Calculus: Early Transcendental Functions, 4th Edition (Smith)

Overview

Now in its 4th edition, Smith/Minton, Calculus: Early Transcendental Functions offers students and teachers a mathematically sound text, robust exercise sets and elegant presentation of calculus concepts. The new edition has been updated with a reorganization of the exercise sets, making the range of exercises more transparent.

• 1,000 new classic calculus problems were added covering topics from polynomials to multivariable calculus, including optimization, related rates, integration techniques and applications, parametric and polar equations, vectors, vector calculus, and differential equations.
• Reorganized Exercise Sets – Exercise sets have been reorganized to make the range of problems more transparent. Earlier exercises focus on fundamentals, as developed in examples in the text. Later exercises explore interesting extensions of the material presented in the text.
• Application exercises have been separated out in all appropriate sections. A new header identifies the location of applied exercises which are designed to show students the connection between what they learn in class, other areas of study, and outside life.
• Multi-step exercises help students make connections among concepts and require students to become more critical readers. Closely related exercises are different parts of the same numbered exercise, with follow-up questions to solidify lessons learned.
• The derivatives of hyperbolic functions are developed in Section 2.9, giving this important class of functions a full development. Separating these functions from the exponential and trigonometric functions allows for early and comprehensive exploration of the relationship between these functions, exponential functions, trigonometric functions, and their derivatives and integrals.
• Writing Exercises – Each exercise set begins with writing exercises that encourage students to carefully consider important mathematical concepts and ideas in new contexts, and to express their findings in their own words. The writing exercises may also be used as springboards for class discussion