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Content Features
Early introduction of the transcendental functions
and their derivatives makes it possible for students to get more
practice with these functions and work with more realistic examples
and exercises.
 Starts in Section 2.5, p. 121
Student work is motivated using the intuitive content of motion.
Students have more time to become familiar with vectors, parametric
equations, and parametric surfaces before studying Divergence Theorem
and Stokes' Theorem.
Starts in Section 3.2, p. 202
Chapter 8 includes a brief treatment of linear transformations,
motion in three dimensions, cross product, and equations of planes.
This contributes towards a clearer understanding of linear approximations
in higher dimensions, the chain rule for functions of several variables,
and the change of variables theorems for mulitiple integrals.
>>Chapter 8
Modeling is employed to help future scientists and engineers
better understand physical phenomena. A solide itroduction appears
early in the text to get students to make a habit of using differential
equations to model changing situations.
•Population Models. Starts with "A Simple Model" on p. 174, then moves onto
"A Better Model" on p. 175
pp. 174-176
•Modeling Red Blood Cell Levels during Surgery
pp. 176-177
•Modeling Combat
pp. 177-178
•Modeling a Bungee Jump
pp. 178-180
•Precalculus Review-Precalculus material is
reviewed in Sections 1.1 and 1.2, while bringing out new ideas or fresh ways of looking at old material.
•Data is used from the Iditarod Sled Dog race
as an example of a function given in tabular form.
p. 5, example 3
•Shifts and dilations
of graphs are treated in the context of composition with a linear function.
p. 15, example 5
•There are follow-up exercises as well:
page 18, exercises 28-33
•Discusses the rate of change of the exponential function in graphical and numerical content.
p. 63, exercise 16
This unique supplement is designed to provide algorithmically-generated
problems on the algebra and trigonometry that students need in calculus.
An individualized study plan is generated, which is continually updated
based on the student's progress.
http://www.mathxl.com/jito/
•Skill-building Exercises
-There are a wealth of exercises in each section that are designed
to hone basic skills and build student confidence.
pp. 348-349, exercises 1-40
•Challenging Exercises
Many exercises ask students to fill in some details in an example,
or to rework an example in order to encourage close reading. Students
may be required to work beyond the material discussed in the text,
or to think about and use the concepts introduced in the text in
ways not illustrated in the examples.
p. 96, exercise 32
pp. 139-140, exercises 36, 37, 58
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