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。
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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
2.4 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
2.10 Derivatives of Trigonometric Functions
Chapter 3 Applications of Derivatives and Dynamical Systems
3.1 Stability and the Derivative
3.2 More Complicated Dynamics
3.4 Reasoning About Functions
3.6 Leading Behavior and L'Hôpital's Rule
3.7 Approximating Functions with Lines and Polynomials
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
4.5 Definite and Indefinite Integrals
4.6 Applications of 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
5.7 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
6.4 Conditional Probability
6.5 Independence and Markov Chains
6.6 Displaying Probabilities
6.8 Descriptive Statistics
6.9 Descriptive Statistics for Spread
Chapter 7 Probability Models
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
8.5 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