A mainstream calculus book with the most flexible and open approach to new ideas and calculator/computer technology. Solid coverage of the calculus of early transcendental functions is now fully integrated in Chapters 1 through 6. A new chapter on differential equations appears immediately after the chapter on techniques of integration. It includes both direction fields and Euler's method, together with the more symbolic elementary methods and applications for both first- and second-order equations. Linear systems and matrices through determinants and eigenvalues are now introduced in Chapter 11. The subsequent multivariable chapters now integrate matrix methods and terminology with traditional multivariable calculus (e.g., the chain rule in matrix form). The CD-ROM accompanying the book contains a functional array of fully integrated learning resources linked to individual sections of the book. The user can view any desired book section in PDF format.