Designed specifically for biology and life/social sciences majors, this applied calculus program motivates students while fostering understanding and mastery. The authors emphasize integrated and engaging applications that show students the real-world relevance of topics and concepts. Several pedagogical features—from algebra review to study tips—provide extra guidance and practice.Applied Calculus for the Life and Social Sciences features current, relevant examples drawn from government sources, industry, recent events, and other disciplines that appeal to diverse interests. In addition, the program offers a strong support package—including CL MATHSpace Instructor/Student websites and course management tools, instructional DVDs, and solutions manuals—that allows students to review the material independently and retain key concepts.
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 2013 Text and Academic Authors Association Award for CALCULUS, the 2012 William Holmes McGuffey Longevity Award for CALCULUS: AN APPLIED APPROACH, the 2011 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). Dr. Larson authors numerous textbooks including the best-selling Calculus series published by Cengage Learning.
0. A Precalculus Review 0.1 The Real Number 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 2.4 The Product and Quotient Rules 2.5 The Chain Rule 2.6 Higher-Order Derivatives 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 3.4 Optimization Problems 3.5 Asymptotes 3.6 Curve Sketching: A Summary 3.7 Differentials: Linear Approximation 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. Trigonometric Functions 5.1 Radian Measure of Angles 5.2 The Trigonometric Functions 5.3 Graphs of Trigonometric Functions 5.4 Derivatives of Trigonometric Functions 6. Integration and Its Applications 6.1 Antiderivatives and Indefinite Integrals 6.2 Integration by Substitution and The General Power Rule 6.3 Exponential and Logarithmic Integrals 6.4 Area and the Fundamental Theorem of Calculus 6.5 The Area of a Region Bounded by Two Graphs 6.6 Volumes of Solids of Revolution 7. Techniques of Integration 7.1 Integration by Parts 7.2 Partial Fractions and Logistic Growth 7.3 Integrals of Trigonometric Functions 7.4 The Definite Integral as the Limit of a Sum 7.5 Numerical Integration 7.6 Improper Integrals 8. Matrices 8.1 Systems of Linear Equations in Two Variables 8.2 Systems of Linear Equations in More Than Two Variables 8.3 Matrices and Systems of Linear Equations 8.4 Operations with Matrices 8.5 The Inverse of a Matrix 9. Functions of Several Variables 9.1 The Three-Dimensional Coordinate System 9.2 Surfaces in Space 9.3 Functions of Several Variables 9.4 Partial Derivatives 9.5 Extrema of Functions of Two Variables 9.6 Least Squares Regression Analysis 9.7 Double Integrals and Area in the Plane 9.8 Applications of Double Integrals 10. Differential Equations 10.1 Solutions of Differential Equations 10.2 Separation of Variables 10.3 First-Order Linear Differential Equations 10.4 Applications of Differential Equations 11. Probability and Calculus 11.1 Discrete Probability 11.2 Continuous Random Variables 11.3 Expected Value and Variance Appendix A. Differentiation and Integration Formulas Appendix B. Additional Topics in Differentiation B.1 Implicit Differentiation B.2 Related Rates Appendic C. Probability and Probability Distributions (web only) C.1 Probability C.2 Probability Computations C.3 Conditional Probability C.4 Tree Diagrams and Bayes' Theorem C.5 Probability Distributions C.6 Normal Distribution C.7 Binomial Distribution Appendix D. Properties and Measurement (web only) D.1 Review of Algebra D.2 Units of Measurements Appendix E. Graphing Utility Programs (web only) E.1 Graphing Utility Programs