Brief Applied Calculus,
1st Edition

1. FUNCTIONS AND MODELS.
Functions and their Representations. Combining and Transforming Functions. Linear Models and Rates of Change. Polynomial Models and Power Functions. Exponential Models. Logarithmic Functions.
2. THE DERIVATIVE.
Measuring Change. Limits. Rates of Change and Derivatives. The Derivative as a Function.
3. TECHNIQUES OF DIFFERENTIATION.
Short Cuts to Finding Derivatives. Introduction to Marginal Analysis. The Product and Quotient Rules. The Chain Rule. Implicit Differentiation and Logarithms. Exponential Growth and Decay.
4. APPLICATIONS OF DIFFERENTIATION.
Related Rates. Maximum and Minimum Values. Derivatives and the Shapes of Curves. Asymptotes. Curve Sketching. Optimization. Optimization in Business and Economics.
5. INTEGRALS.
Cost, Area, and the Definite Integral. Fundamental Theorem of Calculus. The Net Change Theorem and Average Value. The Substitution Rule. Integration by Parts.
6. APPLICATIONS OF INTEGRATION.
Areas Between Curves. Applications to Economics. Applications to Biology. Differential Equations. Improper Integrals. Probability.
7. FUNCTIONS OF SEVERAL VARIABLES.
Functions of Several Variables. Partial Derivatives. Maximum and Minimum Values. LaGrange Multipliers.

• James Stewart

  The late James Stewart received his M.S. from Stanford University and his Ph.D. from the University of Toronto. He conducted research at the University of London and was influenced by the famous mathematician George Polya at Stanford University. Dr. Stewart most recently served as a professor of mathematics at McMaster University, and his research focused on harmonic analysis. Dr. Stewart authored a best-selling calculus textbook series, including CALCULUS, CALCULUS: EARLY TRANSCENDENTALS and CALCULUS: CONCEPTS AND CONTEXTS as well as a series of successful precalculus texts.

• Daniel Clegg

  Daniel Clegg received his B.A. in Mathematics from California State University, Fullerton and his M.A. in Mathematics from UCLA. He is currently Associate Professor of Mathematics at Palomar College near San Diego, California. He has assisted James Stewart with various aspects of his calculus texts for more than ten years and is a coauthor of the textbook "Mathematical Excursions" published by Cengage Learning-Brooks/Cole.

• Stewart/Clegg'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.

• Prepare Yourself exercises are designed to check students' prerequisite skills before they attempt the core exercise set. These exercises acknowledge the variety of math abilities, and show students what they need to work on before they move forward.

• Challenge Yourself exercises are more difficult problems intended to elicit students' deeper understanding of key concepts. These exercises are designed to be assigned by instructors who wish to aim at a higher level and keep their more advanced students interested.

• Projects are included throughout to motivate students and help them see the relation of calculus to real life and their intended fields of study. They can be worked in class, assigned as group projects, or given as extra credit.

• Tools for Enriching Calculus for Applied Calculus—an online, interactive resource that allows applied calculus students to work with animations to deepen their understanding of key concepts by helping them visualize the concepts they are learning.

• Exclusively from Cengage Learning, Enhanced WebAssign® offers an extensive online program for Stewart/Clegg's Brief Applied Calculus to encourage the practice that's so critical for concept mastery. The meticulously crafted pedagogy and exercises in the Stewart/Clegg text become even more effective in Enhanced WebAssign, supplemented by multimedia tutorial support and immediate feedback as students complete their assignments. Enhanced WebAssign for Stewart/Clegg includes opportunities for students to review prerequisite skills and content throughout.

• Reflecting Cengage Learning's commitment to offering flexible teaching solutions and value for students and instructors, a hybrid version of the text is offered that includes all of the instructional presentation found in the printed text while delivering end-of-section exercises online in Enhanced WebAssign. The result—a briefer printed text that engages students online and saves them money!

• Interested in a simple way to complement your text and course content with study and practice materials? Cengage Learning's CourseMate 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. CourseMate goes beyond the book to deliver what you need!

• Lead author James Stewart's genuine understanding of students has earned his books a place in classrooms around the world. From the most unprepared student to the most mathematically gifted, the writing and presentation will enhance your understanding and build confidence as you are guided through key ideas, theorems, and problem solving steps.

• Prepare Yourself exercises are designed to check your prerequisite skills before you attempt the core exercise set, and help uncover which topics may require extra attention.

• Challenge Yourself exercises are more difficult problems intended to elicit deeper understanding of key concepts.

• Projects are included throughout to motivate you and help you see the relation of calculus to real life and your intended field of study.

• 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.

Cengage provides a range of supplements that are updated in coordination with the main title selection. For more information about these supplements, contact your Learning Consultant.

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