Calculus for the Life Sciences: Modelling the Dynamics of Life (Canadian edition) 2nd edition

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• Chapter 1: Introduction to Models and Functions
  • 1.1: Why Mathematics Matters
  • 1.2: Models in Life Sciences
  • 1.3: Variables, Parameters, and Functions
  • 1.4: Working with Functions
  • 1.5: Logical Reasoning and Language in Math and Life Sciences
  • 1: True/False Quiz
  • 1: Supplementary Problems
  • 1: Project
  
  
• Chapter 2: Modelling Using Elementary Functions
  • 2.1: Elementary Models
  • 2.2: Exponential and Logarithmic Functions; Exponential Models
  • 2.3: Trigonometric and Inverse Trigonometric Functions
  • 2: True/False Quiz
  • 2: Supplementary Problems
  
  
• Chapter 3: Discrete-Time Dynamical Systems
  • 3.1: Introduction to Discrete-Time Dynamical Systems
  • 3.2: Analysis of Discrete-Time Dynamical Systems
  • 3.3: Modelling with Discrete-Time Dynamical Systems
  • 3.4: Nonlinear Dynamics Model of Selection
  • 3.5: A Model of Gas Exchange in the Lung
  • 3: True/False Quiz
  • 3: Supplementary Problems
  • 3: Project
  
  
• Chapter 4: Limits, Continuity, and Derivatives
  • 4.1: Investigating Change
  • 4.2: Limit of a Function
  • 4.3: Infinite Limits and Limits at Infinity
  • 4.4: Continuity
  • 4.5: Derivatives and Differentiability
  • 4: True/False Quiz
  • 4: Supplementary Problems
  • 4: Project
  
  
• Chapter 5: Working with Derivatives
  • 5.1: Derivatives of Powers, Polynomials, and Exponential Functions
  • 5.2: Derivatives of Products and Quotients
  • 5.3: The Chain Rule and the Derivatives of Logarithmic Functions
  • 5.4: Derivatives of Trigonometric and Inverse Trigonometric Functions
  • 5.5: Implicit Differentiation, Logarithmic Differentiation, and Related Rates
  • 5.6: The Second Derivative, Curvature, and Concavity
  • 5.7: Approximating Functions with Polynomials
  • 5: True/False Quiz
  • 5: Supplementary Problems
  • 5: Project
  
  
• Chapter 6: Applications of Derivatives
  • 6.1: Extreme Values of a Function
  • 6.2: Three Case Studies in Optimization
  • 6.3: Reasoning about Functions: Continuity and Differentiability
  • 6.4: Leading Behaviour and L'Hôpital's Rule
  • 6.5: Graphing Functions: A Summary
  • 6.6: Newton's Method
  • 6.7: Stability of Discrete-Time Dynamical Systems
  • 6.8: The Logistic Dynamical System and More Complex Dynamics
  • 6.9: Case Study: Painting and Deep Breathing (Online)
  • 6: True/False Quiz
  • 6: Supplementary Problems
  • 6: Projects
  
  
• Chapter 7: Integrals and Applications
  • 7.1: Differential Equations
  • 7.2: Antiderivatives
  • 7.3: Definite Integral and Area
  • 7.4: Definite and Indefinite Integrals
  • 7.5: Techniques of Integration: Substitution and Integration by Parts
  • 7.6: Applications
  • 7.7: Improper Integrals
  • 7: True/False Quiz
  • 7: Supplementary Problems
  • 7: Projects
  
  
• Chapter 8: Differential Equations
  • 8.1: Basic Models with Differential Equations
  • 8.2: Equilibria and Display of Autonomous Differential Equations
  • 8.3: Stability of Equilibria
  • 8.4: Separable Differential Equations
  • 8.5: Systems of Differential Equations; Predator-Prey Model
  • 8.6: The Phase Plane
  • 8.7: Solutions in the Phase Plane
  • 8.8: Dynamics of a Neuron (online)
  • 8: True/False Quiz
  • 8: Supplementary Problems
  • 8: Projects
  
  
• Chapter FSV: Functions of Several Variables
  • FSV.1: Introduction
  • FSV.2: Graph of a Function of Several Variables
  • FSV.3: Limits and Continuity
  • FSV.4: Partial Derivatives
  • FSV.5: Tangent Plane, Linearization, and Differentiability
  • FSV.6: The Chain Rule
  • FSV.7: Second-Order Partial Derivatives and Applications
  • FSV.8: Partial Differential Equations
  • FSV.9: Directional Derivative and Gradient
  • FSV.10: Extreme Values
  • FSV.11: Optimization with Constraints
  
  
• Chapter PS: Probability and Statistics
  • PS.1: Introduction: Why Probability and Statistics
  • PS.2: Stochastic Models
  • PS.3: Basics of Probability Theory
  • PS.4: Conditional Probability and the Law of Total Probability
  • PS.5: Independence
  • PS.6: Discrete Random Variables
  • PS.7: The Mean, the Median, and the Mode
  • PS.8: The Spread of a Distribution
  • PS.9: Joint Distributions
  • PS.10: The Binomial Distribution
  • PS.11: The Multinomial and the Geometric Distributions
  • PS.12: The Poisson Distribution
  • PS.13: Continuous Random Variables
  • PS.14: The Normal Distribution
  • PS.15: The Uniform and the Exponential Distributions
  
  
• Chapter LA: Linear Algebra
  • LA.1: Identifying Location in a Plane and in Space
  • LA.2: Vectors
  • LA.3: The Dot Product
  • LA.4: Equations of Lines and Planes
  • LA.5: Systems of Linear Equations
  • LA.6: Gaussian Elimination
  • LA.7: Linear Systems in Medical Imaging
  • LA.8: Matrices
  • LA.9: Matrices and Linear Systems
  • LA.10: Linear Transformations
  • LA.11: Eigenvalues and Eigenvectors
  • LA.12: The Leslie Model: Age-Structured Population Dynamics