Calculus: Early Transcendentals

Description

Overview:Success in your calculus course starts here! James Stewart's Calculus: Early Transcendentals, 7e, is a world-wide best-seller for a reason: clear, accurate, and filled with relevant, real-world examples. With CAalculus: Early Transcendentals, 7e, Stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an appreciation for the intrinsic beauty of the subject. His patient examples and built-in learning aids will help you build your mathematical confidence and achieve your goals in the course.Features:• Four carefully crafted diagnostic tests in algebra, analytic geometry, functions, and trigonometry appear at the beginning of the text. These provide students with a convenient way to test their pre-existing knowledge and brush up on skill techniques they need to successfully begin the course. Answers are included, and students who need to improve will be referred to points in the text or on the book's website where they can seek help.• Stewart's writing style speaks clearly and directly to students, guiding them through key ideas, theorems, and problem-solving steps, and encouraging them to think as they read and learn calculus.• Every concept is supported by thoughtfully worked examples—many with step-by-step explanations—and carefully chosen exercises. The quality of this pedagogical system is what sets Stewart's texts above others.• Examples are not only models for problem solving or a means of demonstrating techniques; they also encourage students to develop an analytic view of the subject. To provide further insight into mathematical concepts, many of these detailed examples display solutions that are presented graphically, analytically, and/or numerically. Margin notes expand on and clarify the steps of the solution.• The text's clean, user-friendly design provides a clear presentation of calculus. The art program, with its functional and consistent use of color, helps students identify and review mathematical concepts more easily.• The topic of Differential Equations is unified by the theme of modelling. Qualitative, numerical, and analytic approaches are given equal consideration.• Stewart draws on physics, engineering, chemistry, biology, medicine, and social science to motivate students and demonstrate the power of calculus as a problem-solving tool in a wide variety of fields.• Stewart's presentation repeatedly provides answers to the question, When will I use this? You''ll find many examples of how calculus is used as a problem-solving tool in fields such as physics, engineering, chemistry, biology, medicine, and the social sciences.• Stewart's text offers an extensive collection of more than 8,000 quality exercises. Each exercise set is carefully graded, progressing from skill-development problems to more challenging problems involving applications and proofs. The wide variety of types of exercises includes many technology-oriented, thought-provoking, real, and engaging problems.• Conceptual exercises encourage the development of communication skills by explicitly requesting descriptions, conjectures, and explanations. These exercises stimulate critical thinking and reinforce the concepts of calculus.• A wealth of engaging projects reinforce concepts. "Writing Projects" ask students to compare present-day methods with those of the founders of calculus. "Discovery Projects" anticipate results to be discussed later. "Applied Projects" feature content that engages student interest and demonstrates the real-world use of mathematics. "Laboratory Projects" anticipate results to be discussed later or encourage discovery through pattern recognition.• Comprehensive review sections follow each chapter and further support conceptual understanding. A "Concept Check" and "True/False Quiz" allow students to prepare for upcoming tests through ideas and skill-building.• "Strategies" sections (based on George Polya''s problem-solving methodology) help students select what techniques they'll need to solve problems in situations where the choice is not obvious, and help them develop true problem-solving skills and intuition.• Historical and biographical margin notes enliven the course and show students that mathematics was developed to help explain and represent natural phenomena.• Additional exercises have been added to the existing end-of-chapter collections of more challenging exercises called "Problems Plus". These sections reinforce concepts by requiring students to apply techniques from more than one chapter of the text, and by patiently showing them how to approach a challenging problem.• TOC change: For this edition, Stewart has combined the material that previously appeared in Chapters 1 and 2. This means that Calculus, 7e, and Calculus: Early Transcendentals, 7e, have the same number of chapters, allowing for a single Multivariable text, rather than two separate ET and LT versions. Chapters 1 and 2 have been combined – and some material has been moved to an appendix—to streamline the presentation of these early topics.• Throughout the text, the author has revised the narrative as necessary to improve clarity and aid in student comprehension.• New examples, margin notes, applications, and projects have been added. In addition, new collections of more challenging exercises called "Problems Plus" have been added, reinforcing concepts by requiring students to apply techniques from more than one chapter of the text. "Problems Plus" sections patiently show students how to approach a challenging problem.• New! This edition has been updated with approximately 25% more exercises than the previous edition, giving students more opportunities to practice concepts they have learned.• New "PS" icons denoting problem-solving margin notes are aimed at increasing instructors'' awareness of this important aspect of Stewart's approach.• New! Interested in a simple way to complement your text and course content with study and practice materials? Cengage Learning's Course Mate brings course concepts to life with interactive learning, study, and exam preparation tools that support the printed textbook. Watch student comprehension soar as your class works with the printed textbook and the textbook-specific website. Course Mate goes beyond the book to deliver what you need!• Course Mate includes Interactive eBook, Flashcards, Interactive Quiz and more.