Contents

• Contents
• List of Tables
• Overview and structure
• Learning aids in the text
  • Exercises
  • Exercise guides
  • Stop and think
  • Solutions to exercises
  • Chapter projects
  • Quick Reference Guide
  • MATLAB notes
• Syllabus suggestions
  • Modeling
    • Core models
      • First-order scalar population models
      • Heat-flow model
      • Multiple species models
      • Oscillatory models
      • Diffusion models, ordinary and partial
    • Other categories of models
    • Maximal modeling
    • Linking modeling to ideas
    • My preferences
    • Minimal modeling
  • Numerical methods
    • Overview
    • Maximal numerical methods
      • Initial-value solvers
      • Boundary-value solvers
      • Projects
    • Minimal numerical methods
  • Analytical methods
    • Overview
    • Maximal analytic solutions
    • Minimal analytic solutions
  • Graphs and phase diagrams
  • Partial differential equations
• Section by section emphasis
• Software
• Instructor aids