Components of the Package:
Calculus and Its Applications, 2nd Edition
By Marvin L. Bittinger, David J. Ellenbogen, Scott A. Surgent, Gene Kramer
MyLab Math with Pearson eText Access Code for Calculus and Its Applications, 2nd Edition
By Marvin L. Bittinger, David J. Ellenbogen, Scott A. Surgent, Gene Kramer
Description
NOTE: Before purchasing, check with your instructor to ensure you select the correct ISBN. Several versions of the MyLab™ and Mastering™ platforms exist for each title, and registrations are not transferable. To register for and use MyLab or Mastering, you may also need a Course ID, which your instructor will provide.
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For two-semester courses in Applied Calculus.
This package includes MyLab Math.
Anticipating and meeting student needs
Calculus and Its Applications remains a best-selling text because of its intuitive approach that anticipates student needs, and a writing style that pairs clear explanations with carefully crafted figures to help students visualize concepts. Key enhancements in the 2nd Edition include the earlier introduction of logarithmic and exponential functions to help students master these important functions and their applications.
The text’s accompanying MyLab™ Math course also has been revised substantially, as new co-author Gene Kramer (University of Cincinnati, Blue Ash) revisited every homework question and learning aid to improve content clarity and accuracy. These and all other aspects of the new edition are designed to motivate and help students more readily understand and apply principles of calculus.
Note: The title of this text was formerly Calculus and Its Applications, Expanded Version.
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MyLab™ Math is the teaching and learning platform that empowers you to reach every student. By combining trusted author content with digital tools and a flexible platform, MyLab Math personalizes the learning experience and improves results for each student.
013530802X / 9780135308028 Calculus and Its Applications plus MyLab Math with Pearson eText - Title-Specific Access Card Package
Package consists of:
- 0135091683 / 9780135091685 Calculus and Its Applications
- 0135218233 / 9780135218235 MyLab Math with Pearson eText - Standalone Access Card - for Calculus and Its Applications
Table of Contents
Preface
Prerequisite Skills Diagnostic Test
R. Functions, Graphs, and Models
R.1Graphs and Equations
R.2Functions and Models
R.3Finding Domain and Range
R.4Slope and Linear Functions
R.5Nonlinear Functions and Models
R.6Exponential and Logarithmic Functions
R.7Mathematical Modeling and Curve Fitting
Chapter Summary
Chapter Review Exercises
Chapter Test
Extended Technology Application: Average Price of a Movie Ticket
1. Differentiation
1.1Limits: A Numerical and Graphical Approach
1.2Algebraic Limits and Continuity
1.3Average Rates of Change
1.4Differentiation Using Limits and Difference Quotients
1.5Leibniz Notation and the Power and Sum–Difference Rules
1.6The Product and Quotient Rules
1.7The Chain Rule
1.8Higher-Order Derivatives
Chapter Summary
Chapter Review Exercises
Chapter Test
Extended Technology Application: Path of a Baseball: The Tale of the Tape
2. Exponential and Logarithmic Functions
2.1Exponential and Logarithmic Functions of the Natural Base, e
2.2Derivatives of Exponential (Base-e) Functions
2.3Derivatives of Natural Logarithmic Functions
2.4Applications: Uninhibited and Limited Growth Models
2.5Applications: Exponential Decay
2.6The Derivatives of ax and loga x
Chapter Summary
Chapter Review Exercises
Chapter Test
Extended Technology Application: The Business of Motion Picture Revenue and DVD Release
3. Applications of Differentiation
3.1Using First Derivatives to Classify Maximum and Minimum Values and Sketch Graphs
3.2Using Second Derivatives to Classify Maximum and Minimum Values and Sketch Graphs
3.3Graph Sketching: Asymptotes and Rational Functions
3.4Optimization: Finding Absolute Maximum and Minimum Values
3.5Optimization: Business, Economics, and General Applications
3.6Marginals, Differentials, and Linearization
3.7Elasticity of Demand
3.8Implicit Differentiation and Logarithmic Differentiation
3.9Related Rates
Chapter Summary
Chapter Review Exercises
Chapter Test
Extended Technology Application: Maximum Sustainable Harvest
4. Integration
4.1Antidifferentiation
4.2Antiderivatives as Areas
4.3Area and Definite Integrals
4.4Properties of Definite Integrals: Additive Property, Average Value, and Moving Average
4.5Integration Techniques: Substitution
4.6Integration Techniques: Integration by Parts
4.7Numerical Integration
Chapter Summary
Chapter Review Exercises
Chapter Test
Extended Technology Application: Business and Economics: Distribution of Wealth
5. Applications of Integration
5.1Consumer and Producer Surplus; Price Floors, Price Ceilings, and Deadweight Loss
5.2Integrating Growth and Decay Models
5.3Improper Integrals
5.4Probability
5.5Probability: Expected Value; the Normal Distribution
5.6Volume
5.7Differential Equations
Chapter Summary
Chapter Review Exercises
Chapter Test
Extended Technology Application: Curve Fitting and Volumes of Containers
6. Functions of Several Variables
6.1Functions of Several Variables
6.2Partial Derivatives
6.3Maximum–Minimum Problems
6.4An Application: The Least-Squares Technique
6.5Constrained Optimization: Lagrange Multipliers and the Extreme-Value Theorem
6.6Double Integrals
Chapter Summary
Chapter Review Exercises
Chapter Test
Extended Technology Application: Minimizing Employees’ Travel Time in a Building
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
Chapter Summary
Chapter Review Exercises
Chapter Test
Extended Technology Application
8. Differential Equations
8.1 Direction Fields, Autonomic Forms, and Population Models
8.2 Applications: Inhibited Growth Models
8.3 First-Order Linear Differential Equations
8.4 Higher-Order Differential Equations and a Trigonometry Connection
Chapter Summary
Chapter Review Exercises
Chapter Test
Extended Technology Application
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
Chapter Summary
Chapter Review Exercises
Chapter Test
Extended Technology Application
10. Probability Distributions
10.1 A Review of Sets
10.2 Theoretical Probability
10.3 Discrete Probability Distributions
10.4 Continuous Probability Distributions: Mean, Variance, and Standard Deviation
Chapter Summary
Chapter Review Exercises
Chapter Test
Extended Technology Application
11. Systems and Matrices (online only)
11.1 Systems of Linear Equations
11.2 Gaussian 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
Chapter Summary
Chapter Review Exercises
Chapter Test
Extended Technology Application
12. Combinatorics and Probability (online only)
12.1 Compound Events and Odds
12.2 Combinatorics: The Multiplication Principle and Factorial Notation
12.3 Permutations and Distinguishable Arrangements
12.4 Combinations and the Binomial Theorem
12.5 Conditional Probability and the Hypergeometric Probability Distribution Model
12.6 Independent Events, Bernoulli Trials, and the Binomial Probability Model
12.7 Bayes Theorem
Chapter Summary
Chapter Review Exercises
Chapter Test
Extended Technology Application
Cumulative Review
Appendix A: Review of Basic Algebra
Appendix B: Indeterminate Forms and l’Hôpital’s Rule
Appendix C: Regression and Microsoft Excel
Appendix D: Areas for a Standard Normal Distribution
Appendix E: Using Tables of Integration Formulas
Answers
Index of Applications
Index