Lesson 2: Numerical Methods and Differential Equations
Lesson Overview
Develop practical capability in numerical methods and differential equations as part of the Virtual Scientific Simulation Development with MATLAB learning path.
Topics Covered
Linear systems and numerical linear algebra
Root finding and optimization
Ordinary differential equations
Partial differential equation concepts
Numerical stability, step size, and solver selection
Error estimation and convergence
Practical Activity
Build a guided MATLAB exercise covering linear systems and numerical linear algebra.
Apply root finding and optimization to a practical engineering or data scenario.
Validate results and troubleshoot an issue involving error estimation and convergence.
Key Takeaways
Explain and apply linear systems and numerical linear algebra.
Use ordinary differential equations in a structured workflow.
Validate outputs with plots, metrics, tests, or simulation evidence.
