Calculus for Biology and Medicine

ISBN-10: 0130455164

ISBN-13: 9780130455161

Edition: 2nd 2004 (Revised)

List price: $153.33
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Description:

This volume teaches calculus in thebiologycontextwithoutcompromising the level of regular calculus. The material is organized in the standard way and explains how the different concepts are logically related. Each new concept is typically introduced with a biological example; the concept is then developedwithoutthe biological context and then the concept is tied into additional biological examples. This allows readers to first seewhya certain concept is important, then lets them focus on how to use the conceptswithoutgetting distracted by applications, and then, once readers feel more comfortable with the concepts, it revisits the biological applications to make sure that they canapplythe concepts. The book features exceptionally detailed, step-by-step, worked-out examples and a variety of problems, including an unusually large number of word problems.The volume begins with a preview and review and moves into discrete time models, sequences, and difference equations, limits and continuity, differentiation, applications of differentiation, integration techniques and computational methods, differential equations, linear algebra and analytic geometry, multivariable calculus, systems of differential equations and probability and statistics.For faculty and postdocs in biology departments.
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Book details

List price: $153.33
Edition: 2nd
Copyright year: 2004
Publisher: Prentice Hall PTR
Publication date: 5/30/2003
Binding: Hardcover
Pages: 822
Size: 8.25" wide x 10.00" long x 1.25" tall
Weight: 4.334
Language: English

Preview and Review
Preliminaries
Elementary Functions
Graphing
Review Problems
Limits and Continuity
Limits
Continuity
The Sandwich Theorem and Some Trigonometric Limits
Limits at Infinity
Continuity
Differentiation
Formal Definition of the Derivative
The Power Rule, the Basic Rules of Differentiation, and the Derivatives of Polynomials
The Product and Quotient Rules, and the Derivatives of Rational and Power Functions
The Chain Rule and Higher Derivatives
Derivatives of Trigonometric Functions
Derivatives of Exponential Functions
Derivatives of Inverse and Logarithmic Functions
Approximation and Local Linearity
Applications of Differentiation
Local Extrema and the Mean Value Theorem
Monotonicity and Concavity
Extrema, Inflection Points and Graphing
Optimization
L'Hospital's Rule
Numerical Methods
Antiderivatives
Review Problems
Integration
The Definite Integral
The Fundamental Theorem of Calculus
Applications of Integration
Integration Techniques and Computational Methods
The Substitution Rule
Integration by Parts
Improper Integrals
Numerical Integration
Tables of Integration
The Taylor Approximation
Differential Equations
Solving Differential Equations
Equilibria and Their Stability
Systems of Autonomous Equations
Applications of Integration
Rectification of Curves
Densities and Histograms
Average Values
The Normal Distribution
Age-Structured Populations
Linear Algebra and Analytic Geometry
Linear Systems
Matrices
Linear Maps, Eigenvectors and Eignvalues
Analytic Geometry
Multivariable Calculus
Functions of Two or More Independent Variables
Limits and Continuity
Partial Derivatives
Tangent Planes, Differentiability, and Linearization
More About Derivatives
Systems of Differential Equations
Linear Systems Theory
Linear Systems Applications
Nonlinear Autonomous Systems Theory
Nonlinear Systems Applications
Probability and Statistics
Counting
What Is Probability? Conditional Probability and Independence
Discrete Random Variables and Discrete Distributions
Continuous Distributions
Statistical Tools
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