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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.
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.
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 received his M.S. from Stanford University and his Ph.D. from the University of Toronto. He did research at the University of London and was influenced by the famous mathematician George Polya at Stanford University. Stewart is currently Professor of Mathematics at McMaster University, and his research field is harmonic analysis. Stewart is the author of a best-selling calculus textbook series published by Cengage Learning Brooks/Cole, including CALCULUS, CALCULUS: EARLY TRANSCENDENTALS, and CALCULUS: CONCEPTS AND CONTEXTS, as well as a series of precalculus texts.
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.
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