Discovering Calculus: A Preliminary Version : Multi-Variable

Written in response to the call for reform of the traditional calculus sequence, "Discovering Calculus: A Preliminary Version" focuses on the "what" and "why" of calculus. Intuition and discovery are emphasized and students are encouraged to be active learners. This two-volume text addresses the students' realm of experience and uses accessible language. Applications illustrate topics relevant to many areas of study, such as biology, physics, chemistry, engineering, fluid dynamics, economics and astronomy. Standard, conceptual and essay exercises encourage students to explore both the analytical and geometric aspects of calculus. Differential equations are used to motivate discussions of exponential and logarithmic functions, trigonometric functions and infinite series. Questions check students's mastery of the material and supplementary projects are included to extend concepts covered in the text for individual or group work. Although the use of technology is encouraged, the text is not tied to a specific calculator or CAS. An instructor's resource guide is also available to supplement the text.