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R. Functions, Graphs, and Models R.1 Graphs and Equations R.2 Functions and Models R.3 Finding Domain and Range R.4 Slope and Linear Functions R.5 Nonlinear Functions and Models R.6 Mathematical Modeling and Curve Fitting 1. Differentiation 1.1 Limits: A Numerical and Graphical Approach 1.2 Algebraic Limits and Continuity 1.3 Average Rates of Change 1.4 Differentiation Using Limits of Difference Quotients 1.5 Differentiation Techniques: The Power and Sum-Difference Rules 1.6 Differentiation Techniques: The Product and Quotient Rules 1.7 The Chain Rule 1.8 Higher-Order Derivatives 2. Applications of Differentiation 2.1 Using First Derivatives to Find Maximum and Minimum Values and Sketch Graphs 2.2 Using Second Derivatives to Find Maximum and Minimum Values and Sketch Graphs 2.3 Graph Sketching: Asymptotes and Rational Functions 2.4 Using Derivatives to Find Absolute Maximum and Minimum Values 2.5 Maximum-Minimum Problems; Business and Economic Applications 2.6 Marginals and Differentials 2.7 Implicit Differentiation and Related Rates 3. Exponential and Logarithmic Functions 3.1 Exponential Functions 3.2 Logarithmic Functions 3.3 Applications: Uninhibited and Limited Growth Models 3.4 Applications: Decay 3.5 The Derivatives of ax and loga x 3.6 An Economics Application: Elasticity of Demand 4. Integration 4.1 Antidifferentiation 4.2 Antiderivatives as Areas 4.3 Area and Definite Integrals 4.4 Properties of Definite Integrals 4.5 Integration Techniques: Substitution 4.6 Integration Techniques: Integration by Parts 4.7 Integration Techniques: Tables 5. Applications of Integration 5.1 An Economics Application: Consumer Surplus and Producer Surplus 5.2 Applications of Integrating Growth and Decay Models 5.3 Improper Integrals 5.4 Numerical Integration 5.5 Volume 6. Functions of Several Variables 6.1 Functions of Several Variables 6.2 Partial Derivatives 6.3 Maximum-Minimum Problems 6.4: An Application: The Least-Squares Technique 6.5 Constrained Optimization 6.6 Double Integrals 7. Trigonometric Functions 7.1 Basics of Trigonometry 7.2 Derivatives of Trigonometric Functions 7.3 Integration of Trigonometric Functions 7.4 Inverse Trigonometric Functions and Applications 8. Differential Equations 8.1 Differential Equations 8.2 Separable Differential Equations 8.3 Applications: Inhibited Growth Models 8.4 First-Order Linear Differential Equations 8.5 Higher-Order Differential Equations and a Trigonometry Connection 9. Sequences and Series 9.1 Arithmetic Sequences and Series 9.2 Geometric Sequences and Series 9.3 Simple and Compound Interest 9.4 Annuities and Amortization 9.5 Power Series and Linearization 9.6 Taylor Series and a Trigonometry Connection 10. Probability Distributions 10.1 A Review of Sets 10.2 Probability 10.3 Discrete Probability Distributions 10.4 Continuous Probability Distributions 10.5 Mean, Variance, Standard Deviation, and the Normal Distribution 11. Systems and Matrices (online) 11.1 Systems of Linear Equations 11.2 Gauss-Jordan Elimination 11.3 Matrices and Row Operations 11.4 Matrix Arithmetic: Equality, Addition and Scalar Multiples 11.5 Matrix Multiplication, Multiplicative Identities and Inverses 11.6 Determinants and Cramer’s Rule 11.7 Systems of Linear Inequalities and Linear Programming 12. Discrete Probability (online) 12.1 Compound Events and Odds 12.2 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 Table of Contents
Manual solution Calculus and Its Applications Expanded Version Media Update (Subscription) for sale , Calculus and Its Applications Expanded Version Media Update (Subscription) for sale , Calculus and Its Applications Expanded Version Media Update (Subscription) pdf for sale , Marvin L. Bittinger, Indiana University Purdue University Indianapolis David J. Ellenbogen, Community College of Vermont Scott J. Surgent, Arizona State University
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