21-632 Introduction to Differential Equations

12 units, Carnegie Mellon University

This course serves as a broad introduction to Ordinary and Partial Differential Equations for beginning graduate students and advanced undergraduate students in mathematics, engineering, and the applied sciences. Mathematical sophistication in real analysis at the level of 21-355/356 is assumed. Topics include: essentials of Ordinary Differential Equations, origins of Partial Differential Equations, the study of model problems including the Poisson and Laplace equations, the heat equation, the transport equation, and the wave equation. (Three 50 minute lectures)

Prerequisites: (21-356 (min B) or 21-236 (min B) or 21-456 (min B)) and (21-373 (min B) or 21-237 (min B))

Offered: Fall 2026, Fall 2025

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