Brief Applied Calculus, 1st Edition

James Stewart, Daniel Clegg

Copyright 2012
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Brief Applied Calculus 1st Edition by James Stewart/Daniel Clegg

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Overview
Meet the Authors
Features
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Overview

New from James Stewart and Daniel Clegg, BRIEF APPLIED CALCULUS takes an intuitive, less formal approach to calculus without sacrificing the mathematical integrity. Featuring a wide range of applications designed to motivate students with a variety of interests, clear examples detailing important mathematical processes, and a vast collection of exercises appropriate for students with disparate skill sets, this first edition is perfect for students who need to learn how to apply calculus concepts rather than replicate the formal proofs behind the techniques. Early coverage of exponential and logarithmic functions allows for the inclusion of many interesting applications throughout the text. Available with a range of supplements including Enhanced WebAssign, BRIEF APPLIED CALCULUS makes calculus approachable so any student can understand the concepts and be successful in the course.

Meet the Authors

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James Stewart

James Stewart received the M.S. degree from Stanford University and the Ph.D. from the University of Toronto. After two years as a postdoctoral fellow at the University of London, he became Professor of Mathematics at McMaster University. His research has been in harmonic analysis and functional analysis. Stewart’s books include a series of high school textbooks as well as a best-selling series of calculus textbooks published by Cengage Learning. He is also co-author, with Lothar Redlin and Saleem Watson, of a series of college algebra and precalculus textbooks. Translations of his books include those into Spanish, Portuguese, French, Italian, Korean, Chinese, Greek, Indonesian and Japanese. A talented violinist, Stewart was concertmaster of the McMaster Symphony Orchestra for many years and played professionally in the Hamilton Philharmonic Orchestra. He has given more than 20 talks worldwide on mathematics and music. Stewart was named a Fellow of the Fields Institute in 2002 and was awarded an honorary D.Sc. in 2003 by McMaster University. The library of the Fields Institute is named after him. The James Stewart Mathematics Centre was opened in October, 2003, at McMaster University.

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.

Features

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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!

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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.