Engineering Math: Differential Equations and Linear Algebra
MIT OpenCourseWare's introduction to the mathematics underlying mechanical engineering, covering linear algebra and ordinary differential equations together with numerical methods for solving systems of equations. Lessons build from matrix operations and eigenvalues toward first and second order ODEs, systems of differential equations, and numerical solution techniques used throughout engineering practice. Materials include lecture videos, problem sets, and exams drawn from an actual MIT mechanical engineering course, with solutions provided so learners can check their own work. The course assumes prior calculus and is aimed at students who need these tools for engineering coursework rather than pure math majors. All materials are free to access under MIT's open license, with no certificate offered.