Modeling the Dynamics of Life :Calculus and Probability for Life Scientists ( ADM )

Publication subTitle :Calculus and Probability for Life Scientists

Publication series :ADM

Author: Frederick R. Adler  

Publisher: Cengage‎

Publication year: 2013

E-ISBN: 9781133866466

P-ISBN(Paperback): 9780840064189

Subject: O172 Calculus

Keyword: 代数、数论、组合理论,微积分,数学

Language: ENG

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Description

Understand the role of mathematics in biology with MODELING THE DYNAMICS OF LIFE: CALCULUS AND PROBABILITY FOR LIFE SCIENTISTS, Third Edition! Designed to demonstrate the importance of mathematics in breakthroughs in epidemiology, genetics, statistics, physiology, and other biological areas, this mathematics text provides you with the tools you need to succeed. Modeling problems, review problems, and over 100 graphing calculator or computer exercises help you visualize and conceptualize key concepts.教学资源:教师手册。 教学资源目前仅能提供给老师,获取方式如下: 1. 邮箱获取:将教辅需求发邮件至asia.infochina@cengage.com 2. 电话获取:010-83435111 3. 微信获取:关注我们的公众号,会由客服人员答疑解惑 公众号名称:圣智教育服务中心 微信号:Cengage_Learning 4. QQ获取:加入我们的QQ群 群名称:圣智教育服务中心 群号:658668132

Chapter

1.3 The Units and Dimensions of Measurements and Functions

1.4 Linear Functions and Their Graphs

1.5 Discrete-Time Dynamical Systems

1.6 Analysis of Discrete-Time Dynamical Systems

1.7 Expressing Solutions with Exponential Functions

1.8 Oscillations and Trigonometry

1.9 A Model of Gas Exchange in the Lung

1.10 An Example of Nonlinear Dynamics

1.11 An Excitable Systems:The Heart

Chapter 2 Limits and Derivatives

2.1 Introduction to Derivatives

2.2 Limits

2.3 Continuity

2.4 Computing Derivatives:Linear and Quadratic Functions

2.5 Derivatives of Sums,Powers,and Polynomials

2.6 Derivatives of Products and Quotients

2.7 The Second Derivative,Curvature,and Acceleration

2.8 Derivatives of Exponential and Logarithmic Functions

2.9 The Chain Rule

2.10 Derivatives of Trigonometric Functions

Chapter 3 Applications of Derivatives and Dynamical Systems

3.1 Stability and the Derivative

3.2 More Complicated Dynamics

3.3 Maximization

3.4 Reasoning About Functions

3.5 Limits at Infinity

3.6 Leading Behavior and L'Hôpital's Rule

3.7 Approximating Functions with Lines and Polynomials

3.8 Newton's Method

3.9 Panting and Deep Breathing

Chapter 4 Differential Equations,Integrals,and Their Applications

4.1 Differential Equations

4.2 Solving Pure-Time Differential Equations

4.3 Integration of Special Functions,Integration by Substitution,by Parts,and by Partial Fractions

4.4 Integrals and Sums

4.5 Definite and Indefinite Integrals

4.6 Applications of Integrals

4.7 Improper Integrals

Chapter 5 Analysis of Autonomous Differential Equations

5.1 Basic Differential Equations

5.2 Equilibria and Display of Autonomous Differential Equations

5.3 Stable and Unstable Equilibria

5.4 Solving Autonomous Differential Equations

5.5 Two-Dimensional Differential Equations

5.6 The Phase Plane

5.7 Solutions in the Phase Plane

5.8 The Dynamics of a Neuron

Chapter 6 Probability Theory and Descriptive Statistics

6.1 Introduction to Probabilistic Models

6.2 Stochastic Models of Diffusion and Genetics

6.3 Probability Theory

6.4 Conditional Probability

6.5 Independence and Markov Chains

6.6 Displaying Probabilities

6.7 Random Variables

6.8 Descriptive Statistics

6.9 Descriptive Statistics for Spread

Chapter 7 Probability Models

7.1 Joint Distributions

7.2 Covariance and Correlation

7.3 Sums and Products of Random Variables

7.4 The Binomial Distribution

7.5 Applications of the Binomial Distribution

7.6 Waiting Times:Geometric and Exponential Distributions

7.7 The Poisson Distribution

7.8 The Normal Distribution

7.9 Applying the Normal Approximation

Chapter 8 Introduction to Statistical Reasoning

8.1 Statistics:Estimating Parameters

8.2 Confidence Limits

8.3 Estimating the Mean

8.4 Hypothesis Testing

8.5 Hypothesis Testing:Normal Theory

8.6 Comparing Experiments:Normal Theory

8.7 Analysis of Contingency Tables and Goodness of Fit

8.8 Hypothesis Testing with the Method of Support

8.9 Regression

Answers

Bibliography

Index

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