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
MOOCs stand for Massive Open Online Courses. These arefree online courses from universities around the world (eg. StanfordHarvardMIT) offered to anyone with an internet connection.
How do I register?
To register for a course, click on "Go to Class" button on the course page. This will take you to the providers website where you can register for the course.
How do these MOOCs or free online courses work?
MOOCs are designed for an online audience, teaching primarily through short (5-20 min.) pre recorded video lectures, that you watch on weekly schedule when convenient for you. They also have student discussion forums, homework/assignments, and online quizzes or exams.