Synopses & Reviews
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.
About the Author
Dr. Ron Larson is a professor of mathematics at The Pennsylvania State University where he has taught since 1970. He received his Ph.D. in mathematics from the University of Colorado and is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored over 30 software titles since 1990. Dr. Larson conducts numerous seminars and in-service workshops for math educators around the country about using computer technology as an instructional tool and motivational aid. He is the recipient of the 2012 William Holmes McGuffey Longevity Award for PRECALCULUS: REAL MATHEMATICS, REAL PEOPLE and 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.) Bruce Edwards has been a mathematics professor at the University of Florida since 1976. Dr. Edwards majored in mathematics at Stanford University, graduating in 1968. He then joined the Peace Corps and spent four years teaching math in Colombia, South America. He returned to the United States and Dartmouth in 1972, and he received his PhD. in mathematics in 1976. Dr. Edwards' research interests include the area of numerical analysis, with a particular interest in the so-called CORDIC algorithms used by computers and graphing calculators to compute function values. His hobbies include jogging, reading, chess, simulation baseball games, and travel.
Table of Contents
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