Differential Equations for Engineers

The math that models how systems actually change

Differential equations describe how things change over time — vibrations, heat flow, circuits, populations — which is why this course sits at the center of most engineering curricula. It covers both the theory and the applications, with concise lecture videos and problems after each one.

What's covered

• Ordinary differential equations across the first five weeks
• An introduction to partial differential equations in the final week
• Applied mathematical modeling, numerical analysis, and vibrations
• Supporting calculus and linear algebra concepts throughout

It's a beginner-level course in the sense of assuming no prior differential equations background, though a solid calculus foundation will make it much easier going. With over 76,000 learners, it's a well-worn path for engineering students — the structured, quiz-after-every-topic format is built for steady, self-paced progress rather than cramming.