Home » Free Online Courses » Free Online Course on Linear Differential Equations

Free Online Course on Linear Differential Equations

Boston University is offering free online course on Linear Differential Equations. This course is an introduction to the mathematical theory of ordinary differential equations and follows a modern dynamical systems approach.

In this course, applicants will learn the mathematical theory of linear differential equations and their application to systems such as the mass-spring system and other linear oscillations. The course will start on August 1, 2017.

User Review
0 (0 votes)

Course At A Glance

Length: 8 weeks
Effort:  8-10 hours pw
Subject: Math
Institution: Boston University and edx
Languages: English
Price: Free
Certificate Available: Yes, Add a Verified Certificate for $49
Session: Course Starts on August 1, 2017

Providers’ Details

Boston University’s impact extends far beyond our campus in the heart of Boston. Our students, faculty, and alumni travel around the globe to study, teach, and become immersed in the communities in which they live. As one of the world’s leading research universities, Boston University is currently engaged in more than 340 separate research, service, and educational programs and projects. Today, BU is the fourth-largest private university in the country and a member of the American Association of Universities, a nonprofit association of 62 of North America’s leading research-intensive institutions.

About This Course

Phenomena as diverse as the motion of the planets, the spread of a disease, and the oscillations of a suspension bridge are governed by differential equations. This course is an introduction to the mathematical theory of ordinary differential equations and follows a modern dynamical systems approach. In particular, equations are analyzed using qualitative, numerical, and if possible, symbolic techniques.

MATH226 is essentially the edX equivalent of MA226; a one-semester course in ordinary differential equations taken by more than 500 students per year at Boston University. It is divided into three parts. MATH226.2x is the second part.

For additional information on obtaining credit through the ACE Alternative Credit Project, please visit here.

Why Take This Course?

This is a free online course. This MOOC will be offered with Video Transcripts in English.  Applicants can get a verified certificate.

Learning Outcomes

  • How to take advantage of techniques to model linear equations
  • How to analyze equations with two dependent variables using qualitative, numerical, and symbolic techniques
  • Forced second-order linear equations and related phenomena such as beats and resonance


Paul Blanchard

Paul Blanchard is professor of mathematics at Boston University. He grew up in Sutton, Massachusetts, USA, spent his undergraduate years at Brown University, and received his Ph.D. from Yale University.

Kyle Vigil

Kyle Vigil is a Ph.D. candidate in the Department of Physics at Boston University. His research involves high numerical aperture optical systems and sub-wavelength resolution microscopy.


Topics covered in MATH226.1x. Familiarity with the matrix-vector product AY where A is a 2×2 matrix and Y is a column vector with two entries. Linear algebra is NOT a prerequisite for this course.

How To Join This Course

  • Go to the course website link
  • Create an edX account to SignUp
  • Choose “Register Now” to get started.
  • EdX offers honor code certificates of achievement, verified certificates of achievement, and XSeries certificates of achievement. Currently, verified certificates are only available in some courses.
  • Once applicant sign up for a course and activate their account, click on the Log In button on the edx.org homepage and type in their email address and edX password. This will take them to the dashboard, with access to each of their active courses. (Before a course begins, it will be listed on their dashboard but will not yet have a “view course” option.)

Apply Now