Calculus for the life sciences /
Raymond N. Greenwell, Hofstra University, Nathan P. Ritchey, Edinboro University of PA, Margaret L. Lial, American River College.
- Second edition.
- xvii, 770 pages : colored illustrations ; 29 cm.
Includes bibliographical references.
note: 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. ch. R R.1. R.2. R.3. R.4. R.5. R.6. R.7. ch. 1 1.1. 1.2. 1.3. 1.4. 1.5. ch. 1 ch. 2 2.1. 2.2. 2.3. 2.4. ch. 2 ch. 3 3.1. 3.2. 3.3. 3.4. 3.5. ch. 3 ch. 4 4.1. 4.2. 4.3. 4.4. 4.5. 4.6. ch. 4 ch. 5 5.1. 5.2. 5.3. 5.4. ch. 5 ch. 6 6.1. 6.2. 6.3. 6.4. 6.5. ch. 6 ch. 7 7.1. 7.3. 7.4. 7.5. ch. 7 ch. 8 8.1. 8.2. 8.3. 8.4. ch. 8 ch. 9 9.1. 9.2. 9.3. 9.4. 9.5. ch. 9 ch. 10 10.1. 10.2. 10.3. 10.4. 10.5. ch. 10 ch. 11 11.1. 11.2. 11.3. 11.4. 11.5. 11.6. ch. 11 ch. 12 12.1. 12.2. 12.3. 12.4. ch. 12 ch. 13 13.1. 13.2. 13.3. ch. 13 ch. 14 14.1. 14.2. 14.3. ch. 14 A. B. C. D. 1. 2. 3. 4.
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Calculus--Textbooks. Life sciences--Mathematics--Textbooks.