Introduction to Differential Equations
Unit 1
- Introduction to differential equations and modeling
- Complex numbers
- Solving first order linear differential equations
Unit 2
- The complex exponential
- Sinusoids
- Higher order linear differential equations
- Characteristic polynomial
Unit 3
- Harmonic oscillators
- Operators
- Complex replacement
- Resonance
Unit 4
- Graphical methods and nonlinear differential equations
- Autonomous equations
- Numerical methods