Calculus: With Analytic Geometry

An early transcendental approach, with combined coverage of exponential and trigonometric functions, distinguishes this bestselling text. Clear prose enhances the mathematically precise, example-driven treatment that is designed for engineering, science, and mathematics students on one year courses. Features: * Wide variety of applications from different fields, many unique to Ellis/Gulick, helps students perceive calculus realistically and supports the math presented. * Geometric and intuitive motivation introduces concepts, enabling students to understand subsequent definitions and theorems. * Clear but informal topic development with numerous worked examples and nearly 900 illustrations. * Students learn problem-solving skills and master concepts with plentiful graded exercises and applications. Cumulative exercises at the ends of chapters reinforce the main ideas of previous material. New to this edition: * Early coverage of exponential and logarithmic finctions builds on students' algebra knowledge, increases the variety of applications available early in the course, and corresponds to graphing calculator functions. * Marked graphing calculator exercises in the text and a special supplement of examples, programs, and exercises make incorporating technology easy. * Boxed marginal sidebars featuring historical, biographical, and real-life anecdotes pique student interest and make calculus human. * Calculus reform issues are emphasized through a focus on approxiamation, numerical methods, and graphical interpretations. * Early presentation of exponential growth and decay provides students mith multiple contexts for intrpreting the first derivative. * Early introduction to differential equations reflects the importance of calculus in engineering and physics to model real-life phenomena. * Topics for Discussion questions provide students with the opportunity to develop critical thinking, writing, and/or group skills.