The course Differential Equations in Action is an online class provided by Udacity. The skill level of the course is Intermediate. It may be possible to receive a verified certification or use the course to prepare for a degree.
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.
Differential Equations in Action
Making Math Matter
Rescuing Apollo 13, Part 1
Rescuing Apollo 13, Part 2
Analyzing the Spread of Diseases
There’s Plenty of Fish in the Sea?
Antilock Brake Systems
The Path of a Forest Fire
Advanced Applications of Numerical Methods
Introduction to the Forward Euler Method.
Comparing solvers, Heun’s Method.
Symplectic Euler Method.
Implicit methods and stiffness.
Stability, sensitivity, and optimization.
Friction, equilibria, and control theory.
Partial differential equations and heat conduction.
Chaos, software, and predictive capability.
You’ll need a basic knowledge of programming in Python for this course, around the level of Intro to Computer Science. An understanding of Python packages, as discussed in Programming Foundations with Python, will also be helpful.
In addition, you’ll need to feel comfortable with trigonometry at the high school level, as well as basic vector algebra. This class will primarily involve solving differential equations numerically rather than analytically, but some exposure to calculus and physics at the level of Intro to Physics wouldn’t hurt.
Most of all, bring with you a love of learning and problem solving!
See the Technology Requirements for using Udacity.
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!
To obtain a verified certificate from Udacity you have to finish this course or the latest version of it, if there is a new edition. The class may be free of charge, but there could be some cost to receive a verified certificate or to access the learning materials. The specifics of the course may have been changed, please consult the provider to get the latest quotes and news.
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