Includes index

Preliminaries -- Limits and continuity -- Differentiation -- Applications of differentiation -- Integration -- Applications of the definite integral -- Integration techniques -- First-order differential equations -- Infinite series -- Parametric equations and polar coordinates -- Vectors and the geometries of space -- Vector-valued functions -- Functions of several variables and partial differentiation -- Mutliple integrals -- Vector calculus -- Second-order differential equations -- Proofs of selected theorems -- Answers to odd numbered exercises

A critical course for science, technology, engineering and math majors. Reflects the three critical components of calculus success as identified by calculus faculty: mastery of prerequisited algebra and trignometry skills; clear and elegant presentation of calculus concepts; and the inclusion of classic calculus problems