Cengage Learning Brief Calculus: An Applied Approach

Designed specifically for the non-math major who will be using calculus in business, economics, or life and social science courses, Brief Calculus: An Applied Approach, 7/e, addresses students' weak math skills through added structure and guidance on how to study math. Special student-success-oriented sections include chapter-opening Strategies for Success; What You Should Learn--and Why You Should Learn It; Section Objectives; Chapter Summaries and Study Strategies; Try Its; Study Tips; and Warm-Up exercises. In addition the text presents Algebra Tips at point of use and Algebra Review at the end of each chapter. Review Note: Each chapter includes an Algebra Review, Chapter Summary and Study Strategies, Review Exercises, and Sample Post-Graduation Exam Questions. A Precalculus Review 0.1 The Real Line and Order 0.2 Absolute Value and Distance on the Real Number Line 0.3 Exponents and Radicals 0.4 Factoring Polynomials 0.5 Fractions and Rationalization 1. Functions, Graphs, and Limits 1.1 The Cartesian Plane and the Distance Formula 1.2 Graphs of Equations 1.3 Lines in the Plane and Slope 1.4 Functions 1.5 Limits 1.6 Continuity 2. Differentiation 2.1 The Derivative and the Slope of a Graph 2.2 Some Rules for Differentiation 2.3 Rates of Change: Velocity and Marginals 2.4 The Product and Quotient Rules 2.5 The Chain Rule 2.6 Higher-Order Derivatives 2.7 Implicit Differentiation 2.8 Related Rates 3. Applications of the Derivative 3.1 Increasing and Decreasing Functions 3.2 Extrema and the First-Derivative Test 3.3 Concavity and the Second-Derivative Test 3.4 Optimization Problems 3.5 Business and Economics Applications 3.6 Asymptotes 3.7 Curve Sketching: A Summary 3.8 Differentials and Marginal Analysis 4. Exponential and Logarithmic Functions 4.1 Exponential Functions 4.2 Natural Exponential Functions 4.3 Derivatives of Exponential Functions 4.4 Logarithmic Functions 4.5 Derivatives of Logarithmic Functions 4.6 Exponential Growth and Decay 5. Integration and Its Applications 5.1 Antiderivatives and Indefinite Integrals 5.2 The General Power Rule 5.3 Exponential and Logarithmic Integrals 5.4 Area and the Fundamental Theorem of Calculus 5.5 The Area of a Region Bounded by Two Graphs 5.6 The Definite Integral as the Limit of a Sum 5.7 Volumes of Solids of Revolution 6. Techniques of Integration 6.1 Integration by Substitution 6.2 Integration by Parts and Present Value 6.3 Partial Fractions and Logistic Growth 6.4 Integration Tables and Completing the Square 6.5 Numerical Integration 6.6 Improper Integrals 7. Functions of Several Variables 7.1 The Three-Dimensional Coordinate System 7.2 Surfaces in Space 7.3 Functions of Several Variables 7.4 Partial Derivatives 7.5 Extrema of Functions of Two Variables 7.6 Lagrange Multipliers 7.7 Least Squares Regression Analysis 7.8 Double Integrals and Area in the Plane 7.9 Applications of Double Integrals Appendices About the Author Dr Ron Larson is a professor of mathematics at the Pennsylvania State University, where he has taught since 1970. He is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored more than 30 software titles since 1990. Dr Larson has also written numerous acclaimed textbooks, including the best-selling Calculus Series published by Cengage. He is the recipient of the 2017 William Holmes McGuffey Longevity Award for PRECALCULUS, the 2018 Text and Academic Authors Association TEXTY Award for CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS and the 2017 William Holmes McGuffey Longevity Award for CALCULUS. He also received the 1996 Text and Academic Authors Association TEXTY Award for INTERACTIVE CALCULUS -- a complete text on CD-ROM that was the first mainstream college textbook to be offered on the internet. Dr. Bruce H. Edwards is professor of mathematics at the University of Florida. Dr. Edwards received his B.S. in mathematics from Stanford University and his Ph.D. in mathematics fr