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Calculus for the life sciences / Raymond N. Greenwell, Hofstra University, Nathan P. Ritchey, Edinboro University of PA, Margaret L. Lial, American River College.

By: Greenwell, Raymond N [author.]Contributor(s): Ritchey, Nathan P [author.] | Lial, Margaret L [author.]Material type: TextTextPublisher: Boston : Pearson Addison Wesley, [2015]Edition: Second editionDescription: xvii, 770 pages : colored illustrations ; 29 cmContent type: text Media type: unmediated Carrier type: volumeISBN: 0536749787; 9780536749789Subject(s): Calculus -- Textbooks | Life sciences -- Mathematics -- TextbooksGenre/Form: Textbooks.LOC classification: QA303.2 | .G74 2003
Contents:
Algebra Reference -- Polynomials -- Factoring -- Rational Expressions -- Equations -- Inequalities -- Exponents -- Radicals -- Functions -- Lines and Linear Functions -- Least Squares Line -- Properties of Functions -- Quadratic Functions; Translation and Reflection -- Polynomial and Rational Functions -- Review -- Extended Application Using Extrapolation to Predict Life Expectancy -- Exponential, Logarithmic, and Trigonometric Functions -- Exponential Functions -- Logarithmic Functions -- Applications: Growth and Decay -- Trigonometric Functions -- Review -- Extended Application Power Functions -- Derivative -- Limits -- Continuity -- Rates of Change -- Definition of the Derivative -- Graphical Differentiation -- Review -- Extended Application A Model for Drugs Administered Intravenously -- Calculating the Derivative -- Techniques for Finding Derivatives -- Derivatives of Products and Quotients -- Chain Rule -- Derivatives of Exponential Functions -- Derivatives of Logarithmic Functions -- Derivatives of Trigonometric Functions -- Review -- Extended Application Managing Renewable Resources -- Graphs and the Derivative -- Increasing and Decreasing Functions -- Relative Extrema -- Higher Derivatives, Concavity, and the Second Derivative Test -- Curve Sketching -- Review -- Extended Application A Drug Concentration Model for Orally Administered Medications -- Applications of the Derivative -- Absolute Extrema -- Applications of Extrema -- Implicit Differentiation -- Related Rates -- Differentials: Linear Approximation -- Review -- Extended Application A Total Cost Model for a Training Program -- Integration -- Antiderivatives -- Substitution -- Area and the Definite Integral -- Fundamental Theorem of Calculus -- Area Between Two Curves -- Review -- Extended Application Estimating Depletion Dates for Minerals -- Further Techniques and Applications of Integration -- Numerical Integration -- Integration by Parts -- Volume and Average Value -- Improper Integrals -- Review -- Extended Application Flow Systems -- Multivariable Calculus -- Functions of Several Variables -- Partial Derivatives -- Maxima and Minima -- Total Differentials and Approximations -- Double Integrals -- Review -- Extended Application Optimization for a Predator -- Matrices -- Solution of Linear Systems -- Addition and Subtraction of Matrices -- Multiplication of Matrices -- Matrix Inverses -- Eigenvalues and Eigenvectors -- Review -- Extended Application Contagion -- 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 -- Review -- Extended Application Pollution of the Great Lakes -- Probability -- Sets -- Introduction to Probability -- Conditional Probability; Independent Events; Bayes' Theorem -- Discrete Random Variables; Applications to Decision Making -- Review -- Extended Application Medical Diagnosis -- Probability and Calculus -- Continuous Probability Models -- Expected Value and Variance of Continuous Random Variables -- Special Probability Density Functions -- Review -- Extended Application Exponential Waiting Times -- Discrete Dynamical Systems -- Sequences -- Equilibrium Points -- Determining Stability -- Review -- Extended Application Mathematical Modeling in a Dynamic World -- Appendix -- Solutions to Prerequisite Skills Diagnostic Test -- Learning Objectives -- MathPrint Operating System for TI-84 and TI-84 Plus Silver Editions -- Tables -- Formulas of Geometry -- Area Under a Normal Curve -- Integrals -- Integrals Involving Trigonometric Functions.
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Open Shelf QA303.2 .G74 2003 (Browse shelf) Available IO 28002809

Includes bibliographical references.

note: ch. R Algebra Reference -- R.1. Polynomials -- R.2. Factoring -- R.3. Rational Expressions -- R.4. Equations -- R.5. Inequalities -- R.6. Exponents -- R.7. Radicals -- ch. 1 Functions -- 1.1. Lines and Linear Functions -- 1.2. Least Squares Line -- 1.3. Properties of Functions -- 1.4. Quadratic Functions; Translation and Reflection -- 1.5. Polynomial and Rational Functions -- ch. 1 Review -- Extended Application Using Extrapolation to Predict Life Expectancy -- ch. 2 Exponential, Logarithmic, and Trigonometric Functions -- 2.1. Exponential Functions -- 2.2. Logarithmic Functions -- 2.3. Applications: Growth and Decay -- 2.4. Trigonometric Functions -- ch. 2 Review -- Extended Application Power Functions -- ch. 3 Derivative -- 3.1. Limits -- 3.2. Continuity -- 3.3. Rates of Change -- 3.4. Definition of the Derivative -- 3.5. Graphical Differentiation -- ch. 3 Review -- Extended Application A Model for Drugs Administered Intravenously -- ch. 4 Calculating the Derivative -- 4.1. Techniques for Finding Derivatives -- 4.2. Derivatives of Products and Quotients -- 4.3. Chain Rule -- 4.4. Derivatives of Exponential Functions -- 4.5. Derivatives of Logarithmic Functions -- 4.6. Derivatives of Trigonometric Functions -- ch. 4 Review -- Extended Application Managing Renewable Resources -- ch. 5 Graphs and the Derivative -- 5.1. Increasing and Decreasing Functions -- 5.2. Relative Extrema -- 5.3. Higher Derivatives, Concavity, and the Second Derivative Test -- 5.4. Curve Sketching -- ch. 5 Review -- Extended Application A Drug Concentration Model for Orally Administered Medications -- ch. 6 Applications of the Derivative -- 6.1. Absolute Extrema -- 6.2. Applications of Extrema -- 6.3. Implicit Differentiation -- 6.4. Related Rates -- 6.5. Differentials: Linear Approximation -- ch. 6 Review -- Extended Application A Total Cost Model for a Training Program -- ch. 7 Integration -- 7.1. Antiderivatives -- Substitution -- 7.3. Area and the Definite Integral -- 7.4. Fundamental Theorem of Calculus -- 7.5. Area Between Two Curves -- ch. 7 Review -- Extended Application Estimating Depletion Dates for Minerals -- ch. 8 Further Techniques and Applications of Integration -- 8.1. Numerical Integration -- 8.2. Integration by Parts -- 8.3. Volume and Average Value -- 8.4. Improper Integrals -- ch. 8 Review -- Extended Application Flow Systems -- ch. 9 Multivariable Calculus -- 9.1. Functions of Several Variables -- 9.2. Partial Derivatives -- 9.3. Maxima and Minima -- 9.4. Total Differentials and Approximations -- 9.5. Double Integrals -- ch. 9 Review -- Extended Application Optimization for a Predator -- ch. 10 Matrices -- 10.1. Solution of Linear Systems -- 10.2. Addition and Subtraction of Matrices -- 10.3. Multiplication of Matrices -- 10.4. Matrix Inverses -- 10.5. Eigenvalues and Eigenvectors -- ch. 10 Review -- Extended Application Contagion -- ch. 11 Differential Equations -- 11.1. Solutions of Elementary and Separable Differential Equations -- 11.2. Linear First-Order Differential Equations -- 11.3. Euler's Method -- 11.4. Linear Systems of Differential Equations -- 11.5. Nonlinear Systems of Differential Equations -- 11.6. Applications of Differential Equations -- ch. 11 Review -- Extended Application Pollution of the Great Lakes -- ch. 12 Probability -- 12.1. Sets -- 12.2. Introduction to Probability -- 12.3. Conditional Probability; Independent Events; Bayes' Theorem -- 12.4. Discrete Random Variables; Applications to Decision Making -- ch. 12 Review -- Extended Application Medical Diagnosis -- ch. 13 Probability and Calculus -- 13.1. Continuous Probability Models -- 13.2. Expected Value and Variance of Continuous Random Variables -- 13.3. Special Probability Density Functions -- ch. 13 Review -- Extended Application Exponential Waiting Times -- ch. 14 Discrete Dynamical Systems -- 14.1. Sequences -- 14.2. Equilibrium Points -- 14.3. Determining Stability -- ch. 14 Review -- Extended Application Mathematical Modeling in a Dynamic World -- Appendix -- A. Solutions to Prerequisite Skills Diagnostic Test -- B. Learning Objectives -- C. MathPrint Operating System for TI-84 and TI-84 Plus Silver Editions -- D. Tables -- 1. Formulas of Geometry -- 2. Area Under a Normal Curve -- 3. Integrals -- 4. Integrals Involving Trigonometric Functions.

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