Differential Equations in Action

In this course, you'll hone your problem-solving skills through learning to find numerical solutions to systems of differential equations. You'll write code in Python to fight forest fires, rescue the Apollo 13 astronauts, stop the spread of epidemics, and resolve other real-world dilemmas.

• Rescuing Apollo 13, Part 1
• Introduction to the Forward Euler Method.
• Rescuing Apollo 13, Part 2
• Comparing solvers, Heun's Method.,Symplectic Euler Method.
• Analyzing the Spread of Diseases
• Implicit methods and stiffness.
• There's Plenty of Fish in the Sea?
• Stability, sensitivity, and optimization.
• Antilock Brake Systems
• Friction, equilibria, and control theory.
• The Path of a Forest Fire
• Partial differential equations and heat conduction.
• Advanced Applications of Numerical Methods
• Chaos, software, and predictive capability.