Computational Science and Engineering I
MIT OpenCourseWare's Computational Science and Engineering I, taught by Gilbert Strang, covers linear algebra applications to networks, structures, and estimation, including Lagrange multipliers. The course moves through differential equations of equilibrium, Laplace's equation and potential flow, boundary-value problems, minimum principles, and calculus of variations, then covers Fourier series, the discrete Fourier transform, and convolution with their applications. Materials include lecture notes, assignments, and exams from MIT's course, previously titled Mathematical Methods for Engineers I. There is no instructor interaction or certificate, but the full set of problem sets and course materials is available for self-study under MIT's open license.