Chs. 7 & 11). Example Projects explore Tuition Fees, Compulsory School Laws, Fund Raising Campaign..

Technology Icon

are added to examples which utilize technology and are explored in more detail within the Graphing Calculator Instruction Guide.


The first appendix provides a review of algebra basics, and the second appendix focuses on triangle trigonometry. The second appendix only appears in the longer version of the book.


terms from the book and their definitions


A general index and an index of applications appear at the end of the book.

II. Changes Within a Section [ Top ]

1.) More than 200 new activities have been written for the first edition.

2.) The number of examples has nearly doubled. Examples which appeared in the preliminary edition are now better written, clearer, and more accurate.

3.) There is a greater diversity of applications, including many more life science applications than in the preliminary edition. The first edition contains over 8500 exercises including section, chapter review, chapter test, and cumulative tests.

III. Major Content Changes [ Top ]

1.) Addition of new section (1.3) in Chapter 1 on Constructed Functions, including inverse functions, combining functions, and piecewise continuous functions.

2.) Changed the focus of Chapter 6 to using the definite integral as a limit of sums. Separate trapezoid and rectangle approximations into its own section. Add a section on the accumulation function.

3.) Extensively revised Chapter 7 which now focuses mainly on the applications of integrals and the differences of accumulated change. Added two new sections: Differences of Accumulated Changes and Perpetual Accumulation. The three other sections (Streams in Business and Biology, Integrals in Economics, and Average Values and Averages Rates of Change) have been extensively revised with new subsections, new examples, and new activities. A new section (7.6) on probability distributions and density functions has been added to the long version.

4.) Chapter 8 is a new chapter devoted to cyclical models and trigonometry. Triangle trigonometry appears in Appendix B, but sines and cosines are explored in the first two sections of Ch. 8. All exercises, examples, activities, and projects are new.

5.) Chapter 9 (formerly Chapter 8) is clearly organized containing new exercises, examples, activities, and projects.

6.) Chapter 10 (formerly Chapter 9) now contains a section on multivariable critical points and includes new examples, exercises, activities, and projects.

7.) Chapter 11 is a new chapter on differential equations and proportionality. Topics include differential equations and accumulation functions, separable differential equations, and second order differential equations.

IV. Supplements [ Top ]

  • Graphing Calculator Keystroke Guide
  • Instructor's Guide with Complete Solutions includes sample tests, suggestions for in-class group work, project implementation, and teaching objectives.
  • Instructor Conference Video
  • Test Item File
  • Computerized Testing for Mac and Windows
  • Student Solutions Guide (1 for Brief version; 1 for long version)

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