Student Solutions Manual for Calculus for Biology and Medicine
Häftad, Engelska, 2018
1 839 kr
Calculus for Biology and Medicine shows how calculus is used to analyze phenomena in nature. The text motivates life and health science majors to learn calculus through relevant and strategically placed applications to their chosen fields.
Produktinformation
- Utgivningsdatum2018-02-01
- Mått213 x 269 x 33 mm
- Vikt1 188 g
- FormatHäftad
- SpråkEngelska
- Antal sidor576
- Upplaga4
- FörlagPearson Education
- ISBN9780134122694
Tillhör följande kategorier
Claudia Neuhauser, PhD, is Associate Vice President for Research and Director of Research Computing in the Office of the Vice President for Research at University of Minnesota. In her role as Director of Research Computing she oversees the University of Minnesota Informatics Institute (UMII), the Minnesota Supercomputing Institute (MSI), and U-Spatial. UMII fosters and accelerates data-intensive research across all disciplines in the University and develops partnership with industry. Neuhauser’s research is at the interface of mathematics and biology, and focuses on the analysis of ecological and evolutionary models and the development of statistical methods in biomedical applications. She received her Diplom in mathematics from the Universität Heidelberg (Germany) in 1988, and a Ph.D. in mathematics from Cornell University in 1990. She is a fellow of the American Association for the Advancement of Science (AAAS) and a fellow of the American Mathematical Society (AMS). Marcus Roper, PhD, is a Professor of Mathematics at UCLA. He specializes in developing mathematical models inspired by physics and biology. His particular research interests include biological transport networks, such as fungal mycelia and the microvascular system. Although many of the projects he works on are experimentally inspired, his goal is to develop new image analysis methods and to gain a better understanding of the world around us.
- (NOTE: Each chapter concludes with Key Terms and Review Problems.) 1. Preview and Review 1.1 Precalculus Skills Diagnostic Test1.2 Preliminaries1.3 Elementary Functions1.4 Graphing2. Discrete-Time Models, Sequences, and Difference Equations 2.1 Exponential Growth and Decay2.2 Sequences2.3 Modeling with Recurrence Equations3. Limits and Continuity 3.1 Limits3.2 Continuity3.3 Limits at Infinity3.4 Trigonometric Limits and the Sandwich Theorem3.5 Properties of Continuous Functions3.6 A Formal Definition of Limits (Optional)4. Differentiation 4.1 Formal Definition of the Derivative4.2 Properties of the Derivative4.3 Power Rules and Basic Rules4.4 The Product and Quotient Rules, and the Derivatives of Rational and Power Functions4.5 Chain Rule4.6 Implicit Functions and Implicit Differentiation4.7 Higher Derivatives4.8 Derivatives of Trigonometric Functions4.9 Derivatives of Exponential Functions4.10 Inverse Functions and Logarithms4.11 Linear Approximation and Error Propagation5. Applications of Differentiation 5.1 Extrema and the Mean-Value Theorem5.2 Monotonicity and Concavity5.3 Extrema and Inflection Points5.4 Optimization5.5 L'Hôpital's Rule5.6 Graphing and Asymptotes5.7 Recurrence Equations: Stability (Optional)5.8 Numerical Methods: The Newton - Raphson Method (Optional)5.9 Modeling Biological Systems Using Differential Equations (Optional)5.10 Antiderivatives6. Integration 6.1 The Definite Integral6.2 The Fundamental Theorem of Calculus6.3 Applications of Integration7. Integration Techniques and Computational Methods 7.1 The Substitution Rule7.2 Integration by Parts and Practicing Integration7.3 Rational Functions and Partial Fractions7.4 Improper Integrals (Optional)7.5 Numerical Integration7.6 The Taylor Approximation (optional)7.7 Tables of Integrals (Optional)8. Differential Equations 8.1 Solving Separable Differential Equations8.2 Equilibria and Their Stability8.3 Differential Equation Models8.4 Integrating Factors and Two-Compartment Models9. Linear Algebra and Analytic Geometry 9.1 Linear Systems9.2 Matrices9.3 Linear Maps, Eigenvectors, and Eigenvalues9.4 Demographic Modeling9.5 Analytic Geometry10. Multivariable Calculus 10.1 Two or More Independent Variables10.2 Limits and Continuity (optional)10.3 Partial Derivatives10.4 Tangent Planes, Differentiability, and Linearization10.5 The Chain Rule and Implicit Differentiation (Optional)10.6 Directional Derivatives and Gradient Vectors (Optional)10.7 Maximization and Minimization of Functions (Optional)10.8 Diffusion (Optional)10.9 Systems of Difference Equations (Optional)11. Systems of Differential Equations 11.1 Linear Systems: Theory11.2 Linear Systems: Applications11.3 Nonlinear Autonomous Systems: Theory11.4 Nonlinear Systems: Lotka - Volterra Model of Interspecific Interactions11.5 More Mathematical Models (Optional)12. Probability and Statistics 12.1 Counting12.2 What Is Probability?12.3 Conditional Probability and Independence12.4 Discrete Random Variables and Discrete Distributions12.5 Continuous Distributions12.6 Limit Theorems12.7 Statistical ToolsAppendices A: Frequently Used SymbolsB: Table of the Standard Normal DistributionAnswers to Odd-Numbered Problems References Photo Credits Index