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Digital file of Calculus and Its Applications Expanded Version Media Update (Subscription) for sale

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Category : Higher Education

Calculus and Its Applications Expanded Version Media Update (Subscription) by Marvin L. Bittinger, Indiana University Purdue University Indianapolis David J. Ellenbogen, Community College of Vermont Scott J. Surgent, Arizona State University ZIP OR PDF for sale 

Table of Contents

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 a^x and log_a 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

 

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