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by Raymond N. Greenwell, Nathan P. Ritchey and Margaret L. Lial

Cover type: HardbackEdition: 03

Copyright: 2003

Publisher: Addison-Wesley Longman, Inc.

Published: 2003

International: No

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Calculus With Applications for the Life Sciences was written for the one- or two-semester applied calculus course for life science students with a focus on incorporating interesting, relevant, and realistic applications. This text includes many citations from current data sources. It also offers many opportunities for use of technology, allowing for increased visualization and a better understanding of difficult concepts.

**Features:**

- Clarity through color. The text features a full color format for excellent readability and understanding.
- Variety of Applications--with real data from current sources, applied exercises are grouped by subject and highlighted for easy identification.
- Extended Applications--These applications appear at end of most chapters and can be used for extra credit, class projects, and group work.
- Excel Spreadsheets have been included in examples and exercises as appropriate allowing students to work problems that closely relate to real life situations.
- Optional Graphing Calculator Integration. Graphing calculator discussions and TI-83 screens are used in many examples. This book offers many opportunities for use of a graphing calculator, though technology use remains strictly optional.
- Writing Exercises. Includes exercises requiring writing and conceptualization to promote critical thinking, deeper understanding, and to integrate concepts and skills.
- Cautions/Notes warn students of common errors/misconceptions and/or offer additional useful information.
- Marginal Reviews provide immediate review, or refer students to appropriate review sections as needed.
- Section Opening Questions are thought-provoking questions which are revisited again within the section.
- Chapter R, Algebra Reference begins the text, allowing students to brush up on their algebra skills.
- Connection Exercises, denoted with an icon, integrate topics/concepts from different sections.

**Greenwell, Raymond N. : Hofstra University Ritchey, Nathan P. : Youngstown State University Lial, Margaret L. : American River College **

R. Algebra Reference.

Polynomials.

Factoring.

Rational Expressions.

Equations.

Inequalities.

Exponents.

Radicals.

1. Functions.

Lines and Linear Functions.

The Least Squares Line.

Properties of Functions.

Quadratic Functions; Translation and Reflection.

Polynomial and Rational Functions.

2. Exponential, Logarithmic, and Trigonometric Functions.

Exponential Functions.

Logarithmic Functions.

Applications: Growth and Decay.

Trigonometric Functions.

3. The Derivative.

Limits.

Continuity.

Rates of Change.

Definition of the Derivative.

Graphical Differentiation.

4. Calculating the Derivative.

Techniques for Finding Derivatives.

Derivatives of Products and Quotients.

The Chain Rule.

Derivatives of Exponential Functions.

Derivatives of Logarithmic Functions.

Derivatives of Trigonometric Functions.

5. Graphs and the Derivative.

Increasing and Decreasing Functions.

Relative Extrema.

Higher Derivatives, Concavity, and the Second Derivative Test.

Curve Sketching.

6. Applications of the Derivative.

Absolute Extrema.

Applications of Extrema.

Implicit Differentiation.

Related Rates.

Differentials: Linear Approximation.

7. Integration.

Antiderivatives.

Substitution.

Area and the Definite Integral.

The Fundamental Theorem of Calculus.

Integrals of Trigonometric Functions.

The Area Between Two Curves.

8. Further Techniques and Applications of Integration.

Numerical Integration.

Integration by Parts.

Volume and Average Value.

Improper Integrals.

9. Multivariable Calculus.

Functions of Several Variables.

Partial Derivatives.

Maxima and Minima.

Total Differentials and Approximations.

Double Integrals.

10. Linear Algebra.

Solution of Linear Systems.

Addition and Subtraction of Matrices.

Multiplication of Matrices.

Matrix Inverses.

Eigenvalues and Eigenvectors.

11. Differential Equations.

Solutions of Elementary and Separable Differential Equations.

Linear First-Order Differential Equations.

Euler's Method.

Linear Systems of Differential Equations.

Nonlinear Systems of Differential Equations.

Applications of Differential Equations.

12. Probability.

Sets.

Introduction to Probability.

Conditional Probability; Independent Events; Bayes' Theorem.

Discrete Random Variables; Applications to Decision Making.

13. Probability and Calculus.

Continuous Probability Models.

Expected Value and Variance of Continuous Random Variables.

Special Probability Density Functions.

Summary

Calculus With Applications for the Life Sciences was written for the one- or two-semester applied calculus course for life science students with a focus on incorporating interesting, relevant, and realistic applications. This text includes many citations from current data sources. It also offers many opportunities for use of technology, allowing for increased visualization and a better understanding of difficult concepts.

**Features:**

- Clarity through color. The text features a full color format for excellent readability and understanding.
- Variety of Applications--with real data from current sources, applied exercises are grouped by subject and highlighted for easy identification.
- Extended Applications--These applications appear at end of most chapters and can be used for extra credit, class projects, and group work.
- Excel Spreadsheets have been included in examples and exercises as appropriate allowing students to work problems that closely relate to real life situations.
- Optional Graphing Calculator Integration. Graphing calculator discussions and TI-83 screens are used in many examples. This book offers many opportunities for use of a graphing calculator, though technology use remains strictly optional.
- Writing Exercises. Includes exercises requiring writing and conceptualization to promote critical thinking, deeper understanding, and to integrate concepts and skills.
- Cautions/Notes warn students of common errors/misconceptions and/or offer additional useful information.
- Marginal Reviews provide immediate review, or refer students to appropriate review sections as needed.
- Section Opening Questions are thought-provoking questions which are revisited again within the section.
- Chapter R, Algebra Reference begins the text, allowing students to brush up on their algebra skills.
- Connection Exercises, denoted with an icon, integrate topics/concepts from different sections.

Author Bio

**Greenwell, Raymond N. : Hofstra University Ritchey, Nathan P. : Youngstown State University Lial, Margaret L. : American River College **

Table of Contents

R. Algebra Reference.

Polynomials.

Factoring.

Rational Expressions.

Equations.

Inequalities.

Exponents.

Radicals.

1. Functions.

Lines and Linear Functions.

The Least Squares Line.

Properties of Functions.

Quadratic Functions; Translation and Reflection.

Polynomial and Rational Functions.

2. Exponential, Logarithmic, and Trigonometric Functions.

Exponential Functions.

Logarithmic Functions.

Applications: Growth and Decay.

Trigonometric Functions.

3. The Derivative.

Limits.

Continuity.

Rates of Change.

Definition of the Derivative.

Graphical Differentiation.

4. Calculating the Derivative.

Techniques for Finding Derivatives.

Derivatives of Products and Quotients.

The Chain Rule.

Derivatives of Exponential Functions.

Derivatives of Logarithmic Functions.

Derivatives of Trigonometric Functions.

5. Graphs and the Derivative.

Increasing and Decreasing Functions.

Relative Extrema.

Higher Derivatives, Concavity, and the Second Derivative Test.

Curve Sketching.

6. Applications of the Derivative.

Absolute Extrema.

Applications of Extrema.

Implicit Differentiation.

Related Rates.

Differentials: Linear Approximation.

7. Integration.

Antiderivatives.

Substitution.

Area and the Definite Integral.

The Fundamental Theorem of Calculus.

Integrals of Trigonometric Functions.

The Area Between Two Curves.

8. Further Techniques and Applications of Integration.

Numerical Integration.

Integration by Parts.

Volume and Average Value.

Improper Integrals.

9. Multivariable Calculus.

Functions of Several Variables.

Partial Derivatives.

Maxima and Minima.

Total Differentials and Approximations.

Double Integrals.

10. Linear Algebra.

Solution of Linear Systems.

Addition and Subtraction of Matrices.

Multiplication of Matrices.

Matrix Inverses.

Eigenvalues and Eigenvectors.

11. Differential Equations.

Solutions of Elementary and Separable Differential Equations.

Linear First-Order Differential Equations.

Euler's Method.

Linear Systems of Differential Equations.

Nonlinear Systems of Differential Equations.

Applications of Differential Equations.

12. Probability.

Sets.

Introduction to Probability.

Conditional Probability; Independent Events; Bayes' Theorem.

Discrete Random Variables; Applications to Decision Making.

13. Probability and Calculus.

Continuous Probability Models.

Expected Value and Variance of Continuous Random Variables.

Special Probability Density Functions.

Publisher Info

Publisher: Addison-Wesley Longman, Inc.

Published: 2003

International: No

Published: 2003

International: No

Calculus With Applications for the Life Sciences was written for the one- or two-semester applied calculus course for life science students with a focus on incorporating interesting, relevant, and realistic applications. This text includes many citations from current data sources. It also offers many opportunities for use of technology, allowing for increased visualization and a better understanding of difficult concepts.

**Features:**

- Clarity through color. The text features a full color format for excellent readability and understanding.
- Variety of Applications--with real data from current sources, applied exercises are grouped by subject and highlighted for easy identification.
- Extended Applications--These applications appear at end of most chapters and can be used for extra credit, class projects, and group work.
- Excel Spreadsheets have been included in examples and exercises as appropriate allowing students to work problems that closely relate to real life situations.
- Optional Graphing Calculator Integration. Graphing calculator discussions and TI-83 screens are used in many examples. This book offers many opportunities for use of a graphing calculator, though technology use remains strictly optional.
- Writing Exercises. Includes exercises requiring writing and conceptualization to promote critical thinking, deeper understanding, and to integrate concepts and skills.
- Cautions/Notes warn students of common errors/misconceptions and/or offer additional useful information.
- Marginal Reviews provide immediate review, or refer students to appropriate review sections as needed.
- Section Opening Questions are thought-provoking questions which are revisited again within the section.
- Chapter R, Algebra Reference begins the text, allowing students to brush up on their algebra skills.
- Connection Exercises, denoted with an icon, integrate topics/concepts from different sections.

Ritchey, Nathan P. : Youngstown State University

Lial, Margaret L. : American River College

R. Algebra Reference.

Polynomials.

Factoring.

Rational Expressions.

Equations.

Inequalities.

Exponents.

Radicals.

1. Functions.

Lines and Linear Functions.

The Least Squares Line.

Properties of Functions.

Quadratic Functions; Translation and Reflection.

Polynomial and Rational Functions.

2. Exponential, Logarithmic, and Trigonometric Functions.

Exponential Functions.

Logarithmic Functions.

Applications: Growth and Decay.

Trigonometric Functions.

3. The Derivative.

Limits.

Continuity.

Rates of Change.

Definition of the Derivative.

Graphical Differentiation.

4. Calculating the Derivative.

Techniques for Finding Derivatives.

Derivatives of Products and Quotients.

The Chain Rule.

Derivatives of Exponential Functions.

Derivatives of Logarithmic Functions.

Derivatives of Trigonometric Functions.

5. Graphs and the Derivative.

Increasing and Decreasing Functions.

Relative Extrema.

Higher Derivatives, Concavity, and the Second Derivative Test.

Curve Sketching.

6. Applications of the Derivative.

Absolute Extrema.

Applications of Extrema.

Implicit Differentiation.

Related Rates.

Differentials: Linear Approximation.

7. Integration.

Antiderivatives.

Substitution.

Area and the Definite Integral.

The Fundamental Theorem of Calculus.

Integrals of Trigonometric Functions.

The Area Between Two Curves.

8. Further Techniques and Applications of Integration.

Numerical Integration.

Integration by Parts.

Volume and Average Value.

Improper Integrals.

9. Multivariable Calculus.

Functions of Several Variables.

Partial Derivatives.

Maxima and Minima.

Total Differentials and Approximations.

Double Integrals.

10. Linear Algebra.

Solution of Linear Systems.

Addition and Subtraction of Matrices.

Multiplication of Matrices.

Matrix Inverses.

Eigenvalues and Eigenvectors.

11. Differential Equations.

Solutions of Elementary and Separable Differential Equations.

Linear First-Order Differential Equations.

Euler's Method.

Linear Systems of Differential Equations.

Nonlinear Systems of Differential Equations.

Applications of Differential Equations.

12. Probability.

Sets.

Introduction to Probability.

Conditional Probability; Independent Events; Bayes' Theorem.

Discrete Random Variables; Applications to Decision Making.

13. Probability and Calculus.

Continuous Probability Models.

Expected Value and Variance of Continuous Random Variables.

Special Probability Density Functions.