Fueled by rapid advances in technology and a reevaluation of traditional course content, this edition uses a clear and rigorous approach to the newer visions of calculus. A slew of colorful illustrations aid readers in understanding the concepts embodied in the mathematical symbolism. Well-balanced exercise sets have been extensively modified and expanded, beginning with routine drill problems and gradually progressing toward more difficult ones. Includes a chapter on second-order differential equations and an appendix which covers the basic concepts of complex numbers.