Features• Organization The text was written for a standard three semester sequence, with a provision for "early vectors."
• Spiral Learning The text lists three loosely related features of our book under "spiral learning:" early transcendentals; early vectors; and linear transformations. 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.
• Precalculus Review Section 1.1 and 1.2 provide a brief review of functions, and an appendix is also provided for students who need help with prerequisite material.
• Graphs and Tables To encourage more active reading, students are asked to verify table entries or to reproduce graphs that accompany investigations and examples. In most cases, students can obtain qualitatively similar graphs with a graphing calculator.
• Linear Algebra For instructors wishing to include coverage of linear algebra within the calculus sequence, there is a wealth of material in Chapter 8, including Matrices and Determinants, the Cross Product, and Linear Functions.
• Differential Equations Calculus is the language of science and engineering. This statement is very will illustrated by the wide range of physical and biological phenomena that are modeled with differential equations.
• Challenging Exercises Every exercise set contains selected problems whose solution method is not covered in an example. In these problems, students may be required to work a little beyond the material discussed in the text, or to think about and use the text concepts in ways not illustrated in the examples.
• Investigations The authors sometimes use the context of an "investigation" to introduce a topic through physical, numerical, graphical or symbolic ideas to get at the main ideas in advance of formal definitions or specific techniques.
• Appropriate Use of Technology The text assumes that each student has convenient access to at least a graphing calculator. One of the goals of this text is for students to become proficient in investigating problems using an appropriate combination of graphical, numerical, or symbolic modes.