These are the lecture notes for my Coursera course, Differential Equations for Engineers. I cover solution methods for first-order differential equations, second-order differential equations with constant coefficients, and discuss some fundamental applications. I also cover the Laplace transform and series solution methods, systems of linear differential equations, including the very important normal modes problem, and partial differential equations and the method of separation of variables, including the use of Fourier series.
About the author
Dr. Jeffrey Chasnov received his BA from UC Berkeley in 1983, and his PhD from Columbia University in 1990. He had postdoctoral appointments at NASA, Stanford University, and the Université Joseph Fourier before expatriating to Hong Kong in 1993, where he is currently a Professor of Mathematics at the Hong Kong University of Science and Technology. Jeff has published over 30 research articles on fluid turbulence, population genetics, and C. elegans biology, and is an experienced lecturer in applied mathematics. One of his favorite courses is Introduction to Differential Equations.