In this course, participants learned the mathematical theory of linear differential equations and their application to systems such as the mass-spring system and other linear oscillations. This course was part two of a three-part series. The other two courses, Introduction to Linear Differential Equations and Nonlinear Differential Equations: Order and Chaos, were highly recommended for a more complete understanding of the subject matter. The course was offered on edX.org between 2015 and 2017 and was part of the ACE (American Council on Education) Alternative Credit Project™.
Linear Differential Equations
Course Introduction Video
Paul Blanchard is a 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. He has taught mathematics for more than thirty years, mostly at Boston University. His main area of mathematical research is complex analytic dynamical systems and the related point setsJulia sets and the Mandelbrot set. He is a Fellow of the American Mathematical Society. He is the author of Calculus, 3e with Dennis Berkey. For many of the last twenty years, his efforts have focused on modernizing the traditional sophomore-level differential equations course. That effort has resulted in numerous workshops and minicourses. He has also authored five editions of Differential Equations with Robert L. Devaney and Glen R. Hall.
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. Kyle received a Master of Arts degree in Physics from Boston University and Bachelor of Science degrees in Mathematics and Physics from Texas A&M University. While at Boston University he has been a teaching assistant for several Physics and Mathematics courses.