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
Table of Contents
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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

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 the University of Toronto. His research focused on harmonic analysis. Dr. Stewart authored the best-selling calculus textbook series, including CALCULUS, CALCULUS: EARLY TRANSCENDENTALS and CALCULUS: CONCEPTS AND CONTEXTS, as well as a series of successful precalculus texts and college algebra and trigonometry 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.

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.