MATH 2930

First Order Ordinary Differential Equations

• [1-1] Direction Fields
• [1-2] Separable ODEs
• [1-3] Integrating Factors
• [1-4] Existence and Uniqueness
• [1-5] Autonomous ODEs
• [1-6] Initial Value Problems
  • Exact ODEs
• [1-7] Modeling I
• [1-8] Numerical I

Second and Higher Order Ordinary Differential Equations

• [2-1] Second Order ODEs
• [2-2] Reduction of Order
• [2-3] Undetermined Coefficients
• [2-4] Vibrations
• [2-5] Higher Order ODEs
• [2-6] Modeling II
• [2-7] Numerical II
• [2-8] Boundary Value Problems

Partial Differential Equations

Partial differential equations (PDEs) are differential equations involving two or more independent variables.

• [3-1] Fourier Series
• [3-2] Even/Odd Fourier Series
• [3-3] Heat Equation
• [3-4] Homogeneous PDEs
• [3-5] Nonhomogeneous PDEs