MATH 2552 - Differential Equations

MATH 2552 is a 4 credit core math class in differential equations.

Topic List

• Introduction
  • Mathematical Models
  • Direction Fields
  • Classification of Differential Equations
• First Order Equations
  • Separable Equations
  • Linear Equations
  • Modeling
  • Solution Structures
    • Intervals of Existence
  • Autonomous Equations
    • Population Dynamics
    • Phase Portraits
    • Stability of Solutions
• Linear Systems of First Order Equations
  • Two-Dimensional Systems
  • n-Dimensional Systems
  • Homogenous Systems with Constant Coefficients
    • Distinct Real Nonzero Eigenvalues
    • Zero Eigenvalues
    • Complex Eigenvalues
    • Repeated Real Eigenvalues
    • Phase Portraits
  • Shifted Systems
    • Salt in Several Tanks
    • Electric Circuits
• Second Order Linear Equations
  • Homogenous Equations
  • Homogenous Equations with Constant Coefficients
    • Distinct Real Nonzero Eigenvalues
    • Complex Eigenvalues
    • Repeated Eigenvalues
    • Zero Eigenvalues

This list is incomplete