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Full Description
KEY BENEFITSApplications, Tenth Edition, by the same authors. The additional coverage includes trigonometric functions, differential equations, sequences and series, and probability distributions. Chapters on Systems and Matrices and Discrete Probability are available as a custom option or online in MyMathLab. Anticipating and meeting student needsCalculus and Its Applications remains a best-selling text due to its accessible presentation, which anticipates and addresses student needs. The writing style is ideal for today's students, providing intuitive explanations with carefully crafted artwork to help them visualize calculus concepts. Additionally, the text's numerous and up-to-date applications from business, economics, life sciences, and social sciences help to motivate students. Algebra diagnostic and review material is available for those who need to strengthen basic skills. Every aspect of this version is designed to motivate and help students to more readily understand and apply the mathematics.KEY TOPICS: Functions, Graphs, and Models; Differentiation; Applications of Differentiation; Exponential and Logarithmic Functions; Integration; Applications of Integration; Functions of Several Variables; Trigonometric Functions; Differential Equations; Sequences and Series; Probability Distributions; Systems and Matrices; Discrete ProbabilityMARKET: For all readers interested in calculus and its applications.
Contents
R. Functions, Graphs, and ModelsR.1 Graphs and EquationsR.2 Functions and ModelsR.3 Finding Domain and RangeR.4 Slope and Linear FunctionsR.5 Nonlinear Functions and ModelsR.6 Mathematical Modeling and Curve Fitting1. Differentiation1.1 Limits: A Numerical and Graphical Approach1.2 Algebraic Limits and Continuity1.3 Average Rates of Change1.4 Differentiation Using Limits of Difference Quotients1.5 Differentiation Techniques: The Power and Sum-Difference Rules1.6 Differentiation Techniques: The Product and Quotient Rules1.7 The Chain Rule1.8 Higher-Order Derivatives2. Applications of Differentiation2.1 Using First Derivatives to Find Maximum and Minimum Values and Sketch Graphs2.2 Using Second Derivatives to Find Maximum and Minimum Values and Sketch Graphs2.3 Graph Sketching: Asymptotes and Rational Functions2.4 Using Derivatives to Find Absolute Maximum and Minimum Values2.5 Maximum-Minimum Problems; Business and Economic Applications2.6 Marginals and Differentials2.7 Implicit Differentiation and Related Rates3. Exponential and Logarithmic Functions3.1 Exponential Functions3.2 Logarithmic Functions3.3 Applications: Uninhibited and Limited Growth Models3.4 Applications: Decay3.5 The Derivatives of ax and loga x3.6 An Economics Application: Elasticity of Demand4. Integration4.1 Antidifferentiation4.2 Antiderivatives as Areas4.3 Area and Definite Integrals4.4 Properties of Definite Integrals4.5 Integration Techniques: Substitution4.6 Integration Techniques: Integration by Parts4.7 Integration Techniques: Tables5. Applications of Integration5.1 An Economics Application: Consumer Surplus and Producer Surplus5.2 Applications of Integrating Growth and Decay Models5.3 Improper Integrals5.4 Numerical Integration5.5 Volume6. Functions of Several Variables6.1 Functions of Several Variables6.2 Partial Derivatives6.3 Maximum-Minimum Problems6.4: An Application: The Least-Squares Technique6.5 Constrained Optimization6.6 Double Integrals7. Trigonometric Functions7.1 Basics of Trigonometry7.2 Derivatives of Trigonometric Functions7.3 Integration of Trigonometric Functions7.4 Inverse Trigonometric Functions and Applications8. Differential Equations8.1 Differential Equations8.2 Separable Differential Equations8.3 Applications: Inhibited Growth Models8.4 First-Order Linear Differential Equations8.5 Higher-Order Differential Equations and a Trigonometry Connection9. Sequences and Series9.1 Arithmetic Sequences and Series9.2 Geometric Sequences and Series9.3 Simple and Compound Interest9.4 Annuities and Amortization9.5 Power Series and Linearization9.6 Taylor Series and a Trigonometry Connection10. Probability Distributions10.1 A Review of Sets10.2 Probability10.3 Discrete Probability Distributions10.4 Continuous Probability Distributions10.5 Mean, Variance, Standard Deviation, and the Normal Distribution11. Systems and Matrices (online)11.1 Systems of Linear Equations11.2 Gauss-Jordan Elimination11.3 Matrices and Row Operations11.4 Matrix Arithmetic: Equality, Addition and Scalar Multiples11.5 Matrix Multiplication, Multiplicative Identities and Inverses11.6 Determinants and Cramer's Rule11.7 Systems of Linear Inequalities and Linear Programming12. Discrete Probability (online)12.1 Compound Events and Odds12.2 Combinatorics: The Multiplication Principal and the Factorial 12.3 Permutations and Combinations 12.4 Conditional Probability and the Hypergeometric Distribution Model 12.5 Independence, Bernoulli Trials and the Binomial Probability Model 12.6 Bayes' Rule
