Differential Equations in Action

About this Course

Write Python code to find numerical solutions to systems of differential equations. The models you create will fight wildfires, bring spaceships back to earth, and more!

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By the end of this course, you’ll develop an intuition for the use of differential equations in the applied sciences. You’ll also learn how to build mathematical models for systems of differential equations using a variety of techniques. Along the way, you’ll learn how to translate mathematical expressions into Python code and solve some really cool problems!

lesson 1
Rescuing Apollo 13, Part 1
Introduction to the Forward Euler Method.
lesson 2
Rescuing Apollo 13, Part 2
Comparing solvers, Heun’s Method.
Symplectic Euler Method.
lesson 3
Analyzing the Spread of Diseases
Implicit methods and stiffness.
lesson 4
There’s Plenty of Fish in the Sea?
Stability, sensitivity, and optimization.
lesson 5
Antilock Brake Systems
Friction, equilibria, and control theory.
lesson 6
The Path of a Forest Fire
Partial differential equations and heat conduction.
lesson 7
Advanced Applications of Numerical Methods
Chaos, software, and predictive capability.