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Full Description
Created through a "student-tested, faculty-approved" review process APPLIED CALC is an engaging and accessible solution to accommodate the diverse lifestyles of today's learners at a value-based price. Geared toward business and social science majors, this text equips students with the analytical tools and technological skills they need to be successful in the workplace. Straightforward language and writing style promote conceptual understanding, and the incorporation of real-life applications, examples, and data helps engage students--even those with minimal interest in mathematics. An innovative combination of content delivery both in print and online provides a core text and a wealth of comprehensive multimedia teaching and learning assets, including end-of-chapter review cards, downloadable flashcards and practice problems, online video tutorials, solutions to exercises aimed at supplementing learning outside of the classroom.
Contents
1. FUNCTIONS AND MODELS. 1.1 Functions 1.2 Linear Functions 1.3 Quadratic Functions 1.4 Polynomial and Rational Functions 1.5 Exponential Functions and Logarithms 1.6 Function Modeling and Combining Functions.2. THE DERIVATIVE. 2.1 Average Rate of Change 2.2 Limits and Instantaneous Rates of Change 2.3 The Derivative as a Slope: Graphical Methods 2.4 The Derivative as a Function: Algebraic Method 2.5 Interpreting the Derivative3. DIFFERENTIATION TECHNIQUES. 3.1 Basic Derivative Rules 3.2 The Product and Quotient Rules 3.3 The Chain Rule 3.4 Exponential and Logarithmic Rules 3.5 Implicit Differentiation4. DERIVATIVE APPLICATIONS.4.1 Maxima and Minima 4.2 Applications of Maxima and Minima 4.3 Concavity and the Second Derivative 4.4 Related Rates.5. THE INTEGRAL. 5.1 Indefinite Integrals 5.2 Integration by Substitution 5.3 Using Sums to Approximate Area 5.4 The Definite Integral 5.5 The Fundamental Theorem of Calculus.6. ADVANCED INTEGRATION TECHNIQUES AND APPLICATIONS. 6.1 Integration by Parts 6.2 Area Between Two Curves 6.3 Differential Equations and Applications 6.4 Differential Equations: Limited Growth and Logistic Growth Models.7. MULTIVARIABLE FUNCTIONS AND PARTIAL DERIVATIVES.7.1 Multivariable Functions 7.2 Partial Derivatives 7.3 Multivariable Maxima and Minima 7.4 Constrained Maxima and Minima and Applications.
