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I. Feature Additions [ Top ]
Chapter Review Test
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.
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.
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