Differential Equations
Qualitative, symbolic, and numerical analysis of dynamical models.
Qualitative, symbolic, and numerical analysis of dynamical models.
This course expects complete reasoning: definitions and hypotheses are stated, manual arguments remain visible, computation is labeled as exact or approximate, and conclusions are interpreted rather than merely reported.
Course outcomes
- Classify differential equations and select justified solution methods.
- Solve and verify foundational first-order equations and linear systems.
- Use slope fields and phase behavior to reason before calculating.
- Compare exact and numerical solutions while tracking assumptions and error.
Prerequisites
integral-calculus, linear-algebra