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This book is for instructors who think that most calculus textbooks are too long. In writing the book, James Stewart asked himself: What is essential for a three-semester calculus course for scientists and engineers? The author achieved this relative brevity primarily by condensing the exposition and by putting some of the features on the book's website, www. Despite the more compact size, the book has a modern flavor, covering technology and incorporating material to promote conceptual understanding, though not as prominently as in Stewart's other books.
The late James Stewart received his M. He did research at the University of London and was influenced by the famous mathematician George Polya at Stanford University. Stewart was most recently Professor of Mathematics at McMaster University, and his research field was harmonic analysis. Functions and Their Representations. A Catalog of Essential Functions. The Limit of a Function. Calculating Limits. Limits Involving Infinity.
Derivatives and Rates of Change. The Derivative as a Function. Basic Differentiation Formulas. The Product and Quotient Rules. The Chain Rule. Implicit Differentiation. Related Rates. Linear Approximations and Differentials. Maximum and Minimum Values. The Mean Value Theorem. Derivatives and the Shapes of Graphs. Curve Sketching. Optimization Problems. Newton's Method. Areas and Distances.
The Definite Integral. Evaluating Definite Integrals. The Fundamental Theorem of Calculus. The Substitution Rule. Inverse Functions.
The Natural Logarithmic Function. The Natural Exponential Function. General Logarithmic and Exponential Functions. Exponential Growth and Decay. Inverse Trigonometric Functions. Hyperbolic Functions. Indeterminate Forms and l'Hospital's Rule. Integration by Parts. Trigonometric Integrals and Substitutions. Partial Fractions. Integration with Tables and Computer Algebra Systems. Approximate Integration. Improper Integrals. Areas between Curves.
Volumes by Cylindrical Shells. Arc Length. Area of a Surface of Revolution. Applications to Physics and Engineering. Differential Equations. The Integral and Comparison Tests. Other Convergence Tests. Power Series. Representing Functions as Power Series.
Taylor and Maclaurin Series. Applications of Taylor Polynomials. Parametric Curves. Calculus with Parametric Curves. Polar Coordinates. Areas and Lengths in Polar Coordinates. Conic Sections in Polar Coordinates. All supplements have been updated in coordination with the Main title.
Please see Main title page for new to this edition information. Complement your text and course content with study and practice materials. Watch student comprehension soar as your class works with the printed textbook and the textbook-specific website. Liberal Arts Mathematics CourseMate goes beyond the book to deliver what you need!
You can also link to Solution Builder's online solutions manual, which allows you to easily build solution sets for homework or exams. This online instructor database offers complete worked solutions to all exercises in the text, allowing you to create customized, secure solutions printouts in PDF format matched exactly to the problems you assign in class.
Visit Cengage. Contains fully worked-out solutions to all of the odd-numbered exercises in the text, giving students a way to check their answers and ensure that they took the correct steps to arrive at an answer.
This guide helps students navigate Enhanced WebAssign. It includes instructions on how to use the Assignment page and its Summary, tips on using MathPad for providing easy input of math notation and symbols, an overview of the Graphing Utility's drawing tools for completing graphing assignments, and information on how to access grades and scores summary.
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If you are not certain this is the correct access code for your course, please contact your Cengage Learning Consultant. Exclusively from Cengage Learning, WebAssign combines exceptional mathematics content with the most powerful online homework solution. This instant access code will be delivered via email when purchased. The more you study, the better the results. Make the most of your study time by accessing everything you need to succeed in one place. Read your textbook, take notes, review flashcards, watch videos, and take practice quizzes—online with CourseMate.
This manual includes worked out solutions to every odd-numbered exercise in Essential Calculus, 2e. If your instructor has chosen to package Enhanced WebAssign with your text, this manual will help you get up and running quickly with the Enhanced WebAssign system so you can study smarter and improve your performance in class. If you need to retake the course and your instructor is using the same book AND edition then you will not need to buy a new code.
If you are not certain this is the correct access code for your course, please contact your instructor. Overview About the Product This book is for instructors who think that most calculus textbooks are too long.
Features The text presents a concise approach to calculus for instructors who want to focus on essential principles and who feel no need for frills. Brevity is achieved through condensed exposition, fewer examples in some sections, fewer technology and conceptual problems, and fewer appendixes.
Problems Plus and Projects have been moved to the author's website www. Certain topics, such as the treatment of the integral and the remainder term in Taylor Series, are presented in a manner that is more traditional than Stewart's other books.
This version of the text presents exponential, logarithmic, and inverse trigonometric functions late, with the logarithm defined as an integral. For the convenience of instructors who wish to cover additional material, the www. Additional topics with exercises available at www. Links to outside web resources and the History of Mathematics, with links to historical websites, are also available at the site. Margin notes clarify and expand on topics presented in the main body of the text by providing cautions, historical background, and references to Tools for Enriching Calculus and the author's website.
Tools for Enriching Calculus--a free, online, interactive resource that allows Calculus students to work with animations that deepen their understanding by helping them visualize the concepts they are learning--has been updated with new problems and a new Flash design that is more visually appealing and engaging.
Included in a Cengage Unlimited subscription. Learn More. Your students can pay an additional fee for access to an online version of the textbook that might contain additional interactive features. Your students can use chapter and section assessments to gauge their mastery of the material and generate individualized study plans that include various online, interactive multimedia resources. Your students are allowed unlimited access to WebAssign courses that use this edition of the textbook at no additional cost.
Essential Calculus, 2nd Edition, Complete Solution Manual