Advanced Calculus for Engineers
This MIT OpenCourseWare course covers complex variable theory and the calculus of residues, then moves into ordinary and partial differential equations, Bessel and Legendre functions, and Sturm-Liouville theory. The material is aimed at engineering students who already have a background in calculus and need the mathematical tools used in solving physical problems, from heat conduction to wave equations. Course materials include lecture notes, problem sets, and exams, following MIT's standard OpenCourseWare format of self-study resources without live instruction. There is no certificate; the course is offered freely for independent study under MIT's open license. It suits anyone who needs a rigorous, application-oriented grounding in the differential equations and special functions that show up repeatedly in engineering analysis.