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Applied calculus for the managerial, life, and social sciences : a brief approach

Author: S T Tan
Publisher: Belmont, CA : Cengage Learning, [2015] ©2015
Edition/Format:   Print book : English : Edition 10View all editions and formats

Suitable for majors and non-majors alike, this text uses an intuitive approach that teaches concepts through examples drawn from real-life situations from students' fields of interest. It also  Read more...


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Genre/Form: Textbooks
Document Type: Book
All Authors / Contributors: S T Tan
ISBN: 9781285464640 1285464648
OCLC Number: 893202372
Notes: Includes indexes.
Description: xxi, 691 pages : color illustrations ; 29 cm
Contents: 1. PRELIMINARIES.Precalculus Review I. Precalculus Review II. The Cartesian Coordinate System. Straight Lines.2. FUNCTIONS, LIMITS, AND THE DERIVATIVE.Functions and Their Graphs. The Algebra of Functions. Functions and Mathematical Models. Limits. One-Sided Limits and Continuity. The Derivative.3. DIFFERENTIATION.Basic Rules of Differentiation. The Product and Quotient Rules. The Chain Rule. Marginal Functions in Economics. Higher-Order Derivatives. Implicit Differentiation and Related Rates. Differentials.4. APPLICATIONS OF THE DERIVATIVE.Applications of the First Derivative. Applications of the Second Derivative. Curve Sketching. Optimization I. Optimization II.5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.Exponential Functions. Logarithmic Functions. Compound Interest. Differentiation of Exponential Functions. Differentiation of Logarithmic Functions. Exponential Functions as Mathematical Models.6. INTEGRATION.Antiderivatives and the Rules of Integration. Integration by Substitution. Area and the Definite Integral. The Fundamental Theorem of Calculus. Evaluating Definite Integrals. Area between Two Curves. Applications of the Definite Integral to Business and Economics.7. ADDITIONAL TOPICS IN INTEGRATION.Integration by Parts. Integration Using Tables of Integrals. Numerical Integration. Improper Integrals. Applications of Calculus to Probability.8. CALCULUS OF SEVERAL VARIABLES.Functions of Several Variables. Partial Derivatives. Maxima and Minima of Functions of Several Variables. The Method of Least Squares. Constrained Maxima and Minima and the Method of Lagrange Multipliers. Total Differentials. Double Integrals.
Other Titles: Applied calculus
Responsibility: Soo T. Tan, Stonehill College.


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