Get started with custom lists to organize and share courses.

Sign up

Class Central is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

Differential Equations: Linear Algebra and NxN Systems of Differential Equations

Massachusetts Institute of Technology via edX

1 Review 119 students interested

Taken this course? Share your experience with other students. Write review

Overview

Differential equations are the mathematical language we use to describe the world around us. Most phenomena can be modeled not by single differential equations, but by systems of interacting differential equations.  These systems may consist of many equations. In this course, we will learn how to use linear algebra to solve systems of more than 2 differential equations. We will also learn to use MATLAB to assist us.

We will use systems of equations and matrices to explore:
  • The original page ranking systems used by Google,
  • Balancing chemical reaction equations,
  • Tuned mass dampers and other coupled oscillators,
  • Three or more species competing for resources in an ecosystem,
  • The trajectory of a rider on a zipline.

*Zipline photo by teanitiki on Flickr (CC BY-SA 2.0)

Syllabus

Unit 1: Linear Algebra
  1. Solving linear systems: elimination and RREF
  2. Nullspace, vector space
  3. Column space, determinants, and inverses
  4. eigenvalues, eigenvectors, and diagonalization
Unit 2: Systems of Differential Equations
  1. Solving homogeneous NxN systems of differential equations
  2. Matrix exponential and diagonalization
  3. Decoupling and solving inhomogeneous systems of equations
  4. Solving nonlinear systems with MATLAB

Taught by

David Jerison and Bjorn Poonen

Help Center

Most commonly asked questions about EdX EdX

Review for edX's Differential Equations: Linear Algebra and NxN Systems of Differential Equations
5.0 Based on 1 reviews

  • 5 star 100%
  • 4 star 0%
  • 3 star 0%
  • 2 star 0%
  • 1 star 0%

Did you take this course? Share your experience with other students.

Write a review
  • 1
Dna47a D
5.0 9 months ago
Dna47a completed this course, spending 8 hours a week on it and found the course difficulty to be medium.
Another excellent course from MIT. The lecture videos are excellent and so are the exercises. This course also has MATLAB based exercises which is wonderful. The problem sets are excellent and so are the staff and the community teaching assistants who are always there to help any time.
Was this review helpful to you? Yes
  • 1

Class Central

Get personalized course recommendations, track subjects and courses with reminders, and more.

Sign up for free

Never stop learning Never Stop Learning!

Get personalized course recommendations, track subjects and courses with reminders, and more.