For a one-semester sophomore-level course in multivariable calculus, for Engineering, Mathematics, or Science students. Reform ideas, traditional ideas, and original ideas are combined in this text that is designed to teach concepts and computations, especially intuitive ones about the geometry of 3 space. The core concepts of multivariable calculus are presented in a straightforward, but never simplistic language that will familiarize students with the thinking and speaking habits of mathematicians and ease their access to the mathematics of applications and higher mathematics courses. *Students are engaged through formulas and geometric reasoning-In addition to calculating accurately, students are asked to draw accurately in both two and three dimensions, reason geometrically from figures, make estimates based on ruler-and pencil-constructions, and present their results verbally. *Helps students learn conceptual reasoning and reinforces learning by asking students to work the material in two different modes. *This is a spiral bound text. *Lays flat so students can draw in blank diagrams while reading the text. *A multitude of exercises are interwoven within the flow of the text-T