Provides clear, well organized presentation of calculus with applications to engineering and the sciences. Emphasizes the methods and applications of the calculus with some coverage of relevant theory, including functions, limits, continuity, differentiation, integrations in higher dimensions, and line and surface integrals. Pays particular attention to those aspects of calculus that are important in developing effective problem solving methods--often involving estimating errors or constructing numerical approximations. Supplies more thorough treatment of some major topics than most books, such as: comparison tests for improper integrals; use of power series representations for functions; and the relation between linear approximations and differentiation. Also covers elementary transcendental functions, infinite series, Taylor's approximation, polar coordinates, and vectors and three dimensional geometry.