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.Why Take This Course?
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, and the 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