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by Marvin L. Bittinger, Neil Brand and John Quintanilla

Cover type: HardbackEdition: 06

Copyright: 2006

Publisher: Allyn & Bacon, Inc.

Published: 2006

International: No

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Based on the best-selling Calculus and Its Applications by Marv Bittinger, this new text is appropriate for a two-semester calculus course for life science majors. With four new chapters and two new co-authors, Calculus for the Life Sciences continues the Bittinger reputation as one of the most student-oriented and clearly written Applied Calculus texts available. The exercises and examples have been substantially updated to include additional relevant life science applications and current topics.

**Chapter 1. Functions and Graphs **

1.1 Slope and Linear Functions

1.2 Polynomial Functions

1.3 Rational and Radical Functions

1.4 Trigonometric Functions

1.5 Trigonometric Functions and the Unit Circle

Summary and Review

Test

**EXTENDED LIFE SCIENCE CONNECTION: Carbon Dioxide Concentrations Chapter 2. Differentiation **

2.1 Limits and Continuity: Numerically and Graphically

2.2 Limits: Algebraically

2.3 Average Rates of Change

2.4 Differentiation Using Limits of Difference Quotients

2.5 Differentiation Techniques: Introduction

2.6 Instantaneous Rates of Change

2.7 Differentiation Techniques: The Product and Quotient Rules

2.8 The Chain Rule

2.9 Higher-Order Derivatives

Summary and Review

Test

**EXTENDED LIFE SCIENCE CONNECTION: Rate of Epidemic Spread: SARS Chapter 3. Applications of Differentiation **

3.1 Using the First Derivatives to Find Maximum and Minimum Values and Sketch Graphs

3.2 Using Second Derivatives to Find Maximum and Minimum Values and Sketch Graphs

3.3 Graph Sketching: Asymptotes and Rational Functions

3.4 Using Derivatives to Find Absolute Maximum and Minimum Values

3.5 Maximum-Minimum Problems

3.6 Approximation Techniques

3.7 Implicit Differentiation of Related Rates

Summary and Review

Test

**EXTENDED LIFE SCIENCE CONNECTION: Polymorphism Chapter 4. Exponential and Logarithmic Functions **

4.1 Exponential Functions

4.2 Logarithmic Functions

4.3 Applications: The Uninhibited Growth Model, dP/dt = kP

4.4 Applications: Decay

4.5 The Derivatives of ax and logax

SUMMARY AND REVIEW

TEST

**EXTENDED LIFE SCIENCE CONNECTION: Maximum Sustainable Harvest Chapter 5. Integration **

5.1 Integration

5.2 Riemann Sums and Definite Integrals

5.3 Fundamental Theorem of Calculus

5.4 Properties of Definite Integrals

5.5 Integration Techniques: Substitution

5.6 Integration Techniques: Integration by Parts

5.7 Integration Techniques: Tables and Technology

5.8 Volume

5.9 Improper Integrals

SUMMARY AND REVIEW

TEST

**EXTENDED LIFE SCIENCE CONNECTION: Estimating Dinosaur Mass Chapter 6. Matrices **

6.1 Matrix Operations

6.2 Solving Linear Systems of Equations

6.3 Finding a Matrix Inverse and Determinant

6.4 Computing Eigenvalues and Eigenvectors

6.5 Solving Difference Equations

SUMMARY AND REVIEW

TEST

**EXTENDED LIFE SCIENCE CONNECTION: Population Growth Chapter 7. Functions of Several Variables **

7.1 Functions of Several Variables

7.2 Partial Derivatives

7.3 Maximum-Minimum Problems

7.4 An Application: The Method of Least Squares

7.5 Multiple Integration

SUMMARY AND REVIEW

TEST

**EXTENDED LIFE SCIENCE CONNECTION: Stocking Fish Chapter 8. First-Order Differential Equations **

8.1 Differential Equations and Initial-Value Problems

8.2 Linear First-Order Differential Equations

8.3 Stability of Autonomous Differential Equations

8.4 Separable Differential Equations

8.5 Numerical Solutions of Differential Equations

SUMMARY AND REVIEW

TEST

**EXTENDED LIFE SCIENCE CONNECTION: Larvae and Forest Defoliation Chapter 9. Higher-Order and Systems of Differential Equations **

9.1 Higher-Order Homogeneous Differential Equations

9.2 Higher-Order Nonhomogeneous Differential Equations

9.3 Systems of Linear Differential Equations

9.4 Matrices and Trajectories

9.5 Models of Population Biology

9.6Numerical Methods

SUMMARY AND REVIEW

TEST

**EXTENDED LIFE SCIENCE CONNECTION: Epidemics Chapter 10. Probability **

10.1 Probability

10.2 Multiplication Trees and Bayes' Rule

10.3 The Binomial Distribution

10.4 Expected Value and Standard Deviation for Discrete Random Variables

10.5 Continuous Random Variables

10.6 Poisson Process

10.7 The Normal Distribution

Summary

Based on the best-selling Calculus and Its Applications by Marv Bittinger, this new text is appropriate for a two-semester calculus course for life science majors. With four new chapters and two new co-authors, Calculus for the Life Sciences continues the Bittinger reputation as one of the most student-oriented and clearly written Applied Calculus texts available. The exercises and examples have been substantially updated to include additional relevant life science applications and current topics.

Table of Contents

**Chapter 1. Functions and Graphs **

1.1 Slope and Linear Functions

1.2 Polynomial Functions

1.3 Rational and Radical Functions

1.4 Trigonometric Functions

1.5 Trigonometric Functions and the Unit Circle

Summary and Review

Test

**EXTENDED LIFE SCIENCE CONNECTION: Carbon Dioxide Concentrations Chapter 2. Differentiation **

2.1 Limits and Continuity: Numerically and Graphically

2.2 Limits: Algebraically

2.3 Average Rates of Change

2.4 Differentiation Using Limits of Difference Quotients

2.5 Differentiation Techniques: Introduction

2.6 Instantaneous Rates of Change

2.7 Differentiation Techniques: The Product and Quotient Rules

2.8 The Chain Rule

2.9 Higher-Order Derivatives

Summary and Review

Test

**EXTENDED LIFE SCIENCE CONNECTION: Rate of Epidemic Spread: SARS Chapter 3. Applications of Differentiation **

3.1 Using the First Derivatives to Find Maximum and Minimum Values and Sketch Graphs

3.2 Using Second Derivatives to Find Maximum and Minimum Values and Sketch Graphs

3.3 Graph Sketching: Asymptotes and Rational Functions

3.4 Using Derivatives to Find Absolute Maximum and Minimum Values

3.5 Maximum-Minimum Problems

3.6 Approximation Techniques

3.7 Implicit Differentiation of Related Rates

Summary and Review

Test

**EXTENDED LIFE SCIENCE CONNECTION: Polymorphism Chapter 4. Exponential and Logarithmic Functions **

4.1 Exponential Functions

4.2 Logarithmic Functions

4.3 Applications: The Uninhibited Growth Model, dP/dt = kP

4.4 Applications: Decay

4.5 The Derivatives of ax and logax

SUMMARY AND REVIEW

TEST

**EXTENDED LIFE SCIENCE CONNECTION: Maximum Sustainable Harvest Chapter 5. Integration **

5.1 Integration

5.2 Riemann Sums and Definite Integrals

5.3 Fundamental Theorem of Calculus

5.4 Properties of Definite Integrals

5.5 Integration Techniques: Substitution

5.6 Integration Techniques: Integration by Parts

5.7 Integration Techniques: Tables and Technology

5.8 Volume

5.9 Improper Integrals

SUMMARY AND REVIEW

TEST

**EXTENDED LIFE SCIENCE CONNECTION: Estimating Dinosaur Mass Chapter 6. Matrices **

6.1 Matrix Operations

6.2 Solving Linear Systems of Equations

6.3 Finding a Matrix Inverse and Determinant

6.4 Computing Eigenvalues and Eigenvectors

6.5 Solving Difference Equations

SUMMARY AND REVIEW

TEST

**EXTENDED LIFE SCIENCE CONNECTION: Population Growth Chapter 7. Functions of Several Variables **

7.1 Functions of Several Variables

7.2 Partial Derivatives

7.3 Maximum-Minimum Problems

7.4 An Application: The Method of Least Squares

7.5 Multiple Integration

SUMMARY AND REVIEW

TEST

**EXTENDED LIFE SCIENCE CONNECTION: Stocking Fish Chapter 8. First-Order Differential Equations **

8.1 Differential Equations and Initial-Value Problems

8.2 Linear First-Order Differential Equations

8.3 Stability of Autonomous Differential Equations

8.4 Separable Differential Equations

8.5 Numerical Solutions of Differential Equations

SUMMARY AND REVIEW

TEST

**EXTENDED LIFE SCIENCE CONNECTION: Larvae and Forest Defoliation Chapter 9. Higher-Order and Systems of Differential Equations **

9.1 Higher-Order Homogeneous Differential Equations

9.2 Higher-Order Nonhomogeneous Differential Equations

9.3 Systems of Linear Differential Equations

9.4 Matrices and Trajectories

9.5 Models of Population Biology

9.6Numerical Methods

SUMMARY AND REVIEW

TEST

**EXTENDED LIFE SCIENCE CONNECTION: Epidemics Chapter 10. Probability **

10.1 Probability

10.2 Multiplication Trees and Bayes' Rule

10.3 The Binomial Distribution

10.4 Expected Value and Standard Deviation for Discrete Random Variables

10.5 Continuous Random Variables

10.6 Poisson Process

10.7 The Normal Distribution

Publisher Info

Publisher: Allyn & Bacon, Inc.

Published: 2006

International: No

Published: 2006

International: No

**Chapter 1. Functions and Graphs **

1.1 Slope and Linear Functions

1.2 Polynomial Functions

1.3 Rational and Radical Functions

1.4 Trigonometric Functions

1.5 Trigonometric Functions and the Unit Circle

Summary and Review

Test

**EXTENDED LIFE SCIENCE CONNECTION: Carbon Dioxide Concentrations Chapter 2. Differentiation **

2.1 Limits and Continuity: Numerically and Graphically

2.2 Limits: Algebraically

2.3 Average Rates of Change

2.4 Differentiation Using Limits of Difference Quotients

2.5 Differentiation Techniques: Introduction

2.6 Instantaneous Rates of Change

2.7 Differentiation Techniques: The Product and Quotient Rules

2.8 The Chain Rule

2.9 Higher-Order Derivatives

Summary and Review

Test

**EXTENDED LIFE SCIENCE CONNECTION: Rate of Epidemic Spread: SARS Chapter 3. Applications of Differentiation **

3.1 Using the First Derivatives to Find Maximum and Minimum Values and Sketch Graphs

3.2 Using Second Derivatives to Find Maximum and Minimum Values and Sketch Graphs

3.3 Graph Sketching: Asymptotes and Rational Functions

3.4 Using Derivatives to Find Absolute Maximum and Minimum Values

3.5 Maximum-Minimum Problems

3.6 Approximation Techniques

3.7 Implicit Differentiation of Related Rates

Summary and Review

Test

**EXTENDED LIFE SCIENCE CONNECTION: Polymorphism Chapter 4. Exponential and Logarithmic Functions **

4.1 Exponential Functions

4.2 Logarithmic Functions

4.3 Applications: The Uninhibited Growth Model, dP/dt = kP

4.4 Applications: Decay

4.5 The Derivatives of ax and logax

SUMMARY AND REVIEW

TEST

**EXTENDED LIFE SCIENCE CONNECTION: Maximum Sustainable Harvest Chapter 5. Integration **

5.1 Integration

5.2 Riemann Sums and Definite Integrals

5.3 Fundamental Theorem of Calculus

5.4 Properties of Definite Integrals

5.5 Integration Techniques: Substitution

5.6 Integration Techniques: Integration by Parts

5.7 Integration Techniques: Tables and Technology

5.8 Volume

5.9 Improper Integrals

SUMMARY AND REVIEW

TEST

**EXTENDED LIFE SCIENCE CONNECTION: Estimating Dinosaur Mass Chapter 6. Matrices **

6.1 Matrix Operations

6.2 Solving Linear Systems of Equations

6.3 Finding a Matrix Inverse and Determinant

6.4 Computing Eigenvalues and Eigenvectors

6.5 Solving Difference Equations

SUMMARY AND REVIEW

TEST

**EXTENDED LIFE SCIENCE CONNECTION: Population Growth Chapter 7. Functions of Several Variables **

7.1 Functions of Several Variables

7.2 Partial Derivatives

7.3 Maximum-Minimum Problems

7.4 An Application: The Method of Least Squares

7.5 Multiple Integration

SUMMARY AND REVIEW

TEST

**EXTENDED LIFE SCIENCE CONNECTION: Stocking Fish Chapter 8. First-Order Differential Equations **

8.1 Differential Equations and Initial-Value Problems

8.2 Linear First-Order Differential Equations

8.3 Stability of Autonomous Differential Equations

8.4 Separable Differential Equations

8.5 Numerical Solutions of Differential Equations

SUMMARY AND REVIEW

TEST

**EXTENDED LIFE SCIENCE CONNECTION: Larvae and Forest Defoliation Chapter 9. Higher-Order and Systems of Differential Equations **

9.1 Higher-Order Homogeneous Differential Equations

9.2 Higher-Order Nonhomogeneous Differential Equations

9.3 Systems of Linear Differential Equations

9.4 Matrices and Trajectories

9.5 Models of Population Biology

9.6Numerical Methods

SUMMARY AND REVIEW

TEST

**EXTENDED LIFE SCIENCE CONNECTION: Epidemics Chapter 10. Probability **

10.1 Probability

10.2 Multiplication Trees and Bayes' Rule

10.3 The Binomial Distribution

10.4 Expected Value and Standard Deviation for Discrete Random Variables

10.5 Continuous Random Variables

10.6 Poisson Process

10.7 The Normal Distribution