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It is a calculus text, written so that a math professor without a biology background can teach from it successfully. New concepts are introduced in a three step manner. First, a biological example motivates the topic; second, the topic is then developed via a simple mathematical example; and third the concept is tied to deeper biological examples.
This allows students: to see why a concept is important; to understand how to use the concept computationally; to make sure that they can apply the concept. Table of contents 1. Preview and Review. Elementary Functions. Key Terms. Review Problems. Exponential Growth and Decay. More Population Models. Limits and Continuity. Limits at Infinity.
Properties of Continuous Functions. Formal Definition of Limits. Formal Definition of the Derivative. Product Rule and Quotient Rule. 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. Extrema and the Mean Value Theorem. Monotonicity and Concavity. Extrema, Inflection Points and Graphing. L'Hopital's Rule. Difference Equations - Stability. The Definite Integral.
The Fundamental Theorem of Calculus. Applications of Integration. Integration Techniques and Computational Methods. The Substitution Rule.
Integration by Parts. Practicing Integration and Partial Fractions. Improper Integrals. Numerical Integration. Tables of Integration. The Taylor Approximation. Differential Equations. Solving Differential Equations. Equilibria and Their Stability. Systems of Autonomous Equations. Linear Algebra and Analytic Geometry. Linear Systems. Linear Maps, Eigenvectors and Eignvalues.
Analytic Geometry. Multivariable Calculus. Functions of Two or More Independent Variables. Partial Derivatives. Tangent Planes, Differentiability, and Linearization.
More About Derivatives. Systems of Difference Equations. Systems of Differential Equations. Linear Systems: Theory. Linear Systems: Applications. Nonlinear Autonomous Systems: Theory.
Nonlinear Systems: Applications. Probability and Statistics. What Is Probability? Conditional Probability and Independence. Discrete Random Variables and Discrete Distributions. Continuous Distributions. Limit Theorems. Statistical Tools. Learn about new offers and get more deals by joining our newsletter. Sign up now. Follow us. Coronavirus delivery updates.
Calculus For Biology and Medicine
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Calculus for Biology and Medicine : International Edition
Calculus for Biology and Medicine. Claudia Neuhauser. Calculus for Biology and Medicine, Third Edition , addresses the needs of readers in the biological sciences by showing them how to use calculus to analyze natural phenomena—without compromising the rigorous presentation of the mathematics. While the table of contents aligns well with a traditional calculus text, all the concepts are presented through biological and medical applications. The text provides readers with the knowledge and skills necessary to analyze and interpret mathematical models of a diverse array of phenomena in the living world.
Calculus for Biology and Medicine
Calculus For Biology and Medicine, 3rd Edition