TY  - BOOK
AU  - Greenwell,Raymond N.
AU  - Ritchey,Nathan P.
AU  - Lial,Margaret L.
TI  - Calculus for the life sciences
SN  - 0536749787
AV  - QA303.2 .G74 2003
PY  - 2015///]
CY  - Boston
PB  - Pearson Addison Wesley
KW  - Calculus
KW  - Textbooks
KW  - Life sciences
KW  - Mathematics
KW  - fast
N1  - 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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