Calculus for the Life Sciences
Inbunden, Engelska, 2014
3 999 kr
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0321964039 / 9780321964038 Calculus for the Life Sciences
Produktinformation
- Utgivningsdatum2014-11-28
- Mått10 x 10 x 10 mm
- Vikt1 820 g
- SpråkEngelska
- Antal sidor896
- Upplaga2
- FörlagPearson Education
- EAN9780321964038
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About our authors Raymond N. Greenwell earned a B.A. in Mathematics and Physics from the University of San Diego and an M.S. in Statistics, an M.S. in Applied Mathematics, and a Ph.D. in Applied Mathematics from Michigan State University, where he earned the graduate student teaching award in 1979. After teaching at Albion College in Michigan for 4 years, he moved to Hofstra University in 1983, where he currently is Professor of Mathematics.Raymond has published articles on fluid mechanics, mathematical biology, genetic algorithms, combinatorics, statistics, and undergraduate mathematics education. He is a member of MAA, AMS, SIAM, NCTM, and AMATYC. He has served as governor of the Metropolitan New York Section of the MAA, as well as webmaster and liaison coordinator, and he received a distinguished service award from the Section in 2003. He is an outdoor enthusiast and leads trips in the Sierra Club’s Inner City Outings program.Nathan P. Ritchey earned a B.A. in Mathematics with a minor in Music from Mansfield University of Pennsylvania. He earned a M.S. in Applied Mathematics and a Ph.D. in Mathematics from Carnegie Mellon University. He is currently the Dean of the College of Science and Health Professions at Edinboro University. He has published articles in economics, honors education, medicine, mathematics, operations research, and student recruitment. Nate is a Consultant/Evaluator for the North Central Association's Higher Learning Commission and regularly participates in program evaluations.In recognition of his numerous activities, Nate has received the Distinguished Professor Award for University Service, the Youngstown Vindicator's "People Who Make a Difference Award," the Watson Merit Award for Department Chairs, the Spirit in Education Award from the SunTex corporation, and the Provost's Merit Award for significant contributions to the Honors Program. A father of four children, Nate enthusiastically coaches soccer and softball. He also loves music, playing several instruments, and is a tenor in the Shenango Valley Chorale. More information about Nate Ritchey can be found at: http://www.as.ysu.edu/~nate/.The late Marge Lial was always interested in math; it was her favorite subject in the first grade! Marge's intense desire to educate both her students and herself has inspired the writing of numerous best-selling textbooks. Marge, who received bachelor's and master's degrees from California State University at Sacramento, was affiliated with American River College. An avid reader and traveler, her travel experiences often find their way into her books as applications, exercise sets, and feature sets. Her interest in archeology lead to trips to various digs and ruin sites, producing some fascinating problems for her textbooks involving such topics as the building of Mayan pyramids and the acoustics of ancient ball courts in the Yucatan.
- R. Algebra Reference R.1 PolynomialsR.2 FactoringR.3 Rational ExpressionsR.4 EquationsR.5 InequalitiesR.6 ExponentsR.7 Radicals 1. Functions 1.1 Lines and Linear Functions1.2 The Least Squares Line1.3 Properties of Functions1.4 Quadratic Functions; Translation and Reflection1.5 Polynomial and Rational FunctionsChapter ReviewExtended Application: Using Extrapolation to Predict Life Expectancy 2. Exponential, Logarithmic, and Trigonometric Functions 2.1 Exponential Functions2.2 Logarithmic Functions2.3 Applications: Growth and Decay2.4 Trigonometric FunctionsChapter ReviewExtended Application: Power Functions 3. The Derivative 3.1 Limits3.2 Continuity3.3 Rates of Change3.4 Definition of the Derivative3.5 Graphical DifferentiationChapter ReviewExtended Application: A Model For Drugs Administered Intravenously 4. Calculating the Derivative 4.1 Techniques for Finding Derivatives4.2 Derivatives of Products and Quotients4.3 The Chain Rule4.4 Derivatives of Exponential Functions4.5 Derivatives of Logarithmic Functions4.6 Derivatives of Trigonometric FunctionsChapter ReviewExtended Application: Managing Renewable Resources 5. Graphs and the Derivative 5.1 Increasing and Decreasing Functions5.2 Relative Extrema5.3 Higher Derivatives, Concavity, and the Second Derivative Test5.4 Curve SketchingChapter ReviewExtended Application: A Drug Concentration Model for Orally Administered Medications 6. Applications of the Derivative 6.1 Absolute Extrema6.2 Applications of Extrema6.3 Implicit Differentiation6.4 Related Rates6.5 Differentials: Linear ApproximationChapter ReviewExtended Application: A Total Cost Model for a Training Program 7. Integration 7.1 Antiderivatives7.2 Substitution7.3 Area and the Definite Integral7.4 The Fundamental Theorem of Calculus7.5 The Area Between Two CurvesChapter ReviewExtended Application: Estimating Depletion Dates for Minerals 8. Further Techniques and Applications of Integration 8.1 Numerical Integration8.2 Integration by Parts8.3 Volume and Average Value8.4 Improper IntegralsChapter ReviewExtended Application: Flow Systems 9. Multivariable Calculus 9.1 Functions of Several Variables9.2 Partial Derivatives9.3 Maxima and Minima9.4 Total Differentials and Approximations9.5 Double IntegralsChapter ReviewExtended Application: Optimization for a Predator 10. Matrices 10.1 Solution of Linear Systems10.2 Addition and Subtraction of Matrices10.3 Multiplication of Matrices10.4 Matrix Inverses10.5 Eigenvalues and EigenvectorsxChapter ReviewExtended Application: Contagion 11. Differential Equations 11.1 Solutions of Elementary and Separable Differential Equations11.2 Linear First-Order Differential Equations11.3 Euler’s Method11.4 Linear Systems of Differential Equations11.5 Non-Linear Systems of Differential Equations11.6 Applications of Differential EquationsChapter ReviewExtended Application: Pollution of the Great Lakes 12. Probability 12.1 Sets12.2 Introduction to Probability12.3 Conditional Probability; Independent Events; Bayes’ Theorem12.4 Discrete Random Variables; Applications to Decision MakingChapter ReviewExtended Application: Medical Diagnosis 13. Probability and Calculus 13.1 Continuous Probability Models13.2 Expected Value and Variance of Continuous Random Variables.13.3 Special Probability Density FunctionsChapter ReviewExtended Application: Exponential Waiting Times 14. Discrete Dynamical Systems 14.1 Sequences14.2 Equilibrium Points14.3 Determining StabilityChapter ReviewExtended Application: Mathematical Modeling in a Dynamic World Special Topics (available online): Sequences and Series Geometric SequencesAnnuities: An Application of SequencesTaylor PolynomialsInfinite SeriesTaylor SeriesNewton’s MethodL’Hôpital’s RuleMarkov Chains