Calculus And Its Applications Expanded Version Media Update Plus Mymathlab -- Access Card Package by Marvin L. Bittinger

Calculus And Its Applications Expanded Version Media Update Plus Mymathlab -- Access Card Package

byMarvin L. Bittinger, David J. Ellenbogen, Scott J. Surgent

Book & Toy | February 12, 2015

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This is an expanded version of Calculus and its Applications, 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 needs

Calculus 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.


NOTE: Before purchasing, check with your instructor to ensure you select the correct ISBN. Several versions of Pearson's MyLab & Mastering products exist for each title, and registrations are not transferable. To register for and use Pearson's MyLab & Mastering products, you may also need a Course ID, which your instructor will provide.


Used books, rentals, and purchases made outside of Pearson

If purchasing or renting from companies other than Pearson, the access codes for Pearson's MyLab & Mastering products may not be included, may be incorrect, or may be previously redeemed. Check with the seller before completing your purchase.


0134123492 / 9780134123493 Calculus and Its Applications Expanded Version Media Update Plus MyMathLab -- Access Card Package


Package consists of

0134122585 / 9780134122588 Calculus and Its Applications Expanded Version Media Update

0321431308 / 9780321431301 MyMathLab -- Glue-in Access Card

0321654064 / 9780321654069 MyMathLab Inside Star Sticker


About The Author

Marvin Bittinger has been teaching math at the university level for more than thirty-eight years. Since 1968, he has been employed at Indiana University Purdue University Indianapolis, and is now professor emeritus of mathematics education. Professor Bittinger has authored over 190 publications on topics ranging from basic mathematics...

Details & Specs

Title:Calculus And Its Applications Expanded Version Media Update Plus Mymathlab -- Access Card PackageFormat:Book & ToyDimensions:984 pages, 10.9 × 8.3 × 1.4 inPublished:February 12, 2015Publisher:Pearson EducationLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0134123492

ISBN - 13:9780134123493

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Extra Content

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 ax 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